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Published in: Optical and Quantum Electronics 8/2013

01-08-2013

A comparative study on the use of the extended-Cauchy dispersion equation for fitting refractive index data in crystals

Authors: Eleni Stoumbou, Ilias Stavrakas, George Hloupis, Alex Alexandridis, Dimos Triantis, Konstantinos Moutzouris

Published in: Optical and Quantum Electronics | Issue 8/2013

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Abstract

This study attempts a comparative evaluation of chromatic dispersion equations in 61 crystalline solids. Based on previously published data, it is demonstrated that the extended-Cauchy equation (which in the past has been mainly used with glasses) outperforms Sellmeier models and other alternative approaches in the cases of 43 crystals, including BBO, BiBO, KTP, etc. Accumulated Cauchy coefficients for these 43 materials are presented. Performance characteristics of the extended-Cauchy model are related to specific experimental conditions, such as the number of available refractive index data, as well as the spectral location and bandwidth of measurement. The number of Cauchy coefficients required for reaching practically maximum fitting accuracy is determined. It is shown that typically, extended-Cauchy equations constructed by use of only five experimental data may be used for precise modeling of two-octave spanning spectral bandwidths.

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Appendix
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Literature
go back to reference Alexandridis, A., Chondrodima, E., Moutzouris, K., Triantis, D.: A neural network approach for the prediction of the refractive index based on experimental data. J. Mater. Sci. 47, 883–891 (2012)ADSCrossRef Alexandridis, A., Chondrodima, E., Moutzouris, K., Triantis, D.: A neural network approach for the prediction of the refractive index based on experimental data. J. Mater. Sci. 47, 883–891 (2012)ADSCrossRef
go back to reference Andreev, R.B., Volosov, V.D., Kalintsev, A.G.: Spectral, angular, and temperature characteristics of HIO3, LiIO3, CDA, DKDP, KDP and ADP non-linear crystals in second- and fourth-harmonic generation. Opt. Spectrosc. 37, 294–299 (1974) Andreev, R.B., Volosov, V.D., Kalintsev, A.G.: Spectral, angular, and temperature characteristics of HIO3, LiIO3, CDA, DKDP, KDP and ADP non-linear crystals in second- and fourth-harmonic generation. Opt. Spectrosc. 37, 294–299 (1974)
go back to reference Ballard, S.S., Browder, J.S., Ebersole, J.F.: Refractive index of special crystals and certain glasses. In: Gray, D.E. (ed.) American Institute of Physics Handbook, pp. 6–20. McGraw-Hill, New York (1982) Ballard, S.S., Browder, J.S., Ebersole, J.F.: Refractive index of special crystals and certain glasses. In: Gray, D.E. (ed.) American Institute of Physics Handbook, pp. 6–20. McGraw-Hill, New York (1982)
go back to reference Bauer, G., Krenn, H.: Lead Telluride (PbTe). In: Palik, E.D. (ed.) Handbook of Optical Constants of Solids, p. 535. Academic Press, New York (1985) Bauer, G., Krenn, H.: Lead Telluride (PbTe). In: Palik, E.D. (ed.) Handbook of Optical Constants of Solids, p. 535. Academic Press, New York (1985)
go back to reference Belikova, G.S., et al.: Optical second-harmonic generation in meta-dinitrobenzene crystals. Opt. Spectrosc. 38, 441–443 (1975)ADS Belikova, G.S., et al.: Optical second-harmonic generation in meta-dinitrobenzene crystals. Opt. Spectrosc. 38, 441–443 (1975)ADS
go back to reference Bieniewski, T.M., Czyak, S.J.: Refractive indexes of single hexagonal ZnS and CdS crystals. J. Opt. Soc. Am. 53, 496–497 (1963)CrossRef Bieniewski, T.M., Czyak, S.J.: Refractive indexes of single hexagonal ZnS and CdS crystals. J. Opt. Soc. Am. 53, 496–497 (1963)CrossRef
go back to reference Bond, W.L.: Measurement of the rfractive indices of several crystals. J. Appl. Phys. 36, 1674–1677 (1965)ADSCrossRef Bond, W.L.: Measurement of the rfractive indices of several crystals. J. Appl. Phys. 36, 1674–1677 (1965)ADSCrossRef
go back to reference Boyd, G.D., et al.: Linear and nonlinear optical properties of some ternary selenides. IEEE J. Quantum Electron. 8, 900–908 (1972)ADSCrossRef Boyd, G.D., et al.: Linear and nonlinear optical properties of some ternary selenides. IEEE J. Quantum Electron. 8, 900–908 (1972)ADSCrossRef
go back to reference Boyd, G.D., Kasper, H.M., McFee, J.H.: Linear and nonlinear optical properties of AgGaS2, CuGaS2, and CuInS2, and theory of the wedge technique for the measurement of nonlinear coefficients. IEEE J. Quantum Electron. 7, 563–573 (1971)ADSCrossRef Boyd, G.D., Kasper, H.M., McFee, J.H.: Linear and nonlinear optical properties of AgGaS2, CuGaS2, and CuInS2, and theory of the wedge technique for the measurement of nonlinear coefficients. IEEE J. Quantum Electron. 7, 563–573 (1971)ADSCrossRef
go back to reference Breckenridge, R.G., et al.: Electrical and optical properties of intermetallic compounds. I. Indium antimonide. Phys. Rev. 96, 571–575 (1954)ADSCrossRef Breckenridge, R.G., et al.: Electrical and optical properties of intermetallic compounds. I. Indium antimonide. Phys. Rev. 96, 571–575 (1954)ADSCrossRef
go back to reference Cauchy, A.L.: M’emoire sur la Dispersion de la Lumiere. Calve, Prague (1836) Cauchy, A.L.: M’emoire sur la Dispersion de la Lumiere. Calve, Prague (1836)
go back to reference Chen, C., et al.: The vacuum ultraviolet phase-matching characteristics of nonlinear optical KBe2BO3F2 crystal. Appl. Phys. Lett. 68, 2930–2932 (1996)ADSCrossRef Chen, C., et al.: The vacuum ultraviolet phase-matching characteristics of nonlinear optical KBe2BO3F2 crystal. Appl. Phys. Lett. 68, 2930–2932 (1996)ADSCrossRef
go back to reference Choy, M.M., Byer, R.L.: Accurate second-order susceptibility measurements of visible and infrared nonlinear crystals. Phys. Rev. B 14, 1693–1706 (1976)ADSCrossRef Choy, M.M., Byer, R.L.: Accurate second-order susceptibility measurements of visible and infrared nonlinear crystals. Phys. Rev. B 14, 1693–1706 (1976)ADSCrossRef
go back to reference Crettez, J.M., Comte, J., Coquet, E.: Optical properties of \(\alpha \)- and \(\beta \)-lithium iodate in the visible range. Opt. Commun. 6, 26–29 (1972)ADSCrossRef Crettez, J.M., Comte, J., Coquet, E.: Optical properties of \(\alpha \)- and \(\beta \)-lithium iodate in the visible range. Opt. Commun. 6, 26–29 (1972)ADSCrossRef
go back to reference Dodge, M.J., Malitson, I.H., Mahan, A.I.: A special method for precise refractive index measurement of uniaxial optical media. Appl. Opt. 8, 1703–1705 (1969)ADSCrossRef Dodge, M.J., Malitson, I.H., Mahan, A.I.: A special method for precise refractive index measurement of uniaxial optical media. Appl. Opt. 8, 1703–1705 (1969)ADSCrossRef
