ELECTROMAGNETIC SCATTERING FROM TWO PARALLEL CONDUCTING CIRCULAR CYLINDERS
Abstract
The problem of the scattering of an incident cylindrical electromagnetic wave by an arbitrary array of perfectly conducting circular cylinders is solved for the case of the electric vector parallel to the axes of the cylinders. The total field is calculated by the use of a Green's theorem. The application of the boundary conditions results in a set of integral equations for the current on each cylinder; arbitrary excitations and coupling between all the elements are taken into account. The currents are expanded in a complex Fourier series; this transforms the integral equations into an infinite set of linear algebraic equations in the unknown Fourier coefficients. The theory is specialized to the case of 2 identical cylinders. In addition, neglect of the coupling between different current modes yields a simple formula for the scattered field in which the effect of coupling is apparent. For 2 cylinders equidistant and far from the source, the scattered field is computed from these approximations for cylinders as large as a wave length in diameter and for spacings of 1 to 4 lambda w between the centers. The approximations were confirmed by measurements at 3.185 cm w in a parallel plate region. Both theory and experiment indicate significant departures from the predictions of the independent scattering hypothesis.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1953
- Accession Number
- AD0014953
Entities
People
- R. V. Row
Organizations
- Harvard University