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Applied Optics

Applied Optics


  • Vol. 38, Iss. 18 — Jun. 20, 1999
  • pp: 3904–3910

Theory for a New Full-Vectorial Beam-Propagation Method in Anisotropic Structures

Francesca Castaldo, Giancarlo Abbate, and Enrico Santamato  »View Author Affiliations

Applied Optics, Vol. 38, Issue 18, pp. 3904-3910 (1999)

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We present a theoretical model of light-beam propagation in anisotropic and inhomogeneous dielectric structures obtained as a direct extension of the scalar fast-Fourier-transform beam-propagation method. We solve Maxwell’s equations in a generalized geometrical optics approximation, in which the reflected fields are neglected. This is a full-vectorial model because it accounts for the polarization effects that are due to both the anisotropy and the inhomogeneity of the medium.

© 1999 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(350.5500) Other areas of optics : Propagation

Francesca Castaldo, Giancarlo Abbate, and Enrico Santamato, "Theory for a New Full-Vectorial Beam-Propagation Method in Anisotropic Structures," Appl. Opt. 38, 3904-3910 (1999)

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  1. J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-dependent propagation of high energy laser beams through the atmosphere,” Appl. Phys. 10, 129–160 (1976).
  2. J. Van Roey, J. Van der Donk, and P. E. Lagasse, “Beam propagation method: analysis and assessment,” J. Opt. Soc. Am. 71, 803–810 (1981).
  3. M. D. Feit and J. A. Fleck, “Computation of mode properties in optical fiber waveguides by a propagating beam method,” Appl. Opt. 19, 1154–1158 (1980).
  4. M. D. Feit and J. A. Fleck, “Calculation of dispersion in graded-index multimode fibers by a propagating beam-method,” Appl. Opt. 8, 2843–2851 (1979).
  5. M. D. Feit and J. A. Fleck, “Analysis of rib waveguides and couplers by the propagating beam method,” J. Opt. Soc. Am. A 7, 73–79 (1990).
  6. M. J. Robertson, S. Ritchie, and P. Dayan, “Semiconductor waveguides: analysis of optical propagation in single rib structures and directional couplers,” Proc. Inst. Electr. Eng. 132, 336–342 (1985).
  7. D. Yevick and L. Thilén, “Analysis of gratings by the beam-propagation method,” J. Opt. Soc. Am. 72, 1084–1089 (1982).
  8. R. Baets and P. E. Lagasse, “Calculation of radiation loss in integrated-optic tapers and Y-junctions,” Appl. Opt. 21, 1972–1979 (1982).
  9. R. Baets and P. E. Lagasse, “Loss calculation and design of arbitrarily curved integrated-optic waveguides,” J. Opt. Soc. Am. 73, 177–182 (1983).
  10. M. D. Feit and J. A. Fleck, “Light propagation in graded-index optical fibers,” Appl. Opt. 17, 3990–3998 (1978).
  11. D. Yevick and B. Hermansson, “New formulation of the matrix beam propagation method: application to rib waveguides,” IEEE J. Quantum Electron. 25, 221–229 (1989).
  12. J. Van Roey and P. E. Lagasse, “Coupled wave analysis of obliquely incident waves in thin film gratings,” Appl. Opt. 20, 423–429 (1981).
  13. J. A. Hermann, “Beam propagation and optical power limiting with nonlinear media,” J. Opt. Soc. Am. B 1, 729–736 (1984).
  14. L. Thylen and D. Yevick, “Beam propagation method in anisotropic media,” Appl. Opt. 21, 2751–2754 (1982).
  15. J. A. Fleck and M. D. Feit, “Beam propagation in uniaxial anisotropic media,” J. Opt. Soc. Am. 73, 920–926 (1983).
  16. J. M. Liu and L. Gomelsky, “Vectorial beam propagation method,” J. Opt. Soc. Am. A 9, 1574–1585 (1992).
  17. W. P. Huang, C. L. Xu, S. T. Chu, and S. K. Chaudhuri, “A vector beam propagation method for guided-wave optics,” IEEE Photon. Technol. Lett. 3, 910–913 (1991).
  18. K. Hayata and M. Koshiba, “Full-vectorial analysis of nonlinear-optical waveguides,” J. Opt. Soc. Am. B 5, 2494–2501 (1988).
  19. S. Selleri and M. Zoboli, “An improved finite element method formulation for the analysis of nonlinear anisotropic waveguides,” IEEE Trans. Microwave Theory Tech. 43, 887–892 (1995).
  20. C. Oldano, “Electromagnetic-wave propagation in anisotropic stratified media,” Phys. Rev. A 40, 6014–6020 (1989).
  21. E. Santamato, G. Abbate, P. Maddalena, and L. Marrucci, “Lagrangian approach to light propagation in liquid crystals,” Phys. Rev. E 52, 5053–5059 (1995).
  22. D. W. Berreman, “Optics in stratified and anisotropic media: 4 × 4 matrix formulation,” J. Opt. Soc. Am. 62, 502–510 (1972).

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