Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Circularly-polarized plane waves in a deformed Hadamard material   Small amplitude inhomogeneous plane waves propagating in any direction in a
homogeneously deformed Hadamard material are considered. Conditions for
circular polarization are established. The analysis relies on the use of
complex vectors (or bivectors) to describe the slowness and the polarization of
the waves. Generally, homogeneous circularly-polarized plane waves may
propagate in only two directions, the directions of the acoustic axes, in a
homogeneously deformed Hadamard material. For inhomogeneous
circularly-polarized plane waves, the number of possibilities is far greater.
They include an infinity of "transverse waves", as well as "longitudinal
waves", and the superposition of "transverse waves" and "longitudinal waves",
where "transverse" and "longitudinal" are used in the bivector sense. Each and
every possibility of circular polarization is examined in turn, and explicit
examples of solutions are given in every case.

6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn