Refraction and Dispersion of Synthetic Sapphire

Irving H. Malitson

doi:10.1364/JOSA.52.001377

Journal of the Optical Society of America
Vol. 52,
Issue 12,
pp. 1377-1379
(1962)
•https://doi.org/10.1364/JOSA.52.001377

Refraction and Dispersion of Synthetic Sapphire

Irving H. Malitson

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Irving H. Malitson, "Refraction and Dispersion of Synthetic Sapphire," J. Opt. Soc. Am. 52, 1377-1379 (1962)

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Abstract

The refractive indices of synthetic sapphire (Al₂O₃) were measured at selected wavelengths and the values of index range from 1.834 at 0.265 μ in the ultraviolet to 1.586 at 5.58 μ in the infrared. A three-term Sellmeier dispersion equation of the form

n^{2} - 1 = \sum_{i} \frac{A_{i} λ^{2}}{λ^{2} - {λ_{t}}^{2}}

was fitted to the experimental data. Dispersive quantities were computed which estimate the optical performance to be expected from sapphire.

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λ₁=0.06144821	λ₁²=0.00377588	A₁=1.023798
λ₂=0.1106997	λ₂²=0.0122544	A₂=1.058264
λ₃=17.92656	λ₃²=321.3616	A₃=5.280792

Wavelength (μ)	Spectral source	Observed index	Computed index	n₀−n_c×10⁵
0.26520	Hg	1.83360	1.83365	−5
0.28035	Hg	1.82427	1.82426	+1
0.28936	Hg	1.81949	1.81947	+2
0.29673	Hg	1.81595	1.81593	+2
0.30215	Hg	1.81351	1.81351	0
0.3130	Hg	1.80906	1.80909	−3
0.33415	Hg	1.80184	1.80181	+3
0.34662	Cd	1.79815	1.79820	−5
0.361051	Cd	1.79450	1.79451	−1
0.365015	Hg	1.79358	1.79358	0
0.39064	Hg	1.78826	1.78828	−2
0.404656	Hg	1.78582	1.78582	0
0.435834	Hg	1.78120	1.78120	0
0.546071	Hg	1.77078	1.77077	+1
0.576960	Hg	1.76884	1.76884	0
0.579066	Hg	1.76871	1.76871	0
0.64385	Cd	1.76547	1.76547	0
0.706519	He	1.76303	1.76303	0
0.85212	Cs	1.75885	1.75887	−2
0.89440	Cs	1.75796	1.75790	+6
1.01398	Hg	1.75547	1.75546	−1
1.12866	Hg	1.75339	1.75339	0
1.36728	Hg	1.74936	1.74935	+1
1.39506	Hg	1.74888	1.74888	0
1.52952	Hg	1.74660	1.74659	+1
1.6932	Hg	1.74368	1.74368	0
1.70913	Hg	1.74340	1.74339	+1
1.81307	Hg	1.74144	1.74144	0
1.9701	Hg	1.73833	1.73835	−2
2.1526	TCB^a	1.73444	1.73449	−5
2.24929	Hg	1.73231	1.73232	−1
2.32542	Hg	1.73057	1.73055	+2
2.4374	TCB^a	1.72783	1.72784	−1
3.2439	Poly^b	1.70437	1.70433	+3
3.2668	Poly^b	1.70356	1.70354	+2
3.3026	Poly^b	1.70231	1.70231	0
3.3303	Poly^b	1.70140	1.70136	+4
3.422	Poly^b	1.69818	1.69814	+4
3.5070	Poly^b	1.69504	1.69501	+3
3.7067	TCB^a	1.68746	1.68743	+3
4.2553	H₂O	1.66371	1.66363	+8
4.954	H₂O	1.62665	1.62669	−4
5.1456	H₂O	1.61514	1.61510	+4
5.349	H₂O	1.60202	1.60204	−2
5.419	H₂O	1.59735	1.59736	−1
5.577	H₂O	1.58638	1.58642	−4

