Abstract

A theory is developed for predicting a second-order hot-image formation in high-power laser systems. Light diffracted from a small optical scatterer interferes with an intense original wave in the nonlinear medium to produce a hologram like a Fresnel-zone plate. The theoretical model shows that the hologram produces a negative first-order diffractive wave focused to the traditional hot image and negative second-order diffraction that causes another intense image, namely, a second-order hot image. It is found by analysis that the location of the second-order hot image arises in a downstream plane with a half-distance from the medium to the scatterer. Results of the numerical calculations show that the peak intensity of the nonlinear image may reach a level high enough to damage optical components with the increase of the breakup integral (B integral), indicating that the image may also potentially damage expensive optical components in high-power laser systems.

© 2005 Optical Society of America

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  1. A. E. Siegman, Lasers (University Science; Mill Valley, Calif., 1986), pp. 698–711.
  2. N. B. Baranova, N. E. Bykovskii, B. Ya. Zeldovich, Y.V. Senatskii, “Diffraction and self-focusing during amplification of high-power light pulses,” Sov. J. Quantum Electron. 4, 1362–1366 (1975).
    [CrossRef]
  3. J. T. Hunt, K. R. Manes, P. A. Renard, “Hot images from obscurations,” Appl. Opt, 32, 5973–5982 (1993).
    [CrossRef] [PubMed]
  4. W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).
  5. C. C. Widmayer, D. Milam, S. P. deSzoeke, “Nonlinear formation of holographic images of obscurations in laser beams,” Appl. Opt. 36, 9342–9347 (1997).
    [CrossRef]
  6. C. C. Widmayer, M. R. Nickels, D. Milam, “Nonlinear holographic imaging of phase errors,” Appl. Opt. 37, 4801–4805 (1998).
    [CrossRef]
  7. C. C. Widmayer, L. R. Jones, D. Milam, “Measurement of the nonlinear coefficient of carbon disulfide using holographic self-focusing,” J. Nonlinear Opt. Phys. Mater. 7, 563–570 (1998).
    [CrossRef]
  8. L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).
  9. L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
    [CrossRef]
  10. M. W. Yu, Optical Holography and Its Applications (Beijing Institute of Technology Press, Beijing, 1996), pp. 139 (in Chinese).
  11. L. L. Zhao, Advanced Optics (National Defence Industry Press, Beijing, 2002), pp. 150–151 (in Chinese).
  12. V. I. Bespalov, V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett 3, 307–310 (1966).

2004 (2)

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

1998 (2)

C. C. Widmayer, L. R. Jones, D. Milam, “Measurement of the nonlinear coefficient of carbon disulfide using holographic self-focusing,” J. Nonlinear Opt. Phys. Mater. 7, 563–570 (1998).
[CrossRef]

C. C. Widmayer, M. R. Nickels, D. Milam, “Nonlinear holographic imaging of phase errors,” Appl. Opt. 37, 4801–4805 (1998).
[CrossRef]

1997 (1)

1993 (1)

J. T. Hunt, K. R. Manes, P. A. Renard, “Hot images from obscurations,” Appl. Opt, 32, 5973–5982 (1993).
[CrossRef] [PubMed]

1975 (1)

N. B. Baranova, N. E. Bykovskii, B. Ya. Zeldovich, Y.V. Senatskii, “Diffraction and self-focusing during amplification of high-power light pulses,” Sov. J. Quantum Electron. 4, 1362–1366 (1975).
[CrossRef]

1966 (1)

V. I. Bespalov, V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett 3, 307–310 (1966).

Baranova, N. B.

N. B. Baranova, N. E. Bykovskii, B. Ya. Zeldovich, Y.V. Senatskii, “Diffraction and self-focusing during amplification of high-power light pulses,” Sov. J. Quantum Electron. 4, 1362–1366 (1975).
[CrossRef]

Bespalov, V. I.

V. I. Bespalov, V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett 3, 307–310 (1966).

Bykovskii, N. E.

N. B. Baranova, N. E. Bykovskii, B. Ya. Zeldovich, Y.V. Senatskii, “Diffraction and self-focusing during amplification of high-power light pulses,” Sov. J. Quantum Electron. 4, 1362–1366 (1975).
[CrossRef]

deSzoeke, S. P.

Eimerl, D.

W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).

Hunt, J. T.

J. T. Hunt, K. R. Manes, P. A. Renard, “Hot images from obscurations,” Appl. Opt, 32, 5973–5982 (1993).
[CrossRef] [PubMed]

W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).

Jing, F.

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

Jones, L. R.

C. C. Widmayer, L. R. Jones, D. Milam, “Measurement of the nonlinear coefficient of carbon disulfide using holographic self-focusing,” J. Nonlinear Opt. Phys. Mater. 7, 563–570 (1998).
[CrossRef]

Manes, K. R.

J. T. Hunt, K. R. Manes, P. A. Renard, “Hot images from obscurations,” Appl. Opt, 32, 5973–5982 (1993).
[CrossRef] [PubMed]

W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).

Milam, D.

C. C. Widmayer, L. R. Jones, D. Milam, “Measurement of the nonlinear coefficient of carbon disulfide using holographic self-focusing,” J. Nonlinear Opt. Phys. Mater. 7, 563–570 (1998).
[CrossRef]

C. C. Widmayer, M. R. Nickels, D. Milam, “Nonlinear holographic imaging of phase errors,” Appl. Opt. 37, 4801–4805 (1998).
[CrossRef]

C. C. Widmayer, D. Milam, S. P. deSzoeke, “Nonlinear formation of holographic images of obscurations in laser beams,” Appl. Opt. 36, 9342–9347 (1997).
[CrossRef]

W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).

Nickels, M. R.

Peng, H. S.

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

Renard, P. A.

J. T. Hunt, K. R. Manes, P. A. Renard, “Hot images from obscurations,” Appl. Opt, 32, 5973–5982 (1993).
[CrossRef] [PubMed]

W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).

Senatskii, Y.V.

N. B. Baranova, N. E. Bykovskii, B. Ya. Zeldovich, Y.V. Senatskii, “Diffraction and self-focusing during amplification of high-power light pulses,” Sov. J. Quantum Electron. 4, 1362–1366 (1975).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science; Mill Valley, Calif., 1986), pp. 698–711.

Su, J. Q.

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

Talanov, V. I.

V. I. Bespalov, V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett 3, 307–310 (1966).

Wang, W. Y.

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

Widmayer, C. C.

Williams, W. H.

W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).

Xie, L. P.

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

Yu, M. W.

M. W. Yu, Optical Holography and Its Applications (Beijing Institute of Technology Press, Beijing, 1996), pp. 139 (in Chinese).

Zeldovich, B. Ya.

N. B. Baranova, N. E. Bykovskii, B. Ya. Zeldovich, Y.V. Senatskii, “Diffraction and self-focusing during amplification of high-power light pulses,” Sov. J. Quantum Electron. 4, 1362–1366 (1975).
[CrossRef]

Zhao, J. L.

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

Zhao, L. L.

L. L. Zhao, Advanced Optics (National Defence Industry Press, Beijing, 2002), pp. 150–151 (in Chinese).

Acta Phys. Sin. (1)

L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, H. S. Peng, “Theoretical analysis of the hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175–2179 (2004) (in Chinese).

Appl. Opt (1)

J. T. Hunt, K. R. Manes, P. A. Renard, “Hot images from obscurations,” Appl. Opt, 32, 5973–5982 (1993).
[CrossRef] [PubMed]

Appl. Opt. (2)

J. Nonlinear Opt. Phys. Mater. (1)

C. C. Widmayer, L. R. Jones, D. Milam, “Measurement of the nonlinear coefficient of carbon disulfide using holographic self-focusing,” J. Nonlinear Opt. Phys. Mater. 7, 563–570 (1998).
[CrossRef]

JETP Lett (1)

V. I. Bespalov, V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett 3, 307–310 (1966).

Opt. Commun. (1)

L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343–348 (2004).
[CrossRef]

Sov. J. Quantum Electron. (1)

N. B. Baranova, N. E. Bykovskii, B. Ya. Zeldovich, Y.V. Senatskii, “Diffraction and self-focusing during amplification of high-power light pulses,” Sov. J. Quantum Electron. 4, 1362–1366 (1975).
[CrossRef]

Other (4)

A. E. Siegman, Lasers (University Science; Mill Valley, Calif., 1986), pp. 698–711.

W. H. Williams, K. R. Manes, J. T. Hunt, P. A. Renard, D. Milam, D. Eimerl, “Modeling of self-focusing experiments by beam propagation codes,” 1CF Quart. Rep.6(1), 7–14, UCRL-LR-105821-96-1 (Lawrence Livermore National Laboratory, Livermore, Calif., 1995).

M. W. Yu, Optical Holography and Its Applications (Beijing Institute of Technology Press, Beijing, 1996), pp. 139 (in Chinese).

L. L. Zhao, Advanced Optics (National Defence Industry Press, Beijing, 2002), pp. 150–151 (in Chinese).

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