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The Direct Sampling Method (DSM) is well known to be a fast, stable, and effective detection technique in inverse scattering problems, but its analysis is restricted to imaging of a single target. Motivated by this, we investigate the mathematical structure of DSM for imaging small multiple dielectric targets by establishing a relationship with the radii and permittivities of targets, and Bessel function of order zero. This structure explains why DSM can be applied to the imaging of multiple targets. Numerical results support our findings.

A Novel Study on Direct Sampling Method for Imaging Multiple Targets