A new axis symmetric exact solution of the Maxwell's equations in a time-variant nonlinear medium

作者：Zhao, Dazhi; Luo, Maokang^*

来源：Journal of Electromagnetic Waves and Applications, 2016, 30(14): 1812-1819.

DOI：10.1080/09205071.2016.1216334

• Nonlinear Maxwell's equations
• exact solutions
• exponential nonlinearity
• cylindrical wave

A new explicit exact solution of the Maxwell's equations for cylindrical wave in a time-variant nonlinear medium where epsilon(E) = epsilon(0)epsilon(1)(r/R)(beta)h(t) exp (alpha E) is derived in this paper. We also prove that the solution seeking routine is effective for a large class of wave equations and exponential nonlinearity is necessary for additively separable solution. Physical interpretation of the additively separable solution is given too. Meanwhile, this method is valid if there exists a time-independent or a time-linear excited source.

• 出版日期2016
• 单位四川大学