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1.8 Elastooptic Properties

1.8.1 Elastooptic Coefficients

The following tables of elastooptic coefficients (photoelastic constants) are from the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12–180. Materials are listed alphabetically by chemical composition. Data have been measured at room temperature, except for rare gas crystals.

Cubic Crystals; Point Groups 43m, 432, m3m

			Elastooptic coefficients
	Wavelength
Material	(m)	p11	p12	p44	p11–p12	Ref.
C (diamond)	0.540–0.589	–0.278	0.123	–0.161	–0.385	13
CaF2	0.55–0.65	0.038	0.226	0.0254	–0.183	11
CdTe	1.06	–0.152	–0.017	–0.057	–0.135	10
CuBr	0.633	0.072	0.195	–0.083	–0.123	12
CuCl	0.633	0.120	0.250	–0.082	–0.130	12
CuI	0.633	0.032	0.151	–0.068	–0.119	12
GaAs	1.15	–0.165	–0.140	–0.072	–0.025	15
GaP	0.633	–0.151	–0.082	–0.074	–0.069	15
Gd3Ga5O12	0.514	–0.086	–0.027	–0.078	–0.059	23
Ge	3.39	–0.151	–0.128	–0.072	–0.023	14
KBr	0.589	0.212	0.165	–0.022	0.047	5
KCl	0.633	0.22	0.16	–0.025	0.06	4
KF	0.546	0.26	0.20	–0.029	0.06	1
KI	0.590	0.212	0.171	—	0.041	6
LiCl	0.589	—	—	–0.0177	–0.0407	3
LiF	0.589	0.02	0.13	–0.045	–0.11	5
NaBr	0.589	0.148	0.184	–0.0036	–0.035	1
NaCl	0.589	0.115	0.159	–0.011	–0.042	2
NaF	0.633	0.08	0.20	–0.03	–0.12	1
NaI	0.589	—	—	0.0048	–0.0141	3
NH4Cl	0.589	0.142	0.245	0.042	–0.103	9
RbBr	0.589	0.293	0.185	–0.034	0.108	7,8
RbCl	0.589	0.288	0.172	–0.041	0.116	7,8
RbI	0.589	0.262	0.167	–0.023	0.095	7,8
SrF2	0.633	0.080	0.269	0.0185	–0.189	16
SrTiO3	0.633	0.15	0.095	0.072	—	17
Tl(Br,Cl)	0.633	–0.451	–0.337	–0.164	–0.114	19,20
Tl(Br,I)	0.633	–0.140	0.149	–0.0725	–0.289	18,20
Y3Al5O12	0.633	–0.029	0.0091	–0.0615	–0.038	15
Y3Fe5O12	1.15	0.025	0.073	0.041	—	15
Y3Ga5O12	0.633	0.091	0.019	0.079	—	17
ZnS	0.633	0.091	–0.01	0.075	0.101	15

Cubic Crystals; Point Groups 23, m3

			Elastooptic coefficients
	Wavelength
Material	(µm)	p11	p12	p44	p13	Ref.
Ba(NO3)2	0.589	—	p11–p22 =	–0.0205	p11–p13 =	13
			0.992		0.713
NaBrO3	0.589	0.185	0.218	–0.0139	0.213	26
NaClO3	0.589	0.162	0.24	–0.0198	0.20	26
Pb(NO3)2	0.589	0.162	0.24	–0.0198	0.20	24,25
Sr(NO3)2	0.41	0.178	0.362	–0.014	0.316	27

Trigonal Crystals; Point Groups 3m, 32, –3m

			Elastooptic coefficients
	Wavelength
Material	(µm)	p11	p12	p13	p14	P31
Ag3AsS3	0.633	±0.10	±0.19	±0.22		±0.24
Al2O3	0.644	–0.23	–0.03	0.02	0.00	–0.04
CaCO3	0.514	0.062	0.147	0.186	–0.011	0.241
HgS	0.633			±0.445
LiNbO3	0.633	±0.034	±0.072	±0.139	±0.066	±0.178
LiTaO3	0.633	–0.081	0.081	0.093	–0.026	0.089
NaNO3	0.633		±0.21	±0.215	±0.027	±0.25
SiO2	0.589	0.16	0.27	0.27	–0.030	0.29
Te	10.6	0.155	0.130	—	—	—

Trigonal Crystals; Point Groups 3m, 32, 3m —continued

		Elastooptic coefficients
	Wavelength
Material	(µm)	P33	P41	P44	Ref.
Ag3AsS3	0.633	±0.20	—	—	38
Al2O3	0.644	–0.20	0.01	–0.10	15,32
CaCO3	0.514	0.139	–0.036	–0.058	33
α–HgS	0.633	±0.115	—	—	36
LiNbO3	0.633	±0.060	±0.154	±0.300	15,34
LiTaO3	0.633	–0.044	–0.085	0.028	15,35
NaNO3	0.633		0.055	–0.06	39
α–SiO2	0.589	0.10	–0.047	–0.079	37
Te	10.6	—	—	—	15

Tetragonal Crystals; Point Groups 4/mmm, –42m, 422

			Elastooptic coefficients
	Wavelength
Material	( m)	p11	p12	p13	P31
(NH4)H2PO4	0.589	0.319	0.277	0.169	0.197
BaTiO3	0.633	0.425	—	—	—
CsH2AsO4	0.633	0.267	0.225	0.200	0.195
MgF2	0.546	—	—	—	—
Hg2Cl2	0.633	±0.551	±0.440	±0.256	±0.137
KH2PO4	0.589	0.287	0.282	0.174	0.241
RbH2AsO4	0.633	0.227	0.239	0.200	0.205
RDP	0.633	0.273	0.240	0.218	0.210
Sr0.75Ba0.25Nb2O6	0.633	0.16	0.10	0.08	0.11
Sr0.5Ba0.5Nb2O6	0.633	0.06	0.08	0.17	0.09
TeO2	0.633	0.0074	0.187	0.340	0.090
TiO2 (rutile)	0.633	0.017	0.143	–0.139	–0.080

Tetragonal Crystals; Point Groups 4/mmm, –42m, 422—continued

		Elastooptic coefficients
	Wavelength
Material	( m)	p33	p44	p66	Ref.
(NH4)H2PO4	0.589	0.167	–0.058	–0.091	40
BaTiO3	0.633	—	—	—	41
CsH2AsO4	0.633	0.227	—	—	42
MgF2	0.546	—	±0.0776	±0.0488	43
Hg2Cl2	0.633	–0.010	—	±0.047	44
KH2PO4	0.589	0.122	–0.019	–0.064	45
RbH2AsO4	0.633	0.182	—	—	41
RDP	0.633	0.208	—	—	41
Sr0.75Ba0.25Nb2O6	0.633	0.47	—	—	46
Sr0.5Ba0.5Nb2O6	0.633	0.23	—	—	46
TeO2	0.633	0.240	–0.17	–0.046	47
TiO2 (rutile)	0.633	–0.057	–0.009	–0.060	48

Tetragonal Crystals; Point Groups 4, –4, 4/m

			Elastooptic coefficients
	Wavelength
Material	( m)	p11	p12	p13	P16	P31
CdMoO4	0.633	0.12	0.10	0.13	—	0.11
PbMoO4	0.633	0.24	0.24	0.255	0.017	0.175
NaBi(MoO4)2	0.633	0.243	0.205	0.25	—	0.21

Tetragonal Crystals; Point Groups 4, –4, 4/m—continued

			Elastooptic coefficients
	Wavelength
Material	( m)	p33	p44	p45	p61	p66	Ref.
CdMoO4	0.633	0.18	—	—	—	—	49
PbMoO4	0.633	0.300	0.067	–0.01	0.013	0.05	52
NaBi(MoO4)2	0.633	0.29	—	—	—	—	—

Hexagonal Crystals; Point Groups mmc, 6mm

				Elastooptic coefficients
	Wavelength
Material	( m)	p11	p12	p13	p31	p33	p44	Ref.
Be3Al2Si6O18	0.589	0.0099	0.175	0.191	0.313	0.023	–0.152	28
CdS	0.633	–0.142	–0.066	–0.057	–0.041	–0.20	–0.099	2,15
ZnO	0.633	±0.222	±0.099	–0.111	±0.088	–0.235	0.0585	30
ZnS	0.633	–0.115	0.017	0.025	0.0271	–0.13	–0.0627	31

Orthorhombic Crystals; Point Groups 222, m22, mmm

				Elastooptic coefficients
	Wavelength
Material	( m)	p11	p12	p13	p21	p22	p23
Al2SiO4	—	–0.085	0.069	0.052	0.095	–0.120	0.065
(OH,F)2
BaSO4	0.589	0.21	0.25	0.16	0.34	0.24	0.19
HIO3	0.633	0.302	0.496	0.339	0.263	0.412	0.304
NaKC4H4O6	0.589	0.35	0.41	0.42	0.37	0.28	0.34
NH4ClO4	0.633	—	0.24	0.18	0.23	—	0.20
(NH4)2SO4	0.633	0.26	0.19	±0.260	±0.230	±0.27	±0.254

Orthorhombic Crystals; Point Groups 222, m22, mmm —continued

			Elastooptic coefficients
Material	p31	p32	p33	p44	p55	p66	Ref.
Al2SiO4(OH,F)2	0.095	0.085	–0.083	–0.095	–0.031	0.098	28
BaSO4	0.28	0.22	0.31	0.002	–0.012	0.037	55
HIO3	0.251	0.345	0.336	0.084	–0.030	0.098	54
NaKC4H4O6	0.36	0.35	0.36	–0.030	0.0046	–0.025	53
NH4ClO4	0.19	0.18	±0.02	<±0.02	—	±0.04	51
(NH4)2SO4	0.20	±0.26	0.26	0.015	±0.0015	0.012	52

Rare Gas Crystals

		Elastooptic coefficients
Rare Gas	p11	p12	p44	p11 – p12	Ref.
Ne (T = 24.3 K)	0.157	0.168	0.004	–0.011	59
Ar (T = 82.3 K)	0.256	0.302	0.015	–0.046	60
Kr (T = 115.6 K)	0.34	0.34	0.037	—	59
Xe (T = 160.5 K)	0.284	0.370	0.029	–0.086	60

Measured made at a wavelength of 488 nm.

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