Goos-Hänchen effect in Kretschmann configuration with hyperbolic metamaterials

• We explore Goos-Hänchen (GH) effect in a Kretschmann configuration with hyperbolic metamaterial.
• Calculation method in anisotropic waveguides is developed based on stationary method.
• GH shift peaks are significantly influenced by the dispersion and refractive indices of materials.
• Applications in wavelength de-multiplexing and refractive index detection are discussed.
• GH effect brings new physical mechanisms for wavelength selector and biosensor.

We study the Goos-Hänchen (GH) effect in a Kretschmann configuration with hyperbolic metamaterial (HMM) of ZnGaO/ZnO multilayer. Calculation method in anisotropic waveguides is developed based on stationary method and physical mechanism of enhanced GH effect is analyzed. Simulation results show the GH shift peaks are significantly influenced by the dispersion of material and the refractive index of prism and substrate. As the GH shift in the proposed Kretschmann configuration is rather sensitive to waveguide parameters, we discuss the possible applications in wavelength de-multiplexing and tiny refractive index detection with high resolution.