小瓣数贝塞尔声束的二次谐波

戴玉蓉; 丁德胜

doi:10.7498/aps.60.124302

摘要

采用高斯展开法,研究了具有三个瓣的小瓣数贝塞尔声束的基波和二次谐波的传播性质.根据准线性近似下Khokhlov-Zabolotskaya-Kuznetsov方程的积分形式解,分析了媒质的声吸收(声衰减)对波束形状的影响.结果表明:吸收参量对二次谐波径向分布有很大的影响.当瓣数较少时,实际的有限孔径贝塞尔声束二次谐波仍然具有理想无限大孔径贝塞尔声束的主要特征,在近场无衍射区,径向几乎无衍射.

关键词:

By the Gaussian expansion approach we investigate fundamental- and second-harmonic generation in practical Bessel beams of several lobes. The analysis is based on the integral solutions of the Khokhlov-Zabolotskaya-Kuznetsov equation under the quasilinear approximation. The influence of the medium attenuation on beam profile is considered. Numerical results show that the absorption parameter has a significant effect on the beam profile of the second harmonic. Under certain circumstances, the second harmonic of a practical Bessel beam with several lobes still has the main properties of an ideal Bessel beam of infinite aperture when it propagates within its depth of field.

Keywords:

作者及机构信息

戴玉蓉¹,
丁德胜²

1.
东南大学物理系,南京 210096;

2.
东南大学电子科学与工程学院,南京 210096

基金项目: 国家自然科学基金(批准号:11074038,10674024)资助的课题.

Authors and contacts

Dai Yu-Rong¹,
Ding De-Sheng²

1.
Department of Physics, Southeast University, Nanjing 210096, China;

2.
School of Electronic Science and Engineering, Southeast University, Nanjing 210096, China

参考文献

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施引文献

[1]	Durnin J 1987 J. Opt. Soc. Am. A 4 651
[2]
[3]	Durnin J, Miceli J J, Eberly J H 1987 Phys. Rev. Lett. 58 1499
[4]
[5]	Vasara A, Turunen J, Friberg A T 1989 J. Opt. Soc. Am. A 6 1748
[6]	Wulle T, Herminghaus S 1993 Phys. Rev. Lett. 70 1401
[7]
[8]
[9]	Arlt J, Dholakia K, Allen L, Padgett M J 1999 Phys. Rev. E 60 2438
[10]
[11]	Hsu D K, Margetan F J, Thompson D O 1989 Appl. Phys. Lett. 55 2066
[12]	Compbell J A, Soloway S 1990 J. Acoust. Soc. Am. 88 2667
[13]
[14]	Stepanishen P R, Sun J 1997 J. Acoust. Soc. Am. 102 3308
[15]
[16]
[17]	Lu J Y, Greenleaf J F 1991 Ultrasound Med. Biol. 17 265
[18]
[19]	Lu J Y 1997 IEEE Trans. Ultrason. Ferroelec. Freq. Contr. 44 839
[20]	Lu J Y 1998 IEEE Trans. Ultrason. Ferroelec. Freq. Contr. 45 84
[21]
[22]	Ding D S, Lu Z H 1996 Appl. Phys. Lett. 71 723
[23]
[24]
[25]	Synnevag J, Holm S 1998 IEEE Ultrason. Symp. 2 1885
[26]
[27]	Ding D S, Liu X J 1998 J. Acoust. Soc. Am. 104 2645
[28]	Ding D S, Wang S J, Wang Y J 1999 J. Appl. Phys. 86 1716
[29]
[30]	Ding D S, Lu J Y 2000 Phys. Rev. E 61 2038
[31]
[32]
[33]	Ding D S, Lu J Y 2000 J. Acoust. Soc. Am. 107 1212
[34]	Cunningham K B, Hamilton M F 2000 J. Acoust. Soc. Am. 108 519
[35]
[36]	Ding D S, Xu J Y, Wang Y J 2002 Chin. Phys. Lett. 19 689
[37]
[38]	Huang J H, Ding D S, Hsu Y S 2009 J. Sound Vib. 328 148
[39]
[40]	Holm S, Prieur F 2010 J. Acoust. Soc. Am. 128 1015
[41]
[42]
[43]	Aanonsen S I, Barkve T, Tjotta J N, Tjotta S 1984 J. Acoust. Soc. Am. 75 749
[44]	Hamilton M F, Tjotta J N, Tjotta S 1985 J. Acoust. Soc. Am. 78 202
[45]
[46]
[47]	Hamilton M F 1998 Sound Beams in Nonlinear Acoustics (Boston: Academic) Chap 8
[48]	Wen J J, Breazeale M A 1988 J. Acoust. Soc. Am. 83 1752
[49]
[50]	Huang D, Breazeale M A 1999 J. Acoust. Soc. Am. 106 1771
[51]
[52]	Ding D S, Liu X J 1999 J. Opt. Soc. Am. A 16 1286
[53]
[54]
[55]	Ding D S, Zhang Y, Liu J Q 2003 J. Acoust. Soc. Am. 113 3043
[56]	Ding D S, Zhang Y 2004 J. Acoust. Soc. Am. 116 1401
[57]
[58]
[59]	Ding D S, Tong X J, He P Z 2005 J. Acoust. Soc. Am. 118 608
[60]
[61]	Ding D S, Xu J Y 2006 IEEE Trans. Ultrason. Ferroelectr. Freq. Contr. 53 246
[62]	Ding D S, Shui Y G, Lin J B, Zhang D 1996 J. Acoust. Soc. Am. 100 727
[63]
[64]	Ding D S 2000 J. Acoust Soc. Am. 108 2759
[65]
[66]	Ding D S 2004 J. Acoust. Soc. Am. 115 35
[67]

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