The paper gives a torus-based Sommerfeld integral formalism for discrete lattice Helmholtz problems, with recursive formulas for the Green's function, an algebraic solution for the half-line, and an elliptic-function representation for the right angle.
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Sommerfeld--type integrals for discrete diffraction problems
The paper gives a torus-based Sommerfeld integral formalism for discrete lattice Helmholtz problems, with recursive formulas for the Green's function, an algebraic solution for the half-line, and an elliptic-function representation for the right angle.