Abstract

We propose a simultaneous amplitude and phase modulation method by a discrete phase-only filter. The proposed amplitude-phase filter can be realized by a discrete phase modulation of the diffractive optical element as well as a continuous phase modulation of the liquid crystal spatial light modulator. The fabricated amplitude-phase filter that has the six phase modulation levels shows a transfer efficiency of 75% regardless of the polarization state of the incident light. By using the proposed amplitude-phase filter, we demonstrate a temporal waveform conversion from sech2 to super-Gaussian, which requires both amplitude and phase modulations.

© 2009 Optical Society of America

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  1. A. W. Lohman and D. P. Paris, Appl. Opt. 7, 651 (1968).
    [Crossref]
  2. B. R. Brown and A. W. Lohman, Appl. Opt. 5, 967 (1966).
    [Crossref] [PubMed]
  3. M. Taniguchi, K. Matsuoka, and Y. Ichioka, Jpn. J. Appl. Phys. 31, 2133 (1992).
    [Crossref]
  4. W. B. Veldkamp, Appl. Opt. 21, 3209 (1982).
    [Crossref] [PubMed]
  5. A. M. Weiner, Prog. Quantum Electron. 19, 161 (1995).
    [Crossref]
  6. T. Konishi, T. Kotanigawa, K. Tanimura, H. Furukawa, Y. Oshita, and Y. Ichioka, Opt. Lett. 26, 1445 (2001).
    [Crossref]
  7. Z. Jiang, D. S. Seo, D. E. Leaird, R. V. Roussev, C. Langrock, M. M. Fejer, and A. M. Weiner, J. Lightwave Technol. 23, 1979 (2005).
    [Crossref]
  8. D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
    [Crossref] [PubMed]
  9. W. R. Zipfel, R. M. Williams, and W. W. Webb, Nat. Biotechnol. 21, 1369 (2003).
    [Crossref] [PubMed]
  10. S. Woutersen and P. Hamm, J. Phys. Condens. Matter 14, R1035 (2002).
    [Crossref]
  11. J. P. Kirk and A. L. Jones, J. Opt. Soc. Am. 61, 1023 (1971).
    [Crossref]
  12. J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).
  13. V. Kettunen, P. Vahimaa, J. Turunen, and E. Noponen, J. Opt. Soc. Am. A 14, 808 (1997).
    [Crossref]
  14. J. C. Vaughan, T. Hornung, T. Feurer, and K. A. Nelson, Opt. Lett. 30, 323 (2005).
    [Crossref] [PubMed]
  15. Y. Unno, Appl. Opt. 37, 8012 (1998).
    [Crossref]
  16. H. Kikuta, Y. Ohira, H. Kubo, and K. Iwata, J. Opt. Soc. Am. A 15, 1577 (1998).
    [Crossref]
  17. W. Yu, K. Takahara, T. Konishi, T. Yotsuya, and Y. Ichioka, Appl. Opt. 39, 3531 (2000).
    [Crossref]
  18. W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
    [Crossref]
  19. T. Konishi and Y. Ichioka, Opt. Rev. 6, 507 (1999).
    [Crossref]

2005 (2)

2003 (2)

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

W. R. Zipfel, R. M. Williams, and W. W. Webb, Nat. Biotechnol. 21, 1369 (2003).
[Crossref] [PubMed]

2002 (1)

S. Woutersen and P. Hamm, J. Phys. Condens. Matter 14, R1035 (2002).
[Crossref]

2001 (1)

2000 (1)

1999 (2)

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

T. Konishi and Y. Ichioka, Opt. Rev. 6, 507 (1999).
[Crossref]

1998 (2)

1997 (1)

1996 (1)

J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).

1995 (1)

A. M. Weiner, Prog. Quantum Electron. 19, 161 (1995).
[Crossref]

1992 (1)

M. Taniguchi, K. Matsuoka, and Y. Ichioka, Jpn. J. Appl. Phys. 31, 2133 (1992).
[Crossref]

1982 (1)

1971 (1)

1968 (1)

1966 (1)

Blow, K. J.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Brown, B. R.

Cotter, D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Ellis, A. D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Fejer, M. M.

Feurer, T.

Furukawa, H.

Hamm, P.

S. Woutersen and P. Hamm, J. Phys. Condens. Matter 14, R1035 (2002).
[Crossref]

Honkanen, M.

J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).

Hornung, T.

Ichioka, Y.

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

T. Konishi, T. Kotanigawa, K. Tanimura, H. Furukawa, Y. Oshita, and Y. Ichioka, Opt. Lett. 26, 1445 (2001).
[Crossref]

W. Yu, K. Takahara, T. Konishi, T. Yotsuya, and Y. Ichioka, Appl. Opt. 39, 3531 (2000).
[Crossref]

T. Konishi and Y. Ichioka, Opt. Rev. 6, 507 (1999).
[Crossref]

M. Taniguchi, K. Matsuoka, and Y. Ichioka, Jpn. J. Appl. Phys. 31, 2133 (1992).
[Crossref]

Iwata, K.

Jiang, Z.

Jones, A. L.

Kelly, A. E.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Kettunen, V.

Kikuta, H.

Kirk, J. P.

Konishi, T.

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

T. Konishi, T. Kotanigawa, K. Tanimura, H. Furukawa, Y. Oshita, and Y. Ichioka, Opt. Lett. 26, 1445 (2001).
[Crossref]

W. Yu, K. Takahara, T. Konishi, T. Yotsuya, and Y. Ichioka, Appl. Opt. 39, 3531 (2000).
[Crossref]

T. Konishi and Y. Ichioka, Opt. Rev. 6, 507 (1999).
[Crossref]

Kotanigawa, T.

