Gauge  equivalence in stationary radiative transport through media  with varying index of refraction

Stephen McDowall; Plamen Stefanov; Alexandru Tamasan

doi:10.3934/ipi.2010.4.151

Article Contents

2010, Volume 4, Issue 1: 151-167. Doi: 10.3934/ipi.2010.4.151

This issue Previous Article Identification of sound-soft 3D obstacles from phaseless data Next Article Particle filtering, beamforming and multiple signal classification for the analysis of magnetoencephalography time series: a comparison of algorithms

Gauge equivalence in stationary radiative transport through media with varying index of refraction

1.
Department of Mathematics, Western Washington University, Bellingham, WA 98225-9063
2.
Department of Mathematics, Purdue University, 150 N University Street, West Lafayette, IN 47907
3.
Department of Mathematics, University of Central Florida, Orlando, FL 32816

Received: April 2009

Revised: December 2009

Published: February 2010

Abstract Related Papers Cited by

Abstract

Three dimensional anisotropic attenuating and scattering media sharing the same albedo operator have been shown to be related via a gauge transformation. Such transformations define an equivalence relation. We show that the gauge equivalence is also valid in media with non-constant index of refraction, modeled by a Riemannian metric. The two dimensional model is also investigated.

Keywords:

Inverse transport,
gauge equivalence.

Mathematics Subject Classification: Primary: 35R30; Secondary: 78A46.

Citation:

Article Metrics

HTML views() PDF downloads(82) Cited by(0)

Gauge equivalence in stationary radiative transport through media with varying index of refraction

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Gauge equivalence in stationary radiative transport through media with varying index of refraction

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content