Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic materials. The winning integral equation turns out to be entirely free from false eigenwavenumbers for any passive materials, also for purely negative permittivity ratios and in the static limit, as well as free from false essential spectrum on non-smooth surfaces. It also appears to be numerically competitive to all other available integral equation reformulations of the Maxwell transmission problem, despite using eight scalar surface densities.

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麦克斯韦传输问题的积分方程与一般介电常数的比较

通过对非磁性材料的简单连接的轴对称域的数值测试，比较了麦克斯韦传输问题的两个最近推导出的积分方程。结果证明，获胜积分方程完全没有任何无源材料的假本征波数，也没有纯负介电常数比和静态极限，以及在非光滑表面上没有假本征谱。尽管使用了八个标量表面密度，但它似乎在数值上与麦克斯韦传输问题的所有其他可用积分方程重构相比具有竞争力。