Optical and Quantum Electronics

, Volume 32, Issue 6, pp 971–980

Generalized source method: New possibilities for waveguide and grating problems

  • A.V. Tishchenko

DOI: 10.1023/A:1007043318619

Cite this article as:
Tishchenko, A. Optical and Quantum Electronics (2000) 32: 971. doi:10.1023/A:1007043318619


A new, general and exact method for resolving waveguide and grating problems is presented whereby the unknown electric field in a given dielectric distribution in the presence of an arbitrary source distribution can be obtained exactly from the known complete electric field solution in a simpler dielectric structure in the presence of the same source distribution. The method can be used in the form of an iterative scheme. The solution can also be obtained through an implicit equation which can be solved numerically without convergence problem by matrix inversion. The application of the method to the case of abnormal reflection under normal incidence from a segmented waveguide is given as an example.

electric fieldgratingwaveguide

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • A.V. Tishchenko
    • 1
  1. 1.General Physics InstituteMoscowRussia