Publication Cover
Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 14
62
Views
2
CrossRef citations to date
0
Altmetric
Research Article

The reciprocity gap operator for electromagnetic scattering in chiral media

, &
Pages 5006-5016 | Received 20 Jun 2020, Accepted 26 Dec 2020, Published online: 29 Jan 2021

References

  • Ammari H., Nédélec J.C. Time-harmonic electromagnetic fields in thin chiral curved layers. SIAM J Math Anal. 1998;29:395–423.
  • Lakhtakia A. Beltrami fields in chiral media. Singapore: World Scientific; 1994.
  • Lakhtakia A., Varadan V.K, Varadan V.V. Time-harmonic electromagnetic fields in chiral media. Springer; 1989. (Lecture notes in physics; Vol. 335).
  • Lindell I., Sihvola A.H, Tretyakov S.A., et al. Electromagnetic waves in chiral and Bi-Isotropic media. Artech House: Boston, London;1994.
  • Wang Z., Cheng F., Winsor T., et al. Optical chiral metamaterials: a review of the fundamentals,Fabrication Methods and Applications Nanotechnol.,2016;27:20.
  • Athanasiadis C., Kardasi E. Beltrami Herglotz functions for electromagnetic scattering theory in chiral media. Appl Anal. 2005;84:145–163.
  • Colton D., Kress R. Inverse acoustic and electromagnetic scattering theory. New York (NY): Springer Verlag; 1998.
  • Colton D., Haddar H. An application of the reciprocity gap functional to inverse scattering theory. Inverse Probl. 2005;21:383–398.
  • Cakoni F., Fares M., Haddar H. Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects. Inverse Probl. 2006;22:845–867.
  • Cakoni F., Colton D. Qualitative methods in inverse scattering theory. New York (NY): Springer Verlag; 2006.
  • Cakoni F., Colton D, Monk P. The linear sampling method in inverse electromagnetic scattering. Philadelphia: SIAM Society for Industrial and Applied Mathematics; 2011.
  • Athanasiadis C.E., Natroshvili D., Sevroglou V., et al. An application of the reciprocity gap functional to inverse mixed impedance problems in elasticity. Inverse Probl. 2010;26:085011. 19pp.
  • Cakoni F., Colton D. Target identification of buried coated objects. Comput Appl Math. 2006;25:269–288.
  • Cakoni F., Haddar H. Identification of partially coated anisotropic buried objects using electromagnetic Cauchy data. J Integral Equ Appl. 2007;19(3):359–389.
  • Sun Y., Guo Y, Ma F. The reciprocity gap functional method for the inverse scattering problem for cavities. Appl Anal. 2016;95:1327–1346.
  • Zeng F., Liu X., Sun J., et al. Reciprocity gap method for an interior inverse scattering problem. J Inverse Ill-Posed Prob. 2017;25:57–68.
  • Charnley M., Wood A. Object identification in Radar imaging via the reciprocity gap method. Radio Sci. https://doi.org/10.1029/2019RS006946.
  • Takida Y., Koyama S., Ueno N., et al. Reciprocity gap functional in spherical harmonic domain for gridless sound field decomposition. Signal Process. https://doi.org/10.1016/j.sigpro.2019.107383.
  • Athanasiadis C., Berketis N. Scattering relations for point source excitation in chiral media. Math Meth Appl Sci. 2006;29:27–48.
  • Athanasiadis C., Costakis G., Stratis I.G. Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment. IMA J Appl Math. 2000;64:245–258.
  • Colton D., Kress R. On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Math Meth Appl Sci. 2001;24:1289–1303.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.