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Modal analysis and dispersion curves of an annular waveguide having a guiding‐region cross section bounded by two lemniscates of Bernoulli
Author(s) -
Singh Vivek,
Prasad B.,
Ojha S. P.
Publication year - 2000
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 - 10.1002/1098-2760(20010105)28:1<75::aid-mop21>3.0.co;2-4
Subject(s) - bounded function , bernoulli's principle , modal , dispersion (optics) , modal dispersion , section (typography) , eigenvalues and eigenvectors , mathematical analysis , cross section (physics) , microwave , modal analysis , coordinate system , physics , geometry , mathematics , waveguide , boundary (topology) , optics , acoustics , materials science , computer science , vibration , quantum mechanics , optical fiber , fiber optic sensor , dispersion shifted fiber , polymer chemistry , thermodynamics , operating system
The paper presents the modal properties and dispersion curves of a new annular lightguide with a guiding‐region cross section bounded by two lemniscates of Bernoulli. We consider a new coordinate system (ξ, η, z ) appropriate for the proposed structure. Using this coordinate system and the boundary conditions of the guide under weak guidance approximation, the eigenvalue equation is derived analytically. The dispersion curves for some low‐order modes are then obtained. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 28: 75–78, 2001.