Scattering of Microwaves form a Cylindrical Plasma in the Born Approximation. II.

抄録

The scattering of a microwave, which is fed by an oscillating electric dipole, is treated in the Born approximation. When the source is a dipole p₀e^jωte_z, where e_z is a unit vector in the z direction, the scattered field from a collisionless cylindrical plasma is given by
E_s(r,t)=p₀\sqrt\fracπ2e^(3⁄4)πj\frack⁴\sqrtklρ(l+ρ)e^{j(ωt−kl−kρ)}∫₀^∞η(ρ′)J₀\left(2kρ′sin\fracθ2\ ight)ρ′dρ′e_z,
where (l, π, 0) and (ρ, θ, 0) are the cylindrical coordinates of the source and the observing point, respectively, η(ρ′) is ω_p²⁄ω² with the plasma frequency ω_p and here only the term lowest in 1/kl and 1/kρ is retained. Formulas are also derived to the next order in 1/kl and 1/kρ, when the plasma has collision loss and the dipole source has the axis in any one of the three independent directions. Remarks and discussions are given on the nature and the accuracy of the formulas. Finally the cases, where the observing point does not lie on the plane z=0, are treated in the lowest order in 1/kl and 1/kρ.