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Backward Tamm states in left-handed metamaterials
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) Geometry of the problem. In our calculations we take the following values: , , , , , , , and .

Image of FIG. 2.
FIG. 2.

(Color online) Dispersion properties of the Tamm states in the first and second spectral gaps. Shaded: Bands of the one-dimensional photonic crystal. Solid: Dispersion of the Tamm states with LHM. Dashed: Dispersion of the surface waves in the problem where the metamaterial is replaced by vacuum. Corresponding values of the cap layer thickness are indicated next to the curves. Inset shows a blowup region of small . Points (a), (b), and (d) correspond to the mode profiles presented in Figs. 3(a), 3(b), and 3(d).

Image of FIG. 3.
FIG. 3.

(Color online) Examples of the left-handed surface Tamm states. (a) Backward LHM mode: , , and . (b) Forward LHM mode: , , and : (c) Guided mode with a thick cap layer: , , and . (d) Surface mode in the second band gap: , , and . Modes (a), (b), and (d) correspond to the points in Fig. 2.

Image of FIG. 4.
FIG. 4.

(Color online) Total energy flow in RH (dashed) and LH (solid) Tamm modes vs . Cap layer thickness is .

Image of FIG. 5.
FIG. 5.

(Color online) Existence regions of the surface Tamm modes; the modes do not exist in the shaded regions. Dashed curves mark the corresponding regions for the right-handed Tamm states.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Backward Tamm states in left-handed metamaterials