Simplified closed‐form expressions for computing the generalized fresnel integral and their application to vertex diffraction

The generalized Fresnel integral serves as a canonical function for the uniform ray field representation of several high‐frequency diffraction mechanisms. In this article, an example of application of this canonical function is examined, which is concerned with the diffraction at a plane angular sector with soft boundary conditions on its faces. Closed‐form expressions for computing this canonical function are presented, and it is shown that the approximate formulation adopted herein is accurate and very fast to calculate.