Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution to the steady-state dynamics of a periodically-modulated
  resonator   We provide an analytic solution to the coupled-mode equations describing the
steady-state of a single periodically-modulated optical resonator driven by a
monochromatic input. The phenomenology of this system was qualitatively
understood only in the adiabatic limit, i.e. for low modulation speed. However,
both in and out of this regime, we find highly non-trivial effects for specific
parameters of the modulation. For example, we show complete suppression of the
transmission even with zero detuning between the input and the static resonator
frequency. We also demonstrate the possibility for complete, lossless frequency
conversion of the input into the side-band frequencies, as well as for
optimizing the transmitted signal towards a given target temporal waveform. The
analytic results are validated by first-principle simulations.

14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin