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Theoretically obtained dispersion characteristics of an annular waveguide with a guiding region cross section bounded by two hypocycloidal loops
Author(s) -
Singh Vivek,
Prasad B.,
Ojha S. P.
Publication year - 2003
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.10849
Subject(s) - bounded function , dispersion (optics) , square (algebra) , microwave , section (typography) , cross section (physics) , modal , waveguide , geometry , modal dispersion , optics , physics , mathematical analysis , mathematics , materials science , computer science , quantum mechanics , optical fiber , fiber optic sensor , dispersion shifted fiber , polymer chemistry , operating system
This article presents a theoretical analysis of the modal dispersion curves of an annular waveguide with a core cross section bounded by two hypocycloids. This cross section can be conceived as having the shape of a distorted annular square and leads to a tolerance study of deformation in an annular square waveguide. We take a new and appropriate coordinate system (ξ, η, z ) for the proposed geometry and impose boundary conditions under the weak guidance approximation. The characteristic equation is then derived analytically. Finally, we show some numerical results in the form of modal dispersion curves. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 37: 142–145, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10849