## Back scattering of a plane electromagnetic wave from an infinite cylinder of plasma with small axial gradients and arbitrary radial gradients of electron density: normal incidence |

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associated Legendre polynomials asymptotic values axial dependence axially nonuniform plasma axially uniform plasma back scattering cross back-scattering cross section Bessel Functions centerline collision frequency computed coordinates cylindrical plasma structures density function dielectric permeabilities distribution of electron eikoP exponentially decaying expression field point fn and gn GASL GRADIENTS OF ELECTRON Hn kQr ikoP ikQp incident plane wave incident wave inside the plasma integral equation formulation integrand iteration magnetic field mathematical induction multipole formulation multipole intensities NORMAL INCIDENCE overdense partial leads partial sums plasma configuration plasma properties plasma volume plasma-vacuum interface Poynting vector problem purely axial electric radial distribution radiation condition receiver distance recurrence relations reduced wave equation satisfies the radiation scat scattered energy flow scattering cross section SMALL AXIAL GRADIENTS solution spherical Hankel functions Stratton and Chu strip-theory subroutine summation surface integral tangential three-dimensional vacuum field equations vector integral equation z-dependent