Analytical calculations in maple to implement the method of adiabatic modes for modelling smoothly irregular integrated optical waveguide structures

This paper presents analytical calculations in CAS Maple. The calculations are used for the method of adiabatic waveguide modes, applied in mathematical modeling of smoothly irregular integrated-optical waveguides. Such structures drew researchers' attention at the end of the 20th century, when several models were proposed to describe the coherent laser radiation in such structures. But these models could not adequately characterize the phenomena of depolarization and hybridization of guided modes. The proposed model of adiabatic waveguide modes, on the contrary, describes these experimentally observed phenomena, but on the other hand, we have more complicated analytical expressions. So we have developed a special program in Maple to computerize analytical calculations. The program is presented in this work. © 2014 Springer International Publishing.

Language
English
Pages
419-431
Status
Published
Volume
8660 LNCS
Year
2014
Organizations
  • 1 Joint Institute for Nuclear Research, 143500, Dubna, Russian Federation
  • 2 People Friendship University of Russia, 117198 Moscow, Russian Federation
Keywords
adiabatic waveguide modes; analytical calculations; integrated optics; numerical modeling; thin-film waveguide Luneburg lens; waveguide modes
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4977/
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