Theoretical Introduction and Generation Method of a Novel Nondiffracting Waves: Olver Beams

作者: Abdelmajid Belafhal , Lahcen Ez-Zariy , Salima Hennani , Hamid Nebdi

DOI: 10.4236/OPJ.2015.57023

关键词:

摘要: In this paper, we introduce a new class of scalar nondiffracting Helmholtz-equation solution. We demonstrate that novel wave-equation solution has some specific orders; among these ordinary Airy beams which are regarded as the zeroth order. Moreover, general expression beams, named Olver Beams and referred to OBs, is developed. The first high orders incident OBs presented theoretically numerically in paper. Yet, based on computer generated holograms method, generation’s masks Finite given work. Also, transverse intensity distribution 1-D 2-D performed.

参考文章(34)
Oliveier Vallée, Manuel Soares, Airy functions and applications to physics ,(2004)
Xiaowei Liu, Jingzhen Li, Hongyi Chen, Yupeng Fan, The deflected angle and reflected displacement of Airy beams Optik. ,vol. 124, pp. 6519- 6522 ,(2013) , 10.1016/J.IJLEO.2013.05.044
Svetlana N. Khonina, Specular and vortical Airy beams Optics Communications. ,vol. 284, pp. 4263- 4271 ,(2011) , 10.1016/J.OPTCOM.2011.05.068
Guoquan Zhou, Ruipin Chen, Xiuxiang Chu, Fractional Fourier transform of Airy beams Applied Physics B. ,vol. 109, pp. 549- 556 ,(2012) , 10.1007/S00340-012-5117-3
Alicia V. Carpentier, Humberto Michinel, José R. Salgueiro, David Olivieri, Making optical vortices with computer-generated holograms American Journal of Physics. ,vol. 76, pp. 916- 921 ,(2008) , 10.1119/1.2955792
Halil T. Eyyuboğlu, Scintillation behavior of Airy beam Optics & Laser Technology. ,vol. 47, pp. 232- 236 ,(2013) , 10.1016/J.OPTLASTEC.2012.08.029
M. V. Berry, N. L. Balazs, Nonspreading wave packets American Journal of Physics. ,vol. 47, pp. 264- 267 ,(1979) , 10.1119/1.11855
Rui-Pin Chen, Li-Xin Zhong, Qiyang Wu, Khian-Hooi Chew, Propagation properties and M2 factors of a vortex Airy beam Optics & Laser Technology. ,vol. 44, pp. 2015- 2019 ,(2012) , 10.1016/J.OPTLASTEC.2012.03.038
H. He, N.R. Heckenberg, H. Rubinsztein-Dunlop, Optical Particle Trapping with Higher-order Doughnut Beams Produced Using High Efficiency Computer Generated Holograms Journal of Modern Optics. ,vol. 42, pp. 217- 223 ,(1995) , 10.1080/09500349514550171
Ke Cheng, Xianqiong Zhong, Anping Xiang, Propagation dynamics, Poynting vector and accelerating vortices of a focused Airy vortex beam Optics & Laser Technology. ,vol. 57, pp. 77- 83 ,(2014) , 10.1016/J.OPTLASTEC.2013.09.039