Diffraction of plane waves from a strip grating on a ferrite substrate

Abstract

Diffraction of plane waves from a strip grating deposited on a magnetized ferrite substrate is studied analytically, with the incident electric field and biasing magnetic field assumed to be parallel to the edges of the strips, since the incident wave in these circumstances excites magnetostatic surface waves most strongly. Analytical complexity is concisely reduced to a nonreciprocal Riemann–Hilbert problem that is solved in a rigorous manner for an arbitrary incident angle. The numerical results show that a large number of scattering resonances occur in the short‐wavelength range owing to magnetostatic surface waves excited in the ferrite. The characteristics obtained here are asymmetric in the sense that the distribution of the scattering resonances is dependent on the sign of the incidence angle. For normal incidence, the asymmetry shows that the intensity of the reflected beam depends on the sign of its angle. © 1999 Scripta Technica, Electron Comm Jpn Pt 2, 82(7): 41–49, 1999

Resonant Diffraction From a Grating on a Paramagnetic Layer With Frequency Dispersion

“…The rest of the unknown complex amplitudes in all domains can be expressed in terms of x + n . The representation (5) indicates that the series in the right-hand side of system (4) is uniformly and rapidly convergent. Thus for the given problem the singularity (i.e., the slowly convergent series) of the problem operator is separated to the left-hand side of the equations, and the rapidly convergent series is on the right-hand side.…”

“…The ever growing demand for better operating characteristics, extended capabilities and new functions of today's microwave devices is the driving force behind the integration of composite materials in modern microwave technology. Although periodic structures such as diffraction gratings have a long history, their resonant behaviour in combination with composite media is rather novel and theoretically interesting as well as exciting for technological developments [5][6][7]. A rather novel study carried out in papers [8][9][10] has shown that the incident wave energy can be effectively absorbed in a resonant way by the structure consisting of a diffraction grating and absorbing medium with one of the constitutive parameters negative.…”

Resonance Wave Scattering by a Strip Grating Attached to a Ferromagnetic Medium

“…This method was helpful to work the diffraction by partially screened plasma cylinders [21][22][23] and also by a plane strip grating attached to a "cold" magnetoactive plasma [24]. The development of the regularization procedure, which represents the Riemann-Hilbert problem method extension, was the subject of works [25,26], where magnetostatic waves traveling along a strip grating laying on a ferrite layer boundary were treated.…”