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Phase function of a spherical particle when scattering an inhomogeneous plane electromagnetic wave

  • Jeppe Frisvad
  • received 10/11/2017; accepted 02/27/2018; posted 03/01/2018; Doc. ID 308756
  • Abstract: In absorbing media, electromagnetic plane waves are most often inhomogeneous. Existing solutions for the scattering of an inhomogeneous plane wave by a spherical particle provide no explicit expressions for the scattering components. In addition, current analytical solutions require evaluation of a series expansion of infinite sums. It is much more computationally attractive to evaluate just a series expansion of finite sums with few terms. In this work, I develop such a new and much simpler solution. It is similar to the solution for homogeneous plane waves but with new explicit expressions for the angular dependency of the scattering components. I include recurrence formulae for practical evaluation and provide numerical examples to verify that the new expressions match the theory of homogeneous waves when the inhomogeneity of the incident wave is set to zero. The predicted difference in the scattering phase function due to inhomogeneity is not negligible for light entering an absorbing medium at an oblique angle. The presented theory could thus be useful for predicting scattering behavior in dye based random lasing and in solar cell absorption enhancement.
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