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Multiple beam interference; laser radiation; computerized images.

A quadratic model is suggested to describe the fringe shift occurred due to the phase variations of uncladded glass fiber introduced between the two plates of the liquid wedge interferometer. The fringe shift of the phase object is represented in the harmonic term which appears in the denominator of the Airy distribution formula of Fabry-Perot's interferometer. A computer program is written to plot the computed fringe shifts of the described model.

An experiment is conducted using liquid wedge interferometer where the fiber of a nearly quadratic thickness variation is introduced between the two plates of the interferometer. The obtained fringe shift shows a good agreement with the proposed quadratic model. Also, it is compared with the previous theoretical shift based on ray optics of semi-circular shape.

A M Hamed^{1 2}

1. Physics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
2. Physics Department, Sur College of Applied Science, P.O. Box 484, Postal Code 411, Sultanate of Oman

Published

April 2008

Manuscript received

4 March 2006

Manuscript revised

7 October 2007

Accepted

5 December 2007