Title :
Leaky modes of circular slab waveguides: modified Airy functions
Author :
Kim, Chang-Min ; Kim, Young-Moon ; Kim, Woo-Kyung
Author_Institution :
Dept. of Electr. Eng., Univ. of Seoul, South Korea
Abstract :
Circular slab waveguides are conformally mapped into straight waveguides. In the outer cladding region with monotonously increasing index profile, modified Airy functions of traveling-wave form are introduced to express the leaky mode. Field distributions and losses calculated by the proposed method are compared with those obtained by the Wentzel-Kramers-Brillouin method.
Keywords :
WKB calculations; bending; circular waveguides; conformal mapping; eigenvalues and eigenfunctions; integrated optics; optical losses; optical waveguide theory; refractive index; Wentzel-Kramers-Brillouin method; bending loss; circular slab waveguides; conformal mapping; eigenvalue equations; equivalent index profile; field distributions; integrated optics; leaky modes; losses; modified Airy functions; monotonously increasing index profile; outer cladding region; straight waveguides; traveling-wave form Airy functions; Conformal mapping; Fourier transforms; Integrated optics; Optical losses; Optical waveguide theory; Optical waveguides; Partial differential equations; Planar waveguides; Slabs; Turning;
Journal_Title :
Selected Topics in Quantum Electronics, IEEE Journal of
DOI :
10.1109/JSTQE.2002.806671
