Confirm by direct substitution into the defining equation that the free-space Green function for the Helmholtz equation

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Confirm by direct substitution into the defining equation that the free-space Green function for the Helmholtz equation in two-dimensional plane polar coordinates ρ = (ρ,φ) is

where H⁽¹⁾₀ (x) is the zero-order Hankel function of the first kind.

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Jul 30, 2023 08:41 AM

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Confirm by direct substitution into the defining equation that the free-space Green function for the Helmholtz equation

Question:

Go(p, p') = HD (k\p - p'\),

Step by Step Answer:

To confirm the freespace Green function for the Helmholtz equation in twodimensional plane polar coordinates we start with the defining equation for t...View the full answer

Modern Electrodynamics

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