The Kobayashi potential in electromagnetic theory is reviewed. As an illustration we consider two problems, diffraction of plane wave by disk and rectangular plate of perfect conductor. Some numerical results are compared with approximated and experimental results when they are available to verify the validity of the present method. We think the present method can be used as reference solutions...

An interpretation of focusing and image formation on scattering of electromagnetic waves by a dielectric cylinder (a cylindrical lens) is proposed on the basis of the full Maxwell theory. It is centered on analysis of the behavior of integral curves of the Poynting vector here called wave rays. These wave rays cannot intersect so that the focusing and imaging spots are identified with regions o...

Diffraction gratings are often used in optical metrology. When an electromagnetic wave is incident on a grating, the periodicity of the grating causes a multiplicity of diffraction orders. In many metrology applications one needs to know the diffraction efficiency of these orders. Since the period of a grating is often of the same order of magnitude as the wavelength, it is needed to solve Maxw...

The problem of diffraction a TE-polarized electromagnetic wave by circular slotted cylinder is investigated. boundary value in question for the Helmholtz equation reduced to an infinite system linear algebraic equations second kind (SLAE-II) using integral summation identities (ISI). A detailed study matrix operator performed and its Fredholm property weighted Hilbert space sequences proven. co...

Vectorial relations of field amplitudes are derived from the Lorentz lemma applied to electromagnetic fields at direct and reversed scenarios of a wave diffraction on a doubly-periodic planar array. Biorthogonality of polarization eigenstates of the waves propagating in opposite directions is shown with reference to a wave channel formed by an incident wave and a diffraction order. For a planar...

The scattering of the electromagnetic field from a half wave dipole source around a quarterplane can be calculated from the solutions to two scalar problems, one with a soft quarterplane and one with a hard quarterplane. In both cases, a doubly diffracted ray may exist, but only in the case of the hard quarterplane does this present a problem. The paper develops the necessary transition functio...

When a monochromatic electromagnetic plane wave is incident on an infinitely extending surface with the translation invariance property, a curious phenomenon often takes place at a low grazing angle of incidence, at which the total wave field vanishes and a dark shadow appears. This paper looks for physical and mathematical reasons why such a shadow occurs. Three cases are considered: wave refl...

Electromagnetic waves are studied with applications to microstrip antennas, 1'2 geophysical subsurface probing,3' 4 scattering from helical structures5 '6 and Smith-Purcell radiation from metallic gratings.7 Radiation and resonance characteristics of two coupled circular microstrip disk antennas are studied rigorously using numerical techniques, matched asymptotic analysis, and the newly develo...

Diffraction of an electromagnetic plane wave from a slit in an impedance plane has been presented. The method is based on Maliuzhinets technique for impedance surfaces. Comparison of the field patterns with different values of the face impedance are also presented.