Studies in Radar Cross Sections L - Diffraction and Scattering by Regular Bodies Iv: The Circular Cylinder

Abstract

A survey of electromagnetic and acoustical scattering by a circular cylinder is performed. Theoretical methods and results for infinite and semi-infinite cylinders, and experimental ones for finite cylinders, are included. Only tlme-harmonic fields are considered, and dielectric cylinders are not taken into account.iii THE UNIVERSITY OF MICHIGAN 7133-3-T

Electromagnetic scattering by open circular waveguides

“…The exact Wiener-Hopf solution to the diffraction by a semiinfinite circular waveguide can be found in [Einarsson et al (1966)1. The significant formulas from this report are summarized in Appendix B.…”

“…Further complicating matters, [Einarsson et al (1966)] and [Mittra et al (1974)1 us, different coordinate systems. This study uses the coordinate system illustrated in Figure 2-1, which is the same as [Mittra et al (1974)1, since it forms a self-consistant reference for scattering calculations.…”

“…These are used to manipulate the problem into a Weiner-Hopf form. This process is described by [WPInst-in (1969) and Einarsson et al (1966)]. …”

“…TM modes have higher reflection coefficients at the open end of the pipe. [Einarsson et al (1966)1 give an exhaustive study of diffraction by both the infinite and semi-infinite circular cylinder. The backs, tter for a plane electromagnetic wave incident on a solid, semiinfinite, perfectly conducting rod is given.…”

“…The argum( introducing this imagirary part is given by [Einarsson (1966), p. 147]. The correct answer is defined as the one obtained in limit wvhere Im(k) -0.…”