A full mathematical analysis of the physically thin screen

Statistics – Computation

Scientific paper

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Pulsars, Radiative Transfer, Scintillation, Screen Effect, Correlation Coefficients, Electron Density (Concentration), Fresnel Integrals, Phase Transformations

Scientific paper

A full analytical treatment is given for the physically thin phase-changing screen often used to interpret pulsar scintillation phenomena; the phase is allowed to be a function of both frequency and position in this treatment. For a two-dimensional screen assumed to be isotropic, simplifications in the numerical evaluations permit computation in single precision of the modulation index for a much wider range of conditions than was previously possible. In addition, a new expression for the decorrelation bandwidth is developed, and is found to reduce to well-known solutions in certain limiting cases.

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