Refractive index of cubic zirconia stabilized with yttria

D. L. Wood; K. Nassau

doi:10.1364/AO.21.002978

Applied Optics
Vol. 21,
Issue 16,
pp. 2978-2981
(1982)
•https://doi.org/10.1364/AO.21.002978

Refractive index of cubic zirconia stabilized with yttria

D. L. Wood and K. Nassau

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D. L. Wood and K. Nassau, "Refractive index of cubic zirconia stabilized with yttria," Appl. Opt. 21, 2978-2981 (1982)

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Abstract

The optical transmission and indices of refraction for the cubic isomorph of ZrO₂ stabilized with 12.0-mol % Y₂O₃ were measured at various temperatures and for a range of wavelengths from 0.36 to 5.1 μm. Index data to ±5 × 10⁻⁵ were fitted to a three-term Sellmeier equation. The value of N_D = 2.15847. The dispersion N_G − N_B = 0.06044, while that for N_C − N_F = 0.03455. The temperature coefficient of the refractive index between 20 and 130°C varies from 1.6 × 10⁻⁵/K for 0.36-μm radiation to 0.62 × 10⁻⁵/K for 1.6-μm radiation.

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Source	Wavelength μm	Measured Index	Calculated Index	Difference × 10⁵
Cd	0.361051	2.25364	2.253572	6.8
Hg	0.365015	2.24990	2.249876	2.4
Hg	0.365483	2.24947	2.249449	2.1
Hg	0.366308	2.24871	2.248703	0.7
He	0.388865	2.23052	2.230543	−2.3
Hg	0.404656	2.21986	2.219987	−12.7
Hg	0.435833	2.20290	2.203017	−11.7
He	0.447148	2.19783	2.197864	−3.4
Cd	0.467815	2.18956	2.189540	2.0
Cd	0.479991	2.18523	2.185199	3.1
He	0.492193	2.18120	2.181209	−0.9
He	0.501567	2.17835	2.178362	−1.2
Cd	0.508582	2.17639	2.176345	4.5
Hg	0.546073	2.16694	2.166973	−3.3
Hg	0.576959	2.16066	2.160687	−2.7
Hg	0.579066	2.16026	2.160297	−3.7
He	0.587566	2.15878	2.158769	1.1
Cs	0.601033	2.15649	2.156486	0.4
Cs	0.621287	2.15334	2.153340	0.0
Cd	0.643847	2.15026	2.150193	6.7
Cs	0.658651	2.14833	2.148305	2.5
Cs	0.662865	2.14781	2.147791	1.9
He	0.667815	2.14723	2.147200	3.0
Cs	0.672328	2.14669	2.146672	1.8
Cs	0.687045	2.14503	2.145024	0.6
Cs	0.697329	2.14394	2.143934	0.6
He	0.706518	2.14303	2.143000	3.0
Cs	0.722853	2.14144	2.141424	1.6
Cs	0.727995	2.14097	2.140950	2.0
He	0.728135	2.14098	2.140937	4.3
Cs	0.760901	2.13812	2.138132	−1.2
Cs	0.794411	2.13559	2.135599	−0.9
Cs	0.852110	2.13192	2.131872	4.8
Cs	0.894350	2.12959	2.129545	4.5
Cs	0.917224	2.12842	2.128400	2.0
Cs	1.002439	2.12476	2.124692	6.8
Cs	1.012360	2.12437	2.124308	6.2
Hg	1.013975	2.12425	2.124247	0.3
Cd	1.039460	2.12338	2.123301	7.9
He	1.083030	2.12184	2.121796	4.4
Hg	1.128660	2.12038	2.120349	3.1
CHCl₃	1.14800	2.11967	2.119769	−9.9
Hg	1.188900	2.11861	2.118600	1.0
Hg	1.197730	2.11817	2.118357	−18.7
Hg	1.357021	2.11439	2.114400	−1.0
Cs	1.35890	2.11435	2.114358	−0.8
Hg	1.367531	2.11421	2.114166	4.4
Hg	1.395055	2.11358	2.113547	3.3
CHCl₃	1.40800	2.11319	2.113262	−7.2
Cs	1.45950	2.11194	2.111944	−0.4
Hg	1.529582	2.11072	2.110703	1.7
CHCl₃	1.68800	2.10747	2.107568	−9.8
Hg	1.69272	2.10749	2.107476	1.4
Hg	1.71281	2.10716	2.107088	7.2
Filter	1.80000	2.10534	2.105415	−7.5
CHCl₃	1.8600	2.10425	2.104269	−1.9
Filter	1.9650	2.10219	2.102259	−6.9
He	2.05809	2.10047	2.100461	0.9
Filter	2.2280	2.09707	2.097109	−3.9
CHCl₃	2.3710	2.09419	2.094192	−0.2
Filter	2.3890	2.09381	2.093817	−0.7
Polystyrene	3.2700	2.07295	2.072886	6.4
Polystyrene	3.3000	2.07203	2.072072	−4.2
Polystyrene	3.4250	2.06869	2.068597	9.3
Polystryene	3.5050	2.066 33	2.066305	2.5
CO₂	4.2250	2.04282	2.043115	−29.5
CO₂	4.2710	2.04127	2.041470	−20.0
Benzene	5.0790	2.00916	2.009056	10.4
Benzene	5.1200	2.00732	2.007225	9.5
Polystyrene	5.1350	2.00664	2.006551	8.9

