The Design and Preparation of Induced Transmission Filters

R. J. Holloway; P. H. Lissberger

doi:10.1364/AO.8.000653

Applied Optics
Vol. 8,
Issue 3,
pp. 653-660
(1969)
•https://doi.org/10.1364/AO.8.000653

The Design and Preparation of Induced Transmission Filters

R. J. Holloway and P. H. Lissberger

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R. J. Holloway and P. H. Lissberger, "The Design and Preparation of Induced Transmission Filters," Appl. Opt. 8, 653-660 (1969)

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Abstract

Induced transmission (IT) filters are compared with other types of narrow-band filters and their advantages outlined on the basis of a general expression for spectral transmittance. A method of design is described which avoids the use of admittance charts and can be applied to optimize the performance an IT system at various stages during its preparation. Finally, methods of monitoring are discussed of with emphasis on the theory of a technique particularly useful for IT filters for the ir.

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Design parameters	Silver thickness (Å)	Maximum potential transmittance	Thickness of first non-quarter-wave layer (quarter-waves)	T (d_M = 0) Transmittance of dielectric quarter-wave stack	T Transmittance after first non-quarter-wave layer	T_A Transmittance after silver layer	Monitoring wavelength of first non-quarter-wave layer (μ)
λ₀ = 0.5460 μ	650	0.774	0.6354	0.464	0.137	0.106
n = 0.075	655	0.770	0.6348	0.458	0.135	0.103
k = 3.41	660	0.765	0.6342	0.453	0.133	0.102
μ_M = 2.35	665	0.760	0.6336	0.447	0.131	0.0999
	670	0.756	0.6331	0.442	0.129	0.0978
	675	0.752	0.6325	0.437	0.127	0.0958

	680	0.747	0.6320	0.431	0.126	0.0939
	500	0.695	0.9086	0.230	0.0494	0.0343	1.928
λ₀ = 2.000 μ	505	0.688	0.9082	0.227	0.0487	0.0335	1.928
n = 0.67	510	0.681	0.9078	0.225	0.0481	0.0328	1.928
k = 13.9	515	0.675	0.9074	0.222	0.0475	0.0320	1.927
μ_M = 2.29	520	0.668	0.9071	0.219	0.0468	0.0313	1.927
μ_H = 2.29	525	0.661	0.9067	0.217	0.0462	0.0305	1.927
μ_L = 1.423	530	0.654	0.9064	0.214	0.0456	0.0298	1.927

Filter	Transmittance (%)	Wavelength (μ)	Effective refractive index	Half-width (μ)
1	38.5	2.025	1.82 ± 0.01	0.077
2	71	2.008	1.88 ± 0.05	0.058
3	92	1.916	1.78 ± 0.02	0.164
4	28	1.998	2.0 ± 0.2	0.025
5	69	1.956	1.84 ± 0.03	0.061
6	73	2.003	1.9 ± 0.3	0.038
7	61	1.970	1.80 ± 0.03	0.057
8	82	1.935	1.79 ± 0.04	0.069
9	70	2.008	1.87 ± 0.06	0.053
10	75	1.995	1.89 ± 0.05	0.048
11	70	2.008	1.89 ± 0.04	0.045
12	73	1.987	1.81 ± 0.01	0.052

Theoretical filter d = 515 Å	67.5	2.000	1.814	0.051

Design parameters	Silver thickness (Å)	Maximum potential transmittance	Thickness of first non-quarter-wave layer (quarter-waves)	T (d_M = 0) Transmittance of dielectric quarter-wave stack	T Transmittance after first non-quarter-wave layer	T_A Transmittance after silver layer	Monitoring wavelength of first non-quarter-wave layer (μ)
λ₀ = 0.5460 μ	650	0.774	0.6354	0.464	0.137	0.106
n = 0.075	655	0.770	0.6348	0.458	0.135	0.103
k = 3.41	660	0.765	0.6342	0.453	0.133	0.102
μ_M = 2.35	665	0.760	0.6336	0.447	0.131	0.0999
	670	0.756	0.6331	0.442	0.129	0.0978
	675	0.752	0.6325	0.437	0.127	0.0958

	680	0.747	0.6320	0.431	0.126	0.0939
	500	0.695	0.9086	0.230	0.0494	0.0343	1.928
λ₀ = 2.000 μ	505	0.688	0.9082	0.227	0.0487	0.0335	1.928
n = 0.67	510	0.681	0.9078	0.225	0.0481	0.0328	1.928
k = 13.9	515	0.675	0.9074	0.222	0.0475	0.0320	1.927
μ_M = 2.29	520	0.668	0.9071	0.219	0.0468	0.0313	1.927
μ_H = 2.29	525	0.661	0.9067	0.217	0.0462	0.0305	1.927
μ_L = 1.423	530	0.654	0.9064	0.214	0.0456	0.0298	1.927

Filter	Transmittance (%)	Wavelength (μ)	Effective refractive index	Half-width (μ)
1	38.5	2.025	1.82 ± 0.01	0.077
2	71	2.008	1.88 ± 0.05	0.058
3	92	1.916	1.78 ± 0.02	0.164
4	28	1.998	2.0 ± 0.2	0.025
5	69	1.956	1.84 ± 0.03	0.061
6	73	2.003	1.9 ± 0.3	0.038
7	61	1.970	1.80 ± 0.03	0.057
8	82	1.935	1.79 ± 0.04	0.069
9	70	2.008	1.87 ± 0.06	0.053
10	75	1.995	1.89 ± 0.05	0.048
11	70	2.008	1.89 ± 0.04	0.045
12	73	1.987	1.81 ± 0.01	0.052

Theoretical filter d = 515 Å	67.5	2.000	1.814	0.051

Abstract

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Tables (2)

Equations (37)

Applied Optics