Higher-order harmonics of general limited diffraction Bessel beams

doi:10.1088/1674-1056/25/12/124307

Abstract

In this paper, we extensively study the higher-order harmonic generation of the general limited diffraction m-th-order Bessel beam. The analysis is based on successive approximations of the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation. Asymptotic expansions are presented for higher-order harmonic Bessel beams in near and far fields. The validity of asymptotic approximation is also analyzed. The higher-order harmonic of the Bessel beam with the lowest zero-order is taken as a special example.

Keywords: harmonic generation Bessel beam limited diffraction

Received: 26 March 2016
Revised: 01 June 2016
Accepted manuscript online:

PACS:	43.25.Cb	(Macrosonic propagation, finite amplitude sound; shock waves)
	43.25.Lj	(Parametric arrays, interaction of sound with sound, virtual sources)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11074038 and 11374051).

Corresponding Authors: De-Sheng Ding
E-mail: dds@seu.edu.cn

Cite this article:

De-Sheng Ding(丁德胜), Jin-Huang Huang(黄锦煌) Higher-order harmonics of general limited diffraction Bessel beams 2016 Chin. Phys. B 25 124307

[1]	Lord Rayleigh 1897 Phil. Mag. 43 125
[2]	Stratton J A 1941 Electromagnetic Theory (New York and London:McGraw-Hill) p. 356
[3]	Durnin J 1987 J. Opt. Soc. Am. A 4 651
[4]	Durnin J, Miceli J J Jr and Eberly J H 1987 Phys. Rev. Lett. 58 1499
[5]	Gori F, Guattari and Padovani C 1987 Opt. Commun. 64 491
[6]	Indebetouw G 1989 J. Opt. Soc. Am. A 6 150
[7]	Vasara A, Turunen J and Friberg A T 1989 J. Opt. Soc. Am. A 6 1748
[8]	Herman R M and Wiggins T A 1991 J. Opt. Soc. Am. A 8 932
[9]	Wulle T and Herminghaus S 1993 Phys. Rev. Lett. 70 1401
[10]	Paterson C and Smith R 1996 Opt. Commun. 124 121
[11]	Gutierrez-Vega J C, Iturbe-Castillo M D and Chavez-Gerda S 2000 Opt. Lett. 25 1493
[12]	Hsu D K, Margetan F J and Thompson D O1989 Appl. Phys. Lett. 55 2066
[13]	Compbell J A and Soloway S 1990 J. Acoust. Soc. Am. 88 2467
[14]	Stepanishen P R and Sun J 1997 J. Acoust. Soc. Am. 102 3308
[15]	Lu J Y and Greenleaf J F 1991 Ultrasound Med. & Biol. 17 265
[16]	Lu J Y 1997 IEEE. Trans. Ultrason. Ferroelec. Freq. Control 44 839
[17]	Lu J Y 1998 IEEE Trans. Ultrason. Ferroelec. Freq. Control 45 84
[18]	Ding D and Lu Z 1996 Appl. Phys. Lett. 68 608
[19]	Ding D and Lu Z 1997 Appl. Phys. Lett. 71 723
[20]	Synnevag J and Holm S 1998 IEEE Ultrason. Symp., October, 1998, Sendai, Vol. 2, pp. 1885-1888
[21]	Ding D and Liu X 1998 J. Acoust. Soc. Am. 104 2645
[22]	Ding D, Wang S and Wang Y 1999 J. Appl. Phys. 86 1716
[23]	Ding D and Lu J Y 2000 Phys. Rev. E 61 2038
[24]	Ding D and Lu J Y 2000 J. Acoust. Soc. Am. 107 1212
[25]	Cunningham K B and Hamilton M F 2000 J. Acoust. Soc. Am. 108 519
[26]	Aanonsen S, Barkve T, Tjφ tta J N and Tjφ tta S 1984 J. Acoust. Soc. Am. 75 749
[27]	Hamilton M F, Tjφ tta J N and Tjφ tta S 1984 J. Acoust. Soc. Am. 78 202
[28]	Hamilton M F 1998 "Sound beams, in Nonlinear Acoustics, edited by Hamilton M F and Blackstock D T (Boston:Academic) Chap. 8
[29]	Ding D 2004 J. Acoust. Soc. Am. 115 35
[30]	Gradsthteyn I S and Ryzhik I M 1980 Table of Integrals, Series, and Products (New York:Academic)

