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Electromagnetic Measurements

RF, Microwave and Millimeter–Wave Measurements

Thermistor Detectors

Technical Contacts:
Ronald A. Ginley
Tel: 303/497–3634
E–mail: rginley@boulder.nist.gov

George M. Free
Tel: 303/497–3609
E–mail: free@boulder.nist.gov

Thomas P. Crowley
Tel: 303/497–4133
E–mail: crowley@boulder.nist.gov

Puanani L. DeLara
Administration and Logistics
Tel: 303/497–3753
Fax: 303/497–7592
E–mail: calibration@boulder.nist.gov

Do not ship instruments or standards to the mailing address listed below. Contact the technical staff for the shipping address.

Mailing Address:
National Institute of Standards and Technology
M.C. 818.01
325 Broadway
Boulder, CO 80305–3328

Service ID
Number
Description of Services Fee ($)
The following tests are for thermistor and thermoelectric detectors with coaxial connectors.
61110S Coaxial Detectors in the Frequency Range from 0.1 MHz to 10 MHz 2206
61111S Additional Detector at the same Frequencies and Connector Type as First Device in 61110S 1449
61120S Coaxial Detectors at User Selected Frequencies in the Appropriate Frequency Range for the Connector Type. Up to 20 Frequency Points 2303
61121S Additional Detector at the same Frequencies and Connector Type as First Device in 61120S 1501
61122S Coaxial Detectors at User Selected Frequencies in the Appropriate Frequency Range for the Connector Type. 20 to 40 Frequency Points 2411
61123S Additional Detector at the same Frequencies and Connector Type as First Device in 61122S 1627
61124S Coaxial Detectors at User Selected Frequencies in the Appropriate Frequency Range for the Connector Type. 40 to 120 Frequency Points 2701
61125S Additional Detector at the same Frequencies and Connector Type as First Device in 61124S 1737
61126S Coaxial Detectors at User Selected Frequencies in the Appropriate Frequency Range for the Connector Type. Over 120 Frequency Points 2987
61127S Additional Detector at the same Frequencies and Connector Type as First Device in 61126S 1902
61137S NIST Model CN Coaxial Detectors at 21 Frequencies within the Frequency Range of 50 MHz to 18 GHz 2343
61138S NIST Model CN Coaxial Detectors at Single Customer Selected Frequency within the Frequency Range of 50 MHz to 18 GHz 23
The following tests are for thermistor detectors with waveguide flanges.
61144S Rectangular Waveguide Detectors with WR90 Flanges at 200 MHz Intervals within the Frequency Range of 8.2 GHz to 12.4 GHz 2797
61145S Additional Thermistor Detector at the same Frequencies as 61144S 1627
61146S Rectangular Waveguide Detectors with WR62 Flanges at 250 MHz Intervals within the Frequency Range of 12.4 GHz to 18.0 GHz 2797
61147S Additional Thermistor Detector at the same Frequencies as 61146S 1627
61148S Rectangular Waveguide Detectors with WR42 Flanges at 1 GHz Intervals within the Frequency Range of 18 GHz to 26.5 GHz 2956
61149S Additional Thermistor Detector at the same Frequencies as 61148S 1449
61150S Rectangular Waveguide Detectors with WR28 Flanges at 1 GHz Intervals within the Frequency Range of 26.5 GHz to 40 GHz 2956
61151S Additional Thermistor Detector at the same Frequencies as 61150S 1565
61152S Rectangular Waveguide Detectors with WR22 Flanges at 1 GHz Intervals within the Frequency Range of 33 GHz to 50 GHz 3203
61153S Additional Thermistor Detector at the same Frequencies as 61152S 1565
61154S Rectangular Waveguide Detectors with WR15 Flanges at 1 GHz Intervals within the Frequency Range of 50 GHz to 75 GHz, by Prearrangement Only 4785
61155S Rectangular Waveguide Detectors with WR10 Flanges at a Single Frequency within the Frequency Range of 92 GHz to 98 GHz At Cost
High Power Wattmeters.
61160S High Power Wattmeters at up to 60 Points (# of Frequencies times # of Power Levels) Choose Frequencies from 1 MHz to 1000 MHz at Power Levels from 1 W to 1000 W 2865
61161S Up to 90 Additional Test Points 1565
61162S Up to 240 Additional Test Points 2917
61163S Up to 540 Additional Test Points 4255
61164S Up to 1440 Additional Test Points 5567
61190S Special Microwave and RF Power Measurement Services, by Prearrangement At Cost
Fees are subject to change without notice.

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General Information

Calibration services are available for thermistor detectors with GPC–7, Type N, and 3.5 mm coaxial connectors and several waveguide sizes (8.2 GHz to 96 GHz).

Assistance is available for applying published, technically valid measurement techniques in lieu of previously available NIST calibration services for coaxial and waveguide calorimeters, thermoelectric power meters, and bolometer coupler units. The attainable limits of measurement uncertainty using these techniques are comparable to those of the previously available calibration services for these devices.

The Reports of Calibration and Special Test give the magnitude and phase of the reflection coefficient, effective efficiency, and calibration factor of the thermistor detector.

Definitions:

Effective Efficiency greek etae

The effective efficiency greek etae is the ratio of the bolometrically substituted dc power in the thermistor detector to the net CW rf microwave power delivered to the thermistor detector.

Bolometrically Substituted dc Power

The bolometrically substituted dc power is the change in dc (or audio frequency) bias power required to maintain the resistance of the thermistor element at a constant value following the application of rf or microwave power.

Calibration Factor, KB

The calibration factor is the ratio of the bolometrically substituted dc power in the thermistor detector to the CW rf microwave power incident upon the thermistor detector. K B =greek etae (1– | greek gamma  |  2 ).

Reflection Coefficient Magnitude, | greek gamma  | and Arg ( greek gamma )

The reflection coefficient magnitude and phase (argument of reflection coefficient) is the ratio of the reflected wave voltage amplitude to the incident wave voltage amplitude and phase.

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Commercial Coaxial Thermistor Detectors (61110S–61136S)

Specify frequencies in the range from 0.1 MHz to 10 MHz for special low–frequency thermistor detectors (Service ID Number 61110S). Values for greek etae and reflection coefficient magnitude are calculated from voltage and resistance measurements.

greek etae  = (Pdc)/(Prf), where Prf = V2/RP, and RP is the parallel equivalent resistance, and Pdc is the bolometrically substituted dc power in the bolometer.

The following table lists the frequencies at which measurements are made on thermistor detectors with GPC–7 or Type N connectors.

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Table 9.13. Measurement Ranges and Uncertainties for Coaxial Thermistor Detectors

Frequency Range Interval Relative Expanded Uncertaintya
in greek etae
(%)
1 GHz to 2 GHz
50 MHz

0.3

2 GHz to 4 GHz
100 MHz

0.3

4 GHz to 8 GHz
200 MHz

0.4

8 GHz to 12.4 GHz
200 MHz

0.4

12.4 GHz to 18 GHz
250 MHz

0.5 to 0.7

(a) These expanded uncertainties are typical for thermistor detectors with Type N connectors.

Uncertainties for the effective efficiency and calibration factor depend on the frequency and the characteristics of the unit being calibrated such as connector type, reflection coefficient, and repeatability.

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NIST Model CN Reference Standard (61137C–61138C)

This premium service provides he measurements as a function of frequency for a NIST–designed coaxial reference standard with a Type N connector. The reference standard, designated Model CN (Coaxial with a Type N connector), is a bolometric, dc–substitution power detector that must be used with a NIST Type IV power meter (available from several commercial sources). The detector is designed as an optimum transfer standard which can be measured directly in the NIST coaxial microcalorimeter. To use this service, the customer needs to have a CN detector (contact Fred R. Clague for information).

Figure 9.1 compares the expanded uncertainty of the premium service 
        with that of the regular service for coaxial thermistor detectors.

Measurements are made at 124 frequencies over the range from 50 MHz to 18 GHz (Service ID Number 61137C) or customer specified frequencies (Service ID Number 61138C). Figure 9.1 compares the expanded uncertainty of the premium service with that of the regular service for coaxial thermistor detectors.

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Waveguide Thermistor Detectors (61144S–61155S)

Measurements of effective efficiency, efficiency factor, and reflection coefficient are made for various waveguide sizes as follows:

Table 9.14. Measurement Range and Uncertainties for Waveguide Thermistor Detectors

Waveguide Band Frequency Range (GHz) Measurement Frequency or Interval Expanded Uncertainty in Effective Efficiency (%)

WR90

8.2 to 12.4

200 MHz Intervals

1.1

WR62

12.4 to 18

250 MHz Intervals

1.1

WR42

18 to 26.5

1 GHz Intervals

1.1

WR28

26.5 to 40

1 GHz Intervals

1.1

WR22

33 to 50

1 GHz Intervals

2.6

WR15

50 to 75

Specify Frequency

1.3

WR10

92 to 98

Specify Frequency

2.1

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High–Power Wattmeter (61160S)

A Special Test service is available for continuous wave (CW) high power wattmeters. Measurements are available at several frequencies from 1 MHz to 30 MHz (1 W to 1000  W) and 30 MHz to 400 MHz (1 W to 500 W). Wattmeters must be controllable via an IEEE–488 bus, have a Type N male input connector, and either have a Type N female output connector or an appropriate termination. The calibration factor, defined as the ratio of the wattmeter reading to the power incident upon it, will be supplied at each measurement point. The relative expanded uncertainty is typically less than 2%, depending on frequency, power level and electrical characteristics of the wattmeter/load combination. Call the technical contact for further information.

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References—Thermistor Detectors

Direct Comparison Transfer of Microwave Power Sensor Calibration, M. Weidman, Natl. Inst. Stand. Technol. (U.S.), Tech. Note 1379 (January 1996).

A Calibration Service for Reference Standards for Microwave Power, F. Clague, Natl. Inst. Stand. Technol., Tech. Note 1374 (May 1995).

Microcalorimeter for GPC–7 Coaxial Transmission Line, F. Clague, Natl. Inst. Stand. Technol., Tech. Note 1358 (August 1993).

Coaxial Reference Standard for Microwave Power, F. Clague and P. Voris, Natl. Inst. Stand. Technol., Tech. Note 1357 (April 1993).

Measurement Service for High–Power CW Wattmeter at the National Institute of Standards and Technology, J. A. Jargon and G. Rebuldela, Proc. of the Meas. Sci. Conf., Anaheim, CA (Jan. 1993).

Basic RF and Microwave Measurements: A Review of Selected Programs, A. J. Estin, J. R. Juroshek, R. B. Marks, F. R. Clague, and J. Wayde Allen, Metrologia 29, 135-151 (1992).

High Power CW Wattmeter Calibration at NIST, G. Rebuldela and J. A. Jargon, J. Res. Natl. Inst. Stand. Technol., 97 (6), pp. 673-687 (Nov.-Dec. 1992).

WR–10 Millimeter Wave Microcalorimeter, M. Weidman and P. Hudson, Natl. Bur. Stand. (U.S.), Tech. Note 1044 (June 1981).

A Semiautomated Six–Port for Measuring Millimeter–Wave Power and Complex Reflection Coefficient, M. Weidman, IEEE Trans. Micro. Theory Tech. MTT-25, 12 (Dec. 1977).

Performance Characteristics of an Automated Broad–Band Bolometer Unit Calibration System, E. Komarek, IEEE Trans. Micro. Theory Tech. MTT-25, 12 (Dec. 1977).

Theory of UHF and Microwave Measurements Using the Power Equation Concept, G. F. Engen, Natl. Bur. Stand. (U.S.), Tech. Note 637 (Apr. 1973).

Application of an Arbitrary Six–Port Junction to Power Measurement Problems, G. Engen and C. Hoer, IEEE Trans. Instrum. Meas. IM-21, 470 (Nov. 1972).

WR–15 Microwave Calorimeter and Bolometer Unit, M. Harvey, Natl. Bur. Stand. (U.S.), Tech. Note 618 (May 1972).

Accurate Microwave High–Power Measurements Using a Cascaded Coupler Method, K. E. Bramall, J. Res. Natl. Bur. Stand. (U.S.), 75C (3 and 4), 185 (July-Dec. 1971).

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Scattering Parameters of Passive Multi–Port Devices

Technical Contacts:
Ronald A. Ginley
Tel: 303/497–3634
E–mail: rginley@boulder.nist.gov

Puanani L. DeLara
Administration and Logistics
Tel: 303/497–3753
Fax: 303/497–7592
E–mail: calibration@boulder.nist.gov

Do not ship instruments or standards to the mailing address listed below. Contact the technical staff for the shipping address.

Mailing Address:
National Institute of Standards and Technology
M.C. 818.01
325 Broadway
Boulder, CO 80305–3328

Service ID
Number
Description of Services Fee ($)
The following tests are for two–port devices with coaxial connectors.
61210S Coaxial Fixed and Variable Attenuators with GR900 Connectors (10 MHz to 8.5 GHz) 2956
61211S Additional Two–Port Device at the same Frequencies as 61210S 1449
61212C Coaxial Fixed and Variable Attenuators with GPC–7 Connectors (10 MHz to 18 GHz) 2991
61213S Additional Two–Port Device at the same Frequencies as 61212C 1904
61214S Coaxial Fixed and Variable Attenuators with Type N Connectors (10 MHz to 18 GHz) 2991
61215S Additional Two–Port Device at the same Frequencies as 61214S 1904
61216S Coaxial Fixed and Variable Attenuators with 3.5 mm Connectors (50 MHz to 33 GHz) 2949
61217S Additional Two–Port Device at the same Frequencies as 61216S 1446
61218S Coaxial Fixed and Variable Attenuators with 2.92 mm Connectors (50 MHz to 40 GHz) 2949
61219S Additional Two–Port Device at the same Frequencies as 61218S 1446
61220S Coaxial Fixed and Variable Attenuators with 2.4 mm Connectors (50 MHz to 50 GHz) 2949
61221S Additional Two–Port Device at the same Frequencies as 61220S 1446
The following tests are for two–port devices with waveguide connectors.
61230S WR90 Rectangular Waveguide Fixed and Variable Attenuators (8.2 GHz to 12.4 GHz) 2797
61231S Additional Two–Port Device at the same Frequencies as 61230S 1515
61232S WR62 Rectangular Waveguide Fixed and Variable Attenuators (12.4 GHz to 18 GHz) 2797
61233S Additional Two–Port Device at the same Frequencies as 61232S 1515
61234S WR42 Rectangular Waveguide Fixed and Variable Attenuators (18 GHz to 26.5 GHz) 2956
61235S Additional Two–Port Device at the same Frequencies as 61234S 1565
61236S WR28 Rectangular Waveguide Fixed and Variable Attenuators (26.5 GHz to 40 GHz) 2956
61237S Additional Two–Port Device at the same Frequencies as 61236S 1565
61238S WR22 Rectangular Waveguide Fixed and Variable Attenuators (33 GHz to 50 GHz) 2956
61239S Additional Two–Port Device at the same Frequencies as 61238S 1565
61240S WR15 Rectangular Waveguide Fixed and Variable Attenuators (50 GHz to 75 GHz) At Cost
61241S Additional Frequencies for same device done on test 61240S At Cost
61242S WR10 Rectangular Waveguide Fixed and Variable Attenuators (92 GHz to 98 GHz) At Cost
61243S Additional Frequencies for same device done on test 61242S At Cost
61249S Special Attenuation Measurements, by Prearrangement At Cost
61250S Time Delay, Coaxial and Waveguide, by Prearrangement At Cost
The following tests are for one–port devices with coaxial connectors.
61260S Coaxial One–Port Devices with GR900 Connectors (10 MHz to 8.5 GHz) 2864
61261S Additional One–Port Device at the same Frequencies as 61260S 1423
61262S Coaxial One–Port Devices with GPC–7 Connectors (10 MHz to 18 GHz) 2864
61263S Additional One–Port Device at the same Frequencies as 61262S 1665
61264S Coaxial One–Port Devices with Type N Connectors (10 MHz to 18 GHz) 2864
61265S Additional One–Port Device at the same Frequencies as 61264S 1665
61266S Coaxial One–Port Devices with 3.5 mm Connectors (10 MHz to 33 GHz) 2949
61267S Additional One–Port Device at the same Frequencies as 61266S 1277
61268S Coaxial One–Port Devices with 2.92 mm Connectors (50 MHz to 40 GHz) 2949
61269S Additional One–Port Device at the same Frequencies as 61268S 1277
61270S Coaxial One–Port Devices with 2.4 mm Connectors (50 MHz to 50 GHz) 2949
61271S Additional One–Port Device at the same Frequencies as 61270S 1277
The following tests are for one–port devices with waveguide connectors.
61280S WR90 Rectangular Waveguide (8.2 GHz to 12.4 GHz) 2797
61281S Additional One–Port Device at the same Frequencies as 61280S 1407
61282S WR62 Rectangular Waveguide (12.4 GHz to 18 GHz) 2797
61283S Additional One–Port Device at the same Frequencies as 61282S 1407
61284S WR42 Rectangular Waveguide (18 GHz to 26.5 GHz) 2956
61285S Additional One–Port Device at the same Frequencies as 61284S 1449
61286S WR28 Rectangular Waveguide (26.5 GHz to 40 GHz) 2956
61287S Additional One–Port Device at the same Frequencies as 61286S 1449
61288S WR22 Rectangular Waveguide (33 GHz to 50 GHz) 2956
61289S Additional One–Port Device at the same Frequencies as 61288S 1449
61290S WR15 Rectangular Waveguide (50 GHz to 75 GHz) At Cost
61291S Additional Frequencies for the same Device done on 61290S At Cost
61292S WR10 Rectangular Waveguide (92 GHz to 98 GHz) At Cost
61293S Additional Frequencies for the same Device done on 61292S At Cost
61294S Special Reflection Coefficient Measurements, by Prearrangement At Cost
61295S Coaxial Fixed and Variable Phase Shifters; Frequency Range 1 GHz to 50 GHz, Phase Range 0º to 360º At Cost
61296S Waveguide Fixed and Variable Phase Shifters; Specify Frequencies for Waveguide Sizes WR10, WR22, WR28, WR42, WR62, and WR90 At Cost
61297S Special Tests of Phase Shifters, by Prearrangement At Cost
Fees are subject to change without notice.

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General Information

Microwave devices are characterized by their reflection and transmission properties. Single port devices such as matched terminations and offset shorts are characterized by measuring their reflection properties or voltage reflection coefficient. Multiport devices such as attenuators are characterized by measuring both their reflection and transmission properties.

Figure 9.2 shows the reflected and transmitted voltage waves for a typical two–port device. The voltage waves incident to the device are defined as a1 and a2. The voltage waves reflected from the device are defined as b1 and b2.

Figure 9.2 shows the 
        reflected and transmitted voltage waves for a typical two-port device.

The scattering parameters specify the relationship between the incident and reflected waves. In the case of the two–port in Figure 9.2, the scattering matrix is,

[b1] = [S11 S12] [a1]
[b2] = [S12 S22] [a2]

The scattering matrices shown are complex quantities conveying information on both the magnitude and phase of the quantities of interest.

The attenuation of a two–port device is defined as S12 and S21. Most passive microwave devices are reciprocal where S12 =  S21. The magnitude of the attenuation for a reciprocal device is commonly expressed in dB as

A = –20 log10 ( | S12 | ), dB

    = –20 log10 ( | S21 | ), dB

Similar definitions exist for single port devices such as terminations and offset shorts. A one port device can be thought of as the special case of a two port device where S12 = S21  = 0. The voltage reflection coefficient for a one port device is commonly given as

greek gamma  = b/a,

where a is the voltage wave incident on the device, and b is the voltage wave reflected from the device.

All scattering parameters are referenced to some idealized transmission line. At NIST, all coaxial measurements are referenced to an idealized, air dielectric, 50 greek omega (ohm)  transmission line of specified dimensions. Similarly, all waveguide measurements are referenced to an idealized, air dielectric, precision waveguide section of specified dimensions. Details of the reference standard are available on request.

Standards submitted for calibration should be in good repair and require only very minor cleaning of connector surfaces. NIST does not provide repair services. Items received requiring maintenance will be returned to the customer, and a handling fee will be charged.

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Coaxial Fixed and Variable Attenuators (61210S–61221S)

Coaxial fixed and variable attenuators are measured on either a NIST Dual Six–Port Vector Network Analyzer (VNA) over the frequency range from 10 MHz to 26.5 GHz or on a commercial VNA over the frequency range from 50 MHz to 50 GHz.

Coaxial attenuators are normally measured relative to a reference characteristic impedance of 50 greek omega (ohm). For fixed coaxial attenuators, the complete set of complex 10 are measured. For reciprocal devices, the Reports of Calibration give the magnitude and phase of S11, S22 and  S12 = S21 .

For variable attenuators, normally only the change in attenuation from the zero setting is of interest. The test report for variable attenuators show the change in the magnitude of S12 from the zero setting versus frequency for selected attenuator settings. Complete scattering parameter measurements for variable attenuators are available by special request. Uncertainties depend on the nominal attenuation, connector type, and frequency.

Attenuation measurements are available for devices with 2.4 mm, 2.92 mm, 3.5 mm, GPC–7, 14 mm, and Type N connectors as shown in Table 9.15. Measurements not listed may be available and you should call the technical contact to discuss the availability. The cost of such services must be negotiated and will, in general, be higher than other established services. Consultation is available by telephone.

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Table 9.15. Measurement Ranges and Uncertainties for Coaxial Two–Port Devices

Coaxial Connector
Type
Frequency
Range
Attenuation
Range
(dB)
Expanded Uncertainty
|S 12| = |S 21|
(dB)
GR900 10 MHz to 8.5 GHz 0 to 60 0.01 to 0.2
GPC–7 10 MHz to 18 GHz 0 to 60 0.01 to 0.2
Type N 10 MHz to 18 GHz 0 to 60 0.01 to 0.2
3.5 mm 10 MHz to 33 GHz 0 to 60 0.01 to 0.2
2.92 mm 10 MHz to 40 GHz 0 to 60 0.01 to 0.2
2.4 mm 10 MHz to 50 GHz 0 to 60 0.01 to 0.2

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Rectangular Waveguide Fixed and Variable Attenuators (61230S–61249S)

Fixed and variable (usually rotary vane) waveguide attenuators are calibrated on the NIST Dual 6–Port VNA. Service is available for frequencies corresponding to waveguide sizes WR10, WR15, WR22, WR28, WR42, WR62, and WR90 as shown in Table 9.16.

Table 9.16. Measurement Ranges and Uncertainties for Waveguide Two–Port Devices

Waveguide Band Frequency Range
(GHz)
Intervals Attenuation Range
(dB)
Expanded Uncertainty
|S 21|
(dB)

WR90

8.2 to 12.4

200 MHz

0 to 60

0.02 to 0.2

WR62

12.4 to 18

250 MHz

0 to 60

0.02 to 0.2

WR42

18 to 26.5

1 GHz

0 to 50

0.02 to 0.3

WR28

26.5 to 40

1  GHz

0 to 50

0.02 to 0.3

WR22

33 to 50

1 GHz

0 to 50

0.02 to 0.5

WR15

50 to 75

Specify

0 to 50

0.02 to 0.5

WR10

92 to 98

Specify

0 to 40

0.03 to 0.5

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Time Delay, Coaxial and Waveguide (61250S)

Time delay calibration services are available for both coaxial and waveguide delay lines. The time delay for the device under test is determined from phase measurements that are made on a vector network analyzer. The frequency range for the measurements ranges from 0.1 GHz to 100 GHz depending on the connectors involved. Devices submitted for calibration should be equipped with either precision coaxial connectors or precision waveguide flanges. The length of the device should typically be less than 30 cm. However, delay measurements can be made on longer devices in certain circumstances. Because of the specialized nature of these measurements, prior discussions should be held with NIST staff before submission of any device for testing.

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Coaxial One–Port Devices (61260S–61271S)

Services are available for complex reflection coefficient of passive devices with 2.4 mm, 2.92 mm, 3.5 mm, GPC–7, Type N and GR900 connectors. Available calibration frequencies are listed in Table 9.17.

