斜入射下分段常数非均匀圆柱体的直接电磁散射问题
The direct electromagnetic scattering problem by a piecewise constant inhomogeneous cylinder at oblique incidence
AI总结：
本文研究斜入射时谐电磁波被分段常数非均匀可穿透无限长圆柱体散射的直接问题，利用边值算子性质和积分方程方法证明了解的存在唯一性，并通过配点法与求积规则逼近奇异积分算子，证明了数值格式在近场和远场中对内部场和散射场的收敛性。
摘要：
我们考虑斜入射时谐电磁波被分段常数非均匀、可穿透且无限长圆柱体散射的直接散射问题的可解性。利用边值算子的性质和积分方程方法，我们证明了解的存在性和唯一性。对于数值求解，我们采用配点法，并使用求积规则逼近奇异积分算子。我们证明了该数值格式在近场和远场区域中对内部场和散射场均具有收敛性。
英文摘要：
We consider the solvability of the direct scattering problem of an obliquely incident time-harmonic electromagnetic wave by a piecewise constant inhomogeneous, penetrable and infinitely long cylinder. We prove the existence and uniqueness of the solution using properties of the boundary value operators and the integral equation method. For the numerical solution, we apply a collocation method and we approximate the singular integral operators using quadrature rules. We show convergence of the numerical scheme for the interior and the scattered fields both in the near- and far-field regime.
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