Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New indices of coherence for one or two-dimensional fields   The modern definition of optical coherence highlights a frequency dependent
function based on a matrix of spectra and cross-spectra. Due to general
properties of matrices, such a function is invariant in changes of basis. In
this article, we attempt to measure the proximity of two stationary fields by a
real and positive number between 0 and 1. The extremal values will correspond
to uncorrelation and linear dependence, similar to a correlation coefficient
which measures linear links between random variables. We show that these
"indices of coherence" are generally not symmetric, and not unique. We study
and we illustrate this problem together for one-dimensional and two-dimensional
fields in the framework of stationary processes.

6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph