Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal third-harmonic generation in an optical microcavity with
  $\chi^{(2)}$ and $\chi^{(3)}$ nonlinearities   Third-harmonic generation can be realized via both $\chi^{(3)}$ and cascaded
$\chi^{(2)}$ nonlinear processes in a triply-resonant microcavity. It is still
unknown how these processes interfere with each other and the optimization of
the conversion efficiency still remains as a question. In this work, the
interplay between the direct third-harmonic generation and the cascaded process
combining of the second-harmonic generation and the sum-frequency generation
are investigated. It is found that the interference effect between these two
processes can be used to improve the conversion efficiency. By optimizing the
cavity resonance and the external coupling conditions, the saturation of the
nonlinear conversion is mitigated and the third-harmonic conversion efficiency
is increased. A design rule is provided for achieving efficient third-harmonic
generation in an optical microcavity, which can be generalized further to the
high-order harmonic generations.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat