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Electromagnetic scattering by a periodic array of thick-walled parallel plate waveguides

Tasinkevych Y.

Journal of Technical Physics

2009

Vol. 50, no 1

41-53

Electromagnetic wave scattering by a periodic array of semi-infinite thick-walled parallel plate waveguides is studied in this paper. The cases of TE and TM polarization of an incident plane harmonic wave are considered separately. The scattered field above the waveguides is sought in the form of a series of spatial harmonics in accordance with the Floquet's theorem, whereas in the waveguide regions it is sought in the form of parallel plate waveguide modes. To satisfy the boundary and edge conditions by field components in the free space above the array, the Fourier expansion for spatial harmonics amplitudes with corresponding coefficients, being properly chosen Legendre functions, is exploited. The unknown coefficients are the solutions of certain doubly infinite systems of linear equations. The approximate solution is found numerically.

Plane wave scattering by an infinite array of semi-infinite thick plates

Tasinkevych Y.

Journal of Technical Physics

2007

Vol. 48, no 3-4

147-162

The problem of plane electromagnetic wave scattering by periodic system of semi-infinite thick plates of rectangular shape is solved in this paper. The case of TM-polarization is considered in this paper. The field distribution in the free space region above the plates is found in the form of series of spatial harmonics in accordance with the Floquet's theorem. In the plate region the field is found in the form of parallel-plate waveguide modes. The continuity condition for tangential components of electric and magnetic field vectors is applied in order to find unknown partial wave amplitudes. To satisfy the boundary conditions and the singular behavior of the electric field vector near the plate edges, the use is made of the known properties of certain Fourier expansion with corresponding coefficients being properly chosen Legendre functions. The final rigorous solution is given in the form of infinite series of spatial harmonics with unknown coefficients being the solution of the corresponding doubly infinite system of linear equations which can be solved only numerically.

Scattering by a slit in an infinite conducting screen.

Hayat T., Ayub M., Farid T.

Optica Applicata

2001

Vol. 31, nr 3

635-642

Cylindrical wave diffraction by a slit in an infinite, plane, perfectly conducting barrier in a homogeneous biisotropic medium is investigated. The source point is assumed far from the slit so that the incident cylindrical wave is locally plane. The slit is wide and the barrier thin, both with respect to wavelength. The boundary value problem is reduced to a Wiener-Hopf equation and solved approximately