Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The reflection coefficient of a surface of Rayleigh distributed impedance

Author: H. S. Heaps
Journal: Quart. Appl. Math. 15 (1957), 291-297
MSC: Primary 60.0X
DOI: https://doi.org/10.1090/qam/90162
MathSciNet review: 90162
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Abstract: Formulas are obtained for the probability distribution $ p\left( k \right)$ of the amplitude $ k$ of $ {\left( {z - {c_2}} \right)^2}{\left( {z + {c_1}} \right)^{ - 2}}$ in which $ {c_1}$ and $ {c_2}$ are real constants. $ z$ is a complex number of the form $ c + {z_1}$ where $ c$ is a complex constant and $ {z_1}$ is a complex variable of Gaussian distribution of amplitude and uniform distribution of phase (see Fig. 1).

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/90162
Article copyright: © Copyright 1957 American Mathematical Society

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