We prove the equivalence between the derivation of the Vogler algorithm and the parabolic equation for multiple knife-edge diffraction problems under certain conditions. To illustrate the key ideas, we present two case studies for single and double knife-edge diffraction, where the proposed results generalize the available results in the literature. The insight from our proof can serve two purposes: allowing cross-checking results of the Vogler algorithm and the parabolic equation; and building the foundation on which new methods for solving this essential problem and related ones can be developed.

中文翻译：

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多刀刃衍射Vogler算法推导与抛物线方程的关系研究