Massimo Brignone and Michele Piana 2005 Inverse Problems 21 207 doi:10.1088/0266-5611/21/1/013
Massimo Brignone and Michele Piana
Show affiliationsPhysical optics is an asymptotic scattering regime where the wavelength of the incident field is much smaller than the linear dimensions of the scatterer. In such conditions, the inverse scattering problem of determining the object profile from measurements of the far-field pattern can be formulated in terms of a linear integral equation of the first kind. We apply an iterative algorithm with convex projections to scattering data corresponding to different conducting objects and discuss the complementarity between this physical optics approach and the reconstruction algorithm based on the linear sampling method. Finally, the two approaches are combined to increase the reconstruction accuracy.
42.25.Gy Edge and boundary effects; reflection and refraction
Issue 1 (February 2005)
Received 16 July 2004, in final form 26 October 2004
Published 6 December 2004
Massimo Brignone and Michele Piana 2005 Inverse Problems 21 207
Marijn Davidse et al JHEP09(2005)065
Amitabh Joshi and A-S F Obada 1997 J. Phys. A: Math. Gen. 30 81
Ryan Turner et al 2003 J. Micromech. Microeng. 13 367
Alejandro Satz 2007 Class. Quantum Grav. 24 1719
A Kivimäki et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 781
R Willink 2006 Metrologia 43 L39
A A Hamza et al 2004 Meas. Sci. Technol. 15 831
A. de Souza Dutra et al 2003 Europhys. Lett. 62 8
Peter Talkner et al 2005 New J. Phys. 7 14