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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2756–2765

Transmission of a Gaussian beam by a Fizeau interferential wedge

Elena Stoykova  »View Author Affiliations

JOSA A, Vol. 22, Issue 12, pp. 2756-2765 (2005)

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Analysis of transmission of a finite-diameter Gaussian beam by a Fizeau interferential wedge is presented. The fringe calculation is based on angular spectrum expansion of the complex amplitude of the incident wave field. The developed approach is applicable to any beam diameter and wedge thickness at any distance from the wedge and yields as a boundary case the fringes at plane-wave illumination. The spatial region of resonant transmission on the wedge surface is given by the width of the transmitted peak for plane-wave illumination. At higher coating reflectivity, the direction of the transmitted beam is deviated with respect to that of the incident beam. Evaluation of the spectral response based on the spectral width of the transmitted power curve is introduced as more realistic for a correct description of the application of a Fizeau wedge as an interferential selector in laser resonators.

© 2005 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

Elena Stoykova, "Transmission of a Gaussian beam by a Fizeau interferential wedge," J. Opt. Soc. Am. A 22, 2756-2765 (2005)

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  1. M. Born and E. Wolf, Principles of Optics (Pergamon, 1980).
  2. M. V. Mantravardi, "Newton, Fizeau and Haidinger interferometers," in Optical Shop Testing, D.Malacara, ed. (Wiley-Interscience, 1992), pp. 1-49.
  3. R. Józwicki, M. Kujawinska, and L. Salbut, "New contra old wavefront measurement concepts for interferometric optical testing," Opt. Eng. 31, 422-433 (1992).
  4. B. V. Dorrio, A. Doval, C. Lopez, R. Soto, J. Blanco-Garcia, J. Fernandez, and M. Perez-Amor, "Fizeau phase-measuring interferometry using the moiré effect," Appl. Opt. 34, 3639-3643 (1995).
  5. B. V. Dorrio, C. Lopez, J. Alen, J. Bugarin, A. Fernandez, A. Doval, J. Blanco-Garcia, M. Perez-Amor, and J. Fernandez, "Multiplicative moiré two-beam phase-stepping and Fourier-transform methods for the evaluation of multiple-beam Fizeau patterns: a comparison," Appl. Opt. 37, 1945-1952 (1998).
  6. M. Morris, T. McIlrath, and J. Snyder, "Fizeau wavemeter for pulsed laser wavelength measurement," Appl. Opt. 23, 3862-3868 (1984).
  7. C. Reiser and B. Lopert, "Laser wavemeter with solid Fizeau wedge interferometer," Appl. Opt. 27, 3656-3660 (1988).
  8. J. Snyder and T. Hansch, "Direct frequency approaches impact wavelength meters," Laser Focus World, February 1990, pp. 69-76.
  9. E. Alipieva, E. Stoykova, and V. Nikolova, "Wavemeter with Fizeau interferometer for CW lasers," in Laser Physics and Applications, P.Atanassov and S.Kartaleva, eds., Proc. SPIE 4397, 129-133 (2001).
  10. T. Kajava, H. Lauranto, and R. Salomaa, "Fizeau interferometer in spectral measurements," J. Opt. Soc. Am. B 10, 1980-1989 (1993).
  11. T. Kajava, H. Lauranto, and A. Friberg, "Interference pattern of the Fizeau interferometer," J. Opt. Soc. Am. A 11, 2045-2054 (1994).
  12. Y. Meyer and M. Nenchev, "Single-mode dye laser with a double-action Fizeau interferometer," Opt. Lett. 6, 119-121 (1981).
  13. M. Nenchev, M. Martin, and Y. Meyer, "Alternate wavelength DIAL dye laser using a reflecting interference wedge," Appl. Opt. 24, 1957-1959 (1985).
  14. M. Deneva, E. Stoykova, and M. Nenchev, "A novel technique for a narrow-line selection and wideband tuning of Ti3+:Al2O3 and dye lasers," Rev. Sci. Instrum. 67, 1705-1714 (1996).
  15. M. Gorris-Neveux, M. Nenchev, R. Barbe, and J.-C. Keller, "A two-wavelength, passively self-injection locked, cw Ti3+:Al2O3 laser," IEEE J. Quantum Electron. 31, 1260-1263 (1995).
  16. M. Deneva, D. Slavov, E. Stoykova, and M. Nenchev, "Improved passive self-injection locking method for spectral control of dye and Ti:Al2O3 lasers using two-step pulse pumping," Opt. Commun. 139, 287-298 (1997).
  17. M. Nenchev, A. Deleva, E. Stoykova, Z. Peshev, T. Patrikov, and A. Gizbrekht, "Controlled time-delayed pulses operation of a two-wavelength combined dye-Ti:Al2O3 laser," Opt. Commun. 86, 405-408 (1991).
  18. E. Stoykova and M. Nenchev, "Strong optical asymmetry of an interference wedge with unequal reflectivity mirrors and its use in unidirectional ring laser designs," Opt. Lett. 19, 1925-1927 (1994).
  19. E. Stoykova and M. Nenchev, "Fizeau wedge with unequal mirrors for spectral control and coupling in a linear laser oscillator-amplifier system," Appl. Opt. 40, 5402-5412 (2001).
  20. Y. Meyer, "Fringe shape with an interferential wedge," J. Opt. Soc. Am. 71, 1255-1261 (1981).
  21. A. Pomeranski and U. Tomashevski, "Spatial structure of multiple Fizeau interference," Opt. Spektrosk. 45 (No. 4), 773-779 (1978) (in Russian).
  22. M. Nenchev and E. Stoykova, "Interference wedge properties relevant to laser applications: transmission and reflection of the restricted light beams," Opt. Quantum Electron. 25, 789-799 (1993).
  23. E. Stoykova and M. Nenchev, "Reflection and transmission of unequal mirrors interference wedge," Opt. Quantum Electron. 28, 155-167 (1996).
  24. J. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
  25. G. S. Smith, An Introduction to Classical Electromagnetic Radiation (Cambridge U. Press, 1997).
  26. E. Nichelatti and G. Salvetti, "Spatial and spectral response of a Fabry-Perot interferometer illuminated by a Gaussian beam," Appl. Opt. 34, 4703-4712 (1995).
  27. H. Lauranto, A. Friberg, and T. Kajava, "Influence of the finite aperture and observation of higher longitudinal-order fringes in Fizeau interferometry," Opt. Eng. 34, 2623-2630 (1995).

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