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Applied Optics

Applied Optics


  • Vol. 43, Iss. 10 — Apr. 1, 2004
  • pp: 2013–2022

Simultaneous absolute measurements of principal angle and phase retardation with a new common-path heterodyne interferometer

Yu-Lung Lo, Chun-Hau Lai, Jing-Fung Lin, and Ping-Feng Hsu  »View Author Affiliations

Applied Optics, Vol. 43, Issue 10, pp. 2013-2022 (2004)

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This study demonstrates a new method for simultaneously measuring both the angle of the principal axis and the phase retardation of the linear birefringence in optical materials. We used a circular common-path interferometer (polariscope) as the basic structure modulated by an electro-optic (EO) modulator. An algorithm was developed to simultaneously measure the principal axis and the phase retardation of a λ/4 or λ/8 plate as a sample. In the case of a λ/4 plate, the average absolute error of the principal axis is approximately 3.77°, and that of the phase retardation is approximately 1.03° (1.09%). The retardation error is within the 5% uncertainty range of a commercial wave plate. Fortunately, the nonlinear error caused by the reflection phase retardation of the beam splitter dose not appear in the new system. Therefore the error could be attributed to misalignment and defects in the EO modulator or the other optical components. As for the repeatability of this new common-path heterodyne interferometer, the average deviation for the principal axis is 0.186° and the phase retardation is 0.356°. For the stability, the average deviation for the principal axis is 0.405° and the phase retardation is 0.635°. The resolution of this new system is estimated to be ∼0.5°, and the principal axis and phase retardation could be measured up to π and 2π, respectively, without ambiguity.

© 2004 Optical Society of America

OCIS Codes
(060.4080) Fiber optics and optical communications : Modulation
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(120.5410) Instrumentation, measurement, and metrology : Polarimetry

Original Manuscript: June 3, 2003
Revised Manuscript: December 4, 2003
Published: April 1, 2004

Yu-Lung Lo, Chun-Hau Lai, Jing-Fung Lin, and Ping-Feng Hsu, "Simultaneous absolute measurements of principal angle and phase retardation with a new common-path heterodyne interferometer," Appl. Opt. 43, 2013-2022 (2004)

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