go back to reference Eimerl, D., et al.: Optical, mechanical, and thermal properties of barium borate. J. Appl. Phys. 62, 1968–1983 (1987)ADSCrossRef Eimerl, D., et al.: Optical, mechanical, and thermal properties of barium borate. J. Appl. Phys. 62, 1968–1983 (1987)ADSCrossRef
go back to reference El-Zaiat, S.Y.: Interferometric determination of refraction and dispersion of a birefringent material: numerical procedure. Opt. Laser Technol. 34, 15–21 (2002)ADSCrossRef El-Zaiat, S.Y.: Interferometric determination of refraction and dispersion of a birefringent material: numerical procedure. Opt. Laser Technol. 34, 15–21 (2002)ADSCrossRef
go back to reference Ewbank, M.D., et al.: The temperature dependence of optical and mechanical properties of Tl3AsSe3. J. Appl. Phys. 51, 3848–3852 (1980)ADSCrossRef Ewbank, M.D., et al.: The temperature dependence of optical and mechanical properties of Tl3AsSe3. J. Appl. Phys. 51, 3848–3852 (1980)ADSCrossRef
go back to reference Fan, T.Y., Huang, C.E., Hu, B.Q., Eckardt, R.C., Fan, Y.X., Byer, R.L., Feigelson, R.S.: Second harmonic generation and accurate index of refraction measurements in fluxgrown KTiOPO4. Appl. Opt. 26, 2390–2394 (1987)ADSCrossRef Fan, T.Y., Huang, C.E., Hu, B.Q., Eckardt, R.C., Fan, Y.X., Byer, R.L., Feigelson, R.S.: Second harmonic generation and accurate index of refraction measurements in fluxgrown KTiOPO4. Appl. Opt. 26, 2390–2394 (1987)ADSCrossRef
go back to reference Feldman, A., Horowitz, D., Waxler, R.M., Dodge, M.J.: Optical materials characterization final technical report, National Bureau of Standards (U.S.). Technical note 993, p. 33 (1979) Feldman, A., Horowitz, D., Waxler, R.M., Dodge, M.J.: Optical materials characterization final technical report, National Bureau of Standards (U.S.). Technical note 993, p. 33 (1979)
go back to reference Ghosh, G.: Dispersion-equation coefficients for the refractive index and birefringence of calcite and quartz crystals. Opt. Commun. 163, 95–102 (1999)ADSCrossRef Ghosh, G.: Dispersion-equation coefficients for the refractive index and birefringence of calcite and quartz crystals. Opt. Commun. 163, 95–102 (1999)ADSCrossRef
go back to reference Ghosh, G.: In: Palik, E.D. (ed.) Handbook of Thermo-optic Coefficients of Optical Materials with Applications. Academic Press, MA (1998) Ghosh, G.: In: Palik, E.D. (ed.) Handbook of Thermo-optic Coefficients of Optical Materials with Applications. Academic Press, MA (1998)
go back to reference Gu, Z., Shi, Y., Gao, K.: Dispersion characteristics in metal coated long period fiber gratings. Opt. Quantum Electron. 44, 303–311 (2012)CrossRef Gu, Z., Shi, Y., Gao, K.: Dispersion characteristics in metal coated long period fiber gratings. Opt. Quantum Electron. 44, 303–311 (2012)CrossRef
go back to reference Han, J., et al.: Flux growth and properties of RbTiOPO4 (RTA) crystals. J. Cryst. Growth 128, 864–866 (1993)ADSCrossRef Han, J., et al.: Flux growth and properties of RbTiOPO4 (RTA) crystals. J. Cryst. Growth 128, 864–866 (1993)ADSCrossRef
go back to reference Hellwig, H., Liebertz, J., Bohatý, L.: Linear optical properties of the monoclinic bismuth borate BiB3O6. J. Appl. Phys. 88, 240–244 (2000)ADSCrossRef Hellwig, H., Liebertz, J., Bohatý, L.: Linear optical properties of the monoclinic bismuth borate BiB3O6. J. Appl. Phys. 88, 240–244 (2000)ADSCrossRef
go back to reference Hettner, G., Leisegang, G.: Dispersion of the mixed crystals TlBr-TlI (KRS-5) and TlCl-TlBr (KRS-6) in the infrared. Optik 3, 305–314 (1948) Hettner, G., Leisegang, G.: Dispersion of the mixed crystals TlBr-TlI (KRS-5) and TlCl-TlBr (KRS-6) in the infrared. Optik 3, 305–314 (1948)
go back to reference Houston, T.W., Johnson, L.F.K., Kisliuk, P., Walsh, D.J.: Temperature dependence of the refractive index of optical maser crystals. J. Opt. Soc. Am. 53, 1286–1291 (1963)ADSCrossRef Houston, T.W., Johnson, L.F.K., Kisliuk, P., Walsh, D.J.: Temperature dependence of the refractive index of optical maser crystals. J. Opt. Soc. Am. 53, 1286–1291 (1963)ADSCrossRef
go back to reference Kedenburg, S., Vieweg, M., Gissibl, T., Giessen, H.: Linear refractive index and absorption measurements of nonlinear optical liquids in the visible and near-infrared spectral region. Opt. Mater. Express 2, 1588–1611 (2012)CrossRef Kedenburg, S., Vieweg, M., Gissibl, T., Giessen, H.: Linear refractive index and absorption measurements of nonlinear optical liquids in the visible and near-infrared spectral region. Opt. Mater. Express 2, 1588–1611 (2012)CrossRef
go back to reference Kirby, K.W., DeShazer, L.G.: Refractive indices of 14 nonlinear crystals isomorphic to KH2PO4. J. Opt. Soc. Am. B 4, 1072–1078 (1987)ADSCrossRef Kirby, K.W., DeShazer, L.G.: Refractive indices of 14 nonlinear crystals isomorphic to KH2PO4. J. Opt. Soc. Am. B 4, 1072–1078 (1987)ADSCrossRef
go back to reference Micheli, F.J.: Ueber den Einfluss der Temperatur auf die Dispersion ultravioletter Strahlen in Flussspat, Steinsalz, Quarz und Kalkspat. Annalen der Physik 312, 772–790 (1902)ADSCrossRef Micheli, F.J.: Ueber den Einfluss der Temperatur auf die Dispersion ultravioletter Strahlen in Flussspat, Steinsalz, Quarz und Kalkspat. Annalen der Physik 312, 772–790 (1902)ADSCrossRef
go back to reference Moutzouris, K., Hloupis, G., Stavrakas, I., Triantis, D.: Temperature-dependent visible to near-infrared optical properties of 8 mol% Mg-doped lithium tantalate. Opt. Mater. Express 1, 458–465 (2011)CrossRef Moutzouris, K., Hloupis, G., Stavrakas, I., Triantis, D.: Temperature-dependent visible to near-infrared optical properties of 8 mol% Mg-doped lithium tantalate. Opt. Mater. Express 1, 458–465 (2011)CrossRef
go back to reference Naito, H., Inaba, H.: Measurement of the refractive Indices of a-iodic acid, HIO3 crystal. Opto-electronics 4, 335–337 (1972)CrossRef Naito, H., Inaba, H.: Measurement of the refractive Indices of a-iodic acid, HIO3 crystal. Opto-electronics 4, 335–337 (1972)CrossRef
go back to reference Phillips, R.A.: Temperature variation of the index of refraction of ADP, KDP, and deuterated KDP. J. Opt. Soc. Am. 56, 629–632 (1966)ADSCrossRef Phillips, R.A.: Temperature variation of the index of refraction of ADP, KDP, and deuterated KDP. J. Opt. Soc. Am. 56, 629–632 (1966)ADSCrossRef
go back to reference Saha, A.K., Islam, S.: An improved model for computing the reflectivity of AlAs/GaAs based distributed bragg reflector and vertical cavity surface emitting laser. Opt. Quantum Electron. 41, 873–882 (2009)CrossRef Saha, A.K., Islam, S.: An improved model for computing the reflectivity of AlAs/GaAs based distributed bragg reflector and vertical cavity surface emitting laser. Opt. Quantum Electron. 41, 873–882 (2009)CrossRef
