We study the problem of electromagnetic wave diffraction on a junction of two rectangular waveguides. The boundary value problem for the system of Maxwell equations is reduced to a vector pseudodifferential equation in special Sobolev spaces. Sufficient conditions are obtained for the existence of a unique solution of the boundary value problem and the integro-differential equation.

中文翻译：

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矩形波导结上波衍射问题的积分微分方程的可解性

我们研究了两个矩形波导结上的电磁波衍射问题。麦克斯韦方程组的边值问题简化为特殊Sobolev空间中的向量伪微分方程。得到了边值问题和积分微分方程唯一解存在的充分条件。