OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 3 — Mar. 1, 2003
  • pp: 548–556

Guided modes in a uniaxial multilayer

Ivan Avrutsky  »View Author Affiliations


JOSA A, Vol. 20, Issue 3, pp. 548-556 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000548


View Full Text Article

Acrobat PDF (206 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An algorithm is presented for simulation of guided modes in a multilayer uniaxial structure with each layer characterized by its own ellipsoid of refractive indices and direction of optical axis. The proposed approach is based on presenting an electromagnetic field in each layer as a linear combination of ordinary and extraordinary waves coupled through the boundary conditions. The problem is reduced to two dimensions by considering the waves with a given projection of the wave vector on the plane of the waveguide. No a priori assumption about the guided-mode polarization is required in this method. Hybrid polarized modes appear naturally as solutions of a system of linear equations with respect to the amplitudes of the ordinary and extraordinary waves. The proposed approach covers a wide variety of important practical cases including isotropic waveguides, surface waves at the boundary between positive uniaxial crystal and isotropic medium, surface plasmons at metallic interfaces, uniaxial multilayers in a very general form, and leaky modes in such structures.

© 2003 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(160.1190) Materials : Anisotropic optical materials
(160.3130) Materials : Integrated optics materials
(230.4170) Optical devices : Multilayers
(230.7390) Optical devices : Waveguides, planar
(240.6690) Optics at surfaces : Surface waves

Citation
Ivan Avrutsky, "Guided modes in a uniaxial multilayer," J. Opt. Soc. Am. A 20, 548-556 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-3-548


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. See, e.g., A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).
  2. P. J. Linchung and S. Teitler, “4×4 matrix formalism for optics in stratified anisotropic media,” J. Opt. Soc. Am. A 1, 703–705 (1984).
  3. A. Knoesen, T. K. Gaylord, and M. G. Moharam, “Hybrid guided modes in uniaxial dielectric planar wave-guides,” J. Lightwave Technol. 6, 1083–1104 (1988).
  4. I. Hodgkinson and D. Endelma, “Bound modes in anisotropic multilayer thin-film wave-guides,” Appl. Opt. 29, 4424–4426 (1990).
  5. C. R. Paiva and A. M. Barbosa, “Spectral representation of self-adjoint problems for layered anisotropic wave-guides,” IEEE Trans. Microwave Theory Tech. 39, 330–338 (1991).
  6. G. Tartarini, P. Bassi, S. F. Chen, M. P. Demicheli, and D. B. Ostrovsky, “Calculation of hybrid modes in uniaxial planar optical wave-guides—application to proton-exchanged lithium-niobate wave-guides,” Opt. Commun. 101, 424–431 (1992).
  7. J. F. Offersgaard, “Wave-guides formed by multiple layers of dielectric, semiconductor, or metal media with optical loss and anisotropy,” J. Opt. Soc. Am. A 12, 2122–2128 (1995).
  8. J. F. Offersgaard, T. Veng, and T. Skettrup, “Accurate method for determining the refractive-index profiles of planar waveguides in uniaxial media with the optical axis normal to the surface,” Appl. Opt. 35, 2602–2609 (1996).
  9. W. H. Press, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, New York, 1997).
  10. M. I. D’Yakonov, “Novel type of boundary electromagnetic waves,” Zh. Eksp. Teor. Fiz. 94, 119–123 (1988); Sov. Phys. JETP 67, 714 (1988).
  11. D. B. Walker, E. N. Glysis, and T. K. Gaylord, “Surface mode at isotropic–uniaxial and isotropic–biaxial interfaces,” J. Opt. Soc. Am. A 15, 248–260 (1998).
  12. A. Boudrioua, P. Moretti, J. C. Loulergue, and K. Polgar, “Helium ion-implanted planar waveguide in Y-cut and Z-cut β-BBO (BaB2O4),” Opt. Mater. 14, 31–39 (2000).
  13. L. Torner, F. Canal, and J. Hernandezmarco, “Leaky modes in multilayer uniaxial waveguides,” Appl. Opt. 29, 2805–2814 (1990).
  14. L. Torner, J. Recolons, and J. P. Torres, “Guided-to-leaky mode transition in uniaxial optical slab wave-guides,” J. Lightwave Technol. 11, 1592–1600 (1993).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited