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An analytical study of the power distribution patterns of silica waveguides with high parabolic cylindrical deformation
Author(s) -
Choudhury P. K.,
Lessard Roger A.
Publication year - 2001
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.10110
Subject(s) - waveguide , cross section (physics) , distribution (mathematics) , power (physics) , microwave , optics , refractive index , scalar (mathematics) , deformation (meteorology) , physics , field (mathematics) , modal , materials science , computational physics , geometry , mathematical analysis , mathematics , quantum mechanics , composite material , pure mathematics
Abstract An attempt is made to determine the relative power distribution in a step‐index parabolic cylindrical waveguide (PCW) with high deformation across the direction of propagation. The guide is assumed to be made of silica. The scalar field approximation is employed for the analysis under which a vanishing refractive‐index (RI) difference in the waveguide materials is considered. Further, no approximation for fields is used in the analytical treatment. Due to the geometry of such waveguides, PCWs lose the well‐defined modal discreteness, and a kind of mode bunching is observed instead, which becomes much more prominent in PCWs with high bends. However, with the increase in cross‐sectional size, the mode‐bunching tendency is slightly reduced. The general expressions for power in the guiding and nonguiding sections are obtained, and the fractional power patterns in all of the sections are presented for PCWs of various cross‐sectional dimensions. It is observed that the confinement of power in the core section is increased for PCWs of larger cross‐sectional size. Moreover, a fairly uniform distribution of power is seen over the modes having intermediate values of propagation constants. © 2002 John Wiley & Sons, Inc. Microwave Opt Technol Lett 32: 127–133, 2002.