6533b7d1fe1ef96bd125c154
RESEARCH PRODUCT
Efficient formulation of Multimode Equivalent Networks for 2-D waveguide steps through Kummer's transformation
Vicente Enrique Boria EsbertCelia Gomez MolinaFernando Daniel Quesada PereiraMarco GuglielmiAlejandro ÁLvarez Melcónsubject
Multi-mode optical fiberComputationMathematical analysis020206 networking & telecommunications02 engineering and technologysymbols.namesakeTransformation (function)Kernel (statistics)Convergence (routing)0202 electrical engineering electronic engineering information engineeringTaylor seriessymbolsApplied mathematicsWaveguide (acoustics)Representation (mathematics)Mathematicsdescription
In this paper we present a new and improved formulation for the Multimode Equivalent Network (MEN) representation of arbitrary waveguide junctions. In the new formulation the Kummer's transformation is used to separate the kernel into dynamic and static parts, by introducing higher order extraction terms. The main difference with respect to the old formulation is that the approximation of the kernel is more accurate and the numerical computations are more efficient. In addition to theory, both formulations are compared in terms of efficiency and convergence thereby fully validating the proposed new formulation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-01 | 2017 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO) |