This is the calculation program of quasi-periodic Green's function for the Helmholtz equations. The quasi-periodicity is 1-dimension ( x component only ), Green's function is 2-dimensions.
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quasi-periodic Green's function
is quasi-peridic Green's function
is Green's function of the 2-dimensional Helmholtz equation
is wave number vector,
is lattice vector, -
quasi-periodic condition
- type 'make' command to compile
- type './example.out' to run
Please see src/d2_qpgf_d1.h for detail of functions, src/example.c for detail of function usages.
- Capolino, Filippo, Donald R. Wilton, and William A. Johnson. "Efficient computation of the 2-D Green's function for 1-D periodic structures using the Ewald method." IEEE Transactions on Antennas and Propagation 53.9 (2005): 2977-2984.
- Beylkin, Gregory, Christopher Kurcz, and Lucas Monzón. "Fast algorithms for Helmholtz Green's functions." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464.2100 (2008): 3301-3326.
- Linton, Chris M. "Lattice sums for the Helmholtz equation." SIAM review 52.4 (2010): 630-674.
- Abramowitz, Milton, Irene A. Stegun, and Robert H. Romer. "Handbook of mathematical functions with formulas, graphs, and mathematical tables." (1988).
- Faddeeva Package. http://ab-initio.mit.edu/Faddeeva