The problem of the detection and localization of a dielectric slab under a multifrequency plane-wave illumination is addressed. A linear inversion scheme, based on δ-functions, whose support represents the positions of the two slab interfaces, and on the truncated singular-value decomposition is exploited. The closed-form derivation of the amplitude of the reconstruction at the slab interface positions when the inversion scheme acts on exact model data allows us to analyze by means of analytical results the role played by the parameters of the slab, the frequency bandwidth, and the noise on the achievable probability of detection.
© 2007 Optical Society of America
Original Manuscript: June 19, 2006
Revised Manuscript: March 7, 2007
Manuscript Accepted: April 12, 2007
Published: July 30, 2007
Raffaele Solimene and Rocco Pierri, "Detection and localization of a slab by a linearlike δ approach," J. Opt. Soc. Am. A 24, 2661-2672 (2007)