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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 9 — Sep. 1, 2005
  • pp: 1903–1908

Transverse intensity distributions of a broadband laser modulated by a hard-edged aperture

Runwu Peng, Yunxia Ye, Zhixiang Tang, and Dianyuan Fan  »View Author Affiliations

JOSA A, Vol. 22, Issue 9, pp. 1903-1908 (2005)

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By means of the Huygens–Fresnel diffraction integral, the field representation of a laser beam modulated by a hard-edged aperture is derived. The near-field and far-field transverse intensity distributions of the beams with different bandwidths are analyzed by using the representation. The numerical calculation results indicate that the amplitudes and numbers of the intensity spikes decrease with increasing bandwidth, and beam smoothing is achieved when the bandwidth takes a certain value in the near field. In the far field, the radius of the transverse intensity distribution decreases as the bandwidth increases, and the physical explanation of this fact is also given. © 2005 Optical Society of America

© 2005 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

Original Manuscript: January 13, 2005
Revised Manuscript: March 7, 2005
Manuscript Accepted: March 7, 2005
Published: September 1, 2005

Runwu Peng, Yunxia Ye, Zhixiang Tang, and Dianyuan Fan, "Transverse intensity distributions of a broadband laser modulated by a hard-edged aperture," J. Opt. Soc. Am. A 22, 1903-1908 (2005)

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  1. P. L. Kelly, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965). [CrossRef]
  2. K. A. Bruecker, S. Jorna, “Laser-driven fusion,” Rev. Mod. Phys. 46, 325–367 (1974). [CrossRef]
  3. S. Skupsky, K. Lee, “Uniformity of energy deposition for laser driven fusion,” J. Appl. Phys. 54, 3662–3671 (1983). [CrossRef]
  4. V. R. Cositich, B. C. Johnson, “Apertures to shape highpower beams,” Laser Focus (Newton, Mass.) 10, 43–46 (1974).
  5. J. T. Hunt, P. A. Renard, W. W. Simmons, “Improved performance of fusion lasers using the imaging properties of multiple spatial filters,” Appl. Opt. 16, 779–782 (1977). [PubMed]
  6. Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, C. Yamanaka, “Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression,” Phys. Rev. Lett. 53, 1057–1060 (1984). [CrossRef]
  7. X. M. Deng, X. C. Liang, Z. Z. Chen, W. Y. Yu, R. Y. Ma, “Uniform illumination of large targets using a lens array,” Appl. Opt. 25, 377–381 (1986). [CrossRef] [PubMed]
  8. S. Skupsky, R. W. Short, T. Kessler, R. S. Craxton, S. Letzring, J. M. Soures, “Improved laser-beam uniformity using the angular dispersion of frequency-modulated light,” J. Appl. Phys. 66, 3456–3462 (1989). [CrossRef]
  9. “Two-dimensional SSD on OMEGA,” in Laboratory for Laser Energetics Review (University of Rochester, 1996), Vol. 69, pp. 1–10.
  10. H. Nakano, K. Tsubakimoto, N. Miyanaga, M. Nakatsuka, T. Kanabe, H. Azechi, T. Jitsuno, S. Nakai, “Spectrally dispersed amplified spontaneous emission for improving irradiation uniformity into high power Nd:glass laser system,” J. Appl. Phys. 73, 2122–2130 (1993). [CrossRef]
  11. J. E. Rothenberg, “Comparison of beam-smoothing methods for direct-drive inertial confinement fusion,” J. Opt. Soc. Am. B 14, 1664–1671 (1997). [CrossRef]
  12. H. A. Rose, S. Ghosal, “Effect of smoothing by spectral dispersion on flow induced laser beam deflection: the random phase modulation scheme,” Phys. Plasmas 5, 775–781 (1998). [CrossRef]
  13. G. Miyaji, N. Miyanaga, S. Urushihara, K. Suzuki, S. Matsuoka, M. Nakatsuka, A. Morimoto, T. Kobayashi, “Three-directional spectral dispersion for smoothing of a laser irradiance profile,” Opt. Lett. 27, 725–727 (2002). [CrossRef]
  14. Q. F. Tan, Y. B. Yan, G. F. Jin, “Statistic analysis of influence of phase distortion on diffractive optical element for beam smoothing,” Opt. Express 12, 3270–3278 (2004). [CrossRef] [PubMed]
  15. B. Schenkel, J. Biegert, U. Keller, “Generation of 3.8-fs pulses from adaptive compression of a cashed hollow fiber supercontinuum,” Opt. Lett. 28, 1987–1989 (2003). [CrossRef] [PubMed]
  16. I. P. Christov, “Propagation of femtosecond light pulses,” Opt. Commun. 53, 364–366 (1985). [CrossRef]
  17. M. A. Porras, “Nonsinusoidal few-cycle pulsed light beams in free space,” J. Opt. Soc. Am. B 16, 1468–1474 (1999). [CrossRef]
  18. S. Feng, H. G. Winful, “Spatiotemporal structure of isodiffracting ultrashort electromagnetic pulses,” Phys. Rev. E 61, 862–873 (2000). [CrossRef]
  19. M. A. Porras, “Diffraction effects in few-cycle optical pulses,” Phys. Rev. E 65, 026606-1–11 (2002). [CrossRef]
  20. J. J. Thomson, “Finite-bandwidth effects on the parametric instability in an inhomogeneous plasma,” Nucl. Fusion 15, 237–247 (1975). [CrossRef]
  21. K. Estabrook, W. L. Kruer, “Theory and simulation of one-dimensional Raman backward and forward scattering,” Phys. Fluids 26, 1892–1903 (1983). [CrossRef]
  22. A. E. Siegman, Lasers (University Science Books, 1986), Sect. 9.1.
  23. M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999), Sec. 8.2. [CrossRef]
  24. R. W. Peng, D. Y. Fan, “Comparison between complex amplitude envelope representation and complex analytic signal representation in studying pulsed Gaussian beam,” Opt. Commun. 246, 241–248 (2005). [CrossRef]

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