Abstract

We propose a simple optical system to compensate for chromatic distortion that occurs during fan-out of femtosecond pulses by diffractive optics. The proposed system comprises a pair of diffractive elements, one for splitting an incoming pulse and the other for focusing the split pulses. With an appropriate separation between the elements, chromatic distortion resulting from the spectral bandwidth of a femtosecond pulse is removed, and an array of focused pulses with the same dimensions can be obtained. The theory has been verified through optical and processing experiments with 100-fs, 800-nm pulses.

© 2002 Optical Society of America

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  1. B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
    [CrossRef]
  2. X. Liu, D. Du, and G. Mourou, IEEE J. Quantum Electron. 33, 1706 (1997).
    [CrossRef]
  3. J. W. Goodman, Introduction of Fourier Optics (McGraw-Hill, New York, 1988), Chap. 5.
  4. B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
    [CrossRef] [PubMed]
  5. P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
    [CrossRef]
  6. H. Ichikawa, J. Opt. Soc. Am. A 15, 152 (1998).
    [CrossRef]
  7. J. Amako, M. Murai, and T. Sonehara, Opt. Rev. 5, 83 (1998).
    [CrossRef]
  8. J. Amako, K. Nagasaka, and E. Fujii, Proc. SPIE 4416, 360 (2001).
    [CrossRef]
  9. J. Amako, K. Umetsu, and H. Nakao, Appl. Opt. 40, 5643 (2001).
    [CrossRef]
  10. C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
    [CrossRef]

2001 (2)

J. Amako, K. Nagasaka, and E. Fujii, Proc. SPIE 4416, 360 (2001).
[CrossRef]

J. Amako, K. Umetsu, and H. Nakao, Appl. Opt. 40, 5643 (2001).
[CrossRef]

1998 (3)

C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
[CrossRef]

H. Ichikawa, J. Opt. Soc. Am. A 15, 152 (1998).
[CrossRef]

J. Amako, M. Murai, and T. Sonehara, Opt. Rev. 5, 83 (1998).
[CrossRef]

1997 (1)

X. Liu, D. Du, and G. Mourou, IEEE J. Quantum Electron. 33, 1706 (1997).
[CrossRef]

1996 (1)

B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
[CrossRef]

1995 (2)

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Alvenslebe, F.

B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
[CrossRef]

Alvensleben, F.

C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
[CrossRef]

Amako, J.

J. Amako, K. Nagasaka, and E. Fujii, Proc. SPIE 4416, 360 (2001).
[CrossRef]

J. Amako, K. Umetsu, and H. Nakao, Appl. Opt. 40, 5643 (2001).
[CrossRef]

J. Amako, M. Murai, and T. Sonehara, Opt. Rev. 5, 83 (1998).
[CrossRef]

Chichkov, B. N.

B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
[CrossRef]

Du, D.

X. Liu, D. Du, and G. Mourou, IEEE J. Quantum Electron. 33, 1706 (1997).
[CrossRef]

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Dutta, S.

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Feit, M. D.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Fujii, E.

J. Amako, K. Nagasaka, and E. Fujii, Proc. SPIE 4416, 360 (2001).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction of Fourier Optics (McGraw-Hill, New York, 1988), Chap. 5.

Ichikawa, H.

Kamlage, G.

C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
[CrossRef]

Liu, X.

X. Liu, D. Du, and G. Mourou, IEEE J. Quantum Electron. 33, 1706 (1997).
[CrossRef]

Momma, C.

C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
[CrossRef]

B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
[CrossRef]

Mourou, G.

X. Liu, D. Du, and G. Mourou, IEEE J. Quantum Electron. 33, 1706 (1997).
[CrossRef]

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Murai, M.

J. Amako, M. Murai, and T. Sonehara, Opt. Rev. 5, 83 (1998).
[CrossRef]

Nagasaka, K.

J. Amako, K. Nagasaka, and E. Fujii, Proc. SPIE 4416, 360 (2001).
[CrossRef]

Nakao, H.

Nolte, S.

C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
[CrossRef]

B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
[CrossRef]

Perry, M. D.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Pronk, P.

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Rubenchik, A. M.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Rudd, J.

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Shore, B. W.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Sonehara, T.

J. Amako, M. Murai, and T. Sonehara, Opt. Rev. 5, 83 (1998).
[CrossRef]

Squjen, J.

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Stuart, B. C.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Tunnermann, A.

B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
[CrossRef]

Tunnevmann, A.

C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
[CrossRef]

Umetsu, K.

Appl. Opt. (1)

Appl. Phys. A (2)

C. Momma, S. Nolte, G. Kamlage, F. Alvensleben, and A. Tunnevmann, Appl. Phys. A 67, 517 (1998).
[CrossRef]

B. N. Chichkov, C. Momma, S. Nolte, F. Alvenslebe, and A. Tunnermann, Appl. Phys. A 63, 109 (1996).
[CrossRef]

IEEE J. Quantum Electron. (1)

X. Liu, D. Du, and G. Mourou, IEEE J. Quantum Electron. 33, 1706 (1997).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Commun. (1)

P. Pronk, S. Dutta, J. Squjen, J. Rudd, D. Du, and G. Mourou, Opt. Commun. 114, 106 (1995).
[CrossRef]

Opt. Rev. (1)

J. Amako, M. Murai, and T. Sonehara, Opt. Rev. 5, 83 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Proc. SPIE (1)

J. Amako, K. Nagasaka, and E. Fujii, Proc. SPIE 4416, 360 (2001).
[CrossRef]

Other (1)

J. W. Goodman, Introduction of Fourier Optics (McGraw-Hill, New York, 1988), Chap. 5.

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Figures (4)

Fig. 1
Fig. 1

Schematic of the proposed optics for chromatic-distortion compensation in fan-out and focusing of femtosecond pulses.

Fig. 2
Fig. 2

Magnitude of lateral chromatic aberration versus the distance between the diffractive elements.

Fig. 3
Fig. 3

Array of fanned-out and focused pulse beams (a) without and (b) with chromatic-distortion compensation.

Fig. 4
Fig. 4

Processed holes on a steel plate (a) without and (b) with chromatic-distortion compensation.

Equations (4)

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y=s1-L/f-Lu,
Δy=sLu/f2Δf+s-sL/f-LΔu=s1-2L/f-LΔu.
Δy=-s+fΔu.
f<λ/Δλctmax/2.

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