OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 3 — Jan. 20, 2007
  • pp: 327–334

Employing spectra of polycrystalline materials for the verification of optical constants obtained from corresponding low-symmetry single crystals

Thomas G. Mayerhöfer and Jürgen Popp  »View Author Affiliations

Applied Optics, Vol. 46, Issue 3, pp. 327-334 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (378 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The determination of optical constants from spectra of low-symmetry single crystals or from spectra stemming from unfavorable crystal faces by dispersion analysis is a difficult task. Besides oscillator frequencies, band positions can additionally depend on oscillator strength as well as on the relative orientation of the transition moment. Therefore the results of the analysis are highly prone to errors. We present an easy method to validate the oscillator data resulting from dispersion analysis by the comparison of measured and simulated spectra of randomly oriented polycrystalline materials. Depending on the crystallite size, either average reflectance and transmittance theory (ARTT) or average refractive index theory (ARIT) can be applied to model the spectra of polycrystalline compounds. As an alternative to ARIT, effective medium theory (EMA) can also be employed. However, since principal dielectric functions do not exist in the general triclinic case, which are needed for the application of EMA, we suggest using the eigenvalues of the dielectric tensor function instead. Our method for the verification of optical constants of single crystals is validated using monoclinic CuO as an example.

© 2007 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.3060) Physical optics : Infrared
(300.6250) Spectroscopy : Spectroscopy, condensed matter

ToC Category:
Physical Optics

Original Manuscript: June 2, 2006
Manuscript Accepted: September 1, 2006
Published: January 4, 2007

Thomas G. Mayerhöfer and Jürgen Popp, "Employing spectra of polycrystalline materials for the verification of optical constants obtained from corresponding low-symmetry single crystals," Appl. Opt. 46, 327-334 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. T. G. Mayerhöfer, "Modelling IR spectra of single-phase polycrystalline materials with random orientation-a unified approach," Vib. Spectrosc. 35, 67-76 (2004), and references therein. [CrossRef]
  2. F. Wooten, Optical Properties of Solids (Academic, 1972).
  3. M. V. Belousov and V. F. Pavinich, "Infrared reflection spectra of monoclinic crystals," Opt. Spectrosc. 45, 771-774 (1978).
  4. J. R. Aronson, A. G. Emslie, and P. F. Strong, "Optical constants of triclinic anisotropic crystals: blue vitriol," Appl. Opt. 24, 1200-1203 (1985). [CrossRef] [PubMed]
  5. A. B. Kuz'menko, D. van der Marel, P. J. M. van Bentum, E. A. Tishchenko, C. Pressura, and A. A. Bush, "Infrared spectroscopic study of CuO: signatures of strong spin-phonon interaction and structural distortion," Phys. Rev. B 63, 094303 (2001). [CrossRef]
  6. J. R. Aronson, A. G. Emslie, E. V. Miseo, E. M. Smith, and P. F. Strong, "Optical constants of monoclinic anisotropic crystals: gypsum," Appl. Opt. 22, 4093-4098 (1983). [CrossRef] [PubMed]
  7. A. B. Kuz'menko, E. A. Tishchenko, and V. G. Orlov, "Transverse optic modes in monoclinic α-Bi2O3," J. Phys. Condens. Matter 8, 6199-6212 (1996). [CrossRef]
  8. S. Guha, D. Peebles, and T. J. Wieting, "Zone-center (q = 0) optical phonons in CuO studied by Raman and infrared spectroscopy," Phys. Rev. B 43, 13092-13101 (1991). [CrossRef]
  9. C. C. Homes, M. Ziaei, B. P. Clayman, and J. C. Irwin, "Softening of a reststrahlen band in CuO near the Néel transition," Phys. Rev. B 51, 3140-3151 (1995). [CrossRef]
  10. G. Emslie and J. R. Aronson, "Determination of the complex dielectric tensor of triclinic crystals: theory," J. Opt. Soc. Am. 73, 916-919 (1983). [CrossRef]
  11. T. G. Mayerhöfer and J. Popp, "Modeling IR-spectra of polycrystalline materials in the large crystallites limit-quantitative determination of orientation," J. Opt. A: Pure Appl. Opt. 8, 657-671 (2006). [CrossRef]
  12. P. Yeh, Optical Waves in Layered Media (Wiley, 1988).
  13. T. G. Mayerhöfer, "Symmetric Euler orientation representations for orientational averaging," Spectrochimica Acta A 61, 2611-2621 (2005). [CrossRef]
  14. T. G. Mayerhöfer and J. Popp, "Effective optical constants-a fundamental discrepancy," Vib. Spectrosc. 42(10), 118-123 (2006). [CrossRef]
  15. G. Kliche and Z. V. Popovic, "Far-infrared spectroscopic investigations on CuO," Phys. Rev. B 42, 10060-10066 (1990). [CrossRef]
  16. L. Degiorgi, E. Kaldis, and P. Wachter, "Electronic and phononic structure of La1.85Sr0.15CuO4," Physica C 153ߝ155, 657-658 (1988). [CrossRef]
  17. D. Stroud and F. P. Pan, "Self-consistent approach to electromagnetic wave propagation in composite media: application to model granular metals," Phys. Rev. B 17, 1602-1610 (1978). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited