Abstract

In this article, the applicability of the Wentzel–Kramer–Brillouin (WKB) method in studying inhomogeneous dusty plasma is discussed. First the power transmission coefficient of electromagnetic waves in inhomogeneous dusty plasma is derived based on the WKB method. Then, the power transmission coefficients of the double exponential and hyperbolic electron number density distribution models are numerically simulated. The numerical results reveal that the power transmission coefficient increases with the increase of incident wave frequency. Furthermore, comparing the power transmission coefficient of the WKB method and the analytical method in common plasma and dusty plasma, it is found that the WKB method is more applicable for common plasma. Finally, the applicable region of the WKB method for dusty plasma is discussed. The results reveal that the electron number density distribution is crucial for the applicable region of the WKB method, as well as for the incident wave frequency.

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