Andronov I. Problems of High Frequency Diffraction by Elongated Bodies 2023

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When computing a numerical solution to a diffraction problem, in order to achieve acceptable accuracy, the size of the mesh should be a small fraction of the wave length. This leads to the fact that the number of unknowns rapidly increases with frequency and numerical methods, especially those using volume mesh become com putationally very intensive at high frequencies. Therefore, some problems remain unaffordable even for modern computers.
High-Frequency Diffraction and Elongated Bodies
Diffraction by an Elliptic Cylinder
Acoustic Wave Diffraction by Spheroid
Electromagnetic Wave Diffraction by Spheroid
Other Strongly Elongated Shapes
Appendix A: Airy and Whittaker Functions