Spectral Purity for Far Infrared Grating Spectroscopy

E. D. Nelson; J. Y. Wong

doi:10.1364/AO.6.001259

Applied Optics
Vol. 6,
Issue 7,
pp. 1259-1266
(1967)
•https://doi.org/10.1364/AO.6.001259

Spectral Purity for Far Infrared Grating Spectroscopy

E. D. Nelson and J. Y. Wong

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E. D. Nelson and J. Y. Wong, "Spectral Purity for Far Infrared Grating Spectroscopy," Appl. Opt. 6, 1259-1266 (1967)

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Abstract

A far ir grating spectrometer of the Ebert type has been constructed to cover the range from 10 cm⁻¹ to 160 cm⁻¹. A technique for quantitatively measuring the spectral purity of this instrument is presented. Filter curves for the reflection filter gratings used with the spectrometer are given for radiations polarized parallel and perpendicular to the groove length. It is found that, with a 20° blaze angle and the plane of incidence of the radiation parallel to the groove length, polarization effects due to the filters are small. In fact, the filters are very efficient and possess sharp cutoff characteristics in both polarizations when used in this fashion. The measured spectral purity of the spectrometer is better than 95% throughout most of its operating range. This result is consistent with purity estimates from absorption experiments on water vapor lines in the region from 195 μ, to 300 μ. Experimental results pertaining to far ir solid-state physics research are also briefly discussed.

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Main grating	Blaze wavelength λ_B (μ)	Main grating space, D (in.)	Groove angle θ₁′ (deg)	Blaze angle θ₂′ (deg)	Operating^a range in λ (0.675–0.9 λ_B) (μ)	Pure radiation range in λ using 3 filters only (<0.75λ_B) (μ)	Filter grating space d (μ)	θ₁^b (deg)	θ₂^b (deg)	Normal Filter operating range in λ/d
1	99.5	0.0058	120	20	67–90	<75	63.5	20	70	~1.05–1.42
2	134	0.0084	120	18.5	90–120	<100	86	20	70	~1.05–1.42
3	179.5	0.0122	120	17	120–162	<135	114	20	70	~1.05–1.42
4	237	0.0176	120	15.5	162–213	<178	152	20	70	~1.05–1.42
5	316	0.0260	120	14	213–285	<238	200	20	70	~1.05–1.42
6	422	0.0388	120	12.5	285–380	<316	270	20	70	~1.05–1.42
7	562.5	0.0587	120	11	380–507	<422	358	20	70	~1.05–1.42
8	750	0.0860	120	10	507–675	<562	477	20	70	~1.05–1.42
9	1000	0.1270	120	9	675–900	<750	635	20	70	~1.05–1.42
10	1335	0.1910	120	8	900–1200	<1000	846	20	70	~1.05–1.42

Main grating blaze	λ₁ (μ)	λ₁/d	λ₂/d	λ₃/d	τ	τ₀	τ₁	P	p
99.5	83	1.307	0.653	0.436	0.85	0.89	<0.13	>0.94	>0.99
99.5	87	1.37	0.685	0.457	0.85	0.88	<0.20	>0.95	>0.98
99.5	92.6	1.456	0.728	0.485	0.83	0.885	<0.27	>0.91	>0.97
134	111	1.287	0.643	0.429	0.918	0.975	<0.14	>0.93	>0.98
134	117	1.356	0.678	0.452	0.897	0.975	<0.18	>0.90	>0.98
134	125	1.447	0.723	0.482	0.88	0.99	<0.27	>0.84	>0.95
179.5	147	1.285	0.642	0.428	0.957	0.98	<0.14	>0.97	>0.99
179.5	162	1.42	0.71	0.473	0.928	0.964	<0.27	>0.94	>0.98
179.5	167	1.46	0.73	0.487	0.929	0.966	<0.27	>0.94	>0.98
237	196	1.283	0.641	0.428	0.86	0.976	<0.14	>0.86	>0.97
237	206	1.35	0.675	0.45	0.844	0.97	<0.17	>0.84	>0.96
237	215	1.41	0.705	0.47	0.858	0.96	<0.27	>0.85	>0.95
237	221	1.447	0.723	0.482	0.83	0.96	<0.27	>0.81	>0.93
316.5	262	1.30	0.65	0.433	0.76	0.89	<0.13	>0.82	>0.97
316.5	275	1.37	0.685	0.457	0.73	0.866	<0.20	>0.79	>0.94
316.5	295	1.467	0.733	0.489	0.71	0.881	<0.27	>0.71	>0.89
422	336.8	1.25	0.625	0.417	0.93	1.00	<0.16	>0.91	>0.98
422	350	1.30	0.65	0.433	0.938	1.013	<0.13	>0.91	>0.98
422	367	1.36	0.68	0.453	0.892	1.01	<0.18	>0.85	>0.97
422	385	1.43	0.715	0.477	0.898	1.018	<0.27	>0.84	>0.95
422	393	1.46	0.73	0.487	0.878	1.018	<0.27	>0.81	>0.94
562.5	449.6	1.26	0.63	0.42	0.94	0.995	<0.15	>0.93	>0.99
562.5	472.2	1.32	0.66	0.44	0.94	0.995	<0.13	>0.93	>0.99
562.5	491.2	1.37	0.685	0.457	0.93	0.995	<0.20	>0.91	>0.98
562.5	505.8	1.41	0.705	0.47	0.92	0.995	<0.22	>0.90	>0.97
750	616.9	1.294	0.647	0.431	0.93	0.95	<0.13	>0.97	>0.99
750	644.5	1.354	0.677	0.451	0.92	0.96	<0.10	>0.95	>0.99
750	675	1.417	0.708	0.472	0.86	0.97	<0.20	>0.85	>0.96
1000	798.8	1.26	0.63	0.42	0.915	0.98	<0.16	>0.92	>0.98
1000	818.7	1.29	0.645	0.43	0.93	0.95	<0.13	>0.97	>0.99
1000	845.8	1.33	0.665	0.443	0.89	0.97	<0.14	>0.90	>0.98
1000	872.9	1.38	0.69	0.46	0.83	0.98	<0.22	>0.80	>0.94

