### Abstract

The analytical study of light propagation in hyperbolic metamaterials requires, even in simplest cases, a large amount of tedious algebra. In the literature the details are, as a rule, not discussed. In this tutorial we present the geometrical framework for the analytical calculation of the angle of refraction of light in nanosphere dispersed liquid crystal hyperbolic metamaterial. The theory is illustrated with simple examples.

Original language | English (US) |
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Pages (from-to) | 309-321 |

Number of pages | 13 |

Journal | Nonlinear Optics Quantum Optics |

Volume | 46 |

Issue number | 2-4 |

State | Published - Jan 1 2015 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Electronic, Optical and Magnetic Materials
- Computer Science(all)
- Atomic and Molecular Physics, and Optics
- Instrumentation

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## Cite this

Pawlik, G., Mitus, A. C., & Khoo, I. (2015). Computation of refraction angle in nanosphere dispersed liquid crystal hyperbolic metamaterial: A tutorial.

*Nonlinear Optics Quantum Optics*,*46*(2-4), 309-321.