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Journal of Optical Technology

Journal of Optical Technology


  • Vol. 79, Iss. 2 — Feb. 1, 2012
  • pp: 70–74

Field structure of a spherical wave in the neighborhood of the focus

M. V. Lukashova and Yu. A. Tolmachev  »View Author Affiliations

Journal of Optical Technology, Vol. 79, Issue 2, pp. 70-74 (2012)

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This paper presents the elements of the theory and the results of an analysis of the spatial distribution of the field characteristics in the neighborhood of the focus for an input pulse in the form of a harmonic vibration with a Gaussian envelope. The signal parameters are varied from an ultrashort to a quasi-monochromatic pulse. The evolution in time of the input pulse and the edge wave is demonstrated. It is shown that the field structure in the focal plane approaches that for a monochromatic wave when the effective number of vibrations is greater than 3–5.

© 2012 OSA

Original Manuscript: April 7, 2011
Published: February 29, 2012

M. V. Lukashova and Yu. A. Tolmachev, "Field structure of a spherical wave in the neighborhood of the focus," J. Opt. Technol. 79, 70-74 (2012)

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  1. O. G. Kozina and G. I. Makarov, “Transient processes in acoustic fields created by a piston membrane of arbitrary shape and with arbitrary character of its surface vibrations,” Akust. Zh. 7, No. 1, 53 (1961). [Soviet Phys.–Acoust. 7, 39 (1961)].
  2. M. K. Lebedev and Yu. A. Tolmachev, “Diffraction of an ultrashort pulse by an aperture,” Opt. Spektrosk. 90, 457 (2001). [Opt. Spectrosc. 90, 398 (2001)]. [CrossRef]
  3. M. K. Lebedev, Yu. A. Tolmachev, M. V. Frolenkova, and A. V. Kytmanov, “Specific features of the spatiotemporal structure of a broadband signal in the vicinity of the focal point of a converging spherical wave,” Opt. Spektrosk. 100, 129 (2006). [Opt. Spectrosc. 100, 119 (2006)]. [CrossRef]
  4. M. V. Frolenkova and Yu. A. Tolmachev, “Diffraction of a planar ultrashort pulse at a circular aperture. Oblique incidence,” Vestnik SPbGU Ser. 4 No. 1, 142 (2006).
  5. M. K. Lebedev and Yu. A. Tolmachev, “Pulse method for solving problems of diffraction and interference. I. Diffraction of an ultrashort pulse,” in Laser Research at the St. Petersburg State University, Third ed.eds., V. B. Smirnov and A. A. Petrov(NII Ross. Tsentr Laz. Fiz, St. Petersburg, 2004), pp. 81–153.
  6. M. V. Frolenkova, “Study of a pulse method of solving problems of the diffraction of scalar waves and its application for analyzing the operation of actual optical systems,” in Author’s Abstract of Dissertation for Candidate (St. Petersburg State University, St. Petersburg, 2008).
  7. I. É Suleĭmenov, M. K. Lebedev, and Yu. A. Tolmachev, “Diffraction of an ultrashort pulse by a slit,” Opt. Spektrosk. 88, 104 (2000). [Opt. Spectrosc. 88, 96 (2000)].
  8. P. Saari, P. Bowlan, H. Valtna-Lukner, M. Lõhmus, P. Piksarv, and R. Trebino, “Basic diffraction phenomena in time domain,” Opt. Express 18, 11083 (2010). [CrossRef] [PubMed]
  9. J. W. Strutt, The Theory of Sound, Vol. 1 (Macmillan, London, 1877, 1894; Gos. Izd. Tekh. Teor. Lit., Moscow, 1955).

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