"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 4, 2018

contents of issue      DOI  10.30898/1684-1719.2018.4.7     full text in Russian (pdf)  

Dispersion properties of electromagnetic waves on in-plane magnetized ferrite plate

Yu. I. Keller 1, P. A. Makarov 1, V. G. Shavrov 2, V. I. Shcheglov 2

1 Syktyvkar State University of Sorokin, Oktyabrskiy prosp. 55, Syktyvkar 167001, Russia

2 Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow 125009, Russia

 

 The paper is received on April 3, 2018

 

Abstract. On the basis of whole electrodynamics it is investigated the dispersion properties of electromagnetic waves propagating on in-plane magnetized ferrite plate having bigyrotropic properties. In Cartesian coordinate system it is written the formulas for dielectric and magnetic permittivity tensors by the condition of coincidence of gyrotropy axis both tensors. It is found the whole electrodynamics equations for the medium having gyromagnetic properties. It is found the united system containing from two connected second order equations having wave type. In the case when the field correspondence from the coordinate along gyrotropy axis is absent it is found two independent equations which describe two waves propagating along the normal direction to gyrotropy axis. The wave which has the perpendicular to gyrotropy axis components of electrical field determined by the magnetic field component which is parallel to gyrotropy axis is named as gyroelectric wave. The wave which has the perpendicular to gyrotropy axis components of magnetic field determined by the electric field component which is parallel to gyrotropy axis is named as gyromagnetic wave. In connection with the most role of ferrites in microwave engineering where the wave in majority has gyromagnetic character the follows investigation is devoted to properties gyromagnetic wave in exclusively. In geometry of in-plane magnetized ferrite plate it is investigated the whole wave equation and boundary conditions for gyromagnetic wave. By substitution the decision of wave equation to boundary conditions it is found the dispersion relation described through the wave vector components which are perpendicular to surface of magnetic plate. The starting dispersion relation is transformed to the form which structure is similar to Damon-Eshbach relation which connects the frequency with the wave number in the direction of wave propagation. It is shown that the parameters of received dispersion relation have specific character which is distinguished from Damon-Eshbach relation by presence some addition items which in magnetostatic approaching are absent. On the basis of received dispersion relation by numerical method by zero search it is constructed the dispersion curves for gyromagnetic wave in the whole frequency range from zero to infinity. It is shown that the magnetostatic approximation is coincided with the investigation in whole electrodynamics frames only in region of enough large wave numbers when the magnetostatic wave length is more less then the electromagnetic wave frequency on the same frequency. It is investigated the peculiarities of gyromagnetic wave dispersion in ferrite plate when wave number is small. It is shown that in the whole frequency region from zero to infinity there is the region where the character of gyromagnetic wave is surface and upper and lower of this region its character is volume. In the frame where the wave character is surface it is found two branches: low-frequency and high-frequency.

In this case the low-frequency branch coincides with Damon-Eshbach wave but the high-frequency branch in magnetostatic approximation is absent. It is investigated the deformation of dispersion curves in the case when dielectric permeability value is not equal to zero. It is found that by the dielectric permeability is increased there take place the appearing of some additional frequency branches of gyromagnetic waves having frequencies upper the both branches of surface waves.

Key words: equations of electrodynamics, magnetostatic approximation, bigyrotropic medium, gyromagnetic wave.

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For citation:
Yu. I. Keller, P. A. Makarov, V. G. Shavrov, V. I. Shcheglov. Dispersion properties of electromagnetic waves on in-plane magnetized ferrite plate. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2018. No. 4. Available at http://jre.cplire.ru/jre/apr18/7/text.pdf

DOI  10.30898/1684-1719.2018.4.7