On the evolution of wavefront of a plane wave passing through an area with heterogeneities
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 4, pp. 387-392
A two-dimensional eikonal equation with the right-hand side tending to unity as the distance from the origin increases is considered. Formulas describing a wavefront in such a medium have been obtained.
@article{SJVM_2012_15_4_a3,
author = {E. D. Moskalensky},
title = {On the evolution of wavefront of a~plane wave passing through an area with heterogeneities},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {387--392},
year = {2012},
volume = {15},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a3/}
}
TY - JOUR AU - E. D. Moskalensky TI - On the evolution of wavefront of a plane wave passing through an area with heterogeneities JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2012 SP - 387 EP - 392 VL - 15 IS - 4 UR - http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a3/ LA - ru ID - SJVM_2012_15_4_a3 ER -
E. D. Moskalensky. On the evolution of wavefront of a plane wave passing through an area with heterogeneities. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 4, pp. 387-392. http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a3/
[1] Moskalenskii E. D., “O nakhozhdenii tochnykh reshenii dvumernogo uravneniya eikonala”, Sib. zhurn. vychisl. matematiki (RAN. Sib. otd-nie, Novosibirsk), 12:2 (2009), 201–209
[2] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, Nauka, M., 1969