go back to reference Sellmeier, W.: Zur Erklärung der abnormen Farbenfolge im Spectrum einiger Substanzen. Annalen der Physik und Chemie 219, 272–282 (1871)ADSCrossRef Sellmeier, W.: Zur Erklärung der abnormen Farbenfolge im Spectrum einiger Substanzen. Annalen der Physik und Chemie 219, 272–282 (1871)ADSCrossRef
go back to reference Sharlandjiev, P.S., Nazarova, D.I.: Determination of optical functions of very thin tantalum pentoxide films on platinum substrate by generic algorithm approach. Opt. Quantum Electron. 44, 673–681 (2012)CrossRef Sharlandjiev, P.S., Nazarova, D.I.: Determination of optical functions of very thin tantalum pentoxide films on platinum substrate by generic algorithm approach. Opt. Quantum Electron. 44, 673–681 (2012)CrossRef
go back to reference Shen, H.Y., Zhou, Y.P., Lin, W.X., Zeng, Z.D., Zeng, R.R., Yu, G.F., Huang, C.H., Jiang, A.D., Jia, S.Q., Shen, D.Z.: Second harmonic generation and sum frequency mixing of dual wavelength Nd:YAlO3 laser in flux grown KTiOPO4 crystal. IEEE J. Quantum Electron. 28, 48–51 (1992)ADSCrossRef Shen, H.Y., Zhou, Y.P., Lin, W.X., Zeng, Z.D., Zeng, R.R., Yu, G.F., Huang, C.H., Jiang, A.D., Jia, S.Q., Shen, D.Z.: Second harmonic generation and sum frequency mixing of dual wavelength Nd:YAlO3 laser in flux grown KTiOPO4 crystal. IEEE J. Quantum Electron. 28, 48–51 (1992)ADSCrossRef
go back to reference Singh, S., Draegert, D.A., Geusic, J.E.: Optical and ferroelectric properties of barium sodium niobate. Phys. Rev. B 2, 2709–2724 (1970)ADSCrossRef Singh, S., Draegert, D.A., Geusic, J.E.: Optical and ferroelectric properties of barium sodium niobate. Phys. Rev. B 2, 2709–2724 (1970)ADSCrossRef
go back to reference Takizawa, K., Okada, M., Ieiri, S.: Refractive indices of paratellurite and lithium iodate in the visible and ultraviolet regions. Opt. Commun. 23, 279–281 (1977)ADSCrossRef Takizawa, K., Okada, M., Ieiri, S.: Refractive indices of paratellurite and lithium iodate in the visible and ultraviolet regions. Opt. Commun. 23, 279–281 (1977)ADSCrossRef
go back to reference Tan, W.C., Koughia, K., Kasap, S.O.: Fundamental optical properties of materials I. In: Singh, J. (ed.) Optical Properties of Condensed Matter and Applications, chap. 1. Wiley, Chichester (2006) Tan, W.C., Koughia, K., Kasap, S.O.: Fundamental optical properties of materials I. In: Singh, J. (ed.) Optical Properties of Condensed Matter and Applications, chap. 1. Wiley, Chichester (2006)
go back to reference Tatian, B.: Fitting refractive index data with the Sellmeier dispersion formula. Appl. Opt. 23, 4477–4485 (1984)ADSCrossRef Tatian, B.: Fitting refractive index data with the Sellmeier dispersion formula. Appl. Opt. 23, 4477–4485 (1984)ADSCrossRef
go back to reference Tilton, L.T., Plyler, E.K., Stephens, R.E.: Refractive index of silver chloride for visible and infra-red radiant energy. J. Opt. Soc. Am. 40, 540–541 (1950)ADSCrossRef Tilton, L.T., Plyler, E.K., Stephens, R.E.: Refractive index of silver chloride for visible and infra-red radiant energy. J. Opt. Soc. Am. 40, 540–541 (1950)ADSCrossRef
