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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 5
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Articles

Uniqueness in determining a sound-hard ball with the modulus of a far-field datum

Nanlin YeDepartment of Mathematics, Jinan University, Guangzhou, China.View further author information
&
Juan LiuDepartment of Mathematics, Jinan University, Guangzhou, China.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-7976-991XView further author information
ORCID Icon
Pages 969-980 | Received 18 Jul 2017, Accepted 18 Nov 2017, Published online: 29 Nov 2017

References

  • Colton D , Kress R . Inverse acoustic and electromagnetic scattering theory. 3rd ed. Berlin: Springer; 2013.
  • Liu J , Zhang J . Uniqueness in determining a ball with a single incoming wave. Commun Math Res. 2017;33(2):143–148.
  • Liu H , Zou J . Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering. IMA J Appl Math. 2007;72(6):817–831.
  • Hu G , Liu X , Zhang B . Unique determination of a perfectly conducting ball by a finite number of electric far field data. J Math Anal Appl. 2009;352(2):861–871.
  • Bao G , Li P , Lv J . Numerical solution of an inverse diffraction grating problem from phaseless data. J Opt Soc Am A. 2013;30(3):293–299.
  • Ivanyshyn O , Kress R . Inverse scattering for surface impedance from phase-less far field data. J Comput Phys. 2011;230(9):3443–3452.
  • Franceschini G , Donelli M , Azaro R , et al . Inversion of phaseless total field data using a two-step strategy based on the iterative multiscaling approach. IEEE Trans Geosci Remote Sens. 2006;44(12):3527–3539.
  • Kress R , Rundell W . Inverse obstacle scattering with modulus of the far field pattern as data. In: Engl HW , Louis AK , Rundell W , editors. Inverse problems in medical imaging and nondestructive testing. Vienna: Springer; 1997. p. 75–92.
  • Lee K . Shape reconstructions from phaseless data. Eng Anal Bound Elem. 2016;71:174–178.
  • Zhang B , Zhang H . Recovering scattering obstacles by multi-frequency phaseless far-field data. J Comput Phys. 2017;345:58–73.
  • Li J , Liu H , Wang Y . Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Inverse Probl. 2017;33:035011.
  • Ivanyshyn O . Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Inverse Prob Imaging. 2007;1(4):609–622.
  • Ivanyshyn O , Kress R . Identification of sound-soft 3D obstacles from phasless data. Inverse Prob Imaging. 2010;4(1):131–149.
  • Liu X , Zhang B . Unique determination of a sound-soft ball by the modulus of a single far field datum. J Math Anal Appl. 2010;365(2):619–624.

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