DocumentCode :
1723869
Title :
Modified Airy function solutions to optical waveguide problems
Author :
Goyal, I.C.
Author_Institution :
Dept. of Phys., Indian Inst. of Technol., New Delhi, India
Volume :
1
fYear :
2002
fDate :
6/24/1905 12:00:00 AM
Firstpage :
155
Abstract :
Modified Airy function (MAF) method gives an approximate solution of the wave equation for planar waveguides with an arbitrary refractive index distribution. Unlike WKB method, the MAF solution does not diverge at the turning points and there is no need of connection formulae. Comparison with exact results for practical wave guides show that the errors in MAF solutions are small. Use of a first order perturbation theory together with the MAF solution reduces very much the error in the eigenvalues. It has been shown that an improvement of the method gives almost exact eigenvalues and the eigenfunctions. Though the method will be illustrated with examples of optical wave-guides, it is equally applicable to problems in quantum mechanics and other areas of physics and engineering.
Keywords :
eigenvalues and eigenfunctions; error analysis; optical waveguide theory; refractive index; MAF solution; approximate solution; arbitrary refractive index distribution; eigenfunctions; eigenvalues; modified Airy function solutions; optical waveguide problems; perturbation theory; planar waveguides; wave equation; Eigenvalues and eigenfunctions; Optical planar waveguides; Optical refraction; Optical variables control; Optical waveguides; Partial differential equations; Planar waveguides; Quantum mechanics; Refractive index; Turning;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Transparent Optical Networks, 2002. Proceedings of the 2002 4th International Conference on
Print_ISBN :
0-7803-7375-8
Type :
conf
DOI :
10.1109/ICTON.2002.1009535
Filename :
1009535
Link To Document :
بازگشت