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<p>In this paper, we design a&#xa0;bifocusing-based imaging strategy for the rapid identification of small penetrable dielectric inhomogeneities within a&#xa0;two-dimensional bistatic measurement setup. To address the applicability and limitation, we carefully explore the mathematical structure of the indicator function by establishing a&#xa0;relationship involving the infinite series of Bessel functions, the material characteristics, and the bistatic angle. Through this theoretical result, we rigorously verify that the imaging resolution degrades as the bistatic angle approaches <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(180\,\mathrm{^{\circ}}\)</EquationSource> </InlineEquation>, and specifically, that target identification becomes impossible when the bistatic angle is <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(180\,\mathrm{^{\circ}}\)</EquationSource> </InlineEquation>. Conversely, relatively high-resolution results are obtained when the bistatic angle is close to <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(0\,\mathrm{^{\circ}}\)</EquationSource> </InlineEquation>. The theoretical findings are validated through numerical simulations using the Fresnel experimental dataset, which confirm the applicability and limitations of the proposed method for both dielectric and metallic objects.</p>

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Mathematical and experimental validation of the bifocusing method tailored for bistatic measurement

  • 期刊论文

  • 发表日期：

    2026年6月16日

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  • Won-Kwang Park

摘要

In this paper, we design a bifocusing-based imaging strategy for the rapid identification of small penetrable dielectric inhomogeneities within a two-dimensional bistatic measurement setup. To address the applicability and limitation, we carefully explore the mathematical structure of the indicator function by establishing a relationship involving the infinite series of Bessel functions, the material characteristics, and the bistatic angle. Through this theoretical result, we rigorously verify that the imaging resolution degrades as the bistatic angle approaches \(180\,\mathrm{^{\circ}}\) , and specifically, that target identification becomes impossible when the bistatic angle is \(180\,\mathrm{^{\circ}}\) . Conversely, relatively high-resolution results are obtained when the bistatic angle is close to \(0\,\mathrm{^{\circ}}\) . The theoretical findings are validated through numerical simulations using the Fresnel experimental dataset, which confirm the applicability and limitations of the proposed method for both dielectric and metallic objects.