University of Utah Advanced Electromagnetics Green’s Function

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University of Utah Advanced Electromagnetics Green’s Function Dr. Sai Ananthanarayanan University of Utah Department of Electrical and Computer Engineering www.ece.utah.edu/~psai

Time Harmonic Fields

Considering Homogeneous form:

Whereever singularities are present the frequencies of the excitation sorce matches the natural frequency of the system. This is referred to as resonance.

Green’s Identities and Methods Generalized procedure for obtaining Green’s Function for the three Dimentional partial differential equation

Green’s Identities and Methods

Green’s Function of Scalar Helmotz Equation

Substituting into:

Dyadic Green’s Function A dyad is a “rank two tensor”. In EM theory dyad is defined by the juxtaposition AB for vectors A and B With no dot or cross product between them.

Dyadic Green’s Function