介质界面三重模的非线性关系
Orthogonality relations for triple modes at dielectric boundary surfaces
摘要：
我们分别给出了无源电磁场在无源介质半空间和真空背景下的Carniglia-Mandel三重模的正交关系，这些三重模为无源电磁场提供了一组简正模。由于问题固有的计算复杂性，一个有效的策略来完成这项任务是可取的，这是在文件中。此外，我们提供了所有的主要步骤的各种证明有关的不同组合的三重模式的正交积分。
英文摘要：
We work out the orthogonality relations for the set of Carniglia-Mandel triple modes which provide a set of normal modes for the source-free electromagnetic field in a background consisting of a passive dielectric half-space and the vacuum, respectively. Due to the inherent computational complexity of the problem, an efficient strategy to accomplish this task is desirable, which is presented in the paper. Furthermore, we provide all main steps for the various proofs pertaining to different combinations of triple modes in the orthogonality integral.
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