Browse > Article
http://dx.doi.org/10.3807/KJOP.2002.13.6.473

Leaky modes of circular slab waveguides: modified airy functions  

김경암 (서울시립대학교 전자전기컴퓨터공학부)
곽재곤 (서울시립대학교 전자전기컴퓨터공학부)
박권동 (서울시립대학교 전자전기컴퓨터공학부)
김창민 (서울시립대학교 전자전기컴퓨터공학부)
Publication Information
Korean Journal of Optics and Photonics / v.13, no.6, 2002 , pp. 473-478 More about this Journal
Abstract
Circular slab waveguides are conformally mapped into straight waveguides. In the outer cladding region with monotonically increasing index profile, modified Airy functions (MAF) 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 WKB (Wentzel-Kramers-Brillouin) method. Detailed numerical examples are presented and compared with the conventional WKB methods, demonstrating our method not only allows a converging field at turning points but also guarantees fine accuracy.
Keywords
circular slab waveguides; bending loss; conformal mapping; WKB theory; airy functions.;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Bend loss of slab and fiber Modes computed with diffraction Theory /
[ D. Marcuse ] / IEEE J. Quantum Electronics   DOI   ScienceOn
2 Modal characteristics of bent dual mode planar optical waveguides /
[ A. Kumar;R. L. Gallawa;I. C. Goyal ] / IEEE J. Lightwave Technol.   DOI   ScienceOn
3 Modal field analysis of circularly bent single-mode fibers /
[ F. Wassmann ] / IEEE J. Lightwave Technol.   DOI   ScienceOn
4 /
[ M. Abramobitz;J. A. Stegun ] / Handbook of mathematical functions
5 Bends in optical dielectric guides /
[ E. A. J. Marcatili ] / Bell Syst. Tech. J.   DOI
6 Exact calculation of quasi-bound states of an isolated quantum well with uniform electric field: Quantum-well Stork resonance /
[ D. Ahn;S. L. Chung ] / Physical Review B   DOI   ScienceOn
7 /
[ D. Marcuse ] / Light transmission optics
8 Local field analysis of bent graded-index planar waveguides /
[ Y. Cheng;W. Lin;Y. Fujii ] / IEEE J. Lightwave Technol.   DOI   ScienceOn
9 Electromagnetic fields in circular bends of slab waveguide /
[ N. Morita ] / IEEE J. Lightwave Technol.   DOI   ScienceOn
10 Bending losses of coated single-mode fibers: A simple approach /
[ H. Renner ] / IEEE J. Lightwave Technol.   DOI   ScienceOn
11 Bent planar waveguides and whispering gallery modes: A new method of analysis /
[ I. C. Goyal;R. L. Gallawa;A. K. Ghatak ] / IEEE J. Lightwave Technol.   DOI   ScienceOn
12 On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order /
[ R. E. Langer ] / Trans. Amer. Nath. Soc.   DOI   ScienceOn
13 Analysis of curved optical wave-guides by conformal transformation /
[ M. Heiblum;J. H. Harris ] / IEEE J. Quantum. Electronics
14 WKB analysis of bend losses in optical waveguides /
[ W. Berglund;A. Gopinath ] / IEEE J. Lightwave Technol.   DOI   ScienceOn