Analysis of Kirchhoff migration and direct sampling method within far-field approximation: from the multi-static to the mono-static configuration

Sangwoo Kang (1) , Marc Lambert (1) , Won-Kwang Park (2)

1 GeePs - Laboratoire Génie électrique et électronique de Paris
2 Kookmin University [Seoul]

A recently developed direct sampling method (DSM) is studied in the framework of multi-and mono-static configurations within the far-field hypothesis. A full analysis of the behavior of the DSM has not been provided yet in both cases even if, due to a lack of information compared to multi-static data, the mono-static configurations need an adapted analysis. Thanks to the theoretical analysis based on the asymptotic formula for far-field patterns and small obstacles hypothesis, the behavior of DSM is explained and the reason for which it failed in the mono-static configuration is identified. A modified DSM is then proposed and compared to the classical Kirchhoff migration technique (KM) in order to improve the imaging efficiency of the DSM approach. The theoretical results are supported by numerical experiments with synthetic data.

Keywords: mono-static configuration; multistatic data; direct sampling method; Kirchhoff migration analysis; far-field approximation; multistatic configuration; far-field hypothesis; small obstacle hypothesis; far-field patterns; asymptotic formula; modified DSM; classical Kirchhoff migration technique; imaging efficiency

Domains: Engineering Sciences [physics]; Electromagnetism; Mathematics [math]; Mathematics [math]; Numerical Analysis [math.NA]

Sangwoo Kang, Marc Lambert, Won-Kwang Park. Analysis of Kirchhoff migration and direct sampling method within far-field approximation: from the multi-static to the mono-static configuration. Second URSI Atlantic Radio Science Meeting (URSI-RASC 2018), May 2018, Meloneras, Spain. pp.B21-04, ⟨10.23919/ursi-at-rasc.2018.8471469⟩. ⟨hal-01830567⟩