Phase Estimation in Optical Interferometry

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Chapter 8

Phase Unwrapping

David R. Burton

Liverpool John Moores University

General Engineering Research Institute

Liverpool, United Kingdom

8.1 INTRODUCTION

Commonly, phase determination systems employed in interferometric

analysis eectively conclude with an expression of the form

φ=













1

2

arctan

f

f

(8.1)

where f

1

and f

2

are functions of the gray levels within the original fringe

pattern image, and ϕ is the phase value within a single fringe.

e exact nature of the terms f

1

and f

2

will depend on the fringe analysis

technique employed. For example, if phase shiing has been the basis of the

technique, then the terms will be a series of intensi ...