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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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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