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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 9 — Sep. 1, 2004
  • pp: 1740–1749

Calculation of radiation modes by the Lanczos–Fourier expansion

Nikolaos F. Dasyras, Ioannis G. Tigelis, Andreas D. Tsigopoulos, and Alexander B. Manenkov  »View Author Affiliations


JOSA A, Vol. 21, Issue 9, pp. 1740-1749 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001740


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Abstract

For construction of the TE radiation modes of planar waveguides several methods are employed that are based on collocation techniques. The field representation in the core is based on the Lanczos–Fourier sinusoidal series. The numerical codes are very simple and give accurate results. The validity of these methods is checked for constant refractive-index profiles, while numerical results are also given for parabolic profiles. Furthermore, the validity of the orthogonality condition between the guided and the radiation modes is checked. These methods are demonstrated to be effective and can also be employed to study the TM case and waveguides of lossy media, as well as anisotropic and chiral structures.

© 2004 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.7390) Optical devices : Waveguides, planar
(230.7400) Optical devices : Waveguides, slab
(260.1180) Physical optics : Crystal optics
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: January 12, 2004
Revised Manuscript: April 19, 2004
Manuscript Accepted: April 19, 2004
Published: September 1, 2004

Citation
Nikolaos F. Dasyras, Ioannis G. Tigelis, Andreas D. Tsigopoulos, and Alexander B. Manenkov, "Calculation of radiation modes by the Lanczos–Fourier expansion," J. Opt. Soc. Am. A 21, 1740-1749 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-9-1740

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