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An analytical study of the cutoff conditions and the dispersion curves of a waveguide with a cross‐sectional shape resembling an ellipse compressed along the minor axis
Author(s) -
Singh Vivek,
Prasad B.,
Ojha S. P.
Publication year - 1999
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/(sici)1098-2760(19990920)22:6<426::aid-mop18>3.0.co;2-7
Subject(s) - ellipse , cutoff , cutoff frequency , dispersion (optics) , waveguide , modal , optics , modal dispersion , physics , microwave , mathematical analysis , modal analysis , characteristic equation , boundary value problem , mathematics , geometry , materials science , acoustics , differential equation , quantum mechanics , optical fiber , fiber optic sensor , dispersion shifted fiber , polymer chemistry , vibration
In this paper, we present an analytical study of the modal characteristics, cutoff conditions, and dispersion curves of a special type of an optical waveguide with a cross‐sectional shape resembling an ellipse compressed along the minor axis (ECMI). Using the boundary conditions for the proposed waveguide under weak guidance, the cutoff equation and the modal characteristic equation have been obtained. From the cutoff equation, we find the number of modes propagating for the guiding region. Also, from the modal characteristic equation, we obtain the dispersion curves for some low‐order modes. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 22: 426–429, 1999