Kubo, H.

Langrock, C.

Leaird, D. E.

Lohman, A. W.

Manning, R. J.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Matsuoka, K.

M. Taniguchi, K. Matsuoka, and Y. Ichioka, Jpn. J. Appl. Phys. 31, 2133 (1992).
[Crossref]

Nelson, K. A.

Nesset, D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Noponen, E.

V. Kettunen, P. Vahimaa, J. Turunen, and E. Noponen, J. Opt. Soc. Am. A 14, 808 (1997).
[Crossref]

J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).

Ohira, Y.

Oshita, Y.

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

T. Konishi, T. Kotanigawa, K. Tanimura, H. Furukawa, Y. Oshita, and Y. Ichioka, Opt. Lett. 26, 1445 (2001).
[Crossref]

Paris, D. P.

Phillips, I. D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Poustie, A. J.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Rogers, D. C.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

Roussev, R. V.

Salminen, O.

J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).

Seo, D. S.

Takahara, K.

Taniguchi, M.

M. Taniguchi, K. Matsuoka, and Y. Ichioka, Jpn. J. Appl. Phys. 31, 2133 (1992).
[Crossref]

Tanimura, K.

Toyota, H.

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

Turunen, J.

V. Kettunen, P. Vahimaa, J. Turunen, and E. Noponen, J. Opt. Soc. Am. A 14, 808 (1997).
[Crossref]

J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).

Unno, Y.

Vahimaa, P.

V. Kettunen, P. Vahimaa, J. Turunen, and E. Noponen, J. Opt. Soc. Am. A 14, 808 (1997).
[Crossref]

J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).

Vaughan, J. C.

Veldkamp, W. B.

Webb, W. W.

W. R. Zipfel, R. M. Williams, and W. W. Webb, Nat. Biotechnol. 21, 1369 (2003).
[Crossref] [PubMed]

Weiner, A. M.

Williams, R. M.

W. R. Zipfel, R. M. Williams, and W. W. Webb, Nat. Biotechnol. 21, 1369 (2003).
[Crossref] [PubMed]

Woutersen, S.

S. Woutersen and P. Hamm, J. Phys. Condens. Matter 14, R1035 (2002).
[Crossref]

Yotsuya, T.

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

W. Yu, K. Takahara, T. Konishi, T. Yotsuya, and Y. Ichioka, Appl. Opt. 39, 3531 (2000).
[Crossref]

Yu, W.

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

W. Yu, K. Takahara, T. Konishi, T. Yotsuya, and Y. Ichioka, Appl. Opt. 39, 3531 (2000).
[Crossref]

Zipfel, W. R.

W. R. Zipfel, R. M. Williams, and W. W. Webb, Nat. Biotechnol. 21, 1369 (2003).
[Crossref] [PubMed]

Appl. Opt. (5)

J. Lightwave Technol. (1)

J. Mod. Opt. (1)

J. Turunen, P. Vahimaa, M. Honkanen, O. Salminen, and E. Noponen, J. Mod. Opt. 43, 1389 (1996).

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (2)

J. Phys. Condens. Matter (1)

S. Woutersen and P. Hamm, J. Phys. Condens. Matter 14, R1035 (2002).
[Crossref]

Jpn. J. Appl. Phys. (1)

M. Taniguchi, K. Matsuoka, and Y. Ichioka, Jpn. J. Appl. Phys. 31, 2133 (1992).
[Crossref]

Jpn. J. Appl. Phys. Part 1 (1)

W. Yu, Y. Oshita, H. Toyota, T. Konishi, T. Yotsuya, and Y. Ichioka, Jpn. J. Appl. Phys. Part 1 42, 3434 (2003).
[Crossref]

Nat. Biotechnol. (1)

W. R. Zipfel, R. M. Williams, and W. W. Webb, Nat. Biotechnol. 21, 1369 (2003).
[Crossref] [PubMed]

Opt. Lett. (2)

Opt. Rev. (1)

T. Konishi and Y. Ichioka, Opt. Rev. 6, 507 (1999).
[Crossref]

Prog. Quantum Electron. (1)

A. M. Weiner, Prog. Quantum Electron. 19, 161 (1995).
[Crossref]

Science (1)

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, Science 286, 1523 (1999).
[Crossref] [PubMed]

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Figures (7)

Fig. 1
Fig. 1

Schematic of the amplitude and phase modulation using a discrete phase-only filter. The amount of the amplitude modulation corresponds to the number of the compartments in the elemental pixel that can contribute to the carrier phase modulation.

Fig. 2
Fig. 2

(a) Fabricated amplitude-phase filters. The characters A to J correspond to the amplitude modulations from 10% to 100%. (b) Observed zeroth-order (residue) and first-order (modulated lights) diffracted lights from each filter.

Fig. 3
Fig. 3

Square root of the measured powers of the first diffracted lights versus the amount of the amplitude modulation of the filter.

Fig. 4
Fig. 4

Filter function of the amplitude-phase filter to convert the sech 2 pulse into a super-Gaussian one.

Fig. 5
Fig. 5

Experimental setup of the 4 - f pulse shaper with the amplitude and phase modulation in the spectral domain. We employed a 900   lines mm deep grating [18] to achieve high angular resolution.

Fig. 6
Fig. 6

Spectra of the input, the expected output, and the measured super-Gaussian pulses.

Fig. 7
Fig. 7

Experimental results of (a) the autocorrelation of the input pulse and (b) the cross correlation between the input and output pulses measured with OSS.

Equations (1)

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t ( x , y ) = s ( x , y ) S exp { i [ ϕ d ( x , y ) + ϕ c ( x ) ] } ,

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