Constant	Value	Constant	Value
A₁	2.117788	L₁	0.166739
A₂	1.347091	L₂	0.062543
A₃	9.452943	L₃	24.320570

Source	Wavelength μm	Measured Index	Calculated Index	Difference × 10⁵
Cd	0.361051	2.25364	2.253572	6.8
Hg	0.365015	2.24990	2.249876	2.4
Hg	0.365483	2.24947	2.249449	2.1
Hg	0.366308	2.24871	2.248703	0.7
He	0.388865	2.23052	2.230543	−2.3
Hg	0.404656	2.21986	2.219987	−12.7
Hg	0.435833	2.20290	2.203017	−11.7
He	0.447148	2.19783	2.197864	−3.4
Cd	0.467815	2.18956	2.189540	2.0
Cd	0.479991	2.18523	2.185199	3.1
He	0.492193	2.18120	2.181209	−0.9
He	0.501567	2.17835	2.178362	−1.2
Cd	0.508582	2.17639	2.176345	4.5
Hg	0.546073	2.16694	2.166973	−3.3
Hg	0.576959	2.16066	2.160687	−2.7
Hg	0.579066	2.16026	2.160297	−3.7
He	0.587566	2.15878	2.158769	1.1
Cs	0.601033	2.15649	2.156486	0.4
Cs	0.621287	2.15334	2.153340	0.0
Cd	0.643847	2.15026	2.150193	6.7
Cs	0.658651	2.14833	2.148305	2.5
Cs	0.662865	2.14781	2.147791	1.9
He	0.667815	2.14723	2.147200	3.0
Cs	0.672328	2.14669	2.146672	1.8
Cs	0.687045	2.14503	2.145024	0.6
Cs	0.697329	2.14394	2.143934	0.6
He	0.706518	2.14303	2.143000	3.0
Cs	0.722853	2.14144	2.141424	1.6
Cs	0.727995	2.14097	2.140950	2.0
He	0.728135	2.14098	2.140937	4.3
Cs	0.760901	2.13812	2.138132	−1.2
Cs	0.794411	2.13559	2.135599	−0.9
Cs	0.852110	2.13192	2.131872	4.8
Cs	0.894350	2.12959	2.129545	4.5
Cs	0.917224	2.12842	2.128400	2.0
Cs	1.002439	2.12476	2.124692	6.8
Cs	1.012360	2.12437	2.124308	6.2
Hg	1.013975	2.12425	2.124247	0.3
Cd	1.039460	2.12338	2.123301	7.9
He	1.083030	2.12184	2.121796	4.4
Hg	1.128660	2.12038	2.120349	3.1
CHCl₃	1.14800	2.11967	2.119769	−9.9
Hg	1.188900	2.11861	2.118600	1.0
Hg	1.197730	2.11817	2.118357	−18.7
Hg	1.357021	2.11439	2.114400	−1.0
Cs	1.35890	2.11435	2.114358	−0.8
Hg	1.367531	2.11421	2.114166	4.4
Hg	1.395055	2.11358	2.113547	3.3
CHCl₃	1.40800	2.11319	2.113262	−7.2
Cs	1.45950	2.11194	2.111944	−0.4
Hg	1.529582	2.11072	2.110703	1.7
CHCl₃	1.68800	2.10747	2.107568	−9.8
Hg	1.69272	2.10749	2.107476	1.4
Hg	1.71281	2.10716	2.107088	7.2
Filter	1.80000	2.10534	2.105415	−7.5
CHCl₃	1.8600	2.10425	2.104269	−1.9
Filter	1.9650	2.10219	2.102259	−6.9
He	2.05809	2.10047	2.100461	0.9
Filter	2.2280	2.09707	2.097109	−3.9
CHCl₃	2.3710	2.09419	2.094192	−0.2
Filter	2.3890	2.09381	2.093817	−0.7
Polystyrene	3.2700	2.07295	2.072886	6.4
Polystyrene	3.3000	2.07203	2.072072	−4.2
Polystyrene	3.4250	2.06869	2.068597	9.3
Polystryene	3.5050	2.066 33	2.066305	2.5
CO₂	4.2250	2.04282	2.043115	−29.5
CO₂	4.2710	2.04127	2.041470	−20.0
Benzene	5.0790	2.00916	2.009056	10.4
Benzene	5.1200	2.00732	2.007225	9.5
Polystyrene	5.1350	2.00664	2.006551	8.9

Constant	Value	Constant	Value
A₁	2.117788	L₁	0.166739
A₂	1.347091	L₂	0.062543
A₃	9.452943	L₃	24.320570

Abstract

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Equations (2)

Applied Optics