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Illusion optics: The optical transformation of an object into another object

Yun Lai, Jack Ng, HuanYang Chen, DeZhuan Han, JunJun Xiao, Zhao- Qing Zhang, C. T. Chan

arXiv:0905.1484v1physics.optics

TL;DR

The paper asks whether transformation optics can make an arbitrary object appear as a chosen other object under arbitrary illumination. It proves an illusion device based on complementary and restoring media, showing that the object’s exterior scattering can match the chosen illusion independently of incident-wave angle and profile.

  • Problem

    The research question is whether transformation optics can make an arbitrary object appear as a chosen other object under arbitrary illumination.

  • Method

    The paper proves a three-dimensional illusion device using transformation-optics-designed complementary and restoring media associated with the transformed object.

  • Results

    The object is disguised into the illusion, with the optical effect independent of incident angle and wave profile and the exterior pattern exactly matching the target scattering pattern.

  • Takeaways & Limitations

    Illusion optics can reproduce one object’s external scattering as that of another under arbitrary illumination, extending cloaking to object transformation.

  • Takeaways & Limitations

    The proof is limited to three-dimensional geometries.

Abstract

from arXiv · show

We propose to use transformation optics to generate a general illusion such that an arbitrary object appears to be like some other object of our choice. This is achieved by using a remote device that transforms the scattered light outside a virtual boundary into that of the object chosen for the illusion, regardless of the profile of the incident wave. This type of illusion device also enables people to see through walls. Our work extends the concept of cloaking as a special form of illusion to the wider realm of illusion optics.

another object”

This section identifies the paper’s authors and their affiliation with The Hong Kong University of Science and Technology in Hong Kong, China.

  • another object”: The paper lists Yun Lai, Jack Ng, Huanyang Chen, DeZhuan Han, JunJun Xiao, and Zhao-Qing Zhang as authors.Yun Lai and Jack Ng are marked with asterisks, while Zhao-Qing Zhang carries a dagger symbol.
  • another object”: The authors are affiliated with The Hong Kong University of Science and Technology.
  • another object”: The affiliation is located in Clear Water Bay, Kowloon, Hong Kong, China.

Part A: A rigorous proof of the illusion optics in 3D by transformation optics

The section proves in three dimensions that transformation-optics complementary and restoring media can make an arbitrary object appear as a chosen illusion under arbitrary illumination. Matching fields across the closed virtual boundary establishes identical exterior fields in real and illusion spaces.

  • Construction: Complementary and restoring media transform an object into a chosen illusion, including when both are anisotropic.The complementary medium is designed by folding the object-containing region, while the restoring medium compresses the illusion region.
  • Field matching: Under arbitrary light illumination, the fields outside surfaces c and d are identical in real and illusion spaces.The proof establishes matching tangential fields on both surfaces, which together form a closed boundary.
  • Conclusion: The uniqueness theorem converts equal boundary fields on the closed surfaces c and d into equal exterior fields, disguising the object as the illusion.Because observers outside the virtual boundary encounter the same fields, the real-space configuration reproduces the illusion-space appearance.
  • Generalization: The three-dimensional proof generalizes readily to two dimensions and to devices whose boundary does not share part of the virtual boundary.In the latter topology, the restoring medium is completely surrounded by the complementary medium.

Part B: Numerical demonstration of the illusion optics by using the system in Fig. 2(b)

Numerical simulations demonstrate that the illusion-optics effect is independent of both the incident angle and the profile of the incident waves. The device is tested with a TE plane wave and TE point sources at different positions.

  • Numerical demonstration: A TE plane wave with wavelength 0.25 unit is incident from below in one numerical demonstration.The plane-wave case provides one test of the device under a specified incident-wave geometry.
  • Numerical demonstration: The simulated illusion-optics effect is independent of the incident angle and the profile of the incident waves.These results establish that the device functionality does not depend on the form of the incident waves.

Part C: Description of the illusion device demonstrated in Fig. 3(b), and a numerical

The demonstrated illusion device uses complementary and restoring media to cancel a wall or shell and recreate the scattering of a chosen object or free space. A numerical example shows that it reveals an object hidden inside a metallic container, without requiring broad bandwidth.

  • Device composition: The device comprises four parts: a wall-contacting complementary medium, upper and lower triangular restoring parts, and a middle rectangular restoring part.The complementary medium cancels the wall, while the restoring medium reconstructs the desired optical space.
  • Restoring medium: The restoring medium creates a piece of free space without containing a compressed version of the illusion object.The upper and lower triangular parts and the middle rectangular part use distinct coordinate transformations and material parameters to implement restoration.
  • Bandwidth requirement: The super-vision illusion device does not require broad bandwidth and can therefore be constructed from resonant metamaterials designed at a single selected frequency.This makes the implementation compatible with single-frequency resonant designs.
  • Numerical demonstration: In the numerical demonstration, an object with ε = 5 hidden inside a circular metallic shell with ε = −1 is invisible to an incident TE plane wave.The shell is optically cancelled by an inner complementary layer, while an outer restoring layer recreates free space.
  • Numerical demonstration: The scattering pattern outside the device is changed into exactly the same pattern as the hidden object’s scattering pattern.The result is shown in the numerical demonstration’s panel (c).
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