Analytic methods for solving the cylindrical nonlinear Maxwell equations

作者：Hu, Liang; Zhao, Dazhi; Wan, Xun; Luo, Maokang^*

来源：Optik, 2018, 170: 287-294.

DOI：10.1016/j.ijleo.2018.03.083

• Nonlinear Maxwell equations
• Exact solutions
• Harmonic generation
• Sum- and difference-frequency generation

Cylindrical electromagnetic waves propagation in inhomogeneous and nonlinear media is of great interest for theory and application, and is an extremely complicated problem which can be described by the cylindrical nonlinear Maxwell equations. In this paper, we propose a method to exactly solve the cylindrical Maxwell equations in various types of inhomogeneous nonlinear media without dispersion. The obtained solutions can be used to describe the evolution of nonlinear oscillatory system and the interaction between two radiation waves in nonlinear media. We also show some nonlinear effects, such as second harmonic generation, and sum- and difference-frequency generation, result quite naturally from the solutions.

• 出版日期2018
• 单位中国工程物理研究院流体物理研究所; 四川大学; 核工业西南物理研究院; 中国工程物理研究院