Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optics in nonuniform media and Lagrange geometry   In this paper the equations of motion associated with a Lagrangian inspired
by relativistic optics in nonuniform moving media are considered. The model
describes optical effects in the nonuniform dispersionless moving medium. When
using the optical metric restricted to the Minkowski manifold, we have
established the Euler-Lagrange equations for geodesics. We have specified the
general model to the special case when the refractive index increases along the
direction $Z$. The exact analytical solutions of the corresponding
Euler-Lagrange equations have been constructed. Analysis of the solutions shows
that the light beams are bending to the axes $Z$ along which the refractive
index increases.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th