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

Phase retrieval of reflection and transmission coefficients from Kramers–Kronig relations

Not Accessible

Your library or personal account may give you access

Abstract

Analytic and passivity properties of reflection and transmission coefficients of thin-film multilayered stacks are investigated. Using a rigorous formalism based on the inverse Helmholtz operator, properties associated with the causality principle and passivity are established when both the temporal frequency and spatial wave vector are continued in the complex plane. This result extends the range of situations where the Kramers–Kronig relations can be used to deduce the phase from the intensity. In particular, it is rigorously shown that the Kramers–Kronig relations for reflection and transmission coefficients remain valid for all fixed angles of incidence. Possibilities for exploiting the new relationships are discussed and numerically tested.

© 2015 Optical Society of America

Full Article  |  PDF Article
More Like This
Causality and Kramers-Kronig relations for waveguides

Magnus W. Haakestad and Johannes Skaar
Opt. Express 13(24) 9922-9934 (2005)

Validity of the Kramers-Kronig transformation used in reflection spectroscopy

Ralph H. Young
J. Opt. Soc. Am. 67(4) 520-523 (1977)

Use of Kramers–Kronig relation in phase retrieval calculation in X-ray spectro-ptychography

Makoto Hirose, Kei Shimomura, Nicolas Burdet, and Yukio Takahashi
Opt. Express 25(8) 8593-8603 (2017)

References

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 Optica member, or as an authorized user of your institution.

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

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

Figures (5)

You do not have subscription access to this journal. Figure files 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 (26)

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

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved