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The commercial radiometers were selected for extended<br />

frequency response at the highest, 10 10 V/A signal, gain.<br />

The electronic and thermal time constants were determined<br />

from frequency dependent signal gain measurements.<br />

Figure 3 shows that the responsivity roll-on originating<br />

from the differentiating time constant m 4 can cancel the<br />

responsivity roll-off produced by the integrating time<br />

constant m 2 , resulting in a m 3 = 109 Hz upper roll-off<br />

frequency (produced by the remaining integrating time<br />

constant).<br />

responsivity in the center area which makes it possible use<br />

of this detector in radiant power measurement mode with<br />

low uncertainty. A temperature coefficient of responsivity<br />

of 0.19 %/degree C was measured for the commercial<br />

pyroelectric detectors with a relative expanded<br />

measurement uncertainty of 20 % (k=2).<br />

-2<br />

-2 -1 0 1 2<br />

-2<br />

11000<br />

-1<br />

1.005<br />

1.005<br />

0.989<br />

1.001<br />

1.009<br />

1.001<br />

-1<br />

Responsivity (V/W)<br />

10500<br />

10000<br />

9500<br />

9000<br />

9570 Mid IR<br />

9532#2 Mid IR<br />

9570 Near IR<br />

9532#2 Near IR<br />

PD2<br />

Ge<br />

LiTaO3<br />

LiNbO3<br />

9570<br />

9532#2<br />

8500<br />

0 5 10 15 20<br />

Z (mm)<br />

0<br />

1<br />

2<br />

1.001 1.001<br />

1.005<br />

1.013<br />

0.997<br />

1.001<br />

1.001<br />

1.005<br />

0.993 1.005<br />

0.989<br />

0.997<br />

0.997 1.009<br />

0.993<br />

1.001 0.993<br />

1.001<br />

0.993<br />

1.013<br />

1.005<br />

1.001<br />

1.005<br />

1.001<br />

0.997 1.005<br />

1.017 1.005<br />

0.997<br />

1.009<br />

1.001<br />

-2 -1 0 1 2<br />

Y (mm)<br />

0<br />

1<br />

2<br />

Wavelength (µm)<br />

0.985 0.995 1.005 1.015<br />

Fig. 2. Spectral power responsivity of two pyroelectric<br />

detectors. The individual points with error bars are values<br />

obtained with laser sources at 1.32 µm and 10.6 µm.<br />

Fig. 4. Spatial non-uniformity of responsivity of one of the<br />

paint coated pyroelectric detectors at 10.6 µm.<br />

60<br />

50<br />

40<br />

30<br />

20<br />

curve fit<br />

y = m1*sqrt(1+(M0/m4)^ 2)/sq...<br />

Value Error<br />

m1 51.909 0.10293<br />

m2 16.382 2.4324<br />

m3 109.48 0.74746<br />

m4 15.814 2.3317<br />

Chisq 0.30304 NA<br />

R 0.99988 NA<br />

10 100<br />

Frequency [Hz]<br />

References<br />

[1] Eppeldauer G. P., Rice J. P., Zhang J., and Lykke K. R.,<br />

Spectral irradiance responsivity measurements between 1 µm<br />

and 5 µm, SPIE Proc. Vol. 5543, pp. 248-257, 2004.<br />

[2] Larason T. C., Bruce S. S., and Parr A. C., Spectroradiometric<br />

Detector Measurements, Part II – Visible to Near-Infrared<br />

Detectors, NIST Special Publication 250-41, February, 1998,<br />

U.S. Government Printing Office, Washington, DC.<br />

[3] Lehman J., Eppeldauer G., Aust J. A., and Racz M.,<br />

Domain-engineered pyroelectric radiometer, Applied<br />

Optics, Vol. 38, No. 34, p. 7047-7055, 1999.<br />

[4] Gentile T. R., Houston J. M., Eppeldauer G., Migdall A. L.,<br />

and Cromer C. L., Calibration of a pyroelectric detector at<br />

10.6 µm with the NIST High-Accuracy Cryogenic Radiometer,<br />

Applied Optics, 36, p. 3614-3621, 1997.<br />

Fig. 3. Frequency dependent responsivity of a pyroelectric<br />

detector at a signal (current) gain of 10 10 V/A.<br />

The spatial non-uniformity of responsivity was measured<br />

at 10.6 µm. The results in Figure 4 show that the<br />

commercial device has a roughly 1 % spatial variation of<br />

336

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