Reconstruction of two-dimensional permittivity distribution using an improved Rytov approximation and nonlinear optimization

Kechribaris, CN; Nikita, KS; Uzunoglu, NK

dc.contributor.author	Kechribaris, CN	en
dc.contributor.author	Nikita, KS	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:19:29Z
dc.date.available	2014-03-01T01:19:29Z
dc.date.issued	2003	en
dc.identifier.issn	0920-5071	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15520
dc.subject	Nonlinear Optimization	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Physics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Approximation theory	en
dc.subject.other	Biomedical engineering	en
dc.subject.other	Dielectric materials	en
dc.subject.other	Error analysis	en
dc.subject.other	Integral equations	en
dc.subject.other	Medical imaging	en
dc.subject.other	Optimization	en
dc.subject.other	Permittivity	en
dc.subject.other	Spurious signal noise	en
dc.subject.other	Tissue	en
dc.subject.other	Tomography	en
dc.subject.other	Diffraction tomography	en
dc.subject.other	Inverse scattering	en
dc.subject.other	Nonlinear optimization	en
dc.subject.other	Permittivity distribution	en
dc.subject.other	Rytov approximation	en
dc.subject.other	Electromagnetic wave scattering	en
dc.title	Reconstruction of two-dimensional permittivity distribution using an improved Rytov approximation and nonlinear optimization	en
heal.type	journalArticle	en
heal.identifier.primary	10.1163/156939303322235789	en
heal.identifier.secondary	http://dx.doi.org/10.1163/156939303322235789	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper, a spatial-domain method for the reconstruction of the complex permittivity profile of two-dimensional large size-low, contrast objects is presented. The unknown dielectric scatterer is described as a superposition of step functions placed on a rectangular grid with unknown weighting coefficients. Furthermore, an improved Rytov, approximation is developed for the description of the unknown internal field in the scattering integral equation. The inverse scattering problem is then solved by minimizing the squared error between measured and predicted values for the scattering amplitude. The efficiency of the direct and inverse scattering technique is validated by using synthetic scattering amplitude data, and a study of noise effects is undertaken. It is shown that significant improvement over conventional diffraction tomography methods based on the first-order Rytov approximation is possible with the proposed technique, and it can be efficiently used for soft tissue imaging in biomedical engineering applications.	en
heal.publisher	VSP BV	en
heal.journalName	Journal of Electromagnetic Waves and Applications	en
dc.identifier.doi	10.1163/156939303322235789	en
dc.identifier.isi	ISI:000183322400002	en
dc.identifier.volume	17	en
dc.identifier.issue	2	en
dc.identifier.spage	183	en
dc.identifier.epage	207	en