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Spectrum and time modulation in measurements of optical signals and transfer functions varying in time

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Journal of Russian Laser Research Aims and scope

Abstract

A solution of the phase problem in optics is considered as applied to the analysis of time-dependent signals and transfer functions describing optical features of the object under study. In particular, we analyze signals and processes of extremely short duration. A simulataneous analysis of the structure of the initial optical signal and of the amplitude and phase action of the object on the signal is performed. The modulation-spectrum approach is used to obtain the required information on the time behavior of the amplitude and phase of the optical testing signal before and after its interaction with the object. The object's influence is characterized by an additional modulation of the radiation. In order to obaain the information, the intensity distribution of the spectra of the testing signal passed through the object, of the signal subjected to an additional spectrum modulation and then passed through the object, and of the corresponding signals additionally modulated in time is detected. The modulation should provide, to a certain degree, a visualization of the phase information. The intensity distributions obtained in this way make it possible to calculate the structure of the signal under study and that of the time-dependent function that describes the object influence on the radiation.

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References

  1. S. L. Shapiro (editor),Ultrashort Light Pulses, Springer, Berlin (1977).

    Google Scholar 

  2. G. V. Glebovich, A. V. Andriyanov, Yu. V. Vvedenskii, I. P. Kovalev, V. V. Krylov, and Yu. A. Ryabinin,Study of Objects by Picosecond Pulses [in Russian], Radio i Svyaz', Moscow (1984).

    Google Scholar 

  3. S. A. Akhmanov, V. A. Visloukh, and A. S. Chirkin,Optics of Femtosecond Laser Pulses [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  4. P. G. Kryukov, “Laser ultrashort pulses and their application,” in: V. A. Isakov and P. L. Presnyakov (eds.),Fundamental Optics and Spectroscopy [in Russian], P. N. Lebedev Physical Institute, Moscow (1998), p. 20.

    Google Scholar 

  5. M. M. Butslov, B. M. Stepanov, and S. D. Fanchenko,Electron-Optical Image Intensifiers and Their Applications to Scientific Research [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  6. L. A. Novitskii and B. M. Stepanov,Photometry of Fast Processes: Handbook [in Russian], Mashinostroenie, Moscow (1983).

    Google Scholar 

  7. D. J. Bradley and H. C. New Gtoffrey,Proc. IEEE,62, 313 (1974).

    Article  Google Scholar 

  8. T. I. Kuznetsova, “Features of certain methods for detection of ultrashort light pulses,” Preprint No. 47 of the P. N. Lebedev Physical Institute, Moscow (1968).

  9. T. I. Kuznetsova, “Temporal characteristics of laser pulses and interaction of laser radiation with matter,” in:Proceedings of the P. N. Lebedev Physical Institute, Nauka, Moscow (1975), Vol. 84, p. 62.

    Google Scholar 

  10. I. Walmsley and R. Trebino,Optics and Photonics News (March 1996), p. 24; 33.

  11. V. A. Zubov, A. V. Kraiskii, and T. I. Kuznetsova,Pis'ma Zh. Éksp. Teor. Fiz.,13, 443 (1971).

    Google Scholar 

  12. V. N. Borkova, V. A. Zubov, and A. V. Kraiskii, “Holographic recording with nonstationary-wave reference beam,” in:Proceedings of the P. N. Lebedev Physical Institute, Nova Science, New York (1966), Vol. 211, p. 94.

    Google Scholar 

  13. V. N. Borkova, A. V. Kraiskii, and V. A. Zubov,J. Russ. Laser Res.,19, 1 (1998).

    Google Scholar 

  14. Yu. T. Mazurenko,Kvantovaya Élektron.,12, 1235 (1985).

    Google Scholar 

  15. Yu. T. Mazurenko, S. E. Putilin, V. V. Kuznetsov, and L. M. Lavrenov,Opt. Spektrosk.,71, 385 (1991).

    Google Scholar 

  16. A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek,Opt. Lett.,17, 224 (1992).

    Article  ADS  Google Scholar 

  17. Yu. T. Mazurenko,Opt. Zh.,61, 40 (1994).

    Google Scholar 

  18. A. K. Rebane, R. K. Kaarli, and P. M. Saari,Pis'ma Zh. Éksp. Teor. Fiz.,38, 320 (1983).

    Google Scholar 

  19. P. M. Saari and A. K. Rebane,Izv. AN ÉSSR, Fiz. -Mat.,33, 322 (1984).

    Google Scholar 

  20. P. M. Saari,Proceedings of the Institute of Physics of AN ÉSSR (Tartu),59, 157 (1986).

    Google Scholar 

  21. H. A. Ferverda, “The problem of wavefront phase reconstruction by amplitude distribution and coherence function,” in: H. P. Baltes (ed.),Inverse Source Problems in Optics, Springer, Berlin (1978) [Russian translation: Mashinostroenie, Moscow (1984), p. 21].

    Google Scholar 

  22. T. I. Kuznetsova,Usp. Fiz. Nauk,154, 677 (1988).

    Google Scholar 

  23. T. I. Kuznetsova, “Study of the phase problem in optics,” in:Optics and Lasers, Proceedings of the P. N. Lebedev Physical Institute, Nova Science, New York (1991), Vol. 211, p. 38.

    Google Scholar 

  24. V. A. Zubov,Kvantovaya Elektron.,14, 1715 (1987).

    Google Scholar 

  25. V. A. Zubov,Kvantovaya Elektron.,17, 229 (1990).

    Google Scholar 

  26. V. A. Zubov,Kvantovaya Elektron.,23, 378 (1996).

    Google Scholar 

  27. V. A. Zubov and A. A. Merkin,J. Russ. Laser Res.,20, 301 (1999).

    Google Scholar 

  28. E. B. Treacy,Appl. Phys. Lett.,17, 14 (1970).

    Article  ADS  Google Scholar 

  29. A. A. Sychev, “Investigation of the spectral composition of solid-state laser radiation,” in:Proceedings of the P. N. Lebedev Physical Institute, Nauka, Moscow (1982), Vol. 84, p. 3.

    Google Scholar 

  30. M. Born and E. Wolf,Principles of Optics, Pergamon Press, Oxford (1980).

    MATH  Google Scholar 

  31. L. D. Landau and E. M. Lifshits,Field Theory [in Russian], Nauka, Moscow (1988).

    MATH  Google Scholar 

  32. A. Papoulis,Systems and Transforms with Applications in Optics, McGraw-Hill, New York (1968).

    Google Scholar 

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Translated from a manuscript submitted October 2, 1999.

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Zubov, V.A., Merkin, A.A. Spectrum and time modulation in measurements of optical signals and transfer functions varying in time. J Russ Laser Res 21, 168–181 (2000). https://doi.org/10.1007/BF02508568

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