# Diffraction by an elongated body of revolution. A boundary integral equation based on the parabolic equation

## TL;DR

This paper develops a boundary integral equation based on the parabolic equation to analyze wave diffraction by elongated bodies of revolution, providing analytical and iterative solutions specifically for conical shapes.

## Contribution

It introduces a novel boundary integral equation approach using the parabolic equation for diffraction problems involving elongated bodies of revolution.

## Key findings

- Analytical solution for diffraction by a cone.
- Iterative solution method demonstrated.
- Effective modeling of wave diffraction in elongated structures.

## Abstract

A problem of diffraction by an elongated body of revolution is studied. The incident wave falls along the axis. The wavelength is small comparatively to the dimensions of the body. The parabolic equation of the diffraction theory is used to describe the diffraction process. A boundary integral equation is derived. The integral equation is solved analytically and by iterations for diffraction by a cone.