Table 9.17. Measurement Ranges and Uncertainties for Coaxial One–Port Devices

Coaxial
Connector
Type
Frequency
Range
Expanded Uncertainty
|S 11| and  |S 22|
(dB)

GR900

10 MHz to 8.5 GHz

0.002 to 0.004

GPC–7

10 MHz to 18 GHz

0.003 to 0.005

Type N

10 MHz to 18 GHz

0.003 to 0.007

3.5 mm

10 MHz to 33 GHz

0.006 to 0.013

2.92 mm

10 MHz to 40 GHz

0.008 to 0.020

2.4 mm

10 MHz to 50 GHz

0.014 to 0.038

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Waveguide One–Port Devices (61280S–61294S)

The terminations must be fitted with standard waveguide flange connectors. The faces of these flanges should be machined flat and smooth and should not contain protrusions or indentations. Considerable care must be exercised in keeping the mating connector flange surfaces smooth and clean. Accurate alignment of the waveguide joint and flanges is also very important. The back of the flange which makes contact with the connecting bolts should be nominally flat and free of soft materials, including paint. The connecting holes of the flange should be symmetrically and accurately aligned to the rectangular waveguide opening. Available calibration frequencies are listed in Table 9.18.

Table 9.18. Measurement Ranges and Uncertainties for Waveguide One–Port Devices

Waveguide Band Frequency Range
(GHz)
Intervals Expanded Uncertainty
|S 11| and  |S 22|
(dB)

WR90

8.2 to 12.4

200 MHz

0.005

WR62

12.4 to 18

250 MHz

0.002

WR42

18 to 26.5

1 GHz

0.004

WR28

26.5 to 40

1 GHz

0.004

WR22

33 to 50

1 GHz

0.009

WR15

50 to 75

Specify

0.009

WR10

92 to 98

Specify

0.012

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Phase Shifters, RF and Microwave (61295S–61297S)

The specific phase shift services are available on a limited basis. Because of the specialized nature of coaxial phase shifting components, prior discussions should be held with NIST staff before submission of any devices to NIST. Items to be calibrated must be fitted with connectors having a know plane of reference, such as sexless precision connectors, or Type N connectors meeting Mil. Std. C39012. The phase angle is greek psi  + 360 n, where n is an integer. The value of n is not determined. The expanded uncertainty is 0.5 °.

For rectangular waveguide, the measurement services are normally limited to phase shift difference. Measurements are made on continuously variable waveguide phase shifters with the zero value of the scale as the nominal reference position. The expanded uncertainty is typically 0.5 °.

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References—CS–Parameters of Passive 1– and 2–Port Devices

Measurements of the Characteristic Impedance of Coaxial Air Line Standards, J. R. Juroshek and G. M. Free, IEEE Trans. on MTT, 42 (2), 186-191 (Feb. 1994).

Basic RF and Microwave Measurements: A Review of Selected Programs, A. J. Estin, J. R. Juroshek, R. B. Marks, F.R. Clague, and J. Wayde Allen, Metrologia 29, 135-151 (1992).

"Thru–Reflect–Line": An Improved Technique for Calibrating the dual Six–Port Automatic Network Analyzer, G. F. Engen and C. A. Hoer, IEEE Trans. Micr. Theory Tech. MTT-27, 987 (Dec. 1979).

A Network Analyzer Incorporating Two Six–Port Reflectometers, C. A. Hoer, IEEE Trans. Micr. Tech. MTT-25, 1070 (Dec. 1977).

The Six–Port Reflectometer: An Alternative Network Analyzer, G. F. Engen, IEEE Trans. Micr. Theory Tech. MTT-25, 1075 (Dec. 1977).

Application of Waveguide and Circuit Theory to the Development of Accurate Microwave Measurement Methods and Standards, R. W. Beatty, Natl. Bur. Stand. (U.S.), Monogr. 137 (Aug. 1973).

Specifications and Test Methods for Fixed and Variable Attenuators, dc to 40 GHz, IEEE Standard 474 (1973).

Basic Theory of Waveguide Junctions and Introductory Microwave network Analysis, D. M. Kearns and R. W. Beatty, Intl. Ser. of Monogr. in Electromag. Waves 13, 59, Pergammon Press, New York, NY (1967).

Electrical Parameters of Precision, Coaxial, Air Dielectric Transmission Lines, R. E. Nelson and M. R. Coryell, Natl. Bur. Stand. (U.S.), Monogr. 96 (June 1966).

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High Accuracy Attenuation Measurements

Technical Contacts:
Ronald A. Ginley
Tel: 303/497–3634
E–mail: rginley@boulder.nist.gov

Jeff A. Jargon
Tel: 303/497–3596
E–mail: jargon@boulder.nist.gov

Puanani L. DeLara
Administration and Logistics
Tel: 303/497–3753
Fax: 303/497–7592
E–mail: calibration@boulder.nist.gov

Do not ship instruments or standards to the mailing address listed below. Contact the technical staff for the shipping address.

Mailing Address:
National Institute of Standards and Technology
M.C. 818.01
325 Broadway
Boulder, CO 80305–3328

Service ID
Number
Description of Services Fee ($)
61300C High Accuracy Attenuation: Set Up Charge, per order At Cost
61310C Coaxial Fixed and Variable Attenuators Measured at 30 MHz, Attenuation 0 dB to 120 dB At Cost
61320C Waveguide Below–cutoff (Piston) Attenuators, Coaxial Connectors, Measured at 30 MHz, Attenuation 0 dB to 120 dB (Total Insertion Loss) At Cost
61330S Attenuation Measurements of Three–Port and Two–Port Devices at 1.25 MHz, 0 dB and 6 dB At Cost
61350C Coaxial Fixed and Variable Phase Shifters; Characteristics Phase Shift Difference; Precision Connectors; Measured at 30 MHz, Range 0º to 360º At Cost
Fees are subject to change without notice.

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Coaxial Fixed and Variable Attenuators (61310C)

Coaxial fixed and variable attenuators are measured with reference to the NIST waveguide–below–cutoff (piston) attenuator at a fixed frequency of 30 MHz.

Coaxial attenuators are normally measured in a system having a characteristic impedance of 50 greek omega (ohm). Typical expanded uncertainties range from 0.01 dB to 1 dB depending on the nominal attenuation and connector repeatability.

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Waveguide–Below–Cutoff (Piston) Attenuator Measurements at 30 MHz (61320S)

Incremental attenuation is the change in attenuation of an adjustable attenuator between a reference setting (usually zero) and any other setting. The same restraints of system conditions apply as for attenuation. The term "attenuation difference" is sometimes applied to this case and usually refers to two nonzero settings.

