Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 100% Reliable Frequency-Resolved Optical Gating Pulse-Retrieval
  Algorithmic Approach   Frequency-resolved optical gating (FROG) is widely used to measure ultrashort
laser pulses, also providing an excellent indication of pulse-shape
instabilities by disagreement between measured and retrieved FROG traces. FROG,
however, requires -- but currently lacks -- an extremely reliable
pulse-retrieval algorithm. So, this work provides one. It uses a simple
procedure for directly retrieving the precise pulse spectrum from the measured
trace. Additionally, it implements a multi-grid scheme, also quickly yielding a
vastly improved guess for the spectral phase before implementing the entire
measured trace. As a result, it achieves 100% convergence for the three most
common variants of FROG for pulses with time-bandwidth products as high as 100,
even with traces contaminated with noise. Here we consider the
polarization-gate (PG) and transient-grating (TG) variants of FROG, which
measure amplified, UV, and broadly tunable pulses. Convergence occurs for all
of the >20,000 simulated noisy PG/TG FROG traces considered and is also faster.

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas