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Thus far, focusing a single beam and combining multi-optical Gaussian beams have become two major methods of locally enhancing output laser intensity. In this paper, we propose a method of generating free space auto-focusing beams by combining multiple one-dimensional Airy beams. By employing split-step beam propagation method, auto-focusing beams generated by four and eight one-dimensional Airy beams are numerically simulated, and their intensity distributions are displayed from both transverse plane and side-view propagation. By utilizing a spatial light modulator and computer generated phase masks, these auto-focusing beams are experimentally demonstrated. Our experimental results accord well with the numerical simulations.
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Keywords:
- Airy beam /
- auto-focusing beam /
- laser combination /
- spatial light modulation
[1] Hu Y, Siviloglo G A, Zhang P, Efremidis N K, Christodoulides D N, Chen Z G 2012 Nonlinear Photonics and Novel Optical Phenomena (1st Edn.) (New York: Springer) p1
[2] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[3] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[4] Hu Y, Zhang P, Lou C, Huang S, Xu J, Chen Z G 2010 Opt. Lett. 35 2260
[5] Hu Y, Huang S, Zhang P, Lou C, Xu J, Chen Z G 2010 Opt. Lett. 35 3952
[6] Ellenbogen T, Voloch-Bloch N, Ganany-Padowicz A, Arie A 2009 Nature Photon. 10 1038
[7] Ye Z Y, Liu S, Lou C B, Zhang P, Hu Y, Song D H, Zhao Z L, Chen Z G 2011 Opt. Lett. 36 3230
[8] Zhang P, Wang S, Liu Y, Yin X, Lu C, Chen Z G, Zhang X 2011 Opt. Lett. 36 3191
[9] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2008 Opt. Lett. 33 207
[10] Hwang C Y, Kim K Y, Lee B 2011 Opt. Express 19 7356
[11] Efremidis N K, Christodoulides D N 2010 Opt. Lett. 35 4045
[12] Zhang P, Prakash J, Zhang Z, Kajorndej V, Efremidis N K, Christodoulides D N, Chen Z G 2011 Opt. Lett. 36 2883
[13] Papazoglou D G, Efremidis N K, Christodoulides D N, Tzortzakis S 2011 Opt. Lett. 36 1842
[14] Zhang P, Zhang Z, Prakash J, Huang S, Hernandez D, Salazar M, Christodoulides D N, Chen Z G 2011 Opt. Lett. 36 1491
[15] Zhang P, Huang S, Hu Y, Hernandez D, Chen Z G 2010 Opt. Lett. 35 3129
[16] Zhang P, Hu Y, Cannan D, Salandrino A, Li T C, Morandotti R, Zhang X, Chen Z G 2012 Opt. Lett. 37 2820
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[1] Hu Y, Siviloglo G A, Zhang P, Efremidis N K, Christodoulides D N, Chen Z G 2012 Nonlinear Photonics and Novel Optical Phenomena (1st Edn.) (New York: Springer) p1
[2] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[3] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[4] Hu Y, Zhang P, Lou C, Huang S, Xu J, Chen Z G 2010 Opt. Lett. 35 2260
[5] Hu Y, Huang S, Zhang P, Lou C, Xu J, Chen Z G 2010 Opt. Lett. 35 3952
[6] Ellenbogen T, Voloch-Bloch N, Ganany-Padowicz A, Arie A 2009 Nature Photon. 10 1038
[7] Ye Z Y, Liu S, Lou C B, Zhang P, Hu Y, Song D H, Zhao Z L, Chen Z G 2011 Opt. Lett. 36 3230
[8] Zhang P, Wang S, Liu Y, Yin X, Lu C, Chen Z G, Zhang X 2011 Opt. Lett. 36 3191
[9] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2008 Opt. Lett. 33 207
[10] Hwang C Y, Kim K Y, Lee B 2011 Opt. Express 19 7356
[11] Efremidis N K, Christodoulides D N 2010 Opt. Lett. 35 4045
[12] Zhang P, Prakash J, Zhang Z, Kajorndej V, Efremidis N K, Christodoulides D N, Chen Z G 2011 Opt. Lett. 36 2883
[13] Papazoglou D G, Efremidis N K, Christodoulides D N, Tzortzakis S 2011 Opt. Lett. 36 1842
[14] Zhang P, Zhang Z, Prakash J, Huang S, Hernandez D, Salazar M, Christodoulides D N, Chen Z G 2011 Opt. Lett. 36 1491
[15] Zhang P, Huang S, Hu Y, Hernandez D, Chen Z G 2010 Opt. Lett. 35 3129
[16] Zhang P, Hu Y, Cannan D, Salandrino A, Li T C, Morandotti R, Zhang X, Chen Z G 2012 Opt. Lett. 37 2820
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