Measurements on waveguide below–cutoff (piston) attenuators are performed at 30 MHz. In any measurement, the maximum power delivered to the test attenuator is 400 mW. If the attenuator cannot tolerate this power level, some reduction of measurement range will be required.

Piston attenuators are normally calibrated in a system having a characteristic impedance of 50 greek omega (ohm). Since only measurements of incremental attenuation are made on this type of attenuator, Type BNC, C, TNC, and similar connectors are acceptable, but precision connectors are preferred to reduce rf leakage. The uncertainties depend upon the quality of the attenuator and connectors, as well as upon the VSWR (voltage standing–wave ratio) of the attenuator, and the magnitude of attenuation. Typical Type B standard uncertainties range from 0.003 dB to 0.005 dB per 10 dB of attenuation. Total insertion loss must be less than 120 dB.

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Attenuation Measurements at 1.25 MHz (61330S)

An additional measurement service is available for attenuation measurements of special three–port devices at 1.25 MHz. A measurement system has been developed to measure the change in the ratio S21/S31 of special stable two–position, three–port devices sometimes called voltage doublers, at 1.25 MHz. The device must have an input for a 1.25 MHz source (port 1), a reference output (port 3), and an output (port 2) with a level switchable to two different values. The two levels of the bi–level output have a nominal ratio of 6.0206 dB.

If Pr1 is the reference power level when the bi–level output is at level 1 (Pb1), and Pr2 is the reference power level when the bi–level output is at level 2 (Pb2), then the parameter measured is given by the following equation:

      10log subscript10(P subscript b1 
        /P subscript r1 -10 log subscript 10(P subscript b2 
        /P subscript r2)
where the subscripts (1) and (2) refer to the switch positions 1 and 2, respectively. The above is equivalent to
10 log subscript 10 
       |(S subscript 21 (1) /S subscript 31(1))/(S subscript 
        21 (2)/S subscript 31 (2))| superscript  
        2.
The loads presented to the two outputs are 50 greek omega (ohm). The device must allow the signal input to be of such strength that the bi–level output is at least 10 mW in the high–level position.

The Type A standard uncertainty of the measurement system in measuring a 6 dB change in attenuation is 8.2 µB. Typical Type B standard uncertainties are on the order of 0.3 µB to 0.5 µB  (1 µB =  10–5 dB). Two–port step attenuators having a nominal change in attenuation of 6 dB can also be measured by this system at 1.25 MHz.

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Phase Shifters (61350C)

The specific phase shift services are available on a limited basis depending on other demands and staff availability. Measurements not listed may possibly be provided if sufficient advance notice is given. The cost of such services must be negotiated and will, in general, be higher than the established phase shift services. Consultation by telephone or written correspondence is suggested. Often a measurement technique can be suggested that will permit the customer to perform calibrations in–house with appropriate reference to other NIST–supported standards. The expanded uncertainty is 0.5°.

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References—High Accuracy Attenuation Measurements

A 30 MHz Comparison Receiver, J. A. Jargon, Asia–Pacific Microwave Conf. Proc., Taejon, Korea (Oct. 1995).

A Revised Uncertainty Analysis for the NIST 30 MHz Attenuation Calibration System, J. A. Jargon, Proc. of the Meas. Sci. Conf., Pasadena, CA (Jan. 1994).

Basic RF and Microwave Measurements: A Review of Selected Programs, A. J. Estin, J. R. Juroshek, R. B. Marks, F. R. Clague, and J. Wayde Allen, Metrologia 29, 135-151 (1992).

A Calibration Service for 30 MHz Attenuation and Phase Shift, R.T. Adair and D. H Russell, Natl. Bur. Stand. (U.S.), SP 250-32 (1988).

1.25 MHz Attenuation Measurement System, R. A. Ginley and C. M. Allred, IEEE Trans. Instrum. Meas., IM-35 (4), Pt. 1 (Dec. 1986).

Specifications and Test Methods for Fixed and Variable Attenuators, dc to 40 GHz, IEEE Standard 474 (1973).

UHF and Microwave Phase–Shift Measurements, D. A. Ellerbach, Proc. IEEE 55 (6), 960 (June 1967).

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Thermal Noise Measurements

Technical Contacts:
James P. Randa
Tel: 303/497-3150
email: randa@boulder.nist.gov

George M. Free
Tel: 303/497–3609
E–mail: free@boulder.nist.gov

Puanani L. DeLara
Administration and Logistics
Tel: 303/497–3753
Fax: 303/497–7592
E–mail: calibration@boulder.nist.gov

Do not ship instruments or standards to the mailing address listed below. Contact the technical staff for the shipping address.

Mailing Address:
National Institute of Standards and Technology
M.C. 818.01
325 Broadway
Boulder, CO 80305–3328

Service ID Number Frequency Connector Type Device Requirements/Service Fee ($)
61410S
30 MHz
60 MHz

Coaxial
N Precision (PIN)
GPC 3.5 (PIN)
GPC 7
14 mm

Temperature < 15 000 K
(ENR < 17 dB)
VSWR < 1.2
 
Set Up Charge, per order 1727
Per Frequency 2791
61420S
1.0 GHz to
12.4 GHz
Continuous
Frequencies

Coaxial
14 mm (1 GHz to 4 GHz)
GPC 7
N Precision (PIN)
GPC 3.5 (PIN)
GPC 2.4 (PIN) (8 GHz to 12.4 GHz)
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
Set Up Charge, per order 2257
Per Frequency 255
61425S
12.4 GHz to
18.0 GHz
Continuous
Frequencies
Coaxial
GPC 7
N Precision (PIN)
GPC 3.5 (PIN)
GPC 2.4 (PIN)
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
Set Up Charge, per order 3117
Per Frequency 1787
61430S
18.0 GHz to
26.0 GHz
Continuous
Frequencies
Coaxial
GPC 3.5 (PIN)
GPC 2.4 (PIN)
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
Set Up Charge, per order 3117
Per Frequency 1787
61435S


