Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Avoided mode crossings in cylindrical microwave cavities   Axion haloscope detectors require high-$Q$ cavities with tunable TM$_{010}$
modes whose resonant electric field occupies as much of the full volume of the
cavity as possible. An analytical study of the effects of longitudinal symmetry
breaking within microwave cavities was conducted to better understand the mode
structure. The study revealed longitudinal symmetry breaking of the cavities
was the mechanism for avoided mode crossings (AMC) in cylindrical microwave
cavities. The results showed the size of the gaps in the search frequency
spectrum due to an AMC was roughly proportional to the magnitude of symmetry
breaking for small perturbations.

31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
2
The categories of this paper are: math
14
The categories of this paper are: math-ph