Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced order model approach for imaging with waves   We introduce a novel, computationally inexpensive approach for imaging with
an active array of sensors, which probe an unknown medium with a pulse and
measure the resulting waves. The imaging function uses a data driven estimate
of the "internal wave" originating from the vicinity of the imaging point and
propagating to the sensors through the unknown medium. We explain how this
estimate can be obtained using a reduced order model (ROM) for the wave
propagation. We analyze the imaging function, connect it to the time reversal
process and describe how its resolution depends on the aperture of the array,
the bandwidth of the probing pulse and the medium through which the waves
propagate. We also show how the internal wave can be used for selective
focusing of waves at points in the imaging region. This can be implemented
experimentally and can be used for pixel scanning imaging. We assess the
performance of the imaging methods with numerical simulations and compare them
to the conventional reverse-time migration method and the "backprojection"
method introduced recently as an application of the same ROM.

6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex