Section 1: Crystalline Materials 77 BaB 2 O 4 n o 2 = 2.7405 + 0.0184/(λ 2 − 0.0179) − 0.0155λ 2 n e 2 = 2.3730 + 0.0128/(λ 2 − 0.0156) − 0.0044λ 2 0.22–1.06 15 BaF 2 n o 2 = 1 + 0.643356λ 2 /[λ 2 − (0.057789) 2 ] + 0.506762λ 2 /[λ 2 − (0.10968) 2 ] + 3.8261 2 /[λ 2 − (14.3864) 2 ] 0.27–10.3 16 BaTiO 3 n o 2 = 1 + 4.187λ 2 /[λ 2 − (0.223) 2 ] n e 2 = 1 + 4.064λ 2 /[λ 2 − 0.211) 2 ] 0.4–0.7 17 BaMgF 4 n x 2 = 2.1462 + 0.00736λ 2 /(λ 2 –0.0090) n y 2 = 2.007 + 0.0076λ 2 /(λ 2 –0.00799) n z 2 = 2.1238 + 0.0086λ 2 /(λ 2 –0) 0.53–1.06 18 Ba 2 NaNb 5 O 12 n x 2 = 1 + 3.6008λ 2 /(λ 2 –0.032199) n y 2 = 1 + 3.9495λ 2 /(λ 2 –0.040140) n z 2 = 1 + 3.9495λ 2 /(λ 2 –0.040389) 0.46–1.06 19, 20 BeO n o 2 = 1 + 1.92274λ 2 /[λ 2 − (0.07908) 2 ] + 1.24209λ 2 /[λ 2 − (9.7131) 2 ] n e 2 = 1 + 1.96939λ 2 /[λ 2 − (08590) 2 ] + 1.67389λ 2 /[λ 2 − (10.4797) 2 ] 0.44–7.0 38, 50 BiB 3 O 6 n x 2 = 3.6545 + 0.0511λ 2 /(λ 2 − 0.0371) − 0.0226λ 2 n y 2 = 3.0740 + 0.03233λ 2 /(λ 2 − 0.0316) − 0.01337λ 2 n z 2 = 3.1685 + 00373λ 2 /(λ 2 − 0.0346) − 0.01750λ 2 117 Bi 4 Ge 3 O 12 n 2 = 1 + 3.08959λ 2 /(λ 2 –0.01337) 0.48–1.06 21 Bi 12 GeO 20 n 2 = 1 + 4.601λ 2 /[λ 2 − (0.242) 2 ] 0.48–0.7 22, 32 Bi 12 SiO 20 n 2 = 2.72777 + 3.01705λ 2 /[λ 2 − (0.266) 2 ] 0.4–0.7 23 BP n 2 = 1 + 6.841λ 2 /[λ 2 − (0.267) 2 ] 0.48–0.7 24 C (diamond) n 2 = 1 + 4.3356λ 2 /[λ 2 − (0.1.60) 2 ] + 0.3306λ 2 /[λ 2 − (0.1750) 2 ] 0.225–∞ 29 © 2003 by CRC Press LLC 78 Handbook of Optical Materials Dispersion Formulas for Refractive Indices—continued Material Dispersion formula (wavelength λ in µm) Range (µm) Ref. Ca 2 Al 2 SiO 7 n o 2 = 1 + 1.712/( λ 2 –0.0196) n e 2 = 1 + 1.687/( λ 2 − 0.01133) 0.31–1.06 26 Ca 5 (PO 4 ) 3 Fn o 2 = 2.626769 + 0.014626/( λ 2 − 0.012833) − 0.007653λ 2 n e 2 = 2.620175 + 0.014703/( λ 2 − 0.011037) − 0.007544λ 2 0.4–1.0 27 CaCO 3 n o = 1 + 0.8559λ 2 /[λ 2 − (0.0588) 2 ] + 0.83913λ 2 /[λ 2 − (0.141) 2 ] + 0.0009λ 2 /[λ 2 − (0.197) 2 ] + 0.6845λ 2 /[λ 2 − (7.005) 2 ] n e = 1 + 1.0856λ 2 /[λ 2 − ( 0.07897) 2 ] + 0.0988λ 2 /[λ 2 − (0.142) 2 ] + 0.317λ 2 /[λ 2 − (1.468) 2 ] 0.2–2.2 28 CaF 2 n 2 = 1 + 0.5675888λ 2 /[λ 2 − ( 0.050263605) 2 ] + 0.4710914λ 2 /[λ 2 − (0.1003909) 2 ] + 3.8484723λ 2 /[λ 2 − (34.649040) 2 ] 0.23–9.7 45 CaMoO 4 n o 2 = 1 + 2.7840λ 2 /[λ 2 –(0.1483) 2 ] + 1.2425λ 2 /[λ 2 − (11.576) 2 ] n e 2 = 1 + 2.8045λ 2 /[λ 2 − (0.1542) 2 ] + 1.0055λ 2 /[λ 2 − (10.522) 2 ] 0.45–3.8 30, 50 CaWO 4 n o 2 = 1 + 2.5493λ 2 /[λ 2 − (0.1347) 2 ] + 0.9200λ 2 /[λ 2 − (10.815) 2 ] n e 2 = 1 + 2.6041λ 2 /[λ 2 − (0.11379) 2 ] + 4.1237λ 2 /[λ 2 − (21.371) 2 ] 0.45– 4.0 30, 50 CdGeAs 2 n o 2 = 10.1064 + 2.2988λ 2 /(λ 2 − 1.0872) + 1.6247λ 2 /(λ 2 − 1370) n e 2 = 11.8018 + 1.2152λ 2 /(λ 2 − 2.6971) + 1.6922λ 2 /(λ 2 − 1370) 2.4–11.5 8 CdGeP 2 n o 2 = 5.9677 + 4.2286λ 2 /(λ 2 –0.2021) + 1.6351λ 2 /(λ 2 –671.33) n e 2 = 61573 + 4.0970λ 2 /(λ 2 –0.2330) + 1.4925λ 2 /(λ 2 –671.33) 5.5–12.5 31 CdS n o 2 = 1 + 3.96582820λ 2 /[λ 2 − (0.23622804) 2 ] + 0.18113874λ 2 /[λ 2 − (0.48285199) 2 ] n e 2 = 1 + 3.97478769λ 2 /[λ 2 − ( 0.22426984) 2 ] + 0.26680809λ 2 /[λ 2 − (0.46693785) 2 ] +0.00074077λ 2 /[λ 2 − (0.50915139) 2 ] 0.51–1.4 93 CdSe n o 2 = 4.2243 + 1.7680λ 2 /(λ 2 − 0.2270) + 3.1200λ 2 /(λ 2 − 3380) n e 2 = 4.2009 + 1.8875λ 2 /(λ 2 − 0.2171) + 3.6461λ 2 /(λ 2 − 3629) 1–12 8 © 2003 by CRC Press LLC Section 1: Crystalline Materials 79 CdTe n 2 = 1 + 6.1977889λ 2 /[λ 2 − (0.317069) 2 ] + 3.22438216λ 2 /[λ 2 − (72.0663) 2 ] 6–22 33 CsB 3 O 5 n x 2 = 2.2916 + 0.02105λ 2 /(λ 2 − 0.06525)–0.000031848λ 2 n y 2 = 3.34498 + 1.04863λ 2 /(λ 2 − 0.22044) − 0.01483λ 2 n z 2 = 3.53666 + 1.10600λ 2 /(λ 2 − 0.24988]) − 0.01711λ 2 0.35–1.06 117 CsBr n 2 = 1 + 0.9533786λ 2 /[λ 2 − (0.0905643) 2 ] + 0.8303809λ 2 /[λ 2 − (0.1671517) 2 ] + 2.847172λ 2 /[λ 2 − (119.0155) 2 ] 0.36–39 34 CsCl n 2 = 1.33013 + 0.98369λ 2 /[λ 2 − (0.119) 2 ] + 0.00009λ 2 /[λ 2 − (0.137) 2 ] + 0.00018λ 2 /[λ 2 − (145) 2 ] + 0.30914λ 2 /[λ 2 − (0.162) 2 ] + 4.320λ 2 /[λ 2 − (100.50) 2 ] 0.18–40 35 CsD 2 AsO 4 n o 2 = 1 + 1.40840λ 2 /(λ 2 –0.01299) n e 2 = 1 + 1.34731λ 2 /(λ 2 –0.01185) 0.35–1.06 36 CsH 2 AsO 4 n o 2 = 1 + 1.39961λ 2 /(λ 2 –0.01156) n e 2 = 1 + 1.34417λ 2 /(λ 2 –0.01155) 0.35–1.06 36 CsI n 2 = 1 + 0.34617251λ 2 /[λ 2 − (0.0229567) 2 ] + 1.0080886λ 2 /[λ 2 − (0.1466) 2 ] + 0.28551800λ 2 /[λ 2 − (0.1830) 2 ] + 0.39743178λ 2 /[λ 2 − (0.2120) 2 ] + 3.3605359λ 2 /[λ 2 − (161.0) 2 ] 0.29–50 37 CsLiB 6 O 10 n o 2 = 2.2049 + 0.0110259/(λ 2 –0.0118119)–0.0000695625λ 2 n e 2 = 2.05936 + 0.00864948/(λ 2 –0.0128929) − 0.0000267532λ 2 n o 2 = 2.14318 + 0.0158749/(λ 2 + 1.37559)–0.00062375λ 2 n e 2 = 2.04195 + 0.0273245/(λ 2 + 0.286672) − 0.000342718λ 2 0.24–0.63 0.63–1.06 118 CsTiOAsO 4 n x 2 = 3.74440 + 0.70733λ 2 /(λ 2 − 0.26033) − 0.01526λ 2 n y 2 = 3.34498 + 1.04863λ 2 /(λ 2 − 0.22044) − 0.01483λ 2 n z 2 = 3.53666 + 1.10600λ 2 /(λ 2 − 0.24988) − 0.01711λ 2 0.45–1.55 91 CuCl n 2 = 3.580 + 0.03162λ 2 /(λ 2 − 0.1642) + 0.09288/λ 2 0.43–2.5 25 CuGaS 2 n o 2 = 3.9064 + 2.3065λ 2 /(λ 2 − 0.1149) + 1.5479λ 2 /(λ 2 − 738.43) n e 2 = 4.3165 + 1.8692λ 2 /(λ 2 − 0.1364) + 1.7575λ 2 /(λ 2 − 738.43) 0.55–11.5 39, 116 © 2003 by CRC Press LLC 80 Handbook of Optical Materials Dispersion Formulas for Refractive Indices—continued Material Dispersion formula (wavelength λ in µm) Range (µm) Ref. CuGaS 2 n o 2 = 3.9064 + 2.3065λ 2 /(λ 2 − 0.1149) + 1.5479λ 2 /(λ 2 − 738.43) n e 2 = 4.3165 + 1.8692λ 2 /(λ 2 − 0.1364) + 1.7575λ 2 /(λ 2 − 738.43) 0.55–11.5 39, 116 GaAs n 2 = 3.5 + 7.4969λ 2 /(λ 2 − 0.4082) + 1.9347λ 2 /[(λ 2 − 37.17) 2 ] 0.43–2.5 41 α-GaN n o 2 = 3.6 + 1.75λ 2 /[λ 2 − (0.256) 2 ] + 4.1λ 2 /[λ 2 − (17.86) 2 ] n e 2 = 5.35 + 5.08λ 2 /[λ 2 − (18.76) 2 ] + 1.0055λ 2 /[λ 2 − (10.522) 2 ] <10 42 GaP n 2 = 1 + 1.390λ 2 /[λ 2 − (0.172) 2 ] + 4.131λ 2 /[λ 2 − (0.234) 2 ] + 2.570λ 2 /[λ 2 − (345) 2 ] + 2.056λ 2 /[λ 2 − (27.52) 2 ] 0.8–10 43 GaSe n o 2 = −0.05466λ − 4 + 0.48605λ − 2 + 7.8902–0.00824λ 2 –0.00000276λ 4 n e 2 = 6.0476 + 0.3423λ 2 /(λ 2 –0.16491)–0.001042λ 2 —44 Gd 2 (MoO 4 ) 3 n x 2 = 1 + 2.2450λ 2 /( λ 2 − 0.022693) n y 2 = 1 + 2.24654λ 2 /( λ 2 − 0.0226803) n z 2 = 1 + 2.41957λ 2 /( λ 2 − 0.0245458) 0.46–1.06 102 Gd 3 Ga 5 O 12 n 2 = 3.749719 + 1.7083005/(39.509089λ 2 − 1) + 0.01048372λ 2 /(0.001855744λ 2 –1) 0.40–1.06 46 Gd 3 Sc 2 Al 3 O 12 n 2 = 1 + 2.510λ 2 /(λ 2 − 0.01537) 0.54–0.64 47 Gd 3 Sc 2 Ga 3 O 12 n 2 = 3.743782 + 1.9139566/(43.240392λ 2 − 1) + 0.01067490λ 2 /(0.01558170λ 2 –1) 0.40–1.06 48 Gen 2 = 9.28156 + 6.72880λ 2 /(λ 2 − 0.44105) + 0.21307λ 2 /(λ 2 − 3870.1) 2–12 49, 120 α−HgS n o 2 = 6.9443 + 0.3665/( λ 2 − 0.1351) − 0.0019λ 2 n e 2 = 8.3917 + 0.5405/( λ 2 − 0.1380) − 0.0027λ 2 0.62–11 51 InAs n 2 = 11.1 + 0.71λ 2 /[λ 2 − (2.551) 2 ] + 2.75λ 2 /[λ 2 − (44.66) 2 ] 3.7–31.3 InP n 2 = 7.255 + 2.316λ 2 /[λ 2 − (0.6263) 2 ] + 2.765λ 2 /[λ 2 − (32.935) 2 ] 0.95–10 53, 122 © 2003 by CRC Press LLC Section 1: Crystalline Materials 81 KB 5 O 8 •4H 2 On x 2 = 1 + 1/(0.852497 − 0.0087588λ 2 ) n y 2 = 1 + 1/(0.972682 − 0.0087757λ 2 ) n z 2 = 1 + 1/(1.008157 − 0.0094050λ 2 ) 0.23–0.76 54, 121 KBr n 2 = 1.39408 + 0.79221λ 2 /[λ 2 − (0.146) 2 ] + 0.01981λ 2 /[λ 2 − (0.173) 2 ] + 0.15587λ 2 /[λ 2 − (0.187) 2 ] + 0.17673λ 2 /[λ 2 − (60.61) 2 ] + 2.06217λ 2 /[λ 2 − (87.72) 2 ] 0.2–40 35 KCl n 2 = 1.26486 + 0.30523λ 2 /[λ 2 − (0.100) 2 ] + 0.41620λ 2 /[λ 2 − (0.131) 2 ] + 0.18870λ 2 /[λ 2 − (0.162) 2 ] + 2.6200λ 2 /[λ 2 − (70.42) 2 ] 0.18–35 35 KF n 2 = 1.55083 + 0.29162λ 2 /[λ 2 − (0.126) 2 ] + 3.60001λ 2 /[λ 2 − (51.55) 2 ] 0.15–22 35 KD 2 PO 4 n o 2 = 1 + 1.2392348λ 2 /(λ 2 − 0.83531147) + 14.78889λ 2 /(λ 2 –0.8851187) n e 2 = 1 + 1.125324λ 2 /(λ 2 − 0.78980364) + 7.124567λ 2 /(λ 2 –1.190864) 0.4–1.06 55, 56 KH 2 AsO 4 n o 2 = 1 + 1.411981λ 2 /(λ 2 − 1.1955269) + 28.100751λ 2 /(λ 2 − 1.00681) n e 2 =1 + 1.260916λ 2 /(λ 2 − 1.1188613) + 5.258787λ 2 /(λ 2 − 1.055210) 0.4–1.06 55, 56 KH 2 PO 4 n o 2 = 1 + 1.256618λ 2 /(λ 2 − 0.84478168) + 33.89909λ 2 /(λ 2 –1.113904) n e 2 = 1 + 1.131091λ 2 /(λ 2 − 0.8145980) + 5.75675λ 2 /(λ 2 –0.8117537) 0.4–1.06 56 KI n 2 = 1.47285 + 0.16512λ 2 /[λ 2 − (0.129) 2 ] + 0.41222λ 2 /[λ 2 − (0.175) 2 ] + 0.44163λ 2 /[λ 2 − (0.187) 2 ] + 0.16076λ 2 /[λ 2 − (0.219) 2 ] + 0.33571λ 2 /[λ 2 − (69.44) 2 ] + 1.92474λ 2 /[λ 2 − (98.04) 2 ] 0.25–50 35 K 3 Li 2 Nb 5 O 15 n o 2 = 1 + 3.708λ 2 /(λ 2 − 0.04601) n e 2 = 1 + 3.349λ 2 /(λ 2 − 0.03564) 0.45–0.68 57 KNbO 3 n x 2 = 1 + 2.49710λ 2 /([λ 2 − (0.12909) 2 ] + 1.33660λ 2 /[λ 2 − (0.25816) 2 ] − 0.025174λ 2 n y 2 = 1 + 2.54337λ 2 /([λ 2 − (0.13701) 2 ] + 1.44122λ 2 /[λ 2 − (0.27275) 2 ] − 0.028450λ 2 n z 2 = 1 + 2.37108λ 2 /([λ 2 − (0.11972) 2 ] + 1.04825λ 2 /[λ 2 − (0.25523) 2 ] − 0.019433λ 2 0.40–3.4 59 KTaO 3 n 2 = 1 + 3.591λ 2 /([λ 2 − (0.193) 2 ] 0.4–1.06 60 © 2003 by CRC Press LLC 82 Handbook of Optical Materials Dispersion Formulas for Refractive Indices—continued Material Dispersion formula (wavelength λ in µm) Range (µm) Ref. KTiAsO 4 n x 2 = 2.388887 + 0.77900λ 2 /(λ 2 − (0.23784) 2 − 0.01501λ 2 n y 2 = 2.11055 + 1.03177λ 2 /[λ 2 − (0.21088) 2 − 0.01064λ 2 n z 2 = 2.34723 + 1.10111λ 2 /(λ 2 − (0.24016) 2 − 0.01739λ 2 0.45–1.55 58, 91 KTiOPO 4 n x 2 = 2.16747 + 0.83733λ 2 /([λ 2 − (0.04611) 2 ] − 0.01713λ 2 n y 2 = 2.19229 + 0.83547λ 2 /([λ 2 − (0.04970) 2 ] − 0.01621λ 2 n z 2 = 2.25411 + 1.06543λ 2 /([λ 2 − (0.05486) 2 ] − 0.02140λ 2 0.4–1.06 61–64 LaCl 3 n o 2 = 1 + 2.235λ 2 /(λ 2 − (0.01734) n e 2 = 1 + 2.469λ 2 /(λ 2 − (0.017674) 0.49–0.63 65 LaF 3 n o 2 = 1 + 1.53763λ 2 /([λ 2 − (0.0881) 2 ] n e 2 = 1 + 1.5148λ 2 /([λ 2 − (0.08781) 2 ] 0.35–0.70 66 La 2 Be 2 O 5 n x 2 = 1 + 2.7990λ 2 /( λ 2 + 0.01875) n y 2 = 1 + 2.9268λ 2 /( λ 2 − 0.01918) n z 2 = 1 + 3.0725λ 2 /( λ 2 − 0.01950) 0.6–2 67 LiB 3 O 5 n x 2 = 2.45768 + 0.0098877λ 2 /([λ 2 − (0.026095) 2 ] − 0.013847λ 2 n y 2 = 2.52500 + 0.017123λ 2 /([λ 2 − (0.0060517) 2 ] − 0.0087838λ 2 n z 2 = 2.58488 + 0.012737λ 2 /([λ 2 − (0.016293) 2 ] − 0.016293λ 2 0.29–1.06 68 LiCaAlF 6 n o 2 = 1.92552 + 0.00492/( λ 2 − 0.00569) − 0.00421λ 2 n e 2 = 1.92155 + 0.00494/( λ 2 − 0.00617) − 0.00373λ 2 0.4–1.0 69 LiF n 2 = 1 + 0.92549λ 2 /[λ 2 − (0.7376) 2 ] + 6.96747λ 2 /[λ 2 − (32.79) 2 ] 0.1–10 35 LiIO 3 n o 2 = 2.03132 + 1.37623λ 2 /(λ 2 − 0.0350823) + 1.06745λ 2 /(λ 2 − 169.0) n e 2 =1.83086 + 1.08807λ 2 /(λ 2 − 0.0313810) + 0.554582λ 2 /(λ 2 − 158.76) 0.5–5 71 © 2003 by CRC Press LLC Section 1: Crystalline Materials 83 LiNbO 3 n o 2 = 2.39198 + 2.51118λ 2 /[λ 2 − (0.217) 2 ] + 7.1333λ 2 /[λ 2 − (16.502) 2 ] n e 2 = 2.32468 + 2.25650λ 2 /[λ 2 − ( 0.210) 2 ] + 14.503λ 2 /[λ 2 − (25.915) 2 ] 0.4–3.1 72 LiSrAlF 6 n o 2 = 1.97673 + 0.00309/( λ 2 − 0.00935) − 0.00828λ 2 n e 2 = 1.98448 + 0.00235/( λ 2 − 0.10936) − 0.01057λ 2 0.4–1.2 73 LiYF 4 n o 2 = 1.38757 + 0.70757λ 2 /(λ 2 − 0.00931) + 0.18849λ 2 /(λ 2 − 50.99741) n e 2 = 1.31021 + 0.84903λ 2 /(λ 2 − ( 0.00876) 2 + 0.53607λ 2 /(λ 2 − 134.9566) 2 0.23–2.6 74 Lu 3 Al 5 O 12 n 2 = 3.3275151 − 0.0149248λ 2 + 0.0178355λ − 2 + 0.0046614λ − 4 − 0.0009334λ − 6 + 0.0000737λ − 8 0.44–1.2 75 MgAl 2 O 4 n 2 = 1 + 1.8938λ 2 /[λ 2 − (0.09942) 2 ] + 3.0755λ 2 /[λ 2 − (15.826) 2 ] 0.35–5.5 50, 76 MgF 2 n o 2 = 1 + 0.48755108λ 2 /[λ 2 − (0.04338408) 2 ] + 0.39875031λ 2 /[λ 2 − (0.09461442) 