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

Dazhi Zhao and Maokang Luo

Journal of Electromagnetic Waves and Applications, 2016, vol. 30, issue 14, 1812-1819

Abstract: A new explicit exact solution of the Maxwell’s equations for cylindrical wave in a time-variant nonlinear medium where ε(E)=ϵ0ε1(rR)βh(t)exp(αE)$ \varepsilon (E) = \epsilon _{0}\varepsilon _{1}(\frac{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.

Date: 2016
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DOI: 10.1080/09205071.2016.1216334

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