Revised broadband-filter method for spectral responsivity measurements

Amedeo Premoli; Maria Luisa Rastello

doi:10.1364/AO.22.003988

Applied Optics
Vol. 22,
Issue 24,
pp. 3988-3994
(1983)
•https://doi.org/10.1364/AO.22.003988

Revised broadband-filter method for spectral responsivity measurements

Amedeo Premoli and Maria Luisa Rastello

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Amedeo Premoli and Maria Luisa Rastello, "Revised broadband-filter method for spectral responsivity measurements," Appl. Opt. 22, 3988-3994 (1983)

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Abstract

This paper revises the broadband-filter method originally proposed by Wyszecki to evaluate the relative spectral responsivity of photodetectors. The new mathematical procedure consists of representing the responsivity curve by a spline function to reduce the number of free parameters and to preserve the approximation accuracy. Consequently, performance of the calculated spectral responsivity vs experimental errors turns out to be satisfactory. Extended simulated examples show the capabilities of this new approach.

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n = 17	λ_a λ_b = 360 – 800 nm			λ_a λ_b = 340 – 820 nm			λ_a λ_b = 290 – 870 nm

	β = 30 nm, a = 1.26			β = 50 nm, a = 2.11			β = 100 nm, a = 4.21

m	ϱ_min	ξ_e	ξ₀	ϱ_min	ξ_e	ξ₀	ϱ_min	ξ_e	ξ₀

5	3.28	0.56	4.01	2.47	0.58	3.88	1.03	0.69	3.86
6	1.79	0.62	2.31	0.89	0.66	1.81	0.08	0.92	2.06
7	1.06	0.69	1.43	0.36	0.75	1.04	0.10	1.29	2.21
8	0.38	0.75	0.60	0.10	0.85	0.78	0.04	2.05	2.26
9	0.12	0.82	0.39	0.19	0.99	0.97	0.03	4.42	1.82
10	0.18	0.91	0.57	0.10	1.23	0.90	.005	10.6	1.00
11	0.15	0.96	0.53	0.06	1.45	0.80	.007	23.9	1.19
12	0.10	1.10	0.51	.016	2.07	0.36	meaningless
13	0.10	1.17	0.50	.003	3.06	0.20	meaningless

m = 8, λ_a λ_b = 340 – 820 nm, β = 50 nm

n	a	ϱ_min	ξ_e	ξ₀

8	0.92	0.0	1.38	0.790
9	1.05	0.015	1.21	0.796
11	1.32	0.023	1.05	0.79
13	1.58	0.04	0.96	0.79
17	2.11	0.10	0.85	0.78
21	2.63	0.12	0.78	0.76
25	3.16	0.13	0.73	0.75

λ_a λ_b = 340 – 820 nm, β = 50 nm

n = m	a	ξ_e	ξ₀

8	0.92	1.38	0.79
10	1.18	3.17	1.26
13	1.58	8.60	0.22
17	2.11	77.6	0.38
21	2.63	158.	0.19

n = 17	λ_a λ_b = 360 – 800 nm			λ_a λ_b = 340 – 820 nm			λ_a λ_b = 290 – 870 nm

	β = 30 nm, a = 1.26			β = 50 nm, a = 2.11			β = 100 nm, a = 4.21

m	ϱ_min	ξ_e	ξ₀	ϱ_min	ξ_e	ξ₀	ϱ_min	ξ_e	ξ₀

5	3.28	0.56	4.01	2.47	0.58	3.88	1.03	0.69	3.86
6	1.79	0.62	2.31	0.89	0.66	1.81	0.08	0.92	2.06
7	1.06	0.69	1.43	0.36	0.75	1.04	0.10	1.29	2.21
8	0.38	0.75	0.60	0.10	0.85	0.78	0.04	2.05	2.26
9	0.12	0.82	0.39	0.19	0.99	0.97	0.03	4.42	1.82
10	0.18	0.91	0.57	0.10	1.23	0.90	.005	10.6	1.00
11	0.15	0.96	0.53	0.06	1.45	0.80	.007	23.9	1.19
12	0.10	1.10	0.51	.016	2.07	0.36	meaningless
13	0.10	1.17	0.50	.003	3.06	0.20	meaningless

m = 8, λ_a λ_b = 340 – 820 nm, β = 50 nm

n	a	ϱ_min	ξ_e	ξ₀

8	0.92	0.0	1.38	0.790
9	1.05	0.015	1.21	0.796
11	1.32	0.023	1.05	0.79
13	1.58	0.04	0.96	0.79
17	2.11	0.10	0.85	0.78
21	2.63	0.12	0.78	0.76
25	3.16	0.13	0.73	0.75

Abstract

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Equations (51)

Applied Optics