Abstract
Dispersion relation of electromagnetic field in a chiral medium is discussed from the viewpoint of constitutive equations to be used as a partner of Maxwell equations. The popular form of Drude–Born–Fedorov (DBF) constitutive equations is compared with the one which is a simplified form of the first-principles macroscopic constitutive equations. Both of them describe [A] the dependence of the phase velocity of the EM wave in chiral media on the circular polarizations. However, there arises a decisive difference in the dispersion curve in the resonant region of chiral, left-handed character, as to [B] the ability of reproducing the linear crossing at k = 0, which is derived from the first-principles theory. DBF equations are a phenomenology applicable only to A but not to B.
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References
O.N. Singh, A. Lakhtakia, Electromagnetic Fields in Unconventional Materials and Structures (Wiley, 2000)
Z.F. Li, M. Mutlu, E. Ozbay, J. Opt. 15, 023001 (2013)
Review articles in Nat. Mater. 6(1) (2007)
C. Kallin, A.J. Berlinsky, J. Phys. Condens. Matter 21, 164210 (2009)
IUPAP document, Physica 146A, 1 (1987)
E.R. Cohen, et al. (eds.), Quantities, Units and Symbols in Physical Chemistry, 3rd edn. (RSC Publishing, 2007)
K. Cho, Reconstruction of Macroscopic Maxwell Equations, 1st edn. (Springer, Berlin, Heidelberg, 2010)
K. Cho, J. Phys. Condens. Matter 20, 175202 (2008)
P. Drude, Lehrbuch der Optik (S. Hirzel, Leipzig, 1912)
M. Born, Optik (Springer, Heidelberg, 1933)
F.I. Fedorov, Opt. Spectrosc. 6, 49 (1959); ibid. 6, 237 (1959)
Y.B. Band, Light and Matter (Wiley, 2006)
N. Engheta, private commun
K. Cho, Reconstruction of Macroscopic Maxwell Equations, 2nd edn. (Springer, Berlin, Heidelberg, 2018), p. 103
P-G. Luan, Y-T Wang, S. Zhang, X. Zhang, Optics Lett. 36, 675 (2011)
S. Tomita, K. Sawada, A. Porokhnyuk, T. Ueda, Phys. Rev. Lett. 113, 235501 (2014)
Acknowledgements
This work is supported by Grant-in-Aid for scientific research on Innovative Areas Electromagnetic Metamaterials of MEXT Japan (Grant No. 22109001).
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Cho, K. (2019). Dispersion Relation in Chiral Media: Credibility of Drude–Born–Fedorov Equations. In: Sakoda, K. (eds) Electromagnetic Metamaterials. Springer Series in Materials Science, vol 287. Springer, Singapore. https://doi.org/10.1007/978-981-13-8649-7_12
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DOI: https://doi.org/10.1007/978-981-13-8649-7_12
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