Quick search Find article
Quick search
Find article

Enhanced angular resolution from multiply scattered waves

Clifford J Nolan1, Margaret Cheney2, Thomas Dowling1 and Romina Gaburro1

Show affiliations


Multiply scattered waves are often neglected in imaging methods, largely because of the inability of standard algorithms to deal with the associated non-linear models. This paper shows that by incorporating a known environment into the background model, we not only retain the benefits of imaging techniques based on linear models, but also obtain different views of the target scatterer. The net result is an enhanced angular resolution of the target to be imaged. We carry out our analysis in the context of high-frequency radar imaging, in which a steerable beam from a moving platform is used to produce an image of a region on the earth's surface (the target scatterers being buildings, etc). We consider the case where the target we want to image is situated in the vicinity of an a priori known reflecting wall. This is one of the simplest possible multipathing environments for the scatterer, and in the case when the illuminating beam is narrow enough to isolate different scattering paths, we will show that the imaging process achieves enhanced angular resolution. Although we carry out our analysis here in the context of radar, our technique is general enough that it can be adapted to many imaging modalities, such as acoustics, ultrasound, elasticity, etc. The extension of the method to other more complicated environments is also possible.


PACS

42.30.Va Image forming and processing

91.30.-f Seismology

41.20.Jb Electromagnetic wave propagation; radiowave propagation

43.60.Pt Signal processing techniques for acoustic inverse problems

02.30.Zz Inverse problems

MSC

78A40 Waves and radiation

86A15 Seismology

78A46 Inverse scattering problems

35R30 Inverse problems (undetermined coefficients, etc.) for PDE

78A25 Electromagnetic theory, general

Subjects

Mathematical physics

Accelerators, beams and electromagnetism

Optics, quantum optics and lasers

Environmental and Earth science

Dates

Issue 5 (October 2006)

Received 11 April 2006, in final form 20 July 2006

Published 18 September 2006



  1. Enhanced angular resolution from multiply scattered waves

    Clifford J Nolan et al 2006 Inverse Problems 22 1817

  2. Effect of air annealing on opto-electrical properties of amorphous tin oxide films

    B Alterkop et al 2003 J. Phys. D: Appl. Phys. 36 552

  3. A mass spectrometric study of positive and negative ion formation in an SF6 corona. I. Sources of sulphur-fluoride ions

    I Sauers and G Harman 1992 J. Phys. D: Appl. Phys. 25 761

  4. BIPM Neutron-Dosimetry Intercomparison

    V D Huynh 1992 Metrologia 29 295

  5. IGEC toolbox for coincidence search

    L Baggio et al 2002 Class. Quantum Grav. 19 1541

  6. Numerov's method for inverse Sturm–Liouville problems

    Alan L Andrew 2005 Inverse Problems 21 223

  7. Honeycomb lattice polygons and walks as a test of series analysis techniques

    Iwan Jensen 2006 J. Phys.: Conf. Ser. 42 163

  8. Spin foam models of Yang–Mills theory coupled to gravity

    A Miković 2003 Class. Quantum Grav. 20 239

  9. Aleksandr Danilovich Aleksandrov (on his seventy-fifth birthday)

    Yu F Borisov et al 1988 Russ. Math. Surv. 43 191

  10. Generalized Gross - Perry - Sorkin-like solitons

    Alfredo Macías and Tonatiuh Matos 1996 Class. Quantum Grav. 13 345

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Imaging that exploits multipath scattering from point scatterers
  2. Microlocal structure of inverse synthetic aperture radar data
  3. Imaging moving targets from scattered waves
More

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.