Abstract
A solution to the phase problem in optics is considered for time-varying signals, in particular, of extremely short duration. The modulation-spectrum method is used to obtain information concerning amplitude and phase variations of the optical signal. The intensity distribution is directly, detected for the spectrum of the signal itself and of the signal additionally modulated in a special way. The modulation should provide a visualization of the phase information. The intensity distribution obtained makes it possible to calculate the structure of the initial signal. Three approaches toward analyzing the signals are considered in the paper. The first one is to analyze, the signal whose characteristics vary in time. The second one is to study temporal optical characteristics of the medium or the object under investigation by using a probing radiation of a prescribed structure and measuring the parameters of the radiation passed through the object. The third way is to determine simultaneously the structure of the signal that varies in time and the structure of the transfer function responsible for the influence of the medium, object, or optical system on the propagating signal.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D. J. Bradley and H. C. New Gtoffrey,Proc. IEEE,62, 313 (1974).
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).
L. A. Novitskii and B. M. Stepanov,Photometry of Rapid Processes. Handbook [in Russian], Mashinostroenie, Moscow (1983).
T. I. Kuznetsova, “Features of certain methods for detection of ultrashort light pulses” [in Russian], Preprint No. 47 of the Lebedev Physical Institute, Moscow (1968).
T. I. Kuznetsova, in:Temporal Characteristics of Laser Pulses and Interaction of Laser Radiation with Matter, Proceedings of the P. N. Lebedev Physical Institute [in Russian], Nauka, Moscow (1975), Vol. 84, p. 62.
V. A. Zubov, A. V. Kraiskii, and T. I. Kuznetsova,Pis'ma Zh Éksp. Teor. Fiz.,13, 443 (1971).
V. A. Zubov and T. I. Kuznetsova,Kvantovaya Élektron.,1, 135 (1973).
Yu. T. Mazurenko,Kvantovaya Élektron.,12, 1235 (1985).
Yu. T. Mazurenko, S. E. Putilin, V. V. Kuznetsov, and L. M. Lavrenov,Opt. Spektrosk.,71, 385 (1991).
A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek,Opt. Lett.,17, 224 (1992).
Yu. T. Mazurenko,Opticheskii Zh.,61, 40 (1994).
A. K. Rebane, R. K. Kaarli, and P. M. Saari,Pis'ma Zh. Éksp. Teor. Fiz.,38, 320 (1983).
P. M. Saari and A. K. Rebane,Izv. AN ÉSSR Fiz.-Mat.,33, 322 (1984).
P. M. Saari,Proceedings of the Institute of Physics of the Academy of Sciences of the ÉSSR (Tartu),59, 157 (1986).
V. I. Malyshev, A. V. Masalov, and A. A. Sychev,Zh. Éksp. Teor. Fiz.,59, 48 (1970).
E. B. Treacy,Appl. Phys. Lett.,17, 14 (1970).
A. A. Sychev, “Investigation of spectral composition of solid-state laser radiation,” in:Temporal Characteristics of Laser Pulses and Interaction of Laser Radiation with Matter, Proceedings of the P. N. Lebedev Physical Institute, [in Russian], Nauka, Moscow (1975), Vol. 84, p. 3.
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).
T. I. Kuznetsova,Usp. Fiz. Nauk,154, 677 (1988).
T. I. Kuznetsova, “Study of phase problem in optics,” in:Optics and Lasers, Proceedings of the P. N. Lebedev Physical Institute, Nova Science, New York (1996), Vol. 211, p. 62.
G. V. Glebovich, A. V. Andriyanov, Yu. V. Vvedenskii, et al.,Study of Objects by Picosecond Pulses, [in Russian], Radio Svyaz', Moscow (1984).
V. A. Zubov,Kvantovaya Élektron.,14 1715 (1987).
V. A. Zubov,Kvantovaya Élektron.,17, 229 (1990).
V. A. Zubov,Kvantovaya Élektron.,23, 378 (1996).
M. Born and E. Wolf,Principles of Optics, Pergamon Press, Oxford (1980).
L. D. Landau and E. M. Lifshits,Field Theory [in Russian], Nauka, Moscow (1988).
A. Papoulis,Systems and Transoforms with Applications in Optics, McGraw-Hill, New York (1968).
G. I. Vasilenko and A. A. Taratorkin,Reconstruction of Image [in Russian], Radio Svyaz', Moscow (1986).
H. Stark (Ed.),Applications of Optical Fourier Transforms, Academic Press, New York (1982).
R. H. Bates and T. McDonnellImage Restoration and Reconstruction, Clarendon, Oxford (1986).
B. C. McCallum and J. M. Rodenburg,J. Opt. Soc. Am. A,10, 231 (1993).
T. V. Mironova and V. A. Zubov,J. Russ. Laser Res.,18, 529 (1997).
V. A. Zubov and T. V. Mironova,Kvantovaya Élektron.,25, 476 (1998).
Author information
Authors and Affiliations
Additional information
Translated from a manuscript submitted January 26, 1999.
Rights and permissions
About this article
Cite this article
Merkin, A.A., Zubov, V.A. Modulation-spectrum method for measuring the amplitude and phase characteristics of optical time-dependent signals. J Russ Laser Res 20, 317–341 (1999). https://doi.org/10.1007/BF02508653
Issue Date:
DOI: https://doi.org/10.1007/BF02508653