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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 9 — Mar. 20, 1999
  • pp: 1677–1681

Diffraction and Focusing of Extremely Short Optical Pulses: Generalization of the Sommerfeld Integral

Victor Aleshkevich, Yaroslav Kartashov, and Victor Vysloukh  »View Author Affiliations


Applied Optics, Vol. 38, Issue 9, pp. 1677-1681 (1999)
http://dx.doi.org/10.1364/AO.38.001677


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Abstract

The Sommerfeld diffraction theory is extended to the case of extremely short pulses. We show that in the far field the energy-density distribution of the diffractional pattern is transformed into a Gaussian distribution, when the plane wave with uniform radial amplitude distribution and one oscillation period falls upon the circular aperture. When one focuses the Gaussian beam with one oscillation period, the energy-density distribution in the focal plane differs from the Gaussian distribution.

© 1999 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1960) Diffraction and gratings : Diffraction theory
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2590) Fourier optics and signal processing : ABCD transforms
(320.0320) Ultrafast optics : Ultrafast optics
(320.2250) Ultrafast optics : Femtosecond phenomena

Citation
Victor Aleshkevich, Yaroslav Kartashov, and Victor Vysloukh, "Diffraction and Focusing of Extremely Short Optical Pulses: Generalization of the Sommerfeld Integral," Appl. Opt. 38, 1677-1681 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-9-1677


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References

  1. L. Xu, Ch. Spielman, F. Krausz, and R. Szipocs, “Ultrabroadband ring oscillator for sub-10-fs pulse generation,” Opt. Lett. 21, 1259–1261 (1996).
  2. E. M. Belenov and A. V. Nazarkin, “Nonstationary diffraction effects in the process of propagation of electromagnetic field clots in vacuum,” JETP Lett. 53, 188–191 (1991).
  3. Z. Wang, Z. Zhang, Z. Xu, and Q. Lin, “Space–time profiles of an ultrashort pulsed Gaussian beam,” IEEE J. Quantum Electron. 33, 566–573 (1997).
  4. E. M. Belenov, A. V. Nazarkin, and V. A. Ushchapovskii, “The propagation and interaction dynamics of electromagnetic field clots in two-level media,” Zh. Eksp. Teor. Fiz. 100, 762–775 (1991) [Sov. Phys. JETP 73, 422–435 (1991)].

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