Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian Scaling Law for Atmospheric Propagation   A new scaling law model for propagation of optical beams through atmospheric
turbulence is presented and compared to a common scalar stochastic waveoptics
technique. This methodology tracks the evolution of the important beam
wavefront and phasefront parameters of a propagating Gaussian-shaped laser
field as it moves through atmospheric turbulence, assuming a conservation of
power. As with other scaling laws, this Lagrangian scaling law makes multiple
simplifying assumptions about the optical beam in order to capture the
essential features of interest, while significantly reducing the computational
cost of calculation. This Lagrangian scaling law is shown to reliably work with
low to medium turbulence strengths, producing at least a 2x computational
speed-up per individual propagation of the beam and >100x memory reduction
(depending on the chosen resolution).

8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg