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Modal characteristic equation and dispersion characteristics for an elliptical Bragg waveguide with a small number of claddings
Author(s) -
Prajapati Y.,
Singh Vivek,
Saini J.P.
Publication year - 2011
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.25863
Subject(s) - mathieu function , cladding (metalworking) , modal , optics , wavelength , physics , microwave , modal dispersion , birefringence , wave equation , modal analysis , materials science , mathematical analysis , mathematics , acoustics , optical fiber , fiber optic sensor , quantum mechanics , dispersion shifted fiber , polymer chemistry , metallurgy , vibration
This article presents a rigorous analytical treatment of electromagnetic wave propagation in a new type of Bragg waveguide having elliptical core cross‐section surrounded by Bragg cladding layers. Using Maxwell's equations in elliptical coordinates, the field components are obtained that specially incorporate Mathieu (q > 0) and the modified Mathieu functions (q < 0). Using this equation the modal dispersion curves for even guided modes are obtained and plotted for different cladding eccentricity e. It is found that the dispersion curves are discontinuous and modes can exist only in particular wavelength bands. Finally, the modal birefringence in the said waveguide is also estimated. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:932–938, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.25863