A direct non redundant Complex Source Point expansion of the electromagnetic field radiated by an arbitrary source

A simple closed-form expression for a non-redundant Complex Source Point (CSP) beam expansion of an arbitrary electromagnetic field is derived. The expansion process consists of two steps: first, a particular form of the equivalence principle is applied to a sphere enclosing the real sources, and a...

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Main Authors: Martini, Enrica, Carli, Giacomo, Maci, Stefano
Format: Conference Proceeding
Language:English
Subjects:
Beams
Closed-form solution
Current distribution
Electromagnetic fields
Electromagnetic scattering
Linear systems
Magnetic analysis
Partial differential equations
Sampling methods
Surface waves
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Carli, Giacomo
Maci, Stefano
description A simple closed-form expression for a non-redundant Complex Source Point (CSP) beam expansion of an arbitrary electromagnetic field is derived. The expansion process consists of two steps: first, a particular form of the equivalence principle is applied to a sphere enclosing the real sources, and a continuous equivalent electric current distribution is obtained; then, the continuous current is extended to complex space and properly filtered and sampled to generate the discrete set of CSP coefficients. The final result is an exact field representation suitable for arbitrary radiated fields, and optimal if the source is highly directional and/or the observation domain is restricted.
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subjects Beams
Closed-form solution
Current distribution
Electromagnetic fields
Electromagnetic scattering
Linear systems
Magnetic analysis
Partial differential equations
Sampling methods
Surface waves
title A direct non redundant Complex Source Point expansion of the electromagnetic field radiated by an arbitrary source
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