Amplitude hologram efficiencies with arbitrary modulation depth, based upon a realistic photographic film model*

C. T. Chang; J. L. Bjorkstam

doi:10.1364/JOSA.67.001160

Journal of the Optical Society of America
Vol. 67,
Issue 9,
pp. 1160-1164
(1977)
•https://doi.org/10.1364/JOSA.67.001160

Amplitude hologram efficiencies with arbitrary modulation depth, based upon a realistic photographic film model

C. T. Chang and J. L. Bjorkstam

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C. T. Chang and J. L. Bjorkstam, "Amplitude hologram efficiencies with arbitrary modulation depth, based upon a realistic photographic film model*," J. Opt. Soc. Am. 67, 1160-1164 (1977)

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Abstract

Efficiencies for both thick- and thin-amplitude holograms of arbitrary modulation depth are theoretically investigated. A photographic film model, which includes both threshold detection and saturation effects, predicts a higher maximum efficiency than that given by the usual linear theory. The predictions are in better agreement with available experimental results.

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	Thin transmission hologram	Thick transmission hologram	Thick reflection hologram
The threshold and saturation model	8. 61%	7. 74%	12. 03%
Kogelnik’s linear model	6. 25%	3. 7%	7. 2%
Bendall et.al. exp. result.	6. 4 ± 0. 2%	5. 8 ± 0. 2%

		m = 0. 2	m =0. 4	m = 0. 6	m = 0. 8	m = 1. 0
Thick-amplitude hologram of reflection type	η_max	1. 06%	3. 82%	7. 12%	10. 11%	12. 03%
	${\bar{N}}_{1 m}$	2. 22	2. 4	2. 6	2. 4	2. 4
	$Δ {\bar{N}}_{1}$	2. 4	2. 58	3. 04	3. 76	4. 4
Thin-amplitude hologram	η_2max	0. 97%	3. 29%	5. 86%	7. 68%	8. 61%
	${\bar{N}}_{2 m}$	1. 6	1. 6	1. 8	1. 8	1. 8
	$Δ {\bar{N}}_{2}$	1. 04	1. 26	1. 88	2. 66	5. 1
Thick amplitude hologram of transmission type	η_max	0. 79%	2. 76%	4. 96%	6. 62%	7. 74%
	${\bar{N}}_{3 m}$	2. 0	2. 0	2. 0	2. 0	1. 8
	$Δ {\bar{N}}_{3}$	1. 40	1. 5	1. 63	1. 8	1. 88

	Thin transmission hologram	Thick transmission hologram	Thick reflection hologram
The threshold and saturation model	8. 61%	7. 74%	12. 03%
Kogelnik’s linear model	6. 25%	3. 7%	7. 2%
Bendall et.al. exp. result.	6. 4 ± 0. 2%	5. 8 ± 0. 2%

		m = 0. 2	m =0. 4	m = 0. 6	m = 0. 8	m = 1. 0
Thick-amplitude hologram of reflection type	η_max	1. 06%	3. 82%	7. 12%	10. 11%	12. 03%
	${\bar{N}}_{1 m}$	2. 22	2. 4	2. 6	2. 4	2. 4
	$Δ {\bar{N}}_{1}$	2. 4	2. 58	3. 04	3. 76	4. 4
Thin-amplitude hologram	η_2max	0. 97%	3. 29%	5. 86%	7. 68%	8. 61%
	${\bar{N}}_{2 m}$	1. 6	1. 6	1. 8	1. 8	1. 8
	$Δ {\bar{N}}_{2}$	1. 04	1. 26	1. 88	2. 66	5. 1
Thick amplitude hologram of transmission type	η_max	0. 79%	2. 76%	4. 96%	6. 62%	7. 74%
	${\bar{N}}_{3 m}$	2. 0	2. 0	2. 0	2. 0	1. 8
	$Δ {\bar{N}}_{3}$	1. 40	1. 5	1. 63	1. 8	1. 88

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Journal of the Optical Society of America