[1]	Phase-coherence dynamics of frequency-comb emission via high-order harmonic generation in few-cycle pulse trains Chang-Tong Liang(梁畅通), Jing-Jing Zhang(张晶晶), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2023, 32(3): 033201.
[2]	Spectral shift of solid high-order harmonics from different channels in a combined laser field Dong-Dong Cao(曹冬冬), Xue-Fei Pan(潘雪飞), Jun Zhang(张军), and Xue-Shen Liu(刘学深). Chin. Phys. B, 2023, 32(3): 034204.
[3]	High-order harmonic generation of the cyclo[18]carbon molecule irradiated by circularly polarized laser pulse Shu-Shan Zhou(周书山), Yu-Jun Yang(杨玉军), Yang Yang(杨扬), Ming-Yue Suo(索明月), Dong-Yuan Li(李东垣), Yue Qiao(乔月), Hai-Ying Yuan(袁海颖), Wen-Di Lan(蓝文迪), and Mu-Hong Hu(胡木宏). Chin. Phys. B, 2023, 32(1): 013201.
[4]	Effect of laser focus in two-color synthesized waveform on generation of soft x-ray high harmonics Yanbo Chen(陈炎波), Baochang Li(李保昌), Xuhong Li(李胥红), Xiangyu Tang(唐翔宇), Chi Zhang(张弛), and Cheng Jin(金成). Chin. Phys. B, 2023, 32(1): 014203.
[5]	Second harmonic generation from precise diamond blade diced ridge waveguides Hui Xu(徐慧), Ziqi Li(李子琦), Chi Pang(逄驰), Rang Li(李让), Genglin Li(李庚霖), Sh. Akhmadaliev, Shengqiang Zhou(周生强), Qingming Lu(路庆明), Yuechen Jia(贾曰辰), and Feng Chen(陈峰). Chin. Phys. B, 2022, 31(9): 094209.
[6]	Probing subcycle spectral structures and dynamics of high-order harmonic generation in crystals Long Lin(林龙), Tong-Gang Jia(贾铜钢), Zhi-Bin Wang(王志斌), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2022, 31(9): 093202.
[7]	Optical second-harmonic generation of Janus MoSSe monolayer Ce Bian(边策), Jianwei Shi(史建伟), Xinfeng Liu(刘新风), Yang Yang(杨洋), Haitao Yang(杨海涛), and Hongjun Gao(高鸿钧). Chin. Phys. B, 2022, 31(9): 097304.
[8]	Photon-interactions with perovskite oxides Hongbao Yao(姚洪宝), Er-Jia Guo(郭尔佳), Chen Ge(葛琛), Can Wang(王灿), Guozhen Yang(杨国桢), and Kuijuan Jin(金奎娟). Chin. Phys. B, 2022, 31(8): 088106.
[9]	Tunable spectral shift of high-order harmonic generation in atoms using a sinusoidally phase-modulated pulse Yue Qiao(乔月), Jun Wang(王俊), Yan Yan(闫妍), Simeng Song(宋思蒙), Zhou Chen(陈洲), Aihua Liu(刘爱华), Jigen Chen(陈基根), Fuming Guo(郭福明), and Yujun Yang(杨玉军). Chin. Phys. B, 2022, 31(6): 064214.
[10]	Generation of elliptical isolated attosecond pulse from oriented H₂⁺ in a linearly polarized laser field Yun-He Xing(邢云鹤), Jun Zhang(张军), Xiao-Xin Huo(霍晓鑫), Qing-Yun Xu(徐清芸), and Xue-Shen Liu(刘学深). Chin. Phys. B, 2022, 31(4): 043203.
[11]	Enhancement of isolated attosecond pulse generation by using long gas medium Yueying Liang(梁玥瑛), Xinkui He(贺新奎), Kun Zhao(赵昆), Hao Teng(滕浩), and Zhiyi Wei(魏志义). Chin. Phys. B, 2022, 31(4): 043302.
[12]	Orientation and ellipticity dependence of high-order harmonic generation in nanowires Fan Yang(杨帆), Yinghui Zheng(郑颖辉), Luyao Zhang(张路遥), Xiaochun Ge(葛晓春), and Zhinan Zeng(曾志男). Chin. Phys. B, 2022, 31(4): 044204.
[13]	Decoding the electron dynamics in high-order harmonic generation from asymmetric molecular ions in elliptically polarized laser fields Cai-Ping Zhang(张彩萍) and Xiang-Yang Miao(苗向阳). Chin. Phys. B, 2022, 31(4): 043301.
[14]	Attosecond spectroscopy for filming the ultrafast movies of atoms, molecules and solids Lixin He(何立新), Xiaosong Zhu(祝晓松), Wei Cao(曹伟), Pengfei Lan(兰鹏飞), and Peixiang Lu(陆培祥). Chin. Phys. B, 2022, 31(12): 123301.
[15]	High-order harmonic generations in tilted Weyl semimetals Zi-Yuan Li(李子元), Qi Li(李骐), and Zhou Li(李舟). Chin. Phys. B, 2022, 31(12): 124204.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Higher-order harmonics of general limited diffraction Bessel beams

Cite this article:

Online attention