Research Article

Green Function Formulism for Electromagnetic Wave Generated in Nanostructured Metamaterial of Finite Thickness: Isotropy and Anisotropy

Figure 2

Schematic illustration of eigenmode expansion in three regions: 𝐵 𝑠 , and 𝐵 𝑝 , denote the eigen-plane-wave modes in region I, and the minus sign is to denote the direction of propagating is along 𝑧 − direction; 𝐵 1 , 𝑔 , ± in region II denotes the first eigenmode generated from the source plane, 𝐵 2 , 𝑔 , ± is to denote the second eigenmode generated from the source plane, 𝐵 1 , 𝑏 , ± in region II expresses the first eigenmode bouncing back at the upper and lower boundaries, and 𝐵 2 , 𝑏 , ± gives the second eigenmode bouncing back at the upper and lower boundaries (the plus and minus signs denotes the propagating along 𝑧 + and 𝑧 − directions); 𝐵 𝑠 , + and 𝐵 𝑝 , + denote the eigen-plane wave modes in region III, and the minus sign is to denote the direction of propagating is along 𝑧 + direction.
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