Waveguide taper engineering using coordinate transformation technology
Paul-Henri Tichit, Shah Nawaz Burokur, Andre de Lustrac

TL;DR
This paper introduces a method for designing waveguide tapers using coordinate transformation technology, enabling complex electromagnetic structures with feasible material parameters demonstrated through simulations.
Contribution
It presents three novel coordinate transformations for waveguide taper design and provides a parametric study with achievable metamaterial parameters.
Findings
Successful design of waveguide tapers using coordinate transformations
Finite element simulations confirm the effectiveness of the proposed structures
Identifies feasible permittivity and permeability values with existing metamaterials
Abstract
Spatial coordinate transformation is a suitable tool for the design of complex electromagnetic structures. In this paper, we define three spatial coordinate transformations which show the possibility of designing a taper between two different waveguides. A parametric study is presented for the three transformations and we propose achievable values of permittivity and permeability that can be obtained with existing metamaterials. The performances of such defined structures are demonstrated by finite element numerical simulations.
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