Abstract

We propose and experimentally demonstrate a colorful nonlinear Raman–Nath second-harmonic generation by engineering the quadratic nonlinearity χ(2) in an aperiodically poled lithium tantalite. The engineered nonlinear structure allows multicolored Raman–Nath second-harmonic signal outputs along a uniform direction, which cannot be achieved in a uniform nonlinear grating. The diffraction angles are independent of the beam waist and the position of incidence. This verifies that nonlinear Raman–Nath diffraction does not depend on the local superlattice structure where the fundamental frequency beam locates, but on the whole nonlinear χ(2) crystal.

© 2013 Optical Society of America

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  1. S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
    [CrossRef]
  2. R. T. Bratfalean, A. C. Peacock, N. G. R. Broderick, K. Gallo, and R. Lewen, Opt. Lett. 30, 424 (2005).
    [CrossRef]
  3. M. Gong, Y. Chen, F. Lu, and X. Chen, Opt. Lett. 35, 2672 (2010).
    [CrossRef]
  4. J. Zhang, Y. Chen, F. Lu, and X. Chen, Opt. Express 16, 6957 (2008).
    [CrossRef]
  5. L. H. Peng, C. C. Hsu, and Y. C. Shih, Appl. Phys. Lett. 83, 3447 (2003).
    [CrossRef]
  6. Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
    [CrossRef]
  7. K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
    [CrossRef]
  8. A. Shapira and A. Arie, Opt. Lett. 36, 1933 (2011).
    [CrossRef]
  9. A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
    [CrossRef]
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    [CrossRef]
  11. S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 848 (2009).
    [CrossRef]
  12. Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  15. N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
    [CrossRef]
  16. S. Zhu, Y. Zhu, and N. Ming, Science 278, 843 (1997).
    [CrossRef]
  17. R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
    [CrossRef]
  18. M. Lu and X. Chen, J. Nonlinear Opt. Phys. Mater. 16, 185 (2007).
    [CrossRef]

2012 (2)

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
[CrossRef]

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

2011 (3)

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

A. Shapira and A. Arie, Opt. Lett. 36, 1933 (2011).
[CrossRef]

2010 (2)

M. Gong, Y. Chen, F. Lu, and X. Chen, Opt. Lett. 35, 2672 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

2009 (1)

2008 (1)

2007 (4)

M. Lu and X. Chen, J. Nonlinear Opt. Phys. Mater. 16, 185 (2007).
[CrossRef]

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

2005 (2)

2003 (1)

L. H. Peng, C. C. Hsu, and Y. C. Shih, Appl. Phys. Lett. 83, 3447 (2003).
[CrossRef]

1997 (2)

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

S. Zhu, Y. Zhu, and N. Ming, Science 278, 843 (1997).
[CrossRef]

Aleksandrovsky, A. S.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

Arie, A.

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

A. Shapira and A. Arie, Opt. Lett. 36, 1933 (2011).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 848 (2009).
[CrossRef]

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef]

Bahabad, A.

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef]

Bang, O.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 848 (2009).
[CrossRef]

Bratfalean, R. T.

Broderick, N. G. R.

Chen, X.

Chen, Y.

Cheng, B.

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Dou, J.

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Gallo, K.

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

R. T. Bratfalean, A. C. Peacock, N. G. R. Broderick, K. Gallo, and R. Lewen, Opt. Lett. 30, 424 (2005).
[CrossRef]

Ge, C.

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Gong, M.

Habshoosh, N.

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

Hsu, C. C.

L. H. Peng, C. C. Hsu, and Y. C. Shih, Appl. Phys. Lett. 83, 3447 (2003).
[CrossRef]

Ikonnikov, A. A.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

Juwiler, I.

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

Kalinowski, K.

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
[CrossRef]

Kivshar, Y. S.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 848 (2009).
[CrossRef]

Kong, Q.

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
[CrossRef]

Krolikowski, W.

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 848 (2009).
[CrossRef]

Laurell, F.

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Levenius, M.

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Lewen, R.

