Sensitivity analysis for the active manipulation of Helmholtz fields in 3D

References

• Fuller C, von Flotow A. Active control of sound and vibration. IEEE Control Syst Mag. 1995;15(6):9–19. doi: 10.1109/37.476383
   Web of Science ®Google Scholar
• Peake N, Crighton DG. Active control of sound. Annu Rev Fluid Mech. 2000;32:137–164. doi: 10.1146/annurev.fluid.32.1.137
   Web of Science ®Google Scholar
• Elliott S. Signal processing for active control. 1st ed. London: Academic Press; 2000. (Signal Processing and its Applications).
   Google Scholar
• Nelson PA, Elliott SJ. Active control of sound. London: Academic Press; 1992.
   Google Scholar
• Olson HF, May EG. Electronic sound absorber. J Acad Soc Am. 1953;25:1130–1136. doi: 10.1121/1.1907249
   Web of Science ®Google Scholar
• Cheer J, Elliott SJ. Multichannel control systems for the attenuation of interior road noise in vehicles. Mech Syst Signal Process. 2015;60–61:753–769. doi: 10.1016/j.ymssp.2015.01.008
   Web of Science ®Google Scholar
• Kim Y, Choi J. Sound field reproduction. Hoboken: Wiley-Blackwell; 2013. Chapter 6; p. 283–370.
   Google Scholar
• Rabenstein R, Spors S. Sound field reproduction. In: Benesty J, Sondhi MM, Huang YA, editors. Springer handbook of speech processing. New York: Springer-Verlag; 2008. p. 1095–1114.
   Google Scholar
• Ahrens J, Spors S. Sound field reproduction using planar and linear arrays of loudspeakers. IEEE Trans Audio Speech Lang Process. 2010;18(8):2038–2050. doi: 10.1109/TASL.2010.2041106
   Google Scholar
• Ahrens J. Analytic methods of sound field synthesis. New York: Springer; 2012. (T-Labs Series in Telecommunications Services).
   Google Scholar
• Miller DAB. On perfect cloaking. Opt Express. 2006;14:12457–12466. doi: 10.1364/OE.14.012457
   PubMed Web of Science ®Google Scholar
• Bobrovnitskii YI. A new impedance-based approach to analysis and control of sound scattering. J Sound Vib. 2006;297:743–760. doi: 10.1016/j.jsv.2006.04.030
   Web of Science ®Google Scholar
• Bobrovnitskii YI. Impedance acoustic cloaking. New J Phys. 2010;12:043049. doi: 10.1088/1367-2630/12/4/043049
   Web of Science ®Google Scholar
• Friot E, Guillermin R, Winninger M. Active control of scattered acoustic radiation: a real-time implementation for a three-dimensional object. Acta Acust United Acust. 2006;92:278–288.
   Web of Science ®Google Scholar
• Noris AN. Acoustic cloaking. Acoustics Today. 2015;11(1):38–46.
   Google Scholar
• Vasquez FG, Milton GW, Onofrei D. Broadband exterior cloaking. Opt Exp. 2009;17(17):14800–14805. doi: 10.1364/OE.17.014800
   PubMed Web of Science ®Google Scholar
• Vasquez FG, Milton GW, Onofrei D. Active exterior cloaking for the 2D Laplace and Helmholtz equations. Phys Rev Lett. 2009;103:073901. doi: 10.1103/PhysRevLett.103.073901
   PubMed Web of Science ®Google Scholar
• Cheer J. Active control of scattered acoustic fields: cancellation, reproduction and cloaking. J Acoust Soc Am. 2016;140(3):1502–1512. doi: 10.1121/1.4962284
   PubMed Web of Science ®Google Scholar
• Guevara Vasquez F, Milton GW, Onofrei D. Exterior cloaking with active sources in two dimensional acoustics. Wave Motion. 2011;48:515–524. doi: 10.1016/j.wavemoti.2011.03.005
   Web of Science ®Google Scholar
• Lončarić J, Ryaben'kii VS, Tsynkov SV. Active shielding and control of noise. SIAM J Appl Math. 2001;62(2):563–596. doi: 10.1137/S0036139900367589
   Web of Science ®Google Scholar
• Lončarić J, Tsynkov SV. Quadratic optimization in the problems of active control of sound. Appl Numer Math. 2005;52:381–400. doi: 10.1016/j.apnum.2004.08.041
   Web of Science ®Google Scholar
• Olivieri F, Fazi F, Fontana S, et al. Generation of private sound with a circular loudspeaker array and the weighted pressure matching method. IEEE/ACM Trans Audio, Speech, Lang Process. 2017;5:1–21.
