Coupling coefficient of two rotated cylindrical dielectric resonators disposed in free space

Abstract

The coupled-mode theory is an established and important tool in the electromagnetic theory which describes the exchange of energy between modes of a given system. In the framework of this theory, the coupling coefficient is the main parameter that quantifies the intermode interaction strength. In this paper, we introduce practical formulas for calculating the mutual coupling coefficient between two cylindrical dielectric resonators arbitrarily oriented in free space relative to each other. The correctness of the solution is validated against the full-wave numerical simulations performed with the COMSOL Multiphysics electromagnetic solver. In particular, the obtained formulas are suitable to analyze the gain/directivity and transmission/reflection properties of dielectric antennas and metasurfaces consisting of a large but finite number of dielectric resonators.

Keywords:

• Dielectric resonators
• coupled mode theory
• numerical simulation

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

National Key Research and Development Program of China (2018YFE0119900).

Notes on contributors

Anton S. Kupriianov

Anton S. Kupriianov is a Ph.D. student of Jilin University, Department of Applied Physics, China.

Alexander Trubin

Alexander Trubin is a professor of the Institute of Telecommunication Systems of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine.

Vladimir R. Tuz

Vladimir R.Tuz is a professor in State Key Laboratory on Integrated Optoelectronics, College of Electronic Science and Engineering, professorial research fellow in International Center of Future Science, Jilin University, China, and a principal research fellow in School of Radiophysics, Biomedical Electronics and Computer Systems, V. N. Karazin Kharkiv National University, Ukraine.