Advanced mode solver using an integral equation technique and entire domain plane wave basis functions

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Advanced mode solver using an integral equation technique and entire domain plane wave basis functions (EN)

Athanasoulias, GB (EN)
Polychronopoulos, SJ (EN)
Uzunoglu, NK (EN)

N/A (EN)

This work deals with the analysis and modelling of optical and millimetre-wave integrated circuits. The mathematical formulation is based on the method of integral equations, which are subsequently solved numerically by employing Galerkin's technique. The novel concept in this work lies with the development of a set of entire domain basis functions used to expand the unknown electric field in the waveguides' cross-sections. These functions have the simple form of plane waves and satisfy Maxwell's equations, therefore representing a proper expansion mechanism. As a demonstration of the developed computer code, configurations of single and coupled rectangular dielectric waveguides in a wide variety of open and closed substrate geometries are examined. The results presented, concerning the dispersion curves and the field patterns, give excellent agreement with published results of other methods. Furthermore, attenuation constants of lossy waveguides are numerically investigated. The main conclusion of the research presented in this contribution is that the entire domain plane wave basis functions (PWBFs) introduced provide a powerful tool for the unified modelling of a wide class of optical and millimetre-wave transmission lines. (EN)


Millimeter wave devices (EN)
Transmission Line (EN)
Rectangular waveguides (EN)
Maxwell equations (EN)
Dielectric waveguides (EN)
Dispersion Curve (EN)
Plane wave basis functions (EN)
Integral Equation (EN)
Integral equations (EN)
Electric Field (EN)
Waveguide mode calculations (EN)
Integrated Circuit (EN)
Approximation theory (EN)
Mathematical models (EN)
Cross Section (EN)
Plane Waves (EN)
Electric fields (EN)
Dielectric Waveguide (EN)
Galerkin's technique (EN)
Electric losses (EN)
Numerical analysis (EN)
Integrated optoelectronics (EN)
Analysis and Modelling (EN)
Electromagnetic dispersion (EN)
Satisfiability (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Optical and Quantum Electronics (EN)



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