Scattering by a Set of Pseudochiral Cylinders Rafal Lech, Piotr Kowalczyk and Jerzy Mazur * Abstract: This paper presents the analysis of electromagnetic field scattering by a set of cylindri- cal objects made of pseudochiral material located in rectangular waveguide junctions and free space. Presented approach is based on the Iterative Scattering Procedure (ISP) and the orthogonal expansion method. Several numerical examples for open and closed problems were presented. 1. Introduction Pseudochiral Ω-media have recently generated considerable attention in the literature [1]-[8]. This type of medium can be obtained by inserting into a host medium Ω-shaped conducting microstructures where both loops and stamps lie in the same plane. In Ω-medium such effects as field displacement [2]-[4], and phase shift [3] have been reported and several possible applications such as reciprocal phase shifters [3] or four-port circulator [8] have been suggested. This paper presents the analysis of electromagnetic field scattering by a set of pseudochiral cylindrical objects located in rectangular waveguide junctions and free space. The cylinders are filled with an axially symmetric Ω-medium as shown in Fig. 1. This configuration was proposed by Saadoun in [2] as a structure which could have interesting properties in microwaves. Presented approach is based on the Iterative Scattering Procedure (ISP) [9] and allows to define the total scattered field from arbitrary configurations of cylinders. Frobenius method was utilized to solve differential wave equation. z f z a) b) r Fig. 1: The general configuration the investigated cylinder a) 3-D view; b) the medium orientation in the cross-section of the cylinder. 2. Formulation of the problem For the investigated case the Omega particles are arranged in the cylinder as shown in Fig. 1. Assuming the TM z excitation and homogeneity of the field along z the constitutive equations are of the form  D = ε 0 ε c  E + j Ω zφ  B (1)  B = μ 0 μ c  H - jμ 0 μ c Ω φz  E (2) The relative electric permittivity and magnetic permeability have dyadic form ε c = ε(  i ρ  i ρ +  i φ  i φ )+ ε z  i z  i z , μ c = μ(  i ρ  i ρ +  i z  i z )+ μ φ  i φ  i φ . The coupling dyadics are defined as follows Ω zφ =Ω c  i z  i φ Ω φz =Ω c  i φ  i z (3) The parameter Ω c is pseudochiral admittance and represents the coupling between electric and magnetic field along z and φ axes. Taking into account the above relations the constitutive equations take the form    D ρ = ε 0 εE ρ D φ = ε 0 εE φ D z = ε 0 ε z E z + j Ω c B φ    B ρ = μ 0 μH ρ B φ = μ 0 μ φ H φ - jμ 0 μ φ Ω c E z B z = μ 0 μH z (4) * The authors are with the Faculty of Electronics, Telecommunications and Informatics (ETI), Gdansk University of Technology (GUT), 80-952 Gdansk, Poland, e-mail: rlech@eti.pg.gda.pl, kowal@yapipapi.eti.pg.gda.pl and jem@pg.gda.pl J.Mazur is also with Telecommunication Research Institute, 233A J. Hallera str., 80-502 Gdansk, Poland