Measuring orbital angular momentum of acoustic vortices based on Fraunhofer’s diffraction

doi:10.1088/1674-1056/ab9c11

中国物理B ›› 2020, Vol. 29 ›› Issue (10): 104301-.doi: 10.1088/1674-1056/ab9c11

Chao-Fan Gong(龚超凡)¹, Jing-Jing Li(李晶晶)¹, Kai Guo(郭凯)¹, Hong-Ping Zhou(周红平)¹^,†(), Zhong-Yi Guo(郭忠义)¹^,‡()

收稿日期:2020-02-27 修回日期:2020-05-06 接受日期:2020-06-12 出版日期:2020-10-05 发布日期:2020-10-05
通讯作者: Hong-Ping Zhou(周红平), Zhong-Yi Guo(郭忠义)

Measuring orbital angular momentum of acoustic vortices based on Fraunhofer’s diffraction

Chao-Fan Gong(龚超凡), Jing-Jing Li(李晶晶), Kai Guo(郭凯), Hong-Ping Zhou(周红平)†, and Zhong-Yi Guo(郭忠义)‡

¹ School of Computer and Information, Hefei University of Technology, Hefei 230009, China

Received:2020-02-27 Revised:2020-05-06 Accepted:2020-06-12 Online:2020-10-05 Published:2020-10-05
Contact: ^†Corresponding author. E-mail: ciangela@hfut.edu.cn ^‡Corresponding author. E-mail: guozhongyi@hfut.edu.cn
About author:
†Corresponding author. E-mail: ciangela@hfut.edu.cn
‡Corresponding author. E-mail: guozhongyi@hfut.edu.cn
* Project supported by the National Natural Science Foundation of China (Grant Nos. 61775050 and 11804073), the Natural Science Foundation of Anhui Province, China (Grant Nos. 1808085MF188 and 1808085QA21), and the Fundamental Research Funds for the Central Universities, China (Grant No. PA2019GDZC0098).

摘要/Abstract

Abstract:

Acoustic vortex (AV) beam is triggering the significant research interest in information and communication sciences due to its infinite and mutual orthogonal orbital angular momentums (OAMs). Therefore, measuring the topological charges of an AV beams become a task with great significance. In this work, we present a Fraunhofer diffraction (FD) pattern of an AV beam that can be used to quantitatively detect the OAMs of AV beams. We both theoretically and numerically investigate the FD patterns of AV beams passing through a multipoint interferometer (MPI). It is demonstrated that the topological charges of the AV beams can be determined from the interference intensity patterns. The proposed method may pave the way to the practical applications of AV beams.

Key words: acoustic vortex, multipoint interferometer (MPI), topological charge, Fraunhofer diffraction (FD)

中图分类号: (Acoustic signal processing)

43.60.+d

43.30.Es (Velocity, attenuation, refraction, and diffraction in water, Doppler effect)

Chao-Fan Gong(龚超凡), Jing-Jing Li(李晶晶), Kai Guo(郭凯), Hong-Ping Zhou(周红平), Zhong-Yi Guo(郭忠义). [J]. 中国物理B, 2020, 29(10): 104301-.

Chao-Fan Gong(龚超凡), Jing-Jing Li(李晶晶), Kai Guo(郭凯), Hong-Ping Zhou(周红平)†, and Zhong-Yi Guo(郭忠义)‡. Measuring orbital angular momentum of acoustic vortices based on Fraunhofer’s diffraction[J]. Chin. Phys. B, 2020, 29(10): 104301-.

图/表 5

参考文献 61

[1]	Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185 DOI: 10.1103/PhysRevA.45.8185
[2]	Guo Z Y, Qu S L, Han Y H, Liu S T 2007 Opt. Commun. 280 23 DOI: 10.1016/j.optcom.2007.08.041
[3]	Zhang J R, Guo Z Y, Ge C W, Wang W, Li R Z, Sun Y X, Shen F, Qu S L, Gao J 2015 Opt. Express 23 17883 DOI: 10.1364/OE.23.017883
[4]	Kai C H, Feng Z K, Dedo M I, Huang P, Guo K, Shen F, Gao J, Guo Z Y 2019 Opt. Commun. 430 151 DOI: 10.1016/j.optcom.2018.08.023
[5]	Grier D G 2003 Nature 424 810 DOI: 10.1038/nature01935
[6]	Zhu L, Guo Z Y, Xu Q, Zhang J R, Zhang A J, Wang W, Liu Y, Li Y, Wang X S, Qu S L 2015 Opt. Commun. 354 34 DOI: 10.1016/j.optcom.2015.05.062
[7]	Liu C X, Guo Z Y, Li Y, Wang X S, Qu S L 2015 J. Opt. 17 035402 DOI: 10.1088/2040-8978/17/3/035402
[8]	Inoue R, Kanai N, Yonehara T, Miyamoto Y, Koashi M, Kozuma M 2006 Phys. Rev. A 74 053809 DOI: 10.1103/PhysRevA.74.053809
[9]	Guo Z Y, Qu S L, Sun Z H, Liu S T 2008 Chin. Phys. B 17 4199 DOI: 10.1088/1674-1056/17/11/040
[10]	Wang J, Yang J Y, Fazal I M, Ahmed N, Yan Y, Huang H, Ren Y X, Yue Y, Dolinar S, Tur M, Willner A E 2012 Nat. Photon. 6 488 DOI: 10.1038/nphoton.2012.138
[11]	Wang Z K, Dedo M I, Guo K, Zhou K Y, Shen F, Sun Y X, Liu S T, Guo Z Y 2019 IEEE Photon. J. 11 2916207 DOI: 10.1109/JPHOT.2019.2916207
[12]	Dedo M I, Wang Z K, Guo K, Sun Y X, Shen F, Zhou H P, Gao J, Sun R, Ding Z Z, Guo Z Y 2019 Appl. Sci. 9 2269 DOI: 10.3390/app9112269
[13]	Guo Z Y, Wang Z K, Dedo M I, Guo K 2018 IEEE Photon. J. 10 1 DOI: 10.1109/JPHOT.2018.2859807
[14]	Wang Z K, Guo Z Y 2019 IEEE Access 7 163633 DOI: 10.1109/Access.6287639
[15]	Bozinovic N, Yue Y, Ren Y X, Tur M, Kristensen P, Huang H, Willner A E, Ramachandran S 2013 Science 340 1545 DOI: 10.1126/science.1237861
[16]	Yu T, Xia H, Fan Z H, Xie W K, Zhang P, Liu J S, Chen X 2018 Acta Phys. Sin. 67 134203 in Chinese DOI: 10.7498/aps.67.20180325
[17]	Fang G J, Sun S H, Pu J X 2012 Acta Phys. Sin. 61 064210 in Chinese DOI: 10.7498/aps.61.064210
[18]	Ou J, Jiang Y S, Li F, Liu L 2011 Acta Phys. Sin. 60 114203 in Chinese DOI: 10.7498/aps.60.114203
[19]	Li W, Dai S J, Ma Q Y, Guo G P, Ding H P 2018 Chin. Phys. B 27 024301 DOI: 10.1088/1674-1056/27/2/024301
[20]	Ji Z Y, Zhou G Q 2017 Chin. Phys. B 26 094202 DOI: 10.1088/1674-1056/26/9/094202
[21]	Cheng K, Liu P S, Lu B D 2008 Chin. Phys. B 17 1743 DOI: 10.1088/1674-1056/17/5/034
[22]	Shen F, Mu J N, Guo K, Guo Z Y 2019 IEEE T. Antenn. Propag. 67 5763 DOI: 10.1109/TAP.8
[23]	Yin Z Y, Zheng Q, Guo K, Guo Z Y 2019 Appl. Sci. 9 2949 DOI: 10.3390/app9152949
[24]	Yang Y, Guo K, Shen F, Gong Y B, Guo Z Y 2019 IEEE Access 7 138541 DOI: 10.1109/Access.6287639
[25]	Nye J F, Berry M V 1974 Proc. Soc. A: Math. Phys. 336 165 DOI: 10.1098/rspa.1974.0012
[26]	Jimenez N, Romerogarcía V, Pico R, Cebrecos A, Sanchezmorcillo V J, Garciaraffi L M, Sanchezperez J V, Staliunas K 2014 Europhys. Lett. 106 24005 DOI: 10.1209/0295-5075/106/24005
[27]	Lekner J 2006 J. Acoust. Soc. Am. 120 3475 DOI: 10.1121/1.2360420
[28]	Guo Z Y, Liu H J, Zhou H, Zhou K Y, Wang X M, Shen F, Gong Y B, Gao J, Liu S T, Guo K 2019 Phys. Rev. E 100 053315 DOI: 10.1103/PhysRevE.100.053315
[29]	Zhou H P, Li J J, Guo K, Guo Z Y 2019 J. Acoust. Soc. Am. 146 4237 DOI: 10.1121/1.5135302
[30]	Zhang L K, Marston P L 2011 Phys. Rev. E 84 065601 DOI: 10.1103/PhysRevE.84.065601
[31]	Marston P L 2009 J. Acoust. Soc. Am. 125 3539 DOI: 10.1121/1.3119625
[32]	Hong Z Y, Yin J B, Zhai W, Yan N N, Wang W L, Zhang J, Drinkwater B W 2017 Sci. Rep. 7 7093 DOI: 10.1038/s41598-017-07477-1
