Second-harmonic generation of the Bessel sound beam of several lobes

Dai Yu-Rong; Ding De-Sheng

doi:10.7498/aps.60.124302

Abstract

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:

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

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[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
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[52]	Ding D S, Liu X J 1999 J. Opt. Soc. Am. A 16 1286
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[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
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[59]	Ding D S, Tong X J, He P Z 2005 J. Acoust. Soc. Am. 118 608
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[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
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[64]	Ding D S 2000 J. Acoust Soc. Am. 108 2759
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[66]	Ding D S 2004 J. Acoust. Soc. Am. 115 35
[67]

Cited By

[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]

Catalog

Vol. 60, Issue 12 - 2011-06-20

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