Abstract
The computation of the reflection/transmission coefficients from normally illuminated bianisotropic metamaterial slabs through a rigorous method is presented in this paper. The bianisotropic particles that compose finite slabs are approximated as electric and magnetic dipoles. Modeling these slabs as a succession of 2D arrays, the interaction of all dipoles is described via Green’s function series, for a given wave illumination on each array, and the excited dipole moments are obtained by the resulting linear system. Finally, the reflection/transmission coefficients are derived in terms of summing the scattering from the equivalent surfaces that comprise the slab. The new algorithm is applied to a bianisotropic and a complicated chiral particle, while all results are compared to numerically simulated ones.
Similar content being viewed by others
References
A. Chipouline, J. Petschulat, A. Tuennermann, T. Pertsch, C. Menzel, C. Rockstuhl, F. Lederer, Appl. Phys. A 103, 899–904 (2011)
D.C. Tzarouchis, P. Yla-Oijala, T. Ala-Nissila, A. Sihvola, Appl. Phys. A 122, 1–7 (2016)
T.D. Karamanos, A.I. Dimitriadis, N.V. Kantartzis, Adv. Electromagn. 1, 64–70 (2012)
V.S. Asadchy, I.A. Faniayeu, Y. Radi, S.A. Tretyakov, Photonics Nanostruct. Fundam. Appl. 12, 298–304 (2014)
T.D. Karamanos, A.I. Dimitriadis, N.V. Kantartzis, IET Microw. Antennas Propag. 8, 1398–1407 (2014)
X.X. Liu, Y. Zhao, A. Alù, IEEE Trans. Antennas Propag. 64, 2301–2310 (2016)
E.F. Kuester, M.A. Mohamed, M. Piket-May, C.L. Holloway, IEEE Trans. Antennas Propag. 51, 2641–2651 (2003)
A.I. Dimitriadis, N.V. Kantartzis, T.D. Tsiboukis, C. Hafner, J. Comp. Phys. 281, 251–268 (2015)
A.D. Scher, E.F. Kuester, PIER B 30, 1–26 (2011)
S. Campione, F. Capolino, J. Opt. Soc. Am. B 33, 261–270 (2016)
X.X. Liu, A. Alù, Phys. Rev. B 87, 235136 (2013)
O. Ouchetto, B.A. El Majd, H. Ouchetto, B. Essakhi, S. Zouhdi, IEEE Trans. Antennas Propag. 64, 1751–1758 (2016)
R.A. Shore, A.D. Yaghjian, IEICE Trans. Commun. 91, 1819–1824 (2008)
T. Karamanos, N. Kantartzis, Appl. Phys. A 122, 1–7 (2016)
S.A. Tretyakov, F. Mariotte, C.R. Simovski, T.G. Kharina, J.-P. Heliot, IEEE Trans. Antennas Propag. 44, 1006–1014 (1996)
P.A. Belov, C.R. Simovski, Phys. Rev. E 72, 026615 (2005)
D.H. Berman, Am. J. Phys. 71, 917–924 (2003)
CST MWS™: Computer Simulation Technology: Microwave Studio, CST Std. (2014)
Acknowledgements
This research has been financed by the A. S. Onassis Public Benefit Foundation, under Grant GZL060-1/2015–2016.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Karamanos, T., Papadimopoulos, A., Kantartzis, N. et al. Reflection/transmission calculation of complex particle slabs for normal incidence through dipole approximation. Appl. Phys. A 123, 90 (2017). https://doi.org/10.1007/s00339-016-0634-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00339-016-0634-2