Premium
Modal analysis of a dielectric waveguide with planar guiding–nonguiding boundaries with a flare in the direction of propagation
Author(s) -
Singh D. B.,
Khastgir P.,
Singh U. K.,
Singh O. N.
Publication year - 1998
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(19980420)17:6<394::aid-mop14>3.0.co;2-0
Subject(s) - physics , modal , flare , modal analysis , waveguide , bounding overwatch , computation , attenuation , bounded function , planar , microwave , mathematical analysis , optics , classical mechanics , geometry , acoustics , mathematics , computer science , quantum mechanics , algorithm , materials science , computer graphics (images) , polymer chemistry , vibration , artificial intelligence , astrophysics
We make an analytical study of the modal characteristic equation of a slab waveguide with a flare bounded by two planes. We choose cylindrical polar coordinates (ρ, ϕ, z ), and assume that the two bounding planes are extended infinitely in the z ‐direction, and are represented by ϕ=ϕ 1 and ϕ=ϕ 2 so that ϕ 2 −ϕ 1 is very small. The field in the z ‐direction is assumed to be uniform, and we consider propagation along the ρ‐direction. Using the weak guidance approximation, the characteristic equation is obtained. Numerical computations show that only one global mode can be sustained in such a structure for the model ν=0, corresponding to the coordinate ϕ. There is an attenuation in this supported mode, and this is because of the flare. © 1998 John Wiley & Sons, Inc. Microwave Opt Technol Lett 17: 394–398, 1998.