2 ] + 2.3120353λ 2 /[λ 2 − (23.793604) 2 ] n e 2 = 1 + 0.41344023 2 /[λ 2 − (0.03684262) 2 ] + 0.50497499λ 2 /[λ 2 − (0.09076162) 2 ] + 2.4904862λ 2 /[λ 2 − (12.771995) 2 ] 0.4–3.1 77 MgO n 2 = 1 + 1.111033λ 2 /[λ 2 − (0.0712465) 2 ] + 0.8460085λ 2 /[λ 2 − (0.1375204) 2 ] + 7.808527λ 2 /[λ 2 − (26.89302) 2 ] 0.36–5.4 78 NaBr n 2 = 1.06728 + 1.10463λ 2 /[λ 2 − (0.125) 2 ] + 0.18816λ 2 /[λ 2 − (0.145) 2 ] + 0.00243λ 2 /[λ 2 − (0.176) 2 ] + 0.24454λ 2 /[λ 2 − (0.188) 2 ] + 3.7960λ 2 /[λ 2 − (74.63) 2 ] 0.21–34 35 (Na,Ca)(Mg,Fe) 3 B 3 Al 6 Si 6 (O,OH,F) 31 (tourmaline) n o 2 = 1 + 1.6346λ 2 /(λ 2 − 0.010734) n e 2 = 1 + 1.57256λ 2 /(λ 2 − 0.011346) 0.48–1.06 79 NaBrO 3 n 2 = 1 + 1.3194λ 2 /[λ 2 − (0.09) 2 ] + 0.2357λ 2 /[λ 2 − (0.2) 2 ]–0.0174λ 2 —80 NaCl n 2 = 1.00055 + 0.19800λ 2 /[λ 2 − (0.050) 2 ] + 0.48398λ 2 /[λ 2 − (0.100) 2 ] + 0.38696λ 2 /[λ 2 − (0.128) 2 ] + 0.25998λ 2 /[λ 2 − (0.158) 2 ] + 0.08796λ 2 /[λ 2 − (40.50) 2 ] + 3.17064λ 2 /[λ 2 − (60.98) 2 ] + 0.30038λ 2 /[λ 2 − (120.34) 2 ] 0.2–30 35 NaClO 3 n 2 = 1 + 1.1825λ 2 /[λ 2 − (0.09) 2 ] + 0.07992λ 2 /[λ 2 − (0.185) 2 ]–0.00864λ 2 0.23–0.72 81 NaF n 2 = 1.41572 + 0.32785λ 2 /[λ 2 − (0.117) 2 ] + 3.18248λ 2 /[λ 2 − (40.57) 2 ] 0.15–17 35 © 2003 by CRC Press LLC 84 Handbook of Optical Materials Dispersion Formulas for Refractive Indices—continued Material Dispersion formula (wavelength λ in µm) Range (µm) Ref. [NH 4 ] 2 CO n o 2 = 2.1823 + 0.0125λ 2 /(λ 2 − 0.0300) n e 2 = 2.51527 + 0.0240λ 2 /(λ 2 − 0.0300) + 0.020(λ− 1.52)/[(λ − 1.52) 2 + 0.8771 0.3–1.06 82 NH 4 D 2 AsO 4 n o 2 = 1 + 1.418168λ 2 /(λ 2 − 1.2246852) + 24.39162λ 2 /(λ 2 − 1.175687) n e 2 = 1 + 1.262661λ 2 /(λ 2 − 1.1728953) + 6.250606λ 2 /(λ 2 − 0.9188848) 0.4–1.06 55, 56 NH 4 H 2 AsO 4 n o 2 = 1 + 1.441185λ 2 /(λ 2 − 1.2290244) + 30.08674λ 2 /(λ 2 − 0.8843874) n e 2 = 1 + 1.274199λ 2 /(λ 2 − 1.1750136) + 11.96164λ 2 /(λ 2 − 1.041567) 0.4–1.06 55, 56 NH 4 H 2 PO 4 n o 2 = 1 + 1.298990λ 2 /(λ 2 − 0.0089232927) + 43.17364λ 2 /(λ 2 − 1188.531) n e 2 = 1 + 1.162166λ 2 /(λ 2 − 0.085932421) + 12.01997λ 2 /(λ 2 − 831.8239) 0.4–1.06 55, 56 NaI n 2 = 1.478 + 1.532λ 2 /[λ 2 − (0.170) 2 ] +4.27λ 2 /[λ 2 − (86.21) 2 ] 0.25–17 35 PbF 2 n 2 = 1 + 0.66959342λ 2 /[λ 2 − (0.00034911) 2 ] + 1.3086319λ 2 /[λ 2 − (0.17144455) 2 ] + 0.01670641λ 2 /[λ 2 − (0.28125513) 2 ] + 2007.8865λ 2 /[λ 2 − (796.67469) 2 ] 0.3–11.9 83 PbMoO 4 n o 2 = 1 + 3.54642λ 2 /[λ 2 − (0.18518) 2 ] + 0.582703λ 2 /[λ 2 − (0.33764) 2 ] n e 2 = 1 + 3.52555λ 2 /[λ 2 − ( 0.17950) 2 ] + 0.20660λ 2 /[λ 2 − (0.32537) 2 ] 0.44–1.08 50, 84 PbNb 4 O 11 n x 2 = 1 + 4.124λ 2 /[(λ 2 − (0.202) 2] n y 2 = 1 + 4.139λ 2 /[λ 2 − (0.2011) 2] n z 2 = 1 + 4.246λ 2 /([λ 2 − (0.2014) 2] 0.45–1.55 85 PbS n 2 = 1 + 15.9λ 2 /([λ 2 − (0.77) 2 ] + 133.2λ 2 /([λ 2 − (141) 2 ] 3.5–10 86 PbSe