Autors: Stoykova Е., Nazarova D., Nenchev M., Deneva, M. A.
Title: Modelling of transmission for a stack of two Fizeau wedges with matched parameters
Keywords: Interferential wedge, Fizeau wedge, optical elements, interf

Abstract: A conventional Fizeau wedge (FW) is built of two flat reflecting surfaces inclined at a small angle. They form a gap with linearly increasing thickness normally to the wedge ridge. Such FWs with apex angles of 5–100 microradians and 5–1000 micrometers thickness find application in optical metrology, spectroscopy and laser spectral control. The apex angle, the reflection coefficients and the refractive index in the gap form a unique interference pattern on both FW’s sides. To benefit from a large free spectral range of thin wedges and high spectral resolution of thick wedges, recently we proposed a stack of two FWs with matched parameters. Matching provides the same change of the resonant wavelength at the same lateral displacement of both wedges. The aim of this study is to develop a technique for calculation of the resultant transmission of the stack of two matched wedges at plane wave illumination that is based on determination of the number and optical path differences of the rays.


  1. Born, M. and Wolf, E., 1999, Principles of Optics, Cambridge, Cambridge University Press
  2. Belmonte A. and Lázaro, A., 2006, Measurement uncertainty analysis in incoherent Doppler lidars by a new scattering approach, Opt. Express, Volume 14, pp. 7699-7708
  3. Kajava, T. , Lauranto, H. and Saloma, R., 1993, Fizeau interferometer in spectral measurements, J. Opt. Soc. Am. B, Volume 10, pp. 1980–1989
  4. Kumar, Y. and Chatterjee, S., 2009, Simultaneous measurement of refractive index and wedge angle of optical windows using Fizeau interferometry and a cyclic path optical configuration, Appl.Opt., Volume 48 (24), pp. 4756-4761
  5. Siddique, M., Yang, S., Li, Z. and Li, P., 2007, Fizeau interferometery for THz-waves' frequency and intensity measurement, J. Beijing Institute of Technology, Volume 6(3), pp. 0437
  6. Nenchev, M.N. and Meyer, Y.H., 1981, Two-wavelength dye-laser operation using a reflecting Fizeau interferometer, Appl. Phys., Volume 24, pp. 7-9
  7. Stoykova, E. and Nenchev, M., 2001, Fizeau wedge with unequal mirrors for spectral control and coupling in a linear laser oscillator-amplifier system, Apl.Optics., Volume 40 (27), pp. 5402-5411
  8. Deneva, M., Uzunova, P. and Nenchev, M., 2007, Tunable subnanosecond laser pulse generation using an active mirror concept, Opt. Quant. Electron., Volume 27(39), pp. 193-212
  9. Nenchev, M. and Stoykova, E., 1993, Interference wedge properties relevant to laser applications: transmission and reflection of the restricted light beams, Opt. Quant. Electron., Volume 25, pp. 789-799
  10. Stoykova, E., 2005, Transmission of a Gaussian beam by a Fizeau interferential wedge, J. Opt. Soc. Am. A, Volume 22, pp. 2756-2765
  11. Stoykova, E. and Nenchev, M., 2010, Gaussian beam interaction with air-gap Fizeau wedge, J. Opt. Soc. Am., Volume 27, pp. 58-68
  12. Nenchev, M., Stoykova, E., Deneva, M.,, 2018, Composite wavelength tunable wedged interference structures with increased free spectral range, Opt. Quant. Electron., Volume 50, pp. 433-444
  13. E. Stoykova, M. Nenchev, M. Deneva, 2018, Increase of the free-spectral range by composing a structure from wavelength tunable wedged interferometers, Proc. SPIE, Optical Sensing and Detection V, Volume 10680, 106801K, pp. 106801K-1-106801K-8


SPIE Optical Metrology, pp. стр. стр. 117830A-1-117830A-7, 2021, United States,

Copyright Society of Photo-Optical Instrumentation Engineers (SPIE)

Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science