Geodesic
Caustics of Interior Scattering
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Singularities and applications, Tome 267 (2009), pp. 7-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to geometrical optics of short linear waves in an inhomogeneous anisotropic medium. We find some typical singularities of caustics that arise due to the so-called interior scattering of waves, the mathematical theory of which was developed by V. I. Arnold in 1988. 
@article{TM_2009_267_a0,
     author = {I. A. Bogaevsky},
     title = {Caustics of {Interior} {Scattering}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {7--13},
     publisher = {mathdoc},
     volume = {267},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_267_a0/}
}
TY  - JOUR
AU  - I. A. Bogaevsky
TI  - Caustics of Interior Scattering
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2009
SP  - 7
EP  - 13
VL  - 267
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2009_267_a0/
LA  - ru
ID  - TM_2009_267_a0
ER  - 
%0 Journal Article
%A I. A. Bogaevsky
%T Caustics of Interior Scattering
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2009
%P 7-13
%V 267
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2009_267_a0/
%G ru
%F TM_2009_267_a0
I. A. Bogaevsky. Caustics of Interior Scattering. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Singularities and applications, Tome 267 (2009), pp. 7-13. http://geodesic.mathdoc.fr/item/TM_2009_267_a0/

[1] Arnold V. I., Osobennosti kaustik i volnovykh frontov, Fazis, M., 1996 | MR | Zbl

[2] Landau L. D., Lifshits E. M., Teoreticheskaya fizika. T. 8: Elektrodinamika sploshnykh sred, Nauka, M., 1992 | MR

[3] Bogaevskii I. A., “Osobennosti rasprostraneniya korotkikh voln na ploskosti”, Mat. sb., 186:11 (1995), 35–52 | MR | Zbl

[4] Bogaevsky I. A., “New singularities and perestroikas of fronts of linear waves”, Moscow Math. J., 3:3 (2003), 807–821 | MR | Zbl

[5] Arnold V. I., “On the interior scattering of waves, defined by hyperbolic variational principles”, J. Geom. and Phys., 5:3 (1988), 305–315 | DOI | MR | Zbl