λ	n	λ	n
0.270	1.83047	0.890	1.75800
0.290	1.81915	0.910	1.75756
0.310	1.81026	0.930	1.75713
0.330	1.80312	0.950	1.75672
0.350	1.79729	0.970	1.75632
0.370	1.79245	0.990	1.75592
0.390	1.78840	1.00	1.75554
0.410	1.78495	1.20	1.75216
0.430	1.78199	1.40	1.74880
0.450	1.77942	1.60	1.74535
0.470	1.77719	1.80	1.74169
0.490	1.77522	2.00	1.73773
0.510	1.77347	2.20	1.73344
0.530	1.77191	2.40	1.72876
0.550	1.77051	2.60	1.72368
0.570	1.76925	2.80	1.71818
0.590	1.76810	3.00	1.71224
0.610	1.76705	3.20	1.70584
0.630	1.76609	3.40	1.69896
0.650	1.76521	3.60	1.69158
0.670	1.76439	3.80	1.68368
0.690	1.76362	4.00	1.67524
0.710	1.76291	4.20	1.66623
0.730	1.76224	4.40	1.65662
0.750	1.76162	4.60	1.64640
0.770	1.76102	4.80	1.63553
0.790	1.76046	5.00	1.62397
0.810	1.75992	5.20	1.61168
0.830	1.75941	5.40	1.59864
0.850	1.75892	5.60	1.58479
0.870	1.75845

λ₁=0.06144821	λ₁²=0.00377588	A₁=1.023798
λ₂=0.1106997	λ₂²=0.0122544	A₂=1.058264
λ₃=17.92656	λ₃²=321.3616	A₃=5.280792

Wavelength (μ)	Spectral source	Observed index	Computed index	n₀−n_c×10⁵
0.26520	Hg	1.83360	1.83365	−5
0.28035	Hg	1.82427	1.82426	+1
0.28936	Hg	1.81949	1.81947	+2
0.29673	Hg	1.81595	1.81593	+2
0.30215	Hg	1.81351	1.81351	0
0.3130	Hg	1.80906	1.80909	−3
0.33415	Hg	1.80184	1.80181	+3
0.34662	Cd	1.79815	1.79820	−5
0.361051	Cd	1.79450	1.79451	−1
0.365015	Hg	1.79358	1.79358	0
0.39064	Hg	1.78826	1.78828	−2
0.404656	Hg	1.78582	1.78582	0
0.435834	Hg	1.78120	1.78120	0
0.546071	Hg	1.77078	1.77077	+1
0.576960	Hg	1.76884	1.76884	0
0.579066	Hg	1.76871	1.76871	0
0.64385	Cd	1.76547	1.76547	0
0.706519	He	1.76303	1.76303	0
0.85212	Cs	1.75885	1.75887	−2
0.89440	Cs	1.75796	1.75790	+6
1.01398	Hg	1.75547	1.75546	−1
1.12866	Hg	1.75339	1.75339	0
1.36728	Hg	1.74936	1.74935	+1
1.39506	Hg	1.74888	1.74888	0
1.52952	Hg	1.74660	1.74659	+1
1.6932	Hg	1.74368	1.74368	0
1.70913	Hg	1.74340	1.74339	+1
1.81307	Hg	1.74144	1.74144	0
1.9701	Hg	1.73833	1.73835	−2
2.1526	TCB^a	1.73444	1.73449	−5
2.24929	Hg	1.73231	1.73232	−1
2.32542	Hg	1.73057	1.73055	+2
2.4374	TCB^a	1.72783	1.72784	−1
3.2439	Poly^b	1.70437	1.70433	+3
3.2668	Poly^b	1.70356	1.70354	+2
3.3026	Poly^b	1.70231	1.70231	0
3.3303	Poly^b	1.70140	1.70136	+4
3.422	Poly^b	1.69818	1.69814	+4
3.5070	Poly^b	1.69504	1.69501	+3
3.7067	TCB^a	1.68746	1.68743	+3
4.2553	H₂O	1.66371	1.66363	+8
4.954	H₂O	1.62665	1.62669	−4
5.1456	H₂O	1.61514	1.61510	+4
5.349	H₂O	1.60202	1.60204	−2
5.419	H₂O	1.59735	1.59736	−1
5.577	H₂O	1.58638	1.58642	−4

Abstract

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Tables (3)

Equations (3)

Journal of the Optical Society of America