Abstract

We study experimentally and numerically the second-harmonic Čerenkov emission with two different characteristic azimuthal intensity distributions in strontium barium niobate with a random structure of χ2 nonlinearity. We monitor in situ the Čerenkov emission during domain switching and show that a change of domain size and shape results in a fourfold azimuthal modulation of the Čerenkov cone.

© 2011 Optical Society of America

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    [CrossRef] [PubMed]
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  8. A. Arie and N. Voloch, Laser Photon. Rev. 4, 355 (2010).
    [CrossRef]
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    [CrossRef]

2011 (1)

2010 (5)

2009 (2)

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, J. Phys. D 42, 215103 (2009).
[CrossRef]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

2008 (2)

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, JETP Lett. 87, 98 (2008).
[CrossRef]

P. Molina, M. de la O Ramírez, and L. E. Bausá, Adv. Funct. Mater. 18, 709 (2008).
[CrossRef]

2007 (1)

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, J. Appl. Phys. 102, 114112 (2007).
[CrossRef]

2006 (1)

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

2005 (1)

L. Tian, D. A. Scrymgeour, and V. Gopalan, J. Appl. Phys. 97, 114111 (2005).
[CrossRef]

2003 (1)

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

2002 (2)

2001 (1)

P. Lehnen, W. Kleemann, T. Woike, and R. Pankrath, Phys. Rev. B 64, 224109 (2001).
[CrossRef]

Arie, A.

A. Arie and N. Voloch, Laser Photon. Rev. 4, 355 (2010).
[CrossRef]

Y. Sheng, S. M. Saltiel, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, Opt. Lett. 35, 1317 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Ayoub, M.

Bausá, L. E.

P. Molina, M. de la O Ramírez, and L. E. Bausá, Adv. Funct. Mater. 18, 709 (2008).
[CrossRef]

Betzler, K.

U. Voelker, K. Dinges, U. Heine, and K. Betzler, Phys. Rev. B 81, 214104 (2010).
[CrossRef]

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, J. Appl. Phys. 102, 114112 (2007).
[CrossRef]

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Bravo-Abad, J.

Chen, X.

Cheng, J.-X.

de la O Ramírez, M.

P. Molina, M. de la O Ramírez, and L. E. Bausá, Adv. Funct. Mater. 18, 709 (2008).
[CrossRef]

Deng, X.

Denz, C.

Dinges, K.

U. Voelker, K. Dinges, U. Heine, and K. Betzler, Phys. Rev. B 81, 214104 (2010).
[CrossRef]

Fischer, R.

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Gödecker, C.

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, J. Appl. Phys. 102, 114112 (2007).
[CrossRef]

Gopalan, V.

L. Tian, D. A. Scrymgeour, and V. Gopalan, J. Appl. Phys. 97, 114111 (2005).
[CrossRef]

Heine, U.

U. Voelker, K. Dinges, U. Heine, and K. Betzler, Phys. Rev. B 81, 214104 (2010).
[CrossRef]

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, J. Appl. Phys. 102, 114112 (2007).
[CrossRef]

Hu, X. P.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, J. Phys. D 42, 215103 (2009).
[CrossRef]

Imbrock, J.

Ivleva, L. I.

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, JETP Lett. 87, 98 (2008).
[CrossRef]

Juarez, J. L. D.

Kitaeva, G. K.

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, JETP Lett. 87, 98 (2008).
[CrossRef]

Kivshar, Y.

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Kivshar, Y. S.

Y. Sheng, S. M. Saltiel, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, Opt. Lett. 35, 1317 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Kleemann, W.

P. Lehnen, W. Kleemann, T. Woike, and R. Pankrath, Phys. Rev. B 64, 224109 (2001).
[CrossRef]

Koynov, K.

Y. Sheng, S. M. Saltiel, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, Opt. Lett. 35, 1317 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Krolikowski, W.

Y. Sheng, S. M. Saltiel, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, Opt. Lett. 35, 1317 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Kuznetsov, K. A.

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, JETP Lett. 87, 98 (2008).
[CrossRef]

Lao, H.

Lehnen, P.

P. Lehnen, W. Kleemann, T. Woike, and R. Pankrath, Phys. Rev. B 64, 224109 (2001).
[CrossRef]

Martorell, J.

Molina, P.

P. Molina, M. de la O Ramírez, and L. E. Bausá, Adv. Funct. Mater. 18, 709 (2008).
[CrossRef]

Neshev, D.

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Neshev, D. N.

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Pankrath, R.

P. Lehnen, W. Kleemann, T. Woike, and R. Pankrath, Phys. Rev. B 64, 224109 (2001).
[CrossRef]

Ren, H.

Saltiel, S.

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Saltiel, S. M.

Y. Sheng, S. M. Saltiel, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, Opt. Lett. 35, 1317 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Scrymgeour, D. A.

L. Tian, D. A. Scrymgeour, and V. Gopalan, J. Appl. Phys. 97, 114111 (2005).
[CrossRef]

Sheng, Y.

Y. Sheng, S. M. Saltiel, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, Opt. Lett. 35, 1317 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Shevlyuga, A. V.

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, JETP Lett. 87, 98 (2008).
[CrossRef]

Tian, L.

L. Tian, D. A. Scrymgeour, and V. Gopalan, J. Appl. Phys. 97, 114111 (2005).
[CrossRef]

Tunyagi, A. R.

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Ulex, M.

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Vaicaitis, V.

V. Vaičaitis, Opt. Commun. 209, 485 (2002).
[CrossRef]

Vidal, X.

Voelker, U.

U. Voelker, K. Dinges, U. Heine, and K. Betzler, Phys. Rev. B 81, 214104 (2010).
[CrossRef]

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, J. Appl. Phys. 102, 114112 (2007).
[CrossRef]

Volk, T. R.

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, JETP Lett. 87, 98 (2008).
[CrossRef]

Voloch, N.

A. Arie and N. Voloch, Laser Photon. Rev. 4, 355 (2010).
[CrossRef]

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Woike, T.

P. Lehnen, W. Kleemann, T. Woike, and R. Pankrath, Phys. Rev. B 64, 224109 (2001).
[CrossRef]

Xiao, M.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, J. Phys. D 42, 215103 (2009).
[CrossRef]

Xie, X. S.

Zhang, Y.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, J. Phys. D 42, 215103 (2009).
[CrossRef]

Zhao, G.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, J. Phys. D 42, 215103 (2009).
[CrossRef]

Zhu, S. N.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, J. Phys. D 42, 215103 (2009).
[CrossRef]

Adv. Funct. Mater. (1)

P. Molina, M. de la O Ramírez, and L. E. Bausá, Adv. Funct. Mater. 18, 709 (2008).
[CrossRef]

Appl. Phys. Lett. (1)

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

IEEE J. Quantum Electron. (1)

S. M. Saltiel, Y. Sheng, N. Voloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

J. Appl. Phys. (2)

L. Tian, D. A. Scrymgeour, and V. Gopalan, J. Appl. Phys. 97, 114111 (2005).
[CrossRef]

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, J. Appl. Phys. 102, 114112 (2007).
[CrossRef]

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

J. Phys. D (1)

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, J. Phys. D 42, 215103 (2009).
[CrossRef]

JETP Lett. (1)

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, JETP Lett. 87, 98 (2008).
[CrossRef]

Laser Photon. Rev. (1)

A. Arie and N. Voloch, Laser Photon. Rev. 4, 355 (2010).
[CrossRef]

Opt. Commun. (1)

V. Vaičaitis, Opt. Commun. 209, 485 (2002).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. B (2)

P. Lehnen, W. Kleemann, T. Woike, and R. Pankrath, Phys. Rev. B 64, 224109 (2001).
[CrossRef]

U. Voelker, K. Dinges, U. Heine, and K. Betzler, Phys. Rev. B 81, 214104 (2010).
[CrossRef]

Phys. Rev. Lett. (1)

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Supplementary Material (2)

» Media 1: MOV (410 KB)     
» Media 2: MOV (720 KB)     

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Figures (4)

Fig. 1
Fig. 1

(a) Phase-matching condition for Čerenkov-type SHG. (b), (c) Images of two different SH patterns of λ input = 1200 nm corresponding to the unpoled and repoled states, respectively. (d) Phase contrast picture of a repoled polydomain SBN crystal.

Fig. 2
Fig. 2

Čerenkov emission recorded during the switching process of the SBN sample (Media 1, Media 2), (a) at 0.25 kV / cm to (f) at 7.5 kV / cm .

Fig. 3
Fig. 3

Numerical simulation of the azimuthal intensity distribution of the Čerenkov ring in the case of d = 0.3 μm and h = 7 μm , corresponding to the case of an unpoled sample.

Fig. 4
Fig. 4

Numerical simulation of the azimuthal intensity distribution in dependence of the squareness parameter s for a domain width of d = 1.7 μm . For s = 0.4 the weak modulation is marked with dashed circles.

Equations (2)

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E ( 2 ω ) ( r ) V NL d r G ^ ( r , r ) P ( 2 ω ) ( r ) ,
I ( 2 ω ) ( r ) sin ( θ ) 2 ( d eff ( θ ) h ) 2 sinc 2 [ Δ k z ( θ ) h / 2 ] × [ A d x d y exp ( i Δ k x y ( φ , θ ) r ) ] 2 ,

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