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Proceedings Paper

Polynomial expansion for extraction of eigenmodes in layered waveguides
Author(s): Khashayar Mehrany; Bizhan Rashidian
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Paper Abstract

In this article, polynomial expansion approach for extraction of guided and leaky modes in layered waveguides in which loss and gain can be present simultaneously is proposed. To verify the method, results of analysis of a typical test case have been compared to the other references, proving a good agreement. Polynomial expansion is a nonharmonic expansion and does not involve harmonic functions or intrinsic modes of homogenous layers. This approach has the benefit of leading to algebraic dispersion equations rather than transcendental dispersion equation; therefore, it will be easier to solve compared with other methods such as argument principle method (APM), reflection pole method (RPM) or wavevector density method (WDM), which are solving the transcendental equation via integral methods. Besides, algebraic dispersion equation will be obtained without any numerical stability problem, while ordinary transcendental dispersion equation, which is usually derived by transfer matrix method, is difficult to obtain due to stability problem in multiplying transfer matrices.

Paper Details

Date Published: 17 February 2003
PDF: 7 pages
Proc. SPIE 4833, Applications of Photonic Technology 5, (17 February 2003); doi: 10.1117/12.474744
Show Author Affiliations
Khashayar Mehrany, Sharif Univ. of Technology (Iran)
Bizhan Rashidian, Sharif Univ. of Technology (Iran)


Published in SPIE Proceedings Vol. 4833:
Applications of Photonic Technology 5

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