Theoretical study on second-harmonic generation of focused vortex beams

被引:3
作者
Tang, Daolong [1 ]
Wang, Jing [1 ]
Ma, Jingui [1 ]
Zhou, Bingjie [1 ]
Yuan, Peng [1 ]
Xie, Guoqiang [1 ]
Zhu, Heyuan [2 ]
Qian, Liejia [1 ]
机构
[1] Shanghai Jiao Tong Univ, Key Lab Laser Plasma, Minist Educ, Sch Phys & Astron,CICIFSA, Shanghai 200240, Peoples R China
[2] Fudan Univ, Shanghai Engn Res Ctr Ultraprecis Opt Mfg, Dept Opt Sci & Engn, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
vortex beam; second-harmonic generation; phase-matching condition; ORBITAL ANGULAR-MOMENTUM; LAGUERRE-GAUSSIAN MODES; OPTICAL VORTEX; LIGHT; DYNAMICS; CAVITY; LASER;
D O I
10.1088/1612-202X/aa94f4
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Second-harmonic generation (SHG) provides a promising route for generating vortex beams of both short wavelength and large topological charge. Here we theoretically investigate the efficiency optimization and beam characteristics of focused vortex-beam SHG. Owing to the increasing beam divergence, vortex beams have distinct features in SHG optimization compared with a Gaussian beam. We show that, under the noncritical phase-matching condition, the Boyd and Kleinman prediction of the optimal focusing parameter for Gaussianbeam SHG remains valid for vortex-beam SHG. However, under the critical phase-matching condition, which is sensitive to the beam divergence, the Boyd and Kleinman prediction is no longer valid. In contrast, the optimal focusing parameter for maximizing the SHG efficiency strongly depends on the vortex order. We also investigate the effects of focusing and phasematching conditions on the second-harmonic beam characteristics.
引用
收藏
页数:8
相关论文
共 30 条
[1]   Quantized rotation of atoms from photons with orbital angular momentum [J].
Andersen, M. F. ;
Ryu, C. ;
Clade, Pierre ;
Natarajan, Vasant ;
Vaziri, A. ;
Helmerson, K. ;
Phillips, W. D. .
PHYSICAL REVIEW LETTERS, 2006, 97 (17)
[2]   Femtosecond laser surface structuring of silicon using optical vortex beams generated by a q-plate [J].
Anoop, K. K. ;
Rubano, A. ;
Fittipaldi, R. ;
Wang, X. ;
Paparo, D. ;
Vecchione, A. ;
Marrucci, L. ;
Bruzzese, R. ;
Amoruso, S. .
APPLIED PHYSICS LETTERS, 2014, 104 (24)
[3]   INTERACTIONS BETWEEN LIGHT WAVES IN A NONLINEAR DIELECTRIC [J].
ARMSTRONG, JA ;
BLOEMBERGEN, N ;
DUCUING, J ;
PERSHAN, PS .
PHYSICAL REVIEW, 1962, 127 (06) :1918-+
[4]   Orbital angular momentum in noncollinear second-harmonic generation by off-axis vortex beams [J].
Bovino, Fabio Antonio ;
Braccini, Matteo ;
Giardina, Maurizio ;
Sibilia, Concita .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2011, 28 (11) :2806-2811
[5]   PARAMETRIC INTERACTION OF FOCUSED GAUSSIAN LIGHT BEAMS [J].
BOYD, GD ;
KLEINMAN, DA .
JOURNAL OF APPLIED PHYSICS, 1968, 39 (08) :3597-+
[6]  
Boyd RW, 2008, NONLINEAR OPTICS, 3RD EDITION, P1
[7]   Terabit-Scale Orbital Angular Momentum Mode Division Multiplexing in Fibers [J].
Bozinovic, Nenad ;
Yue, Yang ;
Ren, Yongxiong ;
Tur, Moshe ;
Kristensen, Poul ;
Huang, Hao ;
Willner, Alan E. ;
Ramachandran, Siddharth .
SCIENCE, 2013, 340 (6140) :1545-1548
[8]   Dynamics of microparticles trapped in a perfect vortex beam [J].
Chen, Mingzhou ;
Mazilu, Michael ;
Arita, Yoshihiko ;
Wright, Ewan M. ;
Dholakia, Kishan .
OPTICS LETTERS, 2013, 38 (22) :4919-4922
[9]   Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes [J].
Courtial, J ;
Dholakia, K ;
Allen, L ;
Padgett, MJ .
PHYSICAL REVIEW A, 1997, 56 (05) :4193-4196
[10]   Second-harmonic generation and the orbital angular momentum of light [J].
Dholakia, K ;
Simpson, NB ;
Padgett, MJ ;
Allen, L .
PHYSICAL REVIEW A, 1996, 54 (05) :R3742-R3745