Thin film optical coatings. 6: Design method for two given wavelength antireflection coatings

Jacques Mouchart

doi:10.1364/AO.17.001458

Applied Optics
Vol. 17,
Issue 9,
pp. 1458-1465
(1978)
•https://doi.org/10.1364/AO.17.001458

Thin film optical coatings. 6: Design method for two given wavelength antireflection coatings

Jacques Mouchart

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Jacques Mouchart, "Thin film optical coatings. 6: Design method for two given wavelength antireflection coatings," Appl. Opt. 17, 1458-1465 (1978)

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Abstract

This paper considers the relations between thin film indices for making an antireflection coating when all optical thicknesses are equal. In this way, it is possible to determine antireflection coatings for two given wavelengths. Various cases are studied according to the two wavelengths and the index of the substrate.

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Type	1:1	1:3	1:2:1	1:3:1
n₁	1.374	1.6225	1.380	1.380
n₂	2.490	2.807	1.756	2.121
n₃	—	—	2.392	2.904
d²R/dλ²	0.207	2.073	1.945	0.349

Type	1:1	1:3	1:1:1	1:1:2	1:2:1	1:3:1
n₁	1.431	1.725	1.380	1.380	1.380	1.380
n₂	2.796	3.196	2.611	2.724	1.671	2.174
n₃	—	—	3.855	4.179	2.563	3.193
d²R/dλ²	0.273	2.723	0.175	0.107	2.546	0.267

Type	1:1	1:1:1	1:1:2	1:1:3	1:3:1	3:1:1	2:2:2
n₁	1.438	1.380	1.380	1.380	1.380	1.380	1.380
n₂	2.378	2.246	2.502	2.312	1.847	1.630	1.849
n₃	—	3.281	3.824	3.181	2.541	2.861	2.515
d²R/dλ²	0.816	0.532	0.605	0.893	2.704	5.012	9.512

Type	1:1	1:1:1	1:1:2	1:1:3	1:3:1	3:1:1	2:2:2
n₁	1.508	1.380	1.380	1.380	1.380	1.380	1.380
n₂	2.653	2.348	3.009	2.500	2.006	1.705	2.004
n₃	—	3.659	5.176	3.420	2.743	3.187	2.704
d²R/dλ²	1.072	0.448	1.755	1.814	3.613	5.177	12.605

Type	1:1	2:2	2:3	3:2	1:1:1	2:2:2
n₁	1.665	1.383	1.793	1.400	1.380	1.380
n₂	2.054	2.472	2.443	1.908	1.898	2.460
n₃	—	—	—	—	2.827	3.410
d²R/dλ²	1.755	0.575	7.918	7.918	0.751	0.553

Type	1:1	2:2	2:3	3:2	1:1:1	2:2:2
n₁	1.780	1.442	1.932	1.467	1.380	1.380
n₂	2.247	2.774	2.727	2.070	2.024	2.562
n₃	—	—	—	—	3.088	3.825
d²R/dλ²	2.305	0.756	10.404	10.404	0.912	0.446

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Equations (16)

Applied Optics