Journal of the Korean Society for Industrial and Applied Mathematics

  • 제28권3호
  • /
  • Pages.96-107
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  • 2024
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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APPLICATION OF THE BIFOCUSING METHOD IN MICROWAVE IMAGING BY CONVERTING UNKNOWN MEASUREMENT DATA INTO THE CONSTANT

  • SANGWOO KANG (GRADUATE SCHOOL OF DATA SCIENCE, PUSAN NATIONAL UNIVERSITY) ;
  • MINYEOB LEE (DEPARTMENT OF MATHEMATICS, KOOKMIN UNIVERSITY) ;
  • WON-KWANG PARK (DEPARTMENT OF MATHEMATICS, KOOKMIN UNIVERSITY) ;
  • SEONG-HO SON (DEPARTMENT OF ICT CONVERGENCE, SOONCHUNHYANG UNIVERSITY)
  • 투고 : 2024.07.30
  • 심사 : 2024.09.24
  • 발행 : 2024.09.25
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초록

We consider the bifocusing method (BFM) for a fast identification of small objects in microwave imaging. In many researches, it was very hard to measure the scattering parameter data if the location of the transmitter and the receiver is the same. Due to this reason, the imaging function of BFM has mainly been designed by converting unknown measurement data into the zero constant; this approach has yielded reliable imaging results, but the theoretical reason for this conversion has not been investigated yet. In this study, we converted unknown measurement data to a fixed constant and applied the BFM to retrieve small objects. To demonstrate the effect of the converted constant, we show that the imaging function of the BFM can be represented in terms of an infinite series of the Bessel functions of an integer order, antenna setting, material properties, and applied constant. Based on the theoretical result, we concluded that converting unknown measurement data to constant zero guarantees good imaging results, including the unique determination of the objects. Simulation results obtained with synthetic and real data support the theoretical result.

키워드

과제정보

This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2020R1A2C1A01005221, RS-2023-00242528), the research program of Kookmin University, and a New Faculty Research Grant of Pusan National University, 2024.

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