Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficiently parallelized modeling of tightly focused, large bandwidth
  laser pulses   The Stratton-Chu integral representation of electromagnetic fields is used to
study the spatio-temporal properties of large bandwidth laser pulses focused by
high numerical aperture mirrors. We review the formal aspects of the derivation
of diffraction integrals from the Stratton-Chu representation and discuss the
use of the Hadamard finite part in the derivation of the physical optics
approximation. By analyzing the formulation we show that, for the specific case
of a parabolic mirror, the integrands involved in the description of the
reflected field near the focal spot do not possess the strong oscillations
characteristic of diffraction integrals. Consequently, the integrals can be
evaluated with simple and efficient quadrature methods rather than with
specialized, more costly approaches. We report on the development of an
efficiently parallelized algorithm that evaluates the Stratton-Chu diffraction
integrals for incident fields of arbitrary temporal and spatial dependence.
This method has the advantage that its input is the unfocused field coming from
the laser chain, which is experimentally known with high accuracy. We use our
method to show that the reflection of a linearly polarized Gaussian beam of
femtosecond duration off a high numerical aperture parabolic mirror induces
ellipticity in the dominant field components and generates strong longitudinal
components. We also estimate that future high-power laser facilities may reach
intensities of $10^{24}\,\text{W/cm}^2$.

32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