n 2 = 1 + 21.1λ 2 /([λ 2 − (1.37) 2 ] 5–10 86 PbTe n 2 = 1 + 30.046λ 2 /([λ 2 − (1.563) 2 ] 4.0–12.5 87 PbTiO 3 n o 2 = 1 + 5.363λ 2 /([λ 2 − (0.224) 2 ] 0.45–1.15 © 2003 by CRC Press LLC Section 1: Crystalline Materials 85 n e 2 = 1 + 5.366λ 2 /([λ 2 − (0.0217) 2 ] RbD 2 AsO 4 n o 2 = 1 + 1.371661λ 2 /(λ 2 − 1.1700309) + 16.30710λ 2 /(λ 2 − 1.0114844) n e 2 = 1 + 1.269201λ 2 /(λ 2 − 1.1202311) + 4.300136λ 2 /(λ 2 − 1.149464) 0.4–1.06 55, 56 RbD 2 PO 4 n o 2 = 1 + 1.237455λ 2 /(λ 2 − 0.8274984) + 17.69334λ 2 /(λ 2 − 0.8839832) n e 2 = 1 + 1.154309λ 2 /(λ 2 − 0.81539261) + 585751λ 2 /(λ 2 − 0.8927180) 0.4–1.06 55, 56 RbH 2 AsO 4 n o 2 = 1 + 1.37723λ 2 /(λ 2 − 0.01301) n e 2 = 1 + 1.272831λ 2 /(λ 2 − 0.01157) —89 RbH 2 PO 4 n o 2 = 1 + 1.2068λ 2 /(λ 2 − 0.01539) n e 2 = 1 + 1.15123λ 2 /(λ 2 − 0.010048) 0.48–1.06 90 RbTiOAsO 4 n x 2 = 1.97756 + 1.25726λ 2 /[(λ 2 − (0.20448) 2 ] − 0.00865λ 2 n y 2 = 2.22681 + 0.99616λ 2 /[λ 2 − (0.21423) 2 ] − 0.01369λ 2 n z 2 = 2.28779 + 1.20629λ 2 /([λ 2 − (0.23484) 2 ] − 0.01583λ 2 0.45–1.55 91 RbTiOPO 4 n x 2 = 2.38494 + 0.73603λ 2 /([λ 2 − (0.23891) 2 ] − 0.01583λ 2 n y 2 = 2.15559 + 0.93307λ 2 /[λ 2 − (0.20994) 2 ] − 0.01452λ 2 n z 2 = 2.27723 + 1.11030λ 2 /([λ 2 − (0.23454) 2 ] − 0.01995λ 2 0.45–1.55 91 Se n o = 2.790; n e = 3.608 @ 1.06 µm n o = 2.64; n e = 3.41 @ 10.6 µm — 92 Si n 2 = 1 + 10.66842933λ 2 /[λ 2 − (0.3015116485) 2 ] + 0.003043475λ 2 /[λ 2 − (1.13475115) 2 ] + 1.54133408λ 2 /[λ 2 − (1104.0) 2 ] 1.36–11 93, 94 α-SiC n o 2 = 1 + 5.5515λ 2 /([λ 2 − (0.16250) 2 ] n e 2 = 1 + 5.7382λ 2 /([λ 2 − (0.16897) 2 ] 0.49–1.06 95 β-SiC n 2 = 1 + 5.5705λ 2 /([λ 2 − (0.1635) 2 ] 0.47–0.69 96 © 2003 by CRC Press LLC 86 Handbook of Optical Materials Dispersion Formulas for Refractive Indices—continued Material Dispersion formula (wavelength λ in µm) Range (µm) Ref. SiO 2 (α-quartz) n o 2 = 1 + 0.663044λ 2 /[λ 2 − (0.060) 2 ] + 0.517852λ 2 /[λ 2 − (0.106) 2 ] + 0.175912λ 2 /[λ 2 − (0.119) 2 ] + 0.565380λ 2 /[λ 2 − (8.844) 2 ] + 1.675299λ 2 /[λ 2 − (20.742) 2 ] n e 2 = 1 + 0.665721λ 2 /[λ 2 − (0.060) 2 ] + 0.503511λ 2 /[λ 2 − (0.106) 2 ] + 0.214792λ 2 /[λ 2 − (0.119) 2 ] + 0.539173λ 2 /[λ 2 − (8.792) 2 ] + 1.807613λ 2 /[λ 2 − (197.709) 2 ] 0.18–0.71 97 SrF 2 n 2 = 1 + 0.67805894λ 2 /[λ 2 − (0.05628989) 2 ] + 0.37140533λ 2 /[λ 2 − (0.10801027) 2 ] + 3.8484723λ 2 /[λ 2 − (34.649040) 2 ] 0.21–11.5 98 SrMoO 4 n o 2 = 1 + 2.4839λ 2 /[λ 2 − (0.1451) 2 ] + 0.1015λ 2 /[λ 2 − (4.603) 2 ] n e 2 = 1 + 2.4923λ 2 /[λ 2 − ( 0.1488) 2 ] + 0.1050λ 2 /[λ 2 − (4.544) 2 ] 0.45–2.4 30 SrTiO 3 n = 2.28355 + 0.035906/(λ 2 – 0.028) + 0.001666/(λ 2 − 0.028) 2 − 0.0061335λ 2 − 00001502λ 4 0.4–5.4 99 Sr 5 (VO 4 ) 3 Fn o 2 = 3.29417 + 0.047212/( λ 2 − 0.048260) − 0.008518λ 2 n e 2 = 3.24213 + 0.043872/( λ 2 − 0.053139) − 0.008773λ 2 