Main grating	Blaze wavelength λ_B (μ)	Main grating space, D (in.)	Groove angle θ₁′ (deg)	Blaze angle θ₂′ (deg)	Operating^a range in λ (0.675–0.9 λ_B) (μ)	Pure radiation range in λ using 3 filters only (<0.75λ_B) (μ)	Filter grating space d (μ)	θ₁^b (deg)	θ₂^b (deg)	Normal Filter operating range in λ/d
1	99.5	0.0058	120	20	67–90	<75	63.5	20	70	~1.05–1.42
2	134	0.0084	120	18.5	90–120	<100	86	20	70	~1.05–1.42
3	179.5	0.0122	120	17	120–162	<135	114	20	70	~1.05–1.42
4	237	0.0176	120	15.5	162–213	<178	152	20	70	~1.05–1.42
5	316	0.0260	120	14	213–285	<238	200	20	70	~1.05–1.42
6	422	0.0388	120	12.5	285–380	<316	270	20	70	~1.05–1.42
7	562.5	0.0587	120	11	380–507	<422	358	20	70	~1.05–1.42
8	750	0.0860	120	10	507–675	<562	477	20	70	~1.05–1.42
9	1000	0.1270	120	9	675–900	<750	635	20	70	~1.05–1.42
10	1335	0.1910	120	8	900–1200	<1000	846	20	70	~1.05–1.42

Main grating blaze	λ₁ (μ)	λ₁/d	λ₂/d	λ₃/d	τ	τ₀	τ₁	P	p
99.5	83	1.307	0.653	0.436	0.85	0.89	<0.13	>0.94	>0.99
99.5	87	1.37	0.685	0.457	0.85	0.88	<0.20	>0.95	>0.98
99.5	92.6	1.456	0.728	0.485	0.83	0.885	<0.27	>0.91	>0.97
134	111	1.287	0.643	0.429	0.918	0.975	<0.14	>0.93	>0.98
134	117	1.356	0.678	0.452	0.897	0.975	<0.18	>0.90	>0.98
134	125	1.447	0.723	0.482	0.88	0.99	<0.27	>0.84	>0.95
179.5	147	1.285	0.642	0.428	0.957	0.98	<0.14	>0.97	>0.99
179.5	162	1.42	0.71	0.473	0.928	0.964	<0.27	>0.94	>0.98
179.5	167	1.46	0.73	0.487	0.929	0.966	<0.27	>0.94	>0.98
237	196	1.283	0.641	0.428	0.86	0.976	<0.14	>0.86	>0.97
237	206	1.35	0.675	0.45	0.844	0.97	<0.17	>0.84	>0.96
237	215	1.41	0.705	0.47	0.858	0.96	<0.27	>0.85	>0.95
237	221	1.447	0.723	0.482	0.83	0.96	<0.27	>0.81	>0.93
316.5	262	1.30	0.65	0.433	0.76	0.89	<0.13	>0.82	>0.97
316.5	275	1.37	0.685	0.457	0.73	0.866	<0.20	>0.79	>0.94
316.5	295	1.467	0.733	0.489	0.71	0.881	<0.27	>0.71	>0.89
422	336.8	1.25	0.625	0.417	0.93	1.00	<0.16	>0.91	>0.98
422	350	1.30	0.65	0.433	0.938	1.013	<0.13	>0.91	>0.98
422	367	1.36	0.68	0.453	0.892	1.01	<0.18	>0.85	>0.97
422	385	1.43	0.715	0.477	0.898	1.018	<0.27	>0.84	>0.95
422	393	1.46	0.73	0.487	0.878	1.018	<0.27	>0.81	>0.94
562.5	449.6	1.26	0.63	0.42	0.94	0.995	<0.15	>0.93	>0.99
562.5	472.2	1.32	0.66	0.44	0.94	0.995	<0.13	>0.93	>0.99
562.5	491.2	1.37	0.685	0.457	0.93	0.995	<0.20	>0.91	>0.98
562.5	505.8	1.41	0.705	0.47	0.92	0.995	<0.22	>0.90	>0.97
750	616.9	1.294	0.647	0.431	0.93	0.95	<0.13	>0.97	>0.99
750	644.5	1.354	0.677	0.451	0.92	0.96	<0.10	>0.95	>0.99
750	675	1.417	0.708	0.472	0.86	0.97	<0.20	>0.85	>0.96
1000	798.8	1.26	0.63	0.42	0.915	0.98	<0.16	>0.92	>0.98
1000	818.7	1.29	0.645	0.43	0.93	0.95	<0.13	>0.97	>0.99
1000	845.8	1.33	0.665	0.443	0.89	0.97	<0.14	>0.90	>0.98
1000	872.9	1.38	0.69	0.46	0.83	0.98	<0.22	>0.80	>0.94

Abstract

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Applied Optics