Title :
Study of eigen value equation of hyperbolic waveguide under slow wave consideration
Author :
Kumar, Deepak ; Pillay, Shamini ; Abdul-Rashid, H.A.
Author_Institution :
Fac. of Eng., Multimedia Univ., Cyberjaya, Malaysia
Abstract :
The modal characteristics of a step-index waveguide with a hyperbolic core-cladding boundary have been studied. For the study of this new waveguide we select an elliptical coordinate system ,so that cross-sectional boundary is represented by a hyperbola .Using suitable boundary condition, and the field components,determined for a fourth order determinantal characteristic equation is obtained. The characteristic equation involve modified Mathieu functions, Mathieu functions and their derivative.
Keywords :
eigenvalues and eigenfunctions; optical fibre cladding; cross-sectional boundary; eigenvalue equation; elliptical coordinate system; hyperbolic core-cladding boundary; hyperbolic waveguide; modified Mathieu functions; slow wave consideration; step-index waveguide; Electrooptical waveguides; Vectors; elliptical coordinate sysyem; hyperbolic waveguide; modified mathieu functions;
Conference_Titel :
Photonics (ICP), 2011 IEEE 2nd International Conference on
Conference_Location :
Kata Kinabalu
Print_ISBN :
978-1-61284-265-3
Electronic_ISBN :
978-1-61284-263-9
DOI :
10.1109/ICP.2011.6106876
