Publication:
An analysis of the modal field in absorbing optical waveguides and some useful approximations

Loading...
Thumbnail Image
Full text at PDC
Publication Date
1989-05-14
Authors
Lakshminarayanan, Vasudevan
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
The authors present a mathematically exact formulation of the initial field striking the aperture of an absorbing optical waveguide, via an integral equation description. An analysis of the residual scattering by the waveguide is presented. Because of the presence of the non-negligible absorption coefficient, the solution for the fraction of the confined power is obtained by performing non-trivial integrations of Bessel and Hankel functions with complex arguments. In order to carry out a numerical analysis a specific computational method is applied by using an approximated polynomial expansion whose validity is also discussed.
Description
@ 1989 IOP Publishing Ltd. MLC wants to thank the US-Spanish Joint Committee for Scientific and Technological Cooperation for financial support. This work was supported in part by a National Eye Institute granEtY 03674 from the National Institutes of Health, Bethesda, MD. We also acknowledge the interest and support of J M Enoch. Thanks also to Christina Vigil for working on the manuscript.
Keywords
Citation
1. Abramowitz M and Stegun I (ed.) 1972 Handbook of Mathematical Functions (New York: Dover) 9th edn. 2. Álvarez-Estrada R F and Calvo M L 1984 J. Phys. D: Appl. Phys. 17 475. 3. Álvarez-Estrada R F, Calvo M L and Juncos P 1980 Opt. Acta 27 1367. 4. 1954 Bateman Manuscript, Tables of Integral Transforms vol 2 (New York: McGraw-Hill) p 90. 5. Calvo M L and Durán A 1975 Nuovo Cimento B 29 277. 6. Calvo M L and Lakshminarayanan V 1987 J. Opt. Soc. Am. A 4 1037. 7. Crow J D, Borrelli N F, Seward T P III and Chodak J 1975 Appl. Opt. 14 580. 8. Enoch J M and Tobey F L Jr (ed.) 1981 Vertebrate Photoreceptor Optics (Berlin: Springer). 9. Harosi F I 1981 Microspectrophotometry and optical phenomena Birefringence, dichroism and anomalous dispersion Vertebrate Photoreceptor Optics ed J M Enoch and F L Tobey Jr (Berlin: Springer) ch 9. 10. Lakshminarayanan V and Calvo M L 1987 J. Opt. Soc. Am. A 4 2133. 11. Marcuse D 1972 Light Transmission Optics (New York: Van Nostrand). 12. Mattern P L, Watkins L M, Skoog C D, Brandon J R and Bargis E H 1974 IEEE Trans. Nucl. Sci. NS-21 81. 13. Morse P M and Feshbach H 1953 Methods of Theoretical Physics vol 1 (New York: McGraw-Hill). 14. National Bureau of Standards 1943 Table of the Bessel Functions J0(z) and J1(z) for Complex Argument (New York: NBS, Columbia University). 15. Pask C and Barrell K F 1981 Biol. Cyb. 36 1. 16. Snyder A W 1969 IEEE Trans. Microwave Theory and Tech. MTT-17 1138. 17. Snyder A W and Love J D 1983 Optical Waveguide Theory (London: Chapman and Hall). 18. Watson G N 1942 A Treatise on the Theory of Bessel Functions (London: Cambridge University) 2nd edn .
Collections