Regular Article

Application of integral equation theory to analyze stability of electric field in multimode microwave heating cavity

¹ School of Electronics and Information Engineering, China West Normal University, Nanchong, China
² State Key Laboratory of Electromagnetic Environment, China Aerospace and Science Technology Corporation, Shanghai, China
³ College of Electronics and Information Engineering, Sichuan University, Chengdu, China

^* e-mail: zhengmtang@163.com

Received: 9 April 2017
Received in final form: 28 June 2017
Accepted: 21 August 2017
Published online: 10 October 2017

Abstract

Microwave heating uniformity is mainly dependent on and affected by electric field. However, little study has paid attention to its stability characteristics in multimode cavity. In this paper, this problem is studied by the theory of Freedholm integral equation. Firstly, Helmholtz equation and the electric dyadic Green’s function are used to derive the electric field integral equation. Then, the stability of electric field is demonstrated as the characteristics of solutions to Freedholm integral equation. Finally, the stability characteristics are obtained and verified by finite element calculation. This study not only can provide a comprehensive interpretation of electric field in multimode cavity but also help us make better use of microwave energy.