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For the Green functions,, we can obtain.
An unusual choice of Green functions is made.
These Green functions G ( p, p ′ ) are unique.
Our algorithms are naturally suited to the use of Green functions with boundary conditions imposed on the boundary of a cube, rather than free-space Green functions.
This confusion also causes significant problems for mode-matching, Green functions, and scattering analyses.
In order to demonstrate the use of the Green functions method, several examples are given.
Also Green functions for various beams with different homogenous and elastic boundary conditions are given.
By using this relation, we will give the explicit forms of the Green functions.
The nonlocal kernels are derived analytically as Green functions of partial differential equations of fourth order.
From this, we deduce that the Green functions for these two processes in D are comparable.
To construct the Green functions, a dispersion polynomial is derived and normal modes are obtained.
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