We investigate theoretically the nonlinear propagation of the limited diffraction Bessel beam in nonlinear media, under the successive approximation of the KZK equation. The result shows that the -order harmonic of the Bessel beam, like its fundamental component, is radially limited diffracting, and that the main beamwidth of the -order harmonic is exactly times that of the fundamental.
Topics
Bessel beam
REFERENCES
1.
J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), p. 356.
2.
3.
J.-y.
Lu
, IEEE Trans. Ultrason. Ferroelectr. Freq.
44
, 839
(1997
), and references therein.4.
J.
Durnin
, J. J.
Miceli
, and J. H.
Eberly
, Phys. Rev. Lett.
58
, 1499
(1987
).5.
J.-y.
Lu
and J. F.
Greenleaf
, IEEE Trans. Ultrason. Ferroelectr. Freq.
37
, 438
(1990
).6.
J.-y.
Lu
and J. F.
Greenleaf
, IEEE Trans. Ultrason. Ferroelectr. Freq.
39
, 19
(1992
).7.
8.
J. Synnevag and S. Holm, IEEE Ultrason. Symp., Sendai, Oct. 1998.
9.
M. A. Averkiou, D. N. Roundhill, and J. E. Powers, IEEE Ultrason. Symp., Toronto, Oct. 1997.
10.
T.
Wulle
and S.
Herminghaus
, Phys. Rev. Lett.
70
, 1401
(1993
).11.
S.
Aanonsen
, T.
Barkve
, J. N.
Tjøtta
, and S.
Tjøtta
, J. Acoust. Soc. Am.
75
, 749
(1984
).12.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Dover, New York, 1964).
13.
14.
This content is only available via PDF.
© 2000 Acoustical Society of America.
2000
Acoustical Society of America
You do not currently have access to this content.