   Google Scholar
• Coleman P, Jackson PJB, Olik M, et al. Acoustic contrast, planarity and robustness of sound zone methods using a circular loudspeaker array. J Acoust Soc Am. 2014;135(4):1929–1940. doi: 10.1121/1.4866442
   PubMed Web of Science ®Google Scholar
• Cai Y, Wu M, Yang J. Sound reproduction in personal audio systems using the least-squares approach with acoustic contrast control constraint. J Acoust Soc Am. 2014;135(2):734–741. doi: 10.1121/1.4861341
   PubMed Web of Science ®Google Scholar
• Zhang W, Abhayapala TD, Betlehem T, et al. Analysis and control of multi-zone sound field reproduction using modal-domain approach. J Acoust Soc Am. 2016;140(3):2134–2144. doi: 10.1121/1.4963084
   PubMed Web of Science ®Google Scholar
• Elliot SJ, Cheer J, Choi JW, et al. Robustness and regularization of personal audio systems. IEEE Trans Audio, Speech, Lang Process. 2012;20(7):2123–2133. doi: 10.1109/TASL.2012.2197613
   Google Scholar
• Poletti MA, Fazi FM. An approach to generating two zones of silence with application to personal sound systems. J Acoust Soc Am. 2015;137:598–605. doi: 10.1121/1.4906582
   PubMed Web of Science ®Google Scholar
• Onofrei D. Active manipulation of fields modeled by the Helmholtz equation. J Integral Equ Appl. 2014;26(4):553–579. doi: 10.1216/JIE-2014-26-4-553
   Web of Science ®Google Scholar
• Onofrei D, Platt E. On the synthesis of acoustic sources with controllable near fields. Wave Motion. 2018;77:12–27. doi: 10.1016/j.wavemoti.2017.10.004
   Web of Science ®Google Scholar
• Onofrei D. On the active manipulation of fields and applications. I – the quasistatic regime. Inverse Probl. 2012;28(10):105009. doi: 10.1088/0266-5611/28/10/105009
   Web of Science ®Google Scholar
• Doicu A, Eremin Y, Wriedt T. Acoustic and electromagnetic scattering analysis using discrete sources. London: Academic Press; 2000.
   Google Scholar
• Hubenthal M, Onofrei D. Sensitivity analysis for active control of the Helmholtz equation. Appl Numer Math. 2016;106:1–23. doi: 10.1016/j.apnum.2016.03.003
   Web of Science ®Google Scholar
• Colton D, Kress R. Inverse acoustic and electromagnetic scattering theory. 3rd ed. New York: Springer-Verlag; 2013.
   Google Scholar
• Abramowitz M, Stegun IA. Handbook of mathematical functions with formulas, graphs and mathematical tables. 10th ed. Maryland: National Bureau of Standards; 1972. (Applied Mathematics Series 55).
   Google Scholar
• Watson GN. A treatise on the theory of Bessel functions. Cambridge: Cambridge University Press; 1906.
   Google Scholar
• https://drive.google.com/open?id=1m5nnofuIc56_aaU76HHjqkH4aRLRIsRi; 2018.
   Google Scholar