Abstract

Because light sources and detectors exhibit significant spectral variations, the detector response in an optical system can generally be found only by means of a tedious numerical integration process. The evaluation of the MTF in polychromatic light requires an even more extensive numerical procedure. Here, integration results are presented for all combinations of six commonly used light sources and twelve common detectors. The MTF’s for perfect lenses and efficiency factors are presented.

© 1969 Optical Society of America

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References

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  1. F. H. Barr, E. H. Eberhardt, Appl. Opt. 6, 1575 (1967).
    [CrossRef] [PubMed]
  2. L. Levi, Illum. Eng. 55, 99 (1960).
  3. L. Levi, Applied Optics (John Wiley & Sons, Inc., New York, 1968).
  4. International Commission on Illumination, J. Opt. Soc. Amer. 41, 734 (1951).
  5. JEDEC Publication No. 50 (Electronic Industries Association, Washington, D.C., 1964).
  6. ASA Std. PH 2.5–1960 (American Standards Assoc., New York, 1960).

1967 (1)

1960 (1)

L. Levi, Illum. Eng. 55, 99 (1960).

1951 (1)

International Commission on Illumination, J. Opt. Soc. Amer. 41, 734 (1951).

Barr, F. H.

Eberhardt, E. H.

Levi, L.

L. Levi, Illum. Eng. 55, 99 (1960).

L. Levi, Applied Optics (John Wiley & Sons, Inc., New York, 1968).

Appl. Opt. (1)

Illum. Eng. (1)

L. Levi, Illum. Eng. 55, 99 (1960).

J. Opt. Soc. Amer. (1)

International Commission on Illumination, J. Opt. Soc. Amer. 41, 734 (1951).

Other (3)

JEDEC Publication No. 50 (Electronic Industries Association, Washington, D.C., 1964).

ASA Std. PH 2.5–1960 (American Standards Assoc., New York, 1960).

L. Levi, Applied Optics (John Wiley & Sons, Inc., New York, 1968).

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Tables (3)

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Table I Spectral Characteristics of Radiation Sources and Detectors

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Table II MTF of Source-Detector Combinations

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Table III System Efficiencies of Source–Detector Combinations

Equations (19)

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Δ e λ = e ( λ ) d λ ;
Δ v λ = e ( λ ) s v ( λ ) d λ ;
Δ s λ = e ( λ ) s ( λ ) τ ( λ ) d λ .
k s = Δ s λ / Δ e λ ,
R = τ ( λ ) S ( λ ) i λ ( λ ) d λ = i λ 0 τ 0 S 0 Δ s λ ,
i T = i λ d λ = i λ 0 e d λ = i λ 0 Δ e λ ;
i λ 0 = i T / Δ e λ .
R = i T S 0 τ 0 Δ s λ / Δ e λ , = i T S 0 τ 0 k s ,
i v T = K i λ 0 e s v d λ = K i λ 0 Δ v λ ,
i λ 0 = i v T / K Δ v λ ,
R = i v T S 0 τ 0 Δ s λ / K Δ v λ = i v T S 0 τ 0 k s / k v .
I = Φ e S 0 k s = Φ v S 0 k s / K k v ,
q = Q / Q 0 = E e S 0 t k s = E v S 0 t k s / K k v ,
S 0 ( 1 ) = [ 30 S x k v / k s ]             ( J / m 2 ) - 1 ,
K v = i v T / i T = K k v .
T ( y ) = ( 2 / π ) [ cos - 1 y - y ( 1 - y 2 ) 1 / 2 ] ,
T p ( ν 0 ) = τ ( λ ) e ( λ ) s ( λ ) T ( ν 0 λ ) d λ / τ ( λ ) e ( λ ) s ( λ ) d λ .
C = R R c k s / k v ( k s / k v ) c ,
S x = 0.8 / Q m ,

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