Abstract

We propose a simple method to calculate the phase measured by a two-wavelength interferometer. Our experiment showed that the fitting coefficient with respect to the phase was obtained with a final accuracy of 7.9×10-5.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |

  1. Hirokazu Matsumoto and Lijiang Zeng, �??Two-color interferometer for surface characterization using two frequency doublers and a four-phase-step method,�?? Appl. Opt. 35, 2179-2181 (1996).
    [CrossRef] [PubMed]
  2. Hirokazu Matsumoto, Yucong Zhu, Shigeo Iwasaki, Tadanao O�??ishi, �??Measurement of the changes in air refractive index and distance by means of a two-color interferometer,�?? Appl. Opt. 31, 4522-4526 (1992).
    [CrossRef] [PubMed]
  3. Peter J. de Groot. �??Extending the unambiguous range of two-color interferometers,�?? Appl. Opt. 33, 5948-5953 (1994).
    [CrossRef] [PubMed]
  4. Max Born and Emil Wolf, Principles of Optics (Cambridge University Press, 1999), p.324.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1.
Fig. 1.

Experimental setup. M: reflective mirror; BS0, BS1, BS2: beam splitters; A: aperture; D: detector; PZT: piezoelectric element; VS: variable mechanical stage; LD: red laser diode; Nd:YVO4: green laser; VND: variable neutral density filter.

Fig. 2.
Fig. 2.

Experimental raw and theoretical curve-fitting results. Circle points and solid lines are respectively the experimental raw data and corresponding fitted result. The count points of the raw data and fitted results are 400.

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

I = I 1 + I 2 ,
I 1 = I 10 [ 1 + C 1 cos ( 2 π Δ L λ 1 ) ] ,
I 2 = I 20 [ 1 + C 2 cos ( 2 π Δ L λ 2 ) ] ,
I = I 10 + I 20 + [ I 10 2 C 1 2 + I 20 2 C 2 2 + 2 I 10 C 1 I 20 C 2 cos ( 2 π Δ L λ s ) ] 1 2 cos ( 2 π Δ L λ 1 + φ 0 ) ,
φ 0 = tan 1 { sin ( 2 π Δ L λ s ) [ ( I 10 C 1 ) ( I 20 C 2 ) + cos ( 2 π Δ L λ s ) ] } ,
λ s = ( 1 λ 2 1 λ 1 ) 1 .
Δ L = ( m 1 + Φ 1 2 π ) λ 1 = ( m 2 + Φ 2 2 π ) λ 2 = ( m s + Φ s 2 π ) Λ ,
I f = a + b cos ( c x + d ) + e cos ( c x λ 1 λ 2 + f ) ,
I f = a + [ b 2 + e 2 + 2 b e cos ( c x λ 1 λ s + f d ) ] 1 2 cos ( c x + φ f ) ,
φ f = tan 1 { [ b sin d + e sin ( c x λ 1 λ s + f ) ] [ b cos d + e cos ( c x λ 1 λ s + f ) ] } .
Φ s = 2 π 2 π c x max λ 1 λ s ,

Metrics