Title
Mathematical modeling of irregular integrated optical waveguides
Abstract
The paper presents the formulation of the dispersion relations for regular planar waveguides and smoothly irregular integrated optical waveguides in forms of elementary continuous functions. The stable algorithm for computing the roots of the dispersion relations for regular and irregular waveguides, which is applicable in the case of real and complex coefficients of the phase retardation of waveguide modes, is developed. The theoretical and numerical method for studying the characteristics of inhomogeneous waveguide modes in the overcritical regimes is elaborated. In contrast to the zero approximation of the adiabatic modes method, and moreover to the method of comparison waveguides, the fields of irregular waveguide modes of an integrated optical waveguide in the first approximation are described by a pair of equations of coupled oscillators allowing resonance solutions.
Year
DOI
Venue
2011
10.1007/978-3-642-28212-6_12
MMCP
Keywords
Field
DocType
mathematical modeling,regular planar waveguides,optical waveguides,waveguide mode,adiabatic modes method,irregular waveguides,inhomogeneous waveguide mode,irregular integrated optical waveguides,dispersion relation,comparison waveguides,integrated optical waveguide,irregular waveguide mode
Adiabatic process,Oscillation,Dispersion relation,Waveguide (optics),Mathematical analysis,Waveguide,Optics,Waveguide (electromagnetism),Planar,Numerical analysis,Mathematics
Conference
Citations 
PageRank 
References 
1
0.70
1
Authors
5
Name
Order
Citations
PageRank
e a ayryan110.70
alexander a egorov210.70
l a sevastyanov373.09
konstantin p lovetskiy410.70
a l sevastyanov510.70