Abstract

This paper corrects a definitional error in the previous paper on this topic and reports a considerably better dielectric material for this type of detector (i.e., dln∊/dT values as large as 30% K−1 in the range 0.3 to 10 K). Computed responsivity (times the square root of the detector area) based on this material varies from 6 × 106 to 2 × 104 V · W−1 · cm for reservoir temperatures between 0.3 and 10 K. The corresponding variation of the detectivity is from 2 × 1014 to 1 × 1011 cm · W−1 · Hz1/2.

© 1974 Optical Society of America

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Corrections

W. N. Lawless, Ray Radebaugh, and J. D. Siegwarth, "Erratum: Improvements on ‘Low-temperature dielectric bolometer’," J. Opt. Soc. Am. 64, 1730_1-1730 (1974)
https://www.osapublishing.org/josa/abstract.cfm?uri=josa-64-12-1730_1

References

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  1. W. N. Lawless, J. Opt. Soc. Am. 62, 1449 (1972).
    [Crossref]
  2. W. N. Lawless, Rev. Sci. Instr. 42, 561 (1971); W. N. Lawless, R. Radebaugh, and R. J. Soulen, Rev. Sci. Instr. 42, 567 (1971).
    [Crossref]
  3. Note that the capacitance C in Eq. (3) does not depend on the detector area but rather on the arrangement of the electrodes on that area.
  4. See Refs. 2 for the experimental methods for these measurements.
  5. R. C. Zeller and R. O. Pohl, Phys. Rev. B 4, 2029 (1971).
    [Crossref]
  6. These three refinements were ignored in arriving at x*. The reason for discussing x* was to arrive at the high-temperature restriction on T0; at the higher temperature, the refinements are not important.
  7. Strictly speaking, α was assumed temperature independent between T0 and TB, in solving the heat-balance differential equation (Ref. 1). The maximization scheme here involves α at TB, which has the effect of slightly overestimating (≲ 1%) rA12 below 1 K and underestimating rA12 above 1 K.
  8. The corresponding Eq. (2) in Ref. 1 contains errors, in that the resistance R is missing from the first term and the bandwidth Δfc should be deleted from all three terms.
  9. L. G. Rubin and W. N. Lawless, Rev. Sci. Instr. 42, 571 (1971).
    [Crossref]

1972 (1)

1971 (3)

W. N. Lawless, Rev. Sci. Instr. 42, 561 (1971); W. N. Lawless, R. Radebaugh, and R. J. Soulen, Rev. Sci. Instr. 42, 567 (1971).
[Crossref]

R. C. Zeller and R. O. Pohl, Phys. Rev. B 4, 2029 (1971).
[Crossref]

L. G. Rubin and W. N. Lawless, Rev. Sci. Instr. 42, 571 (1971).
[Crossref]

Lawless, W. N.

W. N. Lawless, J. Opt. Soc. Am. 62, 1449 (1972).
[Crossref]

L. G. Rubin and W. N. Lawless, Rev. Sci. Instr. 42, 571 (1971).
[Crossref]

W. N. Lawless, Rev. Sci. Instr. 42, 561 (1971); W. N. Lawless, R. Radebaugh, and R. J. Soulen, Rev. Sci. Instr. 42, 567 (1971).
[Crossref]

Pohl, R. O.

R. C. Zeller and R. O. Pohl, Phys. Rev. B 4, 2029 (1971).
[Crossref]

Rubin, L. G.

L. G. Rubin and W. N. Lawless, Rev. Sci. Instr. 42, 571 (1971).
[Crossref]

Zeller, R. C.

R. C. Zeller and R. O. Pohl, Phys. Rev. B 4, 2029 (1971).
[Crossref]

J. Opt. Soc. Am. (1)

Phys. Rev. B (1)

R. C. Zeller and R. O. Pohl, Phys. Rev. B 4, 2029 (1971).
[Crossref]

Rev. Sci. Instr. (2)

W. N. Lawless, Rev. Sci. Instr. 42, 561 (1971); W. N. Lawless, R. Radebaugh, and R. J. Soulen, Rev. Sci. Instr. 42, 567 (1971).
[Crossref]

L. G. Rubin and W. N. Lawless, Rev. Sci. Instr. 42, 571 (1971).
[Crossref]

Other (5)

Note that the capacitance C in Eq. (3) does not depend on the detector area but rather on the arrangement of the electrodes on that area.

See Refs. 2 for the experimental methods for these measurements.

These three refinements were ignored in arriving at x*. The reason for discussing x* was to arrive at the high-temperature restriction on T0; at the higher temperature, the refinements are not important.

Strictly speaking, α was assumed temperature independent between T0 and TB, in solving the heat-balance differential equation (Ref. 1). The maximization scheme here involves α at TB, which has the effect of slightly overestimating (≲ 1%) rA12 below 1 K and underestimating rA12 above 1 K.

The corresponding Eq. (2) in Ref. 1 contains errors, in that the resistance R is missing from the first term and the bandwidth Δfc should be deleted from all three terms.

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Figures (2)

Fig. 1
Fig. 1

Temperature dependence of d ln/dT and d ln tanδ/dT for a titanate-tantalate glass-ceramic between 0.15 and 10 K. The dielectric constant and loss tangent at 1 K and 5 kHz are 176 and 0.048, respectively.

Fig. 2
Fig. 2

Computed maximum values of responsivity (times the square root of the detector area) and detectivity as functions of the reservoir temperature, T0, for the dielectric material whose derivative properties are given in Fig. 1. For a given T0, the responsivity and detectivity are both very nearly maximized by the same value of the drive-current amplitude (see text).

Tables (1)

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Table I Proximity of maximum values of responsivity and detectivity.a

Equations (9)

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α = - d ln / d T + d ln tan δ / d T
r I e τ ( d ln / d T ) / ω C C ( 1 + ω c 2 τ 2 ) 1 2 ,
T B = T 0 ( 1 + x ) ,
r A 1 2 = e ( d ln / d T ) × [ τ x T 0 / ω C tan δ C V ( T B ) ( 1 - α x T 0 ) ( 1 + ω c 2 τ 2 ) d ] 1 2 ,
x * = [ 1 ± ( 1 - 3 α T 0 ) 1 2 ] / 3 α T 0 ,
C V ( T ) 1.0 × 10 - 6 T + 3.0 × 10 - 6 T 3 ( J · cm - 3 · K - 1 ) .
C = C 0 [ 1 + ( d ln / d T ) x ] , tan δ = tan δ 0 [ 1 + ( d ln tan δ / d T ) x ] ,
( NEP ) 2 / A = 4 k R T B / A r 2 + 4 k T B 2 G / A + 8 e σ k T B 5 ,
D * = A 1 2 / NEP ;