Statistical Properties And Application Of Two-Wavelength Speckles

A. F. Fercher; U. Vry

doi:10.1117/12.949558

25 November 1985 Statistical Properties And Application Of Two-Wavelength Speckles

A. F. Fercher, U. Vry

Proceedings Volume 0556, Intl Conf on Speckle; (1985) https://doi.org/10.1117/12.949558
Event: 29th Annual Technical Symposium, 1985, San Diego, United States

Abstract

If a rough surface is illuminated by a coherent light wave of wavelength λ1 it is not possible to determine the surface profile from the phases of the speckle field formed by the scattered light. If the rough surface is illuminated, however, by an additional coherent wave of wavelength λ2, the phase differences between the two speckle fields do contain information about the macroscopic surface profile even if subject to a statistical error. We present the pertinent statistical properties of dichromatic speckle fields and show (1) that the macroscopic surface profile may be determined from the phase differences if the effective wavelength Δ = λ1λ2/|λ1-λ2| sufficiently larger than the standard deviation of the microscopic profile of the illuminated surface and (2), that the statistical error is reasonably small if the phase measurements are obtained from speckles with sufficient intensity.

Citation Download Citation

A. F. Fercher and U. Vry "Statistical Properties And Application Of Two-Wavelength Speckles", Proc. SPIE 0556, Intl Conf on Speckle, (25 November 1985); https://doi.org/10.1117/12.949558

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available