Geodesic
Null field method in wave diffraction problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1490-1494

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Diffraction by an impermeable scatterer in with a Dirichlet boundary condition is considered. It is shown that the null field equation is equivalent to the original diffraction problem. The general theoretical constructions are illustrated by analyzing the excitation of a sphere by a point source. The evolution of the residual of the null field equation as the scatterer surface is approached by an auxiliary surface is estimated. 
@article{ZVMMF_2011_51_8_a11,
     author = {Yu. A. Eremin and A. G. Sveshnikov and S. P. Skobelev},
     title = {Null field method in wave diffraction problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1490--1494},
     publisher = {mathdoc},
     volume = {51},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a11/}
}
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Yu. A. Eremin; A. G. Sveshnikov; S. P. Skobelev. Null field method in wave diffraction problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1490-1494. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a11/