26.5 GHz to
40 GHz
Continuous
Frequencies

Coaxial
GPC 2.4 (PIN)
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
Set Up Charge, per order 4434
Per Frequency 2571
61450S
8.2 GHz to
12.4 GHz
Continuous
Frequencies
Waveguide
WR90
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
Set Up Charge, per order 2487
Per Frequency 255
61455S
12.4 GHz to
18.0 GHz
Continuous
Frequencies
Waveguide
WR62
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
Set Up Charge, per order 3117
Per Frequency 1702
61460S
18.0 GHz to
26.0 GHz
Continuous
Frequencies
Waveguide
WR42
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
  Set Up Charge, per order 3117
  Per Frequency 1702
61465S
26.5 GHz to
40.0 GHz
Continuous
Frequencies
Waveguide
WR28
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
  Set Up Charge, per order 4136
  Per Frequency 1954
61470S
33 GHz to
50 GHz
Continuous
Frequencies
Waveguide
WR22
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
  Set Up Charge, per order 4434
  Per Frequency 2403
61475S
50 GHz to
65 GHz
Continuous
Frequencies
Waveguide
WR15
Temperature < 15 000 K
(ENR < 17 dB)
Reflection Coefficient < 0.2
 
Set Up Charge, per order 4434
Per Frequency 3073
61495S Special Noise Temperature Measurements, by Prearrangement At Cost
Fees are subject to change without notice.

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Noise Temperature Measurements (61410S–61465S)

Noise temperature measurements are available on single–port, coaxial and rectangular–waveguide noise sources under conditions of continuous, unmodulated operation. Precision coaxial connectors or clean, smooth, and flat standard EIA waveguide flanges are required. Measurement results on devices submitted with adapters attached may apply only to the source/ adapter combination. Complete operating instructions and special electronic connectors should be supplied, and pertinent operating conditions (voltages, circuits, etc.) should be specified for the noise source to be measured. Devices submitted that are not of sufficient quality or not mechanically compatible with the measuring system will be rejected, and an appropriate fee will be charged. Availability of measurements at specific frequencies and for various connector types is specified above.

The measurement uncertainty varies with noise temperature, reflection coefficient, connector type, and source stability. The relative expanded uncertainty typically lies between 0.9 % and 1.5 % of the noise temperature.

The noise temperature measured and reported is the available noise temperature, defined to be the available noise power per unit bandwidth divided by Boltzmann's constant. For noise temperatures above T0= 290K, we also report the excess noise ratio delivered into a reflectionless load (ENR0). It is defined by

where is the available noise temperature, and is the reflection coefficient of the device under test. If the available ENR is desired, it can be computed directly from the available noise temperature by

For most devices, the difference between ENR0 and ENRav is very small.

NIST noise–temperature measurements are performed on total–power radiometers, using two primary thermal noise standards, one of which is at ambient temperature and one of which is at cryogenic (liquid nitrogen) temperature. For measurements at 30 and 60 MHz, tunable coaxial standards [1] are used. From 1 to 12.4 GHz, coaxial standards [2] are used, and for 12.4 GHz and above, waveguide/horn standards [3,4] are used. The radiometers themselves are described in references [1,5–7]. The NIST radiometers are double–sideband, total–power radiometers. The IF frequency is 0 (i.e., the LO frequency is set to the measurement frequency), and the IF bandwidth BIF ranges from 5 MHz to 20 MHz, depending on the particular radiometer. Thus the reported noise temperature represents an average over a frequency range of 2BIF centered at the measurement frequency.

At least three independent measurements (including separate system calibrations, where applicable) of the noise temperature are made at each frequency. The noise source is allowed to warm up before any measurements are made. For many connector types and frequencies, the measurements are made through adapters. The procedure for characterizing the adapter and removing its effect is described in references [8,9].

The combined standard uncertainty is composed of type–A and type–B uncertainties [10,11]. Type–A uncertainties (uA) are those that are measured and determined by statistical methods, such as the standard deviation of the means of several independent measurements of the quantity of interest. Type–B uncertainties (uB) are those determined by other means, such as estimates of systematic uncertainties. The uncertainty reported is the expanded uncertainty, given by

This corresponds approximately to a 95 % confidence level. Details of the uncertainty analysis can be found in references [5-7,12].

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Special Noise Temperature Measurements (61495S)

Measurements of electromagnetic thermal noise other than those listed above can sometimes be arranged on a case–by–case basis. These may include measurements through adapters, measurements out of the parameter ranges specified above, and measurements on systems currently under development. Such measurements should be discussed with one of the technical contacts before submitting a device for calibration.

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References—Noise Temperature Measurements

[1] NBS 30/60 Megahertz Noise Measurement System Operation and Service Manual, G. J. Counas and T. H. Bremer, NBSIR 81-1656 (Dec. 1981).

[2] A Coaxial Noise Standard for the 1 GHz to 12.4 GHz Frequency Range, W. C. Daywitt, NBS Tech. Note 1074 (Mar. 1984).

[3] Design and Error Analysis for the WR10 Thermal Noise Standard, W. C. Daywitt, NBS Tech. Note 1071 (Dec. 1993).

[4] The noise temperature of an arbitrarily shaped microwave cavity with application to a set of millimetre wave primary standards, Metrologia, 30 (5) 471-478 (Oct./Nov. 1993).

[5] The 30/60 MHz Tuned Radiometer—The NIST System for Noise Temperature Measurements, C. A. Grosvenor and R. L. Billinger, NIST Tech. Note 1525 (Mar. 2002).

[6] Design and Testing of NFRad—A New Noise Measurement System, C. A. Grosvenor, J. Randa, and R. L. Billinger, NIST Tech. Note 1518 (Mar. 2000).

[7] Noise–Temperature Measurement System for the WR–28 Band, J. Randa and L. A. Terrell, NIST Tech. Note 1395 (Aug. 1997).

[8] Determining adapter efficiency by envelope averaging swept frequency reflection data, W. C. Daywitt, IEEE Trans. on Microwave Theory and Techniques, MTT–38 (11) 1748-1752 (Nov. 1990).

[9] Single–port technique for adaptor efficiency evaluation, S. P. Pucic and W. C. Daywitt, 45th ARFTG Conference Digest, 113-118, Orlando, FL (May 1995).

[10] Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results, B. N. Taylor and C. E. Kuyatt, NIST Tech. Note 1297 (Sept. 1994).

[11] ISO Guide to the Expression of Uncertainty in Measurement, Intl. Org. for Standardization; Geneva, Switzerland (1993).

[12] Uncertainties in NIST Noise–Temperature Measurements, J. Randa, NIST Tech. Note 1502 (Mar. 1998).