go back to reference Umegaki, S., et al.: Refractive indices of lithium iodate between 0.4 and 2.2 \(\mu \). Opt. Commun. 3, 244–245 (1971)ADSCrossRef Umegaki, S., et al.: Refractive indices of lithium iodate between 0.4 and 2.2 \(\mu \). Opt. Commun. 3, 244–245 (1971)ADSCrossRef
go back to reference Vassalo, C.: 1993–1995 optical mode solvers. Opt. Quantum Electron. 29, 95–114 (1997)CrossRef Vassalo, C.: 1993–1995 optical mode solvers. Opt. Quantum Electron. 29, 95–114 (1997)CrossRef
go back to reference Velsko, S.P., et al.: Phase-matched harmonic generation in lithium triborate (LBO). IEEE J. Quantum Electron. 27, 2182–2192 (1991)ADSCrossRef Velsko, S.P., et al.: Phase-matched harmonic generation in lithium triborate (LBO). IEEE J. Quantum Electron. 27, 2182–2192 (1991)ADSCrossRef
go back to reference Wong, C., et al.: Barium titanate (BaTiO3). In: Palik, E.D. (ed.) Handbook of Optical Constants of Solids II, pp. 789–894. Academic Press, Orlando (1991) Wong, C., et al.: Barium titanate (BaTiO3). In: Palik, E.D. (ed.) Handbook of Optical Constants of Solids II, pp. 789–894. Academic Press, Orlando (1991)
go back to reference Wood, D.L., Nassau, K.: Refractive index of cubic zirconia stabilized with yttria. Appl. Opt. 21, 2978–2981 (1982)ADSCrossRef Wood, D.L., Nassau, K.: Refractive index of cubic zirconia stabilized with yttria. Appl. Opt. 21, 2978–2981 (1982)ADSCrossRef
go back to reference Ye, N., et al.: New nonlinear optical crystal K2Al2B2O7. J. Opt. Soc. Am. B 17, 764–768 (2000)ADSCrossRef Ye, N., et al.: New nonlinear optical crystal K2Al2B2O7. J. Opt. Soc. Am. B 17, 764–768 (2000)ADSCrossRef
go back to reference Yin, X., Wang, J.Y.: Electro-optic property of RbTiOPO4 (RTA) crystal. Nolinear Opt. 23, 93–96 (2000) Yin, X., Wang, J.Y.: Electro-optic property of RbTiOPO4 (RTA) crystal. Nolinear Opt. 23, 93–96 (2000)
go back to reference Zernike, F.: Refractive indices of ammonium dihydrogen phosphate and potassium dihydrogen phosphate between 2000 Å and 1.5 \(\mu \). J. Opt. Soc. Am. 54, 1215–1219 (1964)ADSCrossRef Zernike, F.: Refractive indices of ammonium dihydrogen phosphate and potassium dihydrogen phosphate between 2000 Å and 1.5 \(\mu \). J. Opt. Soc. Am. 54, 1215–1219 (1964)ADSCrossRef
go back to reference Ziogos, G., Kriezis, E.: Modeling light propagation in liquid crystal devices with a 3-D full-vector-element beam propagation method. Opt. Quantum Electron. 40, 733–748 (2008)CrossRef Ziogos, G., Kriezis, E.: Modeling light propagation in liquid crystal devices with a 3-D full-vector-element beam propagation method. Opt. Quantum Electron. 40, 733–748 (2008)CrossRef
go back to reference Zysset, B., Biaggio, I., Gunter, P.: Refractive indices of orthorhombic KNbO3. I. Dispersion and temperature dependence. J. Opt. Soc. Am. B 9, 380–386 (1992)ADSCrossRef Zysset, B., Biaggio, I., Gunter, P.: Refractive indices of orthorhombic KNbO3. I. Dispersion and temperature dependence. J. Opt. Soc. Am. B 9, 380–386 (1992)ADSCrossRef
Metadata
Title
A comparative study on the use of the extended-Cauchy dispersion equation for fitting refractive index data in crystals
Authors
Eleni Stoumbou
Ilias Stavrakas
George Hloupis
Alex Alexandridis
Dimos Triantis
Konstantinos Moutzouris
Publication date
01-08-2013
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 8/2013
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-013-9687-z

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