Improvements in birefringent filters. 6: Analog birefringent elements

A. M. Title; H. E. Ramsey

doi:10.1364/AO.19.002046

Applied Optics
Vol. 19,
Issue 12,
pp. 2046-2058
(1980)
•https://doi.org/10.1364/AO.19.002046

Improvements in birefringent filters. 6: Analog birefringent elements

A. M. Title and H. E. Ramsey

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A. M. Title and H. E. Ramsey, "Improvements in birefringent filters. 6: Analog birefringent elements," Appl. Opt. 19, 2046-2058 (1980)

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Abstract

A 100-mÅ analog birefringent element has been built from a polarizing wide field solid Michelson interferometer. The analog element behaves on-axis identically to a crystal element but has the field characteristics of a wide field Michelson. It is demonstrated that by proper choice of glasses for the arms of the Michelson the wide field condition can hold over a large spectral and large temperature range. Most important, proper choice of arm materials allows minimization of the wavelength sensitivity to temperature. A reduction of a factor of 10²–10³ compared to birefringent crystals can be achieved.

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MATERIAL	INDEX	$\frac{1}{n} \frac{dn}{d λ} \times 10^{6}$	$\frac{1}{n} \frac{dn}{dT} \times 10^{6}$	$\frac{1}{d} \frac{\partial d}{\partial T} \times 10^{6}$	C_i × 10⁶
LiF	1.39	1.79	−11.4	37.0	49.6
CaF₂	1.43	1.87	−6.3	24.0	36.6
SiO₂	1.48	2.81	6.85	5.0	25.3
FK5	1.488	0.4	−1.48	9.2	17.1
BK7	1.518	2.96	1.72	7.1	18.2
LF8	1.564	4.84	0.70	8.5	22.5
LF1	1.573	5.02	0.76	8.5	22.92
LF5	1.581	5.28	0.82	9.1	24.8
F4	1.617	6.10	1.60	8.3	25.9
F7	1.625	6.34	0.25	9.8	26.5
Ae₂O₃	1.77	3.07	7.40	5.8	41.2
LAF21	1.788	5.46	1.96	5.9	25.1
LAK17	1.788	5.12	1.46	5.9	23.5
LASF12	1.836	6.13	2.18	6.0	27.6
LASF9	1.850	8.37	- 1.48	9.2	31.8
LASF13	1.855	7.38	4.38	6.2	36.4
SF58	1.918	13.01	5.83	9.0	54.6

MATERIAL	INDEX	C_i × 10⁶	n^#	$\frac{\partial λ}{\partial T} (A ° / C °)$	λ_R(Å)			T_R(°K)

					1	10	100	1	10	100	d₁₀₀(cm)

						λ_R			T_R
SF58	1.918	54.6	.911	−.06	50	157	498	9.3	30	93	.861
LiF	1.39	49.6
LASF13	1.855	36.4	.753	−.0038	82	258	816	17	54	172	1.050
CaF₂	1.43	36.2
LAK17	1.788	23.5	.405	−.016	2.2×10³	7×10³	2.2×10⁴	67	210	670	1.949
LF9	1.573	22.9
LASF12	1.836	27.6	.398	−.032	7×10³	2.2×10⁴	7×10⁴	37	115	365	1.987
F7	1.625	26.5
LAF21	1.788	25.1	.372	−.010	1.1×10³	3.5×10³	1.1×10⁴	46	146	463	2.126
LF5	1.581	24.8
LASF9	1.850	31.8	.656	−.260	70	210	670	80	250	800	1.266
FK5	1.488	17.1
LASF9	1.850	31.8	1.31	.038	130	310	1300	41	130	410	.604
AIR	1.0	36.0

MATERIAL	INDEX	$\frac{1}{n} \frac{dn}{d λ} \times 10^{6}$	$\frac{1}{n} \frac{dn}{dT} \times 10^{6}$	$\frac{1}{d} \frac{\partial d}{\partial T} \times 10^{6}$	C_i × 10⁶
LiF	1.39	1.79	−11.4	37.0	49.6
CaF₂	1.43	1.87	−6.3	24.0	36.6
SiO₂	1.48	2.81	6.85	5.0	25.3
FK5	1.488	0.4	−1.48	9.2	17.1
BK7	1.518	2.96	1.72	7.1	18.2
LF8	1.564	4.84	0.70	8.5	22.5
LF1	1.573	5.02	0.76	8.5	22.92
LF5	1.581	5.28	0.82	9.1	24.8
F4	1.617	6.10	1.60	8.3	25.9
F7	1.625	6.34	0.25	9.8	26.5
Ae₂O₃	1.77	3.07	7.40	5.8	41.2
LAF21	1.788	5.46	1.96	5.9	25.1
LAK17	1.788	5.12	1.46	5.9	23.5
LASF12	1.836	6.13	2.18	6.0	27.6
LASF9	1.850	8.37	- 1.48	9.2	31.8
LASF13	1.855	7.38	4.38	6.2	36.4
SF58	1.918	13.01	5.83	9.0	54.6

MATERIAL	INDEX	C_i × 10⁶	n^#	$\frac{\partial λ}{\partial T} (A ° / C °)$	λ_R(Å)			T_R(°K)

					1	10	100	1	10	100	d₁₀₀(cm)

						λ_R			T_R
SF58	1.918	54.6	.911	−.06	50	157	498	9.3	30	93	.861
LiF	1.39	49.6
LASF13	1.855	36.4	.753	−.0038	82	258	816	17	54	172	1.050
CaF₂	1.43	36.2
LAK17	1.788	23.5	.405	−.016	2.2×10³	7×10³	2.2×10⁴	67	210	670	1.949
LF9	1.573	22.9
LASF12	1.836	27.6	.398	−.032	7×10³	2.2×10⁴	7×10⁴	37	115	365	1.987
F7	1.625	26.5
LAF21	1.788	25.1	.372	−.010	1.1×10³	3.5×10³	1.1×10⁴	46	146	463	2.126
LF5	1.581	24.8
LASF9	1.850	31.8	.656	−.260	70	210	670	80	250	800	1.266
FK5	1.488	17.1
LASF9	1.850	31.8	1.31	.038	130	310	1300	41	130	410	.604
AIR	1.0	36.0

Abstract

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Tables (2)

Equations (64)

Applied Optics