Lifshitz, R.

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef]

Lu, F.

Lu, M.

M. Lu and X. Chen, J. Nonlinear Opt. Phys. Mater. 16, 185 (2007).
[CrossRef]

Ma, B.

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Ming, N.

S. Zhu, Y. Zhu, and N. Ming, Science 278, 843 (1997).
[CrossRef]

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Neshev, D. N.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 848 (2009).
[CrossRef]

Pasiskevicius, V.

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Peacock, A. C.

Peng, L. H.

L. H. Peng, C. C. Hsu, and Y. C. Shih, Appl. Phys. Lett. 83, 3447 (2003).
[CrossRef]

Pospelov, G. I.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

Qin, Y.

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Saltiel, S. M.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 848 (2009).
[CrossRef]

Shapira, A.

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

A. Shapira and A. Arie, Opt. Lett. 36, 1933 (2011).
[CrossRef]

Shemer, K.

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

Sheng, Y.

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Shih, Y. C.

L. H. Peng, C. C. Hsu, and Y. C. Shih, Appl. Phys. Lett. 83, 3447 (2003).
[CrossRef]

Shiloh, R.

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

Voloch Bloch, N.

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

Voloch-Bloch, N.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

Vyunishev, A. M.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

Wang, H.

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Wang, W.

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
[CrossRef]

Zaitsev, A. I.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

Zhang, D.

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Zhang, J.

Zhu, S.

S. Zhu, Y. Zhu, and N. Ming, Science 278, 843 (1997).
[CrossRef]

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Zhu, Y.

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

S. Zhu, Y. Zhu, and N. Ming, Science 278, 843 (1997).
[CrossRef]

Appl. Phys. Lett. (5)

L. H. Peng, C. C. Hsu, and Y. C. Shih, Appl. Phys. Lett. 83, 3447 (2003).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

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

M. Lu and X. Chen, J. Nonlinear Opt. Phys. Mater. 16, 185 (2007).
[CrossRef]

J. Phys. B (1)

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, J. Phys. B 45, 055401 (2012).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Opt. Quantum Electron. (1)

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

Phys. Rev. Lett. (4)

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. Voloch-Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef]

N. Voloch Bloch, K. Shemer, A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, Phys. Rev. Lett. 108, 233902 (2012).
[CrossRef]

S. Zhu, Y. Zhu, Y. Qin, H. Wang, C. Ge, and N. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Science (1)

S. Zhu, Y. Zhu, and N. Ming, Science 278, 843 (1997).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

(a) Schematic arrangement of the nonlinear Raman–Nath SHGs with different FF beams in PPLT. (b) Measured SH signals with various FF beams; when the FF beam alters from 1200 to 1150 nm, the spacing between SH peaks turns narrower.

Fig. 2.
Fig. 2.

(a) Schematic arrangements of the Raman–Nath diffraction in PPLT and engineered APPLT. (b) External angles of the Raman–Nath SH signals in PPLT (black line) and engineered APPLT (red line).

Fig. 3.
Fig. 3.

(a) Calculated angular distribution of the Raman–Nath SH signal in engineered APPLT; black line for the 1200 nm FF beam and red for the 1150 nm FF beam. (b) Experimental image of the Raman–Nath SH signals in engineered APPLT with 1200 nm FF beam and (c) with 1150 nm FF beam.

Fig. 4.
Fig. 4.

(a) Effect of FF BW and (b) its position of incidence on the nonlinear Raman–Nath diffraction patterns. In (a), SHG efficiency and bandwidth both increase as the FF BW decreases from 500 to 50 μm; in (b), SH peaks locate at constant directions as the FF beam is focused at different positions (from 0.1 to 0.9 L), but their intensity distributions differ.

Tables (1)

Tables Icon

Table 1. SHG with Respective Emission Angles

Equations (1)

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A2(κx,z)=iβ2zeiz(Δk+κx2/2k2)/2sinc[z(Δk+κx2/2k2)/2]×g(x)A12(x)eiκxxdx,

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