Refractive indexes and temperature coefficients of germanium and silicon

H. W. Icenogle; Ben C. Platt; William L. Wolfe

doi:10.1364/AO.15.002348

Refractive indexes and temperature coefficients of germanium and silicon

H. W. Icenogle, Ben C. Platt, and William L. Wolfe

Applied Optics
Vol. 15,
Issue 10,
pp. 2348-2351
(1976)
•https://doi.org/10.1364/AO.15.002348

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H. W. Icenogle, Ben C. Platt, and William L. Wolfe, "Refractive indexes and temperature coefficients of germanium and silicon," Appl. Opt. 15, 2348-2351 (1976)

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- Original Manuscript: January 14, 1976
- Published: October 1, 1976

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Abstract

The refractive indexes and their variations with temperature for silicon and germanium have been measured over the 95–298-K and 2.5–12-μm ranges. Data are given for the refractive index that are in reasonable agreement with those of previous investigators. For dn/dT the values are independent of wavelength and are approximately 1.5 × 10⁻⁴ (K)⁻¹ and 4.0 × 10⁻⁴ (K)⁻¹ for silicon and germanium, respectively.

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λ(μm)	297 K	275 K	204 K	94 K
2.554	4.06230	4.05659	4.02528	3.98859
2.652	4.05754	4.05201	4.01955	3.98462
2.732	4.05310	4.04725	4.01511	3.98052
2.856	4.04947	4.04338	4.01139	3.97720
2.958	4.04595	4.03957	4.00796	3.97390
3.090	4.04292	4.03649	4.00485	3.97100
4.120	4.02457	4.01732	3.98662	3.95334
5.190	4.01617	4.00853	3.97820	3.94536
8.230	4.00743	3.99933	3.96934	3.93720
10.270	4.00571	3.99729	3.96745	3.93597
12.360	4.00627	3.99607	3.96625	3.94026

λ = 2.554 μm		λ = 2.732 μm		λ = 4.414 μm		λ = 10.27 μm

Index	Temp K	Index	Temp K	Index	Temp K	Index	Temp K
4.00541	150	3.98111	101	3.95198	101	3.93562	95
4.00775	158	3.98237	110	3.95220	107	3.93692	104
4.00997	165	3.98419	117	3.95407	114	3.93909	112
4.01248	172	3.98508	120	3.95579	121	3.94088	120
4.01479	177	3.98728	127	3.95798	129	3.94335	124
4.01753	186	3.98888	133	3.96026	137	3.94501	134
4.02031	192	3.99107	140	3.96295	145	3.94639	140
4.02305	199	3.99331	146	3.96463	150	3.94898	147
4.02492	203	3.99534	152	3.96678	156	3.95075	153
4.02712	208	3.99774	158	3.96806	165	3.95295	160
4.02900	212	4.00026	165	3.97126	169	3.95497	166
4.03039	216	4.00277	171	3.97422	177	3.95754	173
4.03287	221	4.00565	178	3.97922	185	3.96090	183
4.03601	227	4.00938	186	3.98276	195	3.96390	192
4.03721	231	4.01293	196	3.98493	202	3.96808	204
4.03893	236	4.01582	203	3.98699	211	3.97028	210
4.04096	240	4.01918	212	3.98967	218	3.97296	217
4.04209	243	4.02229	221	3.99240	224	3.97587	226
4.04407	247	4.02516	229	3.99591	232	3.86896	234
4.04641	254	4.02893	236	3.99920	240	3.98113	239
4.04832	257	4.03202	244	4.00305	249	3.98387	246
4.04994	261	4.03554	252	4.00655	259	3.98633	253
4.05181	266	4.03767	257	4.00848	263	3.98923	260
4.05284	269	4.03937	262	4.01095	269	3.99203	268
4.05429	272	4.04257	270	4.01236	274	3.99458	274
4.05655	277	4.04562	276	4.01435	278	3.99634	278
4.05836	281	4.04833	283	4.01635	283	3.9985	284

λ(μm)	dn/dT (°C)⁻¹ (Rank)	dn/dT (°C)⁻¹ (Authors)
1.934	5.919 × 10⁻⁴	—
2.174	5.285	—
2.246	5.251	—
2.401	5.037	—
2.554–12.1	—	~3.96 × 10⁻⁴

λ(μm)	296 K	275 K	202 K	104 K
2.554	3.43681	3.43472	3.42184	3.41172
2.652	3.43529	3.43264	3.42006	3.40896
2.732	3.43367	3.43097	3.41843	3.40754
2.856	3.43224	3.42971	3.41776	3.40611
2.958	3.43102	3.42836	3.41587	3.40475
3.090	3.42987	3.42723	3.41483	3.40365
4.120	3.42304	3.42642	3.40800	3.39695
5.190	3.41974	3.41649	3.40496	3.39388
8.230	3.41629	3.41314	3.40169	3.39064
10.270	3.41551	3.41226	3.40084	3.38989

λ = 2.554 μm		λ = 2.732 μm		λ = 5.190 μm		λ = 10.27 μm

Index	Temp K	Index	Temp K	Index	Temp K	Index	Temp K
3.41279	103	3.40857	97	3.39330	99	3.39109	99
3.41302	110	3.40923	106	3.39388	106	3.39185	108
3.41374	120	3.40999	116	3.39441	114	3.39273	114
3.41471	131	3.41084	126	3.39497	120	3.39313	124
3.41534	137	3.41234	133	3.39554	127	3.39374	131
3.41616	144	3.41256	143	3.39608	133	3.39484	142
3.41695	152	3.41317	150	3.39679	140	3.39555	148
3.41789	160	3.41429	159	3.39757	147	3.39629	155
3.41868	167	3.41502	165	3.39838	155	3.39693	161
3.41967	175	3.41551	169	3.39898	160	3.39796	170
3.42074	182	3.41656	177	3.39981	167	3.39884	177
3.42158	189	3.41723	182	3.40037	171	3.39973	185
3.42216	193	3.41833	190	3.40144	180	3.40099	194
3.42303	200	3.41825	197	3.40213	186	3.40229	204
3.42375	205	3.42006	203	3.40288	192	3.40307	210
3.42448	210	3.42118	211	3.40382	199	3.40389	216
3.42603	220	3.42197	217	3.40455	205	3.40516	223
3.42668	224	3.42265	222	3.40574	213	3.40572	230
3.42730	228	3.42422	234	3.40657	219	3.40667	236
3.42836	235	3.42523	241	3.40760	227	3.40752	242
3.42961	244	3.42600	245	3.40843	233	3.40838	248
3.43081	251	3.42682	251	3.40931	239	3.40905	253
3.43181	255	3.42762	255	3.41013	243	3.41021	260
3.41889	261	3.42863	262	3.41104	250	3.41088	281
3.43331	267	3.42949	267	3.41280	262	3.41186	271
3.43430	274	3.43037	272	3.41380	268	3.41270	276
3.43492	277	3.43112	277	3.41449	273	3.41337	280
3.43576	282	3.43182	282	3.41529	279	3.41380	283
3.43633	286	3.48251	286	3.41621	285	3.41427	287

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