Proposed Diagnostic Method for Cylindrical Plasmas

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Abstract
For a cylindrically symmetric plasma column whose electron density N is a slowly varying, monotonically decreasing function of radius r, it is possible to calculate explicitly both the diffraction pattern from the knowledge of N(r) and, conversely, N(r) from the knowledge of the diffraction pattern. If the diffraction pattern is obtained experimentally, N(r) can be calculated by a cumbersome numerical procedure. Instead of doing this, the diffraction pattern can be approximated by one of a family of convenient analytical expressions for which the integration can be carried out easily. Alternatively, one can attempt to infer N(r) by assuming a functional form for N(r) with one or more parameters, calculating the diffraction pattern, and comparing it with the observed one.

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