Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the correct mathematical proof of the polarization mode dispersion
  equation   The fundamental equation that describes polarization mode dispersion does not
have a mathematically correct and convincing proof. This problem stems from the
fact that Poincare's sphere, where Stokes vectors are represented, is just a
manifold (a representation space) devoid of metric. In this "space" orthogonal
vectors are antiparallel and, therefore, it is hard to justify the use of a
Euclidean metric. However, if one realizes that in Poincare's sphere only
three-dimensional rotations are represented, a Euclidean pseudo-scalar product
can be defined and a mathematically correct proof for the polarization mode
dispersion can be given.

5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph