This is a reply to the comment [J. Opt. Soc. Am. A 26, 2181 (2009) ] on our paper that appeared in J. Opt. Soc. Am. A 21, 1192 (2004) . In the paper the Helmholtz equation was used to introduce the expression of Eq. (2), which generates the fractional Bessel beam (FBB) when n is a fractional number. The paper, however, did not convey whether the FBB is a solution of the Helmholtz equation.

© 2009 Optical Society of America

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  1. P. L. Marston, “Self-reconstruction property of fractional Bessel beams: comment,” J. Opt. Soc. Am. A 26, 2181 (2009).
  2. S. H. Tao and X. C. Yuan, “Self-reconstruction property of fractional Bessel beams,” J. Opt. Soc. Am. A 21, 1192-1197 (2004).
  3. S. H. Tao, W. M. Lee, and X. C. Yuan, “Experimental study of holographic generation of fractional Bessel beams,” Appl. Opt. 43, 122-126 (2004).
    [CrossRef] [PubMed]
  4. S. H. Tao, W. M. Lee, and X. C. Yuan, “Dynamic optical manipulation with a higher-order fractional Bessel beams generated from a spatial light modulator,” Opt. Lett. 28, 1867-1869 (2003).
    [CrossRef] [PubMed]

2009 (1)

2004 (2)

2003 (1)

Lee, W. M.

Marston, P. L.

Tao, S. H.

Yuan, X. C.

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Equations (1)

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E n ( r , ϕ , z ) = A exp ( i k z z ) J n ( k r r ) exp ( i n ϕ ) .