The enhancement of evanescent waves in multilayer planar waveguides with a uniaxially anisotropic metamaterials layer
is investigated. Without loss of generality, we assume that the anisotropic metamaterials have an arbitrary angle between
the optical axis and the interface, and then we derive the characteristic equations and the analytical expression of energy
flux of this waveguides. It is found that the enhancement factor increases rapidly at first with increasing of the thickness
of the metamaterials in the case when the optical axis is parallel to or normal to the interface, namely the angle is equal
to 0 or π/2. The enhancement factor eventually reaches its maximum when complete surface polaritons are established at
the boundary between the metamaterials and the cladding [D.-K. Qing, G. Chen, Appl. Phy. Lett. 84(5), 669-671 (2004).].
Numerical results confirm our theoretical analysis.
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