Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Variational principles and the one-dimensional profile reconstruction

Not Accessible

Your library or personal account may give you access

Abstract

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

Full Article  |  PDF Article
More Like This
Beyond the Born approximation in one-dimensional profile reconstruction

Charles J. Trantanella, Donald G. Dudley, and Khalid A. Nabulsi
J. Opt. Soc. Am. A 12(7) 1469-1478 (1995)

Reconstruction of one-dimensional dielectric profiles

Giuseppe Mazzarella and Gaetano Panariello
J. Opt. Soc. Am. A 8(10) 1622-1629 (1991)

Information content of Born scattered fields: results in the circular cylindrical case

Adriana Brancaccio, Giovanni Leone, and Rocco Pierri
J. Opt. Soc. Am. A 15(7) 1909-1917 (1998)

Cited By

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (60)

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved