# Light Propagation through Nanophotonics Wormholes

## Abstract

**:**

## 1. Introduction

## 2. Traversable Wormhole Spacetimes

## 3. Embedding Wormhole Surfaces

## 4. Surfaces of Revolution in the Laboratory

## 5. Wave Equations

## 6. Results

## 7. Conclusions

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**(

**a**) Flamm paraboloid corresponding to Schwarzschild black-hole metric. (

**b**) Embedding surface of Ellis traversable-wormhole metric. Schwarzschild radius in (

**a**) is equal to wormhole’s throat radius in (

**b**) ${b}_{0}=30$ $\mathsf{\mu}$m. Notice the similarity between both figures. (

**b**) does not seem to entail additional experimental challenges.

**Figure 2.**Group velocity ${v}_{g}/c$ vs the spatial coordinate z for ${b}_{0}=30$ $\mathsf{\mu}$m, ${k}_{0}=2\pi /\lambda $, $\lambda =780\mathrm{nm}$, ${n}_{0}=1.5$, $q=5.9\xb7{10}^{6}$ m${}^{-1}$ and the values of ${k}_{x}$ indicated. The group velocity can significantly decrease near the wormhole throat at $z=0$.

**Figure 3.**Phase velocity ${v}_{p}h/c$ vs the spatial coordinate z for ${b}_{0}=30$ $\mathsf{\mu}$m, ${k}_{0}=2\pi /\lambda $, $\lambda =780\mathrm{nm}$, ${n}_{0}=1.5$, $q=5.9\xb7{10}^{6}$ m${}^{-1}$ and the values of ${k}_{x}$ indicated. The phase velocity increases and can become superluminal near the throat.

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**MDPI and ACS Style**

Sabín, C.
Light Propagation through Nanophotonics Wormholes. *Universe* **2018**, *4*, 137.
https://doi.org/10.3390/universe4120137

**AMA Style**

Sabín C.
Light Propagation through Nanophotonics Wormholes. *Universe*. 2018; 4(12):137.
https://doi.org/10.3390/universe4120137

**Chicago/Turabian Style**

Sabín, Carlos.
2018. "Light Propagation through Nanophotonics Wormholes" *Universe* 4, no. 12: 137.
https://doi.org/10.3390/universe4120137