Theoretical seminar | 05 April 2023

General and Theoretical Electrical Engineering, Faculty of Engineering, University of Duisburg-Essen and CENIDE - Center for Nanointegration Duisburg-Essen, D-47048 Duisburg, Germany
A full wave numerical approach for complex and leaky waves in periodic and bandgap structures and its application in millimeter-wave and optical devices

A very efficient and accurate method is proposed to evaluate the bound and complex waves in 2-D periodic waveguides. The method is based on lattice sums (LSs) technique. LSs are the series involving Hankel functions of arbitrary order, which are not convergent for complex wavenumbers. It is shown that by extending Ewald representations to higher order Hankel functions, the LSs can be expressed in terms of spatial and spectral series, granting Gaussian convergence even in the case of complex and leaky waves. The presented LS formalism is numerically slim, very fast, and thus well suited for the analysis of a significant class of lossy periodic waveguides and leaky-wave antennas. Its application in millimeter-wave (directive wideband antenna design) and optical devices (optical logic gates) is discussed.

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