Choosing a phase-measurement algorithm for measurement of coated LIGO optics

Katherine Creath

doi:10.1117/12.498386

7 March 2006 Choosing a phase-measurement algorithm for measurement of coated LIGO optics

Katherine Creath

Proceedings Volume 4101, Laser Interferometry X: Techniques and Analysis; (2006) https://doi.org/10.1117/12.498386
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

High precision measurements of nearly flat highly reflective surfaces present many problems when using a phase-measuring Fizeau interferometer. Since a coated reference surface is required to yield good fringe contrast with a high reflectance test surface, the interference fringes are likely to deviate from being perfectly sinusoidal. Utilizing phase-measurement algorithms that take data over a 2-wavelength range of phase shifter motion can help reduce the effects of errors due to nonsinusoidal fringes. If linear and 2nd-order phase shifter errors are present, the greater number of frames of fringe data can aid in making a better estimate of the phase. Eight algorithms that have been published in the literature are compared using simulations and experimental measurements. From this study, it was determined that a 12-frame algorithm having 60° (?/3) phase shifts developed by Surrel had superior performance when used with a Clapham-Dew type coated reference surface and a high reflectance test surface. Residual errors in the phase calculation were found to be reducible to a few thousandths of a wave peak-to-valley.

Citation Download Citation

Katherine Creath "Choosing a phase-measurement algorithm for measurement of coated LIGO optics", Proc. SPIE 4101, Laser Interferometry X: Techniques and Analysis, (7 March 2006); https://doi.org/10.1117/12.498386

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