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Weak guidance analysis of the modal characteristics and waveguide dispersion of a new lightguide with a lemniscate of Bernoulli‐type core cross section
Author(s) -
Singh Vivek,
Prasad B.,
Ojha S. P.
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.10134
Subject(s) - cladding (metalworking) , modal , eigenvalues and eigenvectors , propagation constant , bernoulli's principle , mathematical analysis , mathematics , microwave , section (typography) , scalar (mathematics) , type (biology) , cross section (physics) , characteristic equation , physics , geometry , optics , quantum mechanics , chemistry , differential equation , computer science , polymer chemistry , thermodynamics , ecology , biology , operating system
The purpose of this paper is to introduce a simple analytical technique based on scalar‐wave approximation to study the modal characteristics of a new lightguide having a lemniscate of Bernoulli‐type core cross section. This type of structure may be conceived as a practical situation wherein two cores are embedded in a common cladding. Using lemniscate cylindrical coordinates (ξ, η, z) and the weak guidance boundary conditions, the eigenvalue equation is derived. From this equation, the characteristic curves have been obtained and plotted for some low‐order modes (ν=0). Furthermore, denoting the normalized frequency parameter as ν and the normalized propagation constant as b′, the variation (d(Vb′)/dV) is also obtained and analyzed. © 2002 John Wiley & Sons, Inc. Microwave Opt Technol Lett 32: 211–216, 2002.