Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Angular deviations: From a cubic equation to a universal closed formula
  to determine the peak position of reflected and (upper) transmitted beams   Angular deviations and lateral displacements are optical effects widely
investigated in literature. In this paper, by using the Taylor expansion of the
Fresnel coefficients, we obtain an analytic expression for the beam reflected
by and (upper) transmitted through a dielectric prism. These analytical
approximations lead to a cubic equation which allows to determine the angular
deviations of the optical beams. Near the Brewster angles, under specific
conditions, we obtain a universal formulation for the cubic equation. Its
explicit solution determines the peak position of the reflected and (upper)
transmitted beams. The universal solution could be of great utility in future
experimental implementations. The analytic results show an excellent agreement
with the numerical calculation and the analytic expressions given for the
reflected and (upper) transmitted beams should play an important role in the
weak measurements analysis.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