Determination of modes of elliptical waveguides with ellipse transformation perturbation theory
Author(s) -
Aku Antikainen,
René-Jean Essiambre,
Govind P. Agrawal
Publication year - 2017
Publication title -
optica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.074
H-Index - 107
ISSN - 2334-2536
DOI - 10.1364/optica.4.001510
Subject(s) - ellipse , modal , mathieu function , multi mode optical fiber , birefringence , optics , transformation optics , single mode optical fiber , transformation (genetics) , fabrication , physics , optical fiber , mathematical analysis , materials science , mathematics , geometry , metamaterial , biochemistry , chemistry , gene , medicine , alternative medicine , pathology , polymer chemistry
All optical fibers, including single-mode, multimode, and multicore fibers, exhibit some degree of birefringence, either purposely, such as in polarization-maintaining fibers, or inadvertently due to material or fabrication imperfections. Finding a low-complexity method to accurately calculate the modal characteristics of elliptical fibers has been a long-standing problem. We present a novel accurate perturbative method that avoids the difficulties associated with the traditional Mathieu function treatment. The method is also applicable to a broader class of oscillating systems with elliptical geometry.
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