0.5–1.0 100 Tb 2 (MoO 4 ) 3 n x 2 = 1 + 2.273955λ 2 /(λ 2 − 0.02333) n y 2 = 1 + 2.2724λ 2 /(λ 2 − 0.023359) n z 2 = 1 + 2.4430166λ 2 /[λ 2 − 0.05133) 0.46–1.06 101 Te n o 2 = 18.5346 + 4.3289λ 2 /(λ 2 − 3.9810) + 3.7800λ 2 /(λ 2 − 11813) n e 2 = 29.5222 + 9.3068λ 2 /(λ 2 − 2.5766) + 9.2350λ 2 /(λ 2 − 13521) 4–14 8 n o 2 = 4.0164 + 18.8133λ 2 /(λ 2 − 1.1572) + 7.3729λ 2 /(λ 2 − 10000) n e 2 = 1.9041 + 36.8133λ 2 /(λ 2 –1.0803) + 6.2456λ 2 /(λ 2 − 10000) 8.5–30 8 TeO 2 n o 2 = 1 + 2.584λ 2 /[λ 2 − (0.1342) 2 ] + 1.157λ 2 /[λ 2 − (0.2638) 2 ] n e 2 = 1 + 2.823λ 2 /[λ 2 − ( 0.1342) 2 ] + 1.542λ 2 /[λ 2 − (0.2631) 2 ] 0.4–1 103 TiO 2 n o 2 = 5.913 + 0.2441λ 2 /(λ 2 − 0.0803) 0.43–1.5 104 © 2003 by CRC Press LLC [...]... 315 500 40 0 300 300–600 RT RT RT 4 1 1 1 InP 5000 10600 20000 83 82 77 RT RT RT 1 1 1 560 46 0 120–360 100 40 0 4 4 –28.5 –39.3 43 .8 –30.5 41 .9 46 .3 30.6 41 .1 45 .6 93 293 47 3 93 293 47 3 93 293 47 3 4 4 4 4 4 4 4 4 4 –22.6 – 34. 9 –39.6 –23.5 –36.2 41 .1 –23.3 – 34. 8 –39.1 93 293 47 3 93 293 47 3 93 293 47 3 4 4 4 4 4 4 4 4 4 –19.9 –21 –22 –23 –23 –23 –17 3 RT 293 293 293 293 293 293 293 1 4 4 4 4 4 4 4 InSb... 1 .4 0.9 0.3 –0.1 –0.7 2.0 1.5 1.1 0.6 0.3 –0.3 93 293 47 3 47 3 293 293 93 93 293 293 47 3 47 3 93 93 293 293 47 3 47 3 4 4 4 4 2 2 4 4 4 4 4 4 4 4 4 4 4 4 19.5 18.9 19.1 19.3 16.5 15.3 15.5 15.7 13.6 13.8 14. 0 RT 293 303 313 RT 293 303 313 293 303 313 1 4 4 4 1 4 4 4 4 4 4 298–313 3 48 8 2.8 288 350 365 640 1150 340 0 10600 17000 12.9 –29 –30 .4 –39 40 40 –38 –32 293 293 RT 293 293 293 293 293 4 4 1 4 4 4. .. –15.9 4. 5 –12.5 – 14. 9 93 293 47 3 313 93 293 47 3 93 293 47 3 4 4 4 2 4 4 4 4 4 4 72 3 46 –50 –50 49 44 47 .1 (o) 4. 3 (e) 293 293 293 293 293 293 293 RT RT 4 4 4 4 4 4 4 1 1 –75 (o) 41 (e) 273–373 273–373 4 4 RT RT RT 1 1 1 PbS 3390 5000 10600 PbSe 3390 5000 10600 –2300 – 140 0 –860 RT RT RT 1 1 1 PbTe 3390 5000 10600 –2100 –1500 –1200 RT RT RT 1 1 1 RbBr 288 40 0 640 40 44 45 293 293 293 4 4 4 © 2003... 1: Crystalline Materials Thermooptic Coefficients—continued Material β-ZnS Wavelength (nm) 633 1150 –6 dn/dt (10 /K) Temperature (K) Ref 63.5 35 46 49 .8 50 28 42 46 27 41 47 RT 93 293 RT 47 3 93 293 47 3 93 293 47 3 1 4 4 1 4 4 4 4 4 4 4 633 1150 3390 10600 63.5 49 .8 45 .9 46 .3 RT RT RT RT 6 6 6 6 633 76 106 121 59.7 50 62 67 49 61 69 93 293 47 3 RT 93 293 47 3 93 293 47 3 4 4 4 1 4 4 4 4 4 4 633 1150 3390... 4 4 4 4 4 –20.6 – 34. 2 –39.2 93 293 47 3 4 4 4 457.9 101 Section 1: Crystalline Materials Thermooptic Coefficients—continued Material NaCl Wavelength (nm) 633 1150 3390 NaF 45 7.9 632.8 1150 3390 NaI NH4H2PO4 PbMoO4 288 325 640 1150 340 0 10600 17000 6 24 588 –6 dn/dt (10 /K) Temperature (K) Ref –35 .4 –22.2 –36 .4 41 .4 22 .4 –36.6 41 .8 RT 93 293 47 3 93 293 47 3 1 4 4 4 4 4 4 4. 1 –11.9 – 14. 