Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified geometrical optics of a smoothly inhomogeneous isotropic
  medium: the anisotropy, Berry phase, and the optical Magnus effect   In this paper we present a modification of the geometrical optics method,
which allows one to properly separate the complex amplitude and the phase of
the wave solution. Appling this modification to a smoothly inhomogeneous
isotropic medium, we show that in the first geometrical optics approximation
the medium is weakly anisotropic. The refractive index, being dependent on the
direction of the wave vector, contains the correction, which is proportional to
the Berry geometric phase. Two independent eigenmodes of right-hand and
left-hand circular polarizations exist in the medium. Their group velocities
and phase velocities differ. The difference in the group velocities results in
the shift of the rays of different polarizations (the optical Magnus effect).
The difference in the phase velocities causes the increase of Berry phase along
with the interference of two modes leading to the familiar Rytov law about the
rotation of the polarization plane of a wave. The theory developed suggests
that both the optical Magnus effect and the Berry phase are accompanying
nonlocal topological effects. In this paper the Hamilton ray equations giving a
unified description for both of these phenomena have been derived and also a
novel splitting effect for a ray of noncircular polarization has been
predicted. Specific examples are also discussed.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs