Electromagnetic Metasurfaces. Christophe Caloz

Electromagnetic Metasurfaces

can be decomposed as

(2.86) upper M overbar overbar equals upper D overbar overbar plus upper N overbar overbar comma

Table 2.3 Classification of bianisotropic media [148].

Type	Parameters	Medium
Reciprocal		Omega
		Pseudochiral
		Pseudochiral omega
		Pasteur (or biisotropic)
		Chiral omega
		Anisotropic chiral
		General reciprocal
Nonreciprocal		Moving
		Pseudo Tellegen
		Moving pseudo Tellegen
		Tellegen
		Moving Tellegen
		Anisotropic Tellegen
		Nonreciprocal nonchiral

where upper D overbar overbar is a diagonal tensor and upper N overbar overbar is a traceless tensor that can be further split into a symmetric part, upper S overbar overbar , and an antisymmetric part, upper A overbar overbar , where

(2.87) upper S overbar overbar equals StartFraction upper N overbar overbar plus upper N overbar overbar Superscript normal upper T Baseline Over 2 EndFraction and upper A overbar overbar equals StartFraction upper N overbar overbar minus upper N overbar overbar Superscript normal upper T Baseline Over 2 EndFraction comma

such that (2.86) becomes

(2.88) upper M overbar overbar equals upper D overbar overbar plus upper S overbar overbar plus upper A overbar overbar period

Notes

1 1 Each of the four tensors in (2.3) contains susceptibility components, amounting to a total of susceptibilities.

2 2 Note that some materials, such as glass, can often be assumed to be dispersionless within a limited frequency range given the negligible variations of their constitutive parameters across that range.

3 3 Here, the tildes are used to differentiate the time-domain susceptibilities from their frequency-domain counterparts.

4 4 The local field is defined as the total field,

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