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Dimensional Verification of Coaxial Air Line Standards

Technical Contacts:
George M. Free
Tel: 303/497–3609
E–mail: free@boulder.nist.gov

Puanani L. DeLara
Administration and Logistics
Tel: 303/497–3753
Fax: 303/497–7592
E–mail: calibration@boulder.nist.gov

Do not ship instruments or standards to the mailing address listed below. Contact the technical staff for the shipping address.

Mailing Address:
National Institute of Standards and Technology
M.C. 818.01
325 Broadway
Boulder, CO 80305–3328

Service ID
Number
Description of Services Fee ($)
61510S Dimensional Measurement of Air Lines and Verification of Characteristic Impedance from Dimensional Measurement, by Prearrangement At Cost
Fees are subject to change without notice.

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Coaxial Air Lines (61510S)

Dimensional measurements are made on the inner and outer conductors of a beadless, coaxial, air line standard. The characteristic impedance of the air line standard is then computed from these dimensional measurements. The service is currently available for 1.85 mm, 2.4 mm, 2.92 mm, 3.5 mm, GPC–7, 14 mm, and Type N air line standards. The computations for characteristic impedance is made over the normal operating frequency range of the air line standard. Consultation is available by telephone.

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Dielectric and Magnetic Material Measurements

Technical Contact:
James R. Baker–Jarvis
Tel: 303/497–5305
E–mail: jjarvis@boulder.nist.gov

Puanani L. DeLara
Administration and Logistics
Tel: 303/497–3753
Fax: 303/497–7592
E–mail: calibration@boulder.nist.gov

Do not ship instruments or standards to the mailing address listed below. Contact the technical staff for the shipping address.

Mailing Address:
National Institute of Standards and Technology
M.C. 818.01
325 Broadway
Boulder, CO 80305–3328

Service ID
Number
Description of Services Fee ($)
61620S Special Tests for Dielectric and Magnetic Materials 1 kHz to 60 GHz At Cost
61640S Special Consulting and Advisory Services for Dielectric and Magnetic Materials, by Prearrangement At Cost
Fees are subject to change without notice.

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Special Tests for Dielectric and Magnetic Materials (61620S)

A special–test measurement service is available for measuring the complex permittivity, greek epsilon * and permeability, µ* of dielectric and magnetic materials, as well as the surface resistance of conductors, at selected RF/microwave frequencies in the spectral range 1 kHz to 60 GHz. The service is capable of characterizing fluids, powders, or bulk solids at room temperatures (23 °C) and, in some cases, over a temperature range of approximately –80 °C to 150 °C. Customers interested in high frequency material characterization measurements should contact NIST staff to discuss their specific needs. The optimal measurement technique used is selected from a number of measurement techniques developed at NIST. The selection depends on a number of factors including whether the material is in fluid, powder or solid form, the volume of material available, its shape factor (for solids), its anticipated loss factor, whether the material is anisotropic, and the desired measurement frequencies and ambient temperature. The resulting measurement uncertainties depend on the technique selected as well as the nominal permittivity of the material under test.

Upon request, NIST staff will prepare a detailed cost quotation that includes estimates of the measurement uncertainties. For the case of solids, each measurement method requires accurately machined test samples with optical–standard tolerances for dimensions, flatness and parallelism. NIST can either perform the machining of test samples, the cost of which is included in the price quotation, or furnish drawings of sample specifications for the customer to perform the necessary machining.

The measurement techniques available at NIST can be divided into three categories: a) cavity resonator methods for low–loss materials (tan greek delta < 0.01), b) broadband transmission line methods for medium to high–loss materials, and c) low–frequency impedance measuring methods. Most cavity resonators operate at frequencies above 100 MHz and usually provide single–frequency data, unless the resonators are tunable or can be operated on higher–order modes. Data are usually provided in tabular form. In general, better measurement uncertainties are achievable using cavities and are about 0.5% for greek epsilon'.

Broadband transmission line techniques include coaxial air lines and waveguides of various dimensions, as well as 1– and 2–port open–ended coaxial probe methods. Measured broad–band data are normally provided as linear or logarithmic plots of greek epsilon', greek epsilon and µ', µ" as a function of frequency with uncertainties included; relative uncertainties of 5% to 10% are typical. The low–frequency impedance measuring methods typically cover the frequency range 1 kHz to 10 MHz and involve measuring capacitance changes for dielectric materials and inductance changes for magnetic materials.

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References—Dielectric and Magnetic Material Measurements

Complex Permeability of Demagnetized Microwave Ferrites Near and Above Gyromagnetic Resonance, J. Krupka et al, IEEE Trans. Mag. 32 (3) pp. 1924-1933 (May 1996).

Dielectric and Magnetic Measurements from –50 °C to 200 °C and in the Frequency Band 50 MHz to 2 GHz, J. Baker–Jarvis et al, NIST Internal Report 5045 (Mar. 1996).

Dielectric Measurements of Printed–Wiring and Circuit Boards, Thin Films, and Substrates: An Overview, J. Baker–Jarvis and C. A. Jones, Mat. Res. Soc. Symp. Proc. 381, pp. 153-164 (April 1995).

Analysis of an Open–Ended Coaxial Probe with Lift–Off for Nondestructive Testing, J. Baker-Jarvis et al, IEEE Trans I&M, 43 (5) pp 711-718 (Oct. 1994).

Transmission/Reflection and Short–Circuit Line Methods for Measuring Permittivity and Permeability, J. Baker–Jarvis et al, NIST Tech. Note 1355-R (Dec. 1993).

The NIST 60–mm Diameter Cylindrical Cavity Resonator: Performance Evaluation for Permittivity Measurements, E .J. Vanzura et al, NIST Tech. Note 1354 (Aug. 1993).

NIST Measurement Service for Electromagnetic Characterization of Materials, J. H. Grosvenor, NISTIR 5006 (Aug. 1993).

Shielded Open–Circuited Sample Holders for Dielectric and Magnetic Measurements of Liquids and Powders, J. Baker–Jarvis et al, NISTIR 5001 (Mar. 1993).

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Calibration Services, NIST, 100 Bureau Drive, Stop 2330, Gaithersburg, MD 20899-2330
Telephone: 301-975-2092, Fax: 301-869-3548, E-Mail: calibrations@nist.gov

Date created: 06/30/1999
Last updated: 06/14/2004