7 –13.0 4. 5 –13.2... Crystalline Materials Thermooptic Coefficients—continued Material Wavelength (nm) –6 dn/dt (10 /K) Temperature (K) Ref RbBr 1150 340 0 10600 17000 45 45 44 43 293 293 293 293 4 4 4 4 RbCl 288 40 0 640 1150 340 0 10600 17000 –38 –39 –39 –39 –39 –38 –35 293 293 293 293 293 293 293 4 4 4 4 4 4 4 RbI 288 40 0 640 1150 340 0 10600 17000 –37 –55 –56 –56 –56 –56 –55 293 293 293 293 293 293 293 4 4 4 4 4 4 4 Si 140 7... 4. 0 – 14. 5 –18.0 93 47 3 313 93 293 47 3 93 293 47 3 4 4 2 4 4 4 4 4 4 268 5 49 –66 –72 –66 –52 293 293 293 293 293 293 293 4 4 4 4 4 4 4 – 74. 5 (o) –63.5 (e) – 84. 9 (o) –69.2 (e) RT RT RT RT 1 1 1 1 4. 4 (o) 37.9 (e) 0.3 (o) 28.9 (e) RT RT RT RT 1 1 1 1 LiSrAlF6 900 4. 0 (o) –2.5 (e) 293–353 293–353 3 3 LiTaO3 46 8 62 (o) 12 (e) 58 (o) 7 (e) 52 (o) 5 (e) 298 298 298 298 298 298 3 3 3 3 3 3 –0. 54 (o) –2 .44 ... 293 293 293 RT 1 4 4 4 4 4 1 CsF 288 40 0 640 1150 340 0 10600 17000 41 42 42 42 42 –39 –32 293 293 293 293 293 293 293 4 4 4 4 4 4 4 CsI 300 365 633 1000 10000 20000 30000 40 000 50000 –79 –87.5 –99.3 –98.6 –91.7 –89.3 –88.0 –86.2 –78.5 288–307 RT RT 288–307 288–307 288–307 288–307 288–307 288–307 4 1 1 4 4 4 4 4 4 GaAs 1150 3390 10600 250 200 200 RT RT RT 1 1 1 GaN 1150 61 RT 1 GaP 546 633 200 160... (10 /K) 1 CaMoO4 587.6 –9.6 (o) –10.0 (e) 273–373 273–373 4 4 Ca5(PO4)3F 500–1000 –10 (o) –8 (e) 293–338 293–338 3 3 CaWO4 546 .1 546 .1 –7.1 (o) –10.2 (e) 293 293 4 2 4. 3 –9.2 –12 .4 –5.7 –11.5 –15.1 –5.3 –11.1 – 14. 8 93 293 47 3 93 293 47 3 93 293 47 3 4 4 4 4 4 4 4 4 4 RT RT 1 1 CdF2 45 7.9 1150 3390 CdS 10600 CdTe 1150 3390 10600 147 98.2 98.0 RT RT RT 1 1 1 CsBr 2 54 288 40 0 633 640 1150 340 0 10600 17000... (o) 11.9 (e) 3 34 3 34 RT RT 3 34 3 34 RT RT RT RT 4 4 1 1 4 4 1 1 1 1 RT 1 93 4 293 4 473 4 313 2 211 44 1 45 8 633 2 54 457.9 632.8 663 1150 © 2003 by CRC Press LLC Temperature (K) 510 650 365 CaF2 –6 dn/dt (10 /K) –7.5 –3.9 –11.0 13 .4 –11.5 –10 .4 4. 1 95 Section 1: Crystalline Materials Thermooptic Coefficients—continued Material Wavelength (nm) –6 Ref RT 1 93 4 4 47 3 4 RT 3390 –11.5 – 14. 1 –8.1 Temperature . (e) 293 293 4 2 CdF 2 45 7.9 4. 3 93 4 –9.2 293 4 –12 .4 473 4 1150 –5.7 93 4 –11.5 293 4 –15.1 47 3 4 3390 –5.3 93 4 –11.1 293 4 – 14. 8 47 3 4 CdS 10600 58.6 (o) 62 .4 (e) RT RT 1 1 CdTe 1150 3390 10600 147 98.2 98.0 RT RT RT 1 1 1 CsBr. 1150 3390 10600 147 98.2 98.0 RT RT RT 1 1 1 CsBr 2 54 –82 RT 1 288 –86 293 4 400 –86 293 4 633 – 84. 7 RT 1 640 –85 293 4 1150 – 84 293 4 340 0 – 84 293 4 10600 –83 293 4 17000 –82 293 4 30000 –75.8 RT 1 CsCl 288 –79 293 4 365 –78.7 293 1 40 0 –78. 293 4 –18.8 47 3 4 632.8 –16.3 313 2 1150 –8.1 90 4 –16.2 293 4 –19.3 47 3 4 3390 –15.9 RT 1 10600 –7.3 90 4 – 14. 5 293 4 –17.5 47 3 4 Ba 2 NaNb 5 O 15 10 64 –25 (y) 80 (z) RT 5 5 BeAl 2 O 4 10 64 8