Uniqueness of a 3-D coefficient inverse scattering problem without the phase information

Abstract

We use a new method to prove uniqueness theorem for a coefficient inverse scattering problem without the phase information for the 3-D Helmholtz equation. We consider the case when only the modulus of the scattered wave field is measured and the phase is not measured. The spatially distributed refractive index is the subject of the interest in this problem. Applications of this problem are in imaging of nanostructures and biological cells.

References in corpus (5)

• Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions
• Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
• Nanostructures imaging via numerical solution of a 3-d inverse scattering problem without the phase information
• Phased and phaseless domain reconstruction in inverse scattering problem via scattering coefficients
• An inverse problem without the phase information

Cited by in corpus (7)

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• Uniqueness in phaseless inverse scattering problems with superposition of incident point sources
• Uniqueness in inverse acoustic scattering with phaseless near-field measurements
• Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency
• Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency
• Uniqueness results on phaseless inverse scattering with a reference ball