The problem of finding the dielectric constant of a slab from the reflection data is considered. It is shown that a recently developed method by Trantanella et al. [J. Opt. Soc. Am. A 12, 1469 (1995)], which is based on an interesting extension of the Born approximation, is intimately related to the Schwinger variational solution. This remarkable relation enables one to extend the class of profiles that can be reconstructed, evaluate analytically some of the quantities that were found approximately by Trantanella et al., thus simplifying the numerical computations, and also arrive at a systematic development of a sequence of more accurate extensions of the Born inversion method. To illustrate the proposed inversion procedures, an exactly solvable analytical example is presented.

© 1998 Optical Society of America

[Optical Society of America ]

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

Related Journal Articles

• Ocean Optics Estimation for Absorption, Backscattering, and Phase Function Parameters (AO)
• Irradiance Inversion Theory to Retrieve Volume Scattering Function of Seawater (AO)
• Matrix approach to quantitative refractive index analysis by Fourier domain optical coherence tomography (JOSAA)
• Particle size and refractive index retrieval from the backscattering spectrum of white light using the Twomey iterative method: simulation and experiment (AO)
• Application of Mie theory to determine the structure of spheroidal scatterers in biological materials (OL)

Related Conference Papers

• Near-Field Scanning Optical Tomography
• Probing Random Media with Singular Beams
• Feasible Light Fields in Three-Dimensional Space
• Determination of Intracellular Distributions of Refractive Index of B-cells and HL60 cells at 442, 633 and 850nm
• Comparison of the Mie Theory and T-Matrix Methods for Estimating the Size of Cell Nuclei