[33]	Ahmed D, Ozcelik A, Bojanala N, Nama N, Upadhyay A, Chen Y C, Hannarose W, Huang T J 2016 Nat. Commun. 7 11085 DOI: 10.1038/ncomms11085
[34]	Baresch D, Thomas J, Marchiano R 2016 Phys. Rev. Lett. 116 024301 DOI: 10.1103/PhysRevLett.116.024301
[35]	Wu J R 1991 J. Acoust. Soc. Am. 89 2140 DOI: 10.1121/1.400907
[36]	Brunet T, Thomas J, Marchiano R 2010 Phys. Rev. Lett. 105 034301 DOI: 10.1103/PhysRevLett.105.034301
[37]	Shi C Z, Dubois M, Wang Y, Zhang X 2017 Proc. Natl. Acad. Sci. USA 114 7250 DOI: 10.1073/pnas.1704450114
[38]	Jiang X, Liang B, Cheng J C, Qiu C W 2018 Adv. Mater. 30 1800257 DOI: 10.1002/adma.201800257
[39]	Hefner B T, Marston P L 1999 J. Acoust. Soc. Am. 106 3313 DOI: 10.1121/1.428184
[40]	VolkeSepúlveda K, Santillan A O, Boullosa R R 2008 Phys. Rev. Lett. 100 024302 DOI: 10.1103/PhysRevLett.100.024302
[41]	Demore C E M, Yang Z Y, Volovick A, Cochran S, Macdonald M P, Spalding G C 2012 Phys. Rev. Lett. 108 194301 DOI: 10.1103/PhysRevLett.108.194301
[42]	Shen Y X, Peng Y G, Cai F Y, Huang K, Zhao D G, Qiu C W, Zheng H R, Zhu X F 2019 Nat. Commun. 10 3411 DOI: 10.1038/s41467-019-11430-3
[43]	Shen Y X, Peng Y G, Zhao D G, Chen X C, Zhu J, Zhu X F 2019 Phy. Rev. Lett. 122 094501 DOI: 10.1103/PhysRevLett.122.094501
[44]	Shen Y X, Zhu X F, Cai F Y, Ma T, Li F, Xia X X, Li Y C, Wang C Z, Zheng H R 2019 Phys. Rev. Appl. 11 034009 DOI: 10.1103/PhysRevApplied.11.034009
[45]	Tang H C, Chen Z S, Tang N, Li S F, Shen Y X, Peng Y G, Zhu X F, Zang J F 2018 Adv. Funct. Mater. 28 1801127 DOI: 10.1002/adfm.v28.36
[46]	Zhu X F, Li K, Zhang P, Zhu J, Zhang J T, Tian C, Liu S C 2016 Nat. Commun. 7 11731 DOI: 10.1038/ncomms11731
[47]	Peng Y G, Qin C Z, Zhao D G, Shen Y X, Xu X Y, Bao M, Jia H, Zhu X F 2016 Nat. Commun. 7 13368 DOI: 10.1038/ncomms13368
[48]	Peng Y G, Li Y, Shen Y X, Geng Z G, Zhu J, Qiu C W, Zhu X F 2019 Phys. Rev. Research 1 033149 DOI: 10.1103/PhysRevResearch.1.033149
[49]	Jiang X, Li Y, Liang B, Cheng J C, Zhang L K 2016 Phys. Rev. Lett. 117 034301 DOI: 10.1103/PhysRevLett.117.034301
[50]	Ye L P, Qiu C Y, Lu J Y, Tang K, Jia H, Ke M Z, Peng S S, Liu Z Y 2016 AIP Adv. 6 085007 DOI: 10.1063/1.4961062
[51]	Esfahlani H, Lissek H, Mosig J R 2017 Phys. Rev. B 95 024312 DOI: 10.1103/PhysRevB.95.024312
[52]	Gspan S, Meyer A, Bernet S, Ritschmarte M 2004 J. Acoust. Soc. Am. 115 1142 DOI: 10.1121/1.1643367
[53]	Naify C J, Rohde C A, Martin T P, Nicholas M, Guild M D, Orris G J 2016 Appl. Phys. Lett. 108 223503 DOI: 10.1063/1.4953075
[54]	Rohde C A, Naify C J, Guild M D, Martin T P, Rogers J S, Calvo D C, Orris G J 2017 International Society for Optics and Photonics April 24–27, 2017 Prague, Czech Republic 10170 DOI: 10.1117/12.2260164
[55]	Jimenez N, Pico R, Sanchezmorcillo V J, Romerogarcía V, Garcíaraffi L M, taliunas K 2016 Phys. Rev. E 94 053004 DOI: 10.1103/PhysRevE.94.053004
[56]	Jiang X, Zhao J J, Liu S L, Liang B, Zou X Y, Yang J, Qiu C W, Cheng C J 2016 Appl. Phys. Lett. 108 203501 DOI: 10.1063/1.4949337
[57]	Wang Z X, Zhang N, Yuan X C 2011 Opt. Express 19 482 DOI: 10.1364/OE.19.000482
[58]	Leach J, Courtial J, Skeldon K D, S. M. Brnett S M, Frankearnold S, Padgett M J 2004 Phys. Rev. Lett. 92 013601 DOI: 10.1103/PhysRevLett.92.013601
[59]	Sztul H, Alfano R R 2006 Opt. Lett. 31 999 DOI: 10.1364/OL.31.000999
[60]	Berkhout G C G, Beijersbergen M W 2008 Phys. Rev. Lett. 101 100801 DOI: 10.1103/PhysRevLett.101.100801
[61]	Shi C Z, Dubois M, Wang Y, Zhang X 2017 Proc. Natl. Acad. Sci. USA 114 7250 DOI: 10.1073/pnas.1704450114

Measuring orbital angular momentum of acoustic vortices based on Fraunhofer’s diffraction

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