Mathematical Relationship of an Isotropic Point Source and the Spherically Distributed Antenna Array

This work investigates beam pattern behavior of an isotropic point source and a collection of sources distributed amongst a spherical volume. Pattern behavior is compared to the tapering of a plane wave expansion of spherical waves demonstrating self-adjoint characteristics. Beampatterns of atomic l...

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Bibliographic Details
Published in:Applied Computational Electromagnetics Society journal 2019, Vol.34 (2), p.264
Main Authors: Buchanan, Kristopher, Adeyemi, Timi, Flores-Molina, Carlos, Wheeland, Sara, Weiss, Steven
Format: Article
Language:English
Subjects:
Antenna arrays
Arrays
Expected values
Fourier transforms
Plane waves
Point sources
Radiation
Random variables
Spherical waves
Tapering
Zernike polynomials
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Summary:This work investigates beam pattern behavior of an isotropic point source and a collection of sources distributed amongst a spherical volume. Pattern behavior is compared to the tapering of a plane wave expansion of spherical waves demonstrating self-adjoint characteristics. Beampatterns of atomic like orbitals and Zernike polynomials are provided as connections to common applications.
ISSN:1054-4887
1943-5711