Scalar-field theory and 2-D ray theory for bent single-mode weakly guiding optical fibers
- 1 April 1985
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Journal of Lightwave Technology
- Vol. 3 (2) , 416-423
- https://doi.org/10.1109/jlt.1985.1074192
Abstract
A purely scalar theory is presented for bent single-mode, weakly guiding, optical fibers, leading to the well-known loss formula and also to simple analytical expressions for the radiating field and the evanescent field reflected by the caustic. It is also established that all these results can be derived from a simple two-dimensional (2-D) ray analysis of the cross-sectional field; the evanescent parts of the field are connected with real rays while the radiating part involves complex rays. Lastly, field-displacement effects are analyzed, within both the field theory and the ray analysis.Keywords
This publication has 10 references indexed in Scilit:
- Measurements of field deformations caused by bends in a single-mode optical fiberApplied Optics, 1983
- Curvature loss in multimode optical fibersJournal of the Optical Society of America, 1981
- Radiation from bends in optical waveguides: the volume-current methodIEE Journal on Microwaves, Optics and Acoustics, 1979
- Evanescent waves*Journal of the Optical Society of America, 1976
- Field deformation and loss caused by curvature of optical fibersJournal of the Optical Society of America, 1976
- Curvature loss formula for optical fibersJournal of the Optical Society of America, 1976
- Radiation from bent optical waveguidesElectronics Letters, 1975
- Perturbation theory of a doubly clad optical fiber with a low-index inner claddingIEEE Journal of Quantum Electronics, 1975
- Transverse Coupling in Fiber Optics Part III: Bending LossesBell System Technical Journal, 1974
- Uniform asymptotic expansions at a causticCommunications on Pure and Applied Mathematics, 1966