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Making waves round a structured cloak: lattices, negative refraction and fringes.
D J Colquitt1, I S Jones, N V Movchan
1Department of Mathematical Sciences , University of Liverpool , Liverpool L69 3BX, UK.
Proceedings. Mathematical, Physical, and Engineering Sciences
|September 25, 2013
Summary
This study introduces a non-singular square cloak effective for acoustic, elastic, and electromagnetic waves. The cloak demonstrates stable performance across frequencies and can be approximated using lattice structures for practical applications.
Area of Science:
- Physics
- Acoustics
- Electromagnetism
- Materials Science
Background:
- Transformation optics provides a theoretical framework for manipulating wave propagation.
- Developing effective cloaking devices for various wave types remains a significant challenge.
- Non-singular cloaks offer potential advantages over traditional designs by avoiding field singularities.
Purpose of the Study:
- To analyze a non-singular square cloak for acoustic, elastic, and electromagnetic waves.
- To demonstrate the cloaking effect's efficacy and frequency independence.
- To explore approximate cloak construction using lattice structures.
Main Methods:
- Utilizing the transformation optics framework for cloak design and analysis.
- Performing numerical simulations to illustrate wave propagation and cloaking effectiveness.
- Conducting a modified Young's double-slit experiment to assess cloaking quality.
- Investigating discrete lattice structures for approximate cloak realization.
Main Results:
- The non-singular square cloak effectively hides objects from acoustic, elastic, and electromagnetic waves.
- Cloaking performance remains stable over a broad frequency range.
- A modified Young's double-slit experiment confirms the cloak's efficacy.
- Approximate cloaks can be constructed using simple lattice structures, especially at low frequencies.
Conclusions:
- The proposed non-singular square cloak is a viable solution for multi-wave cloaking.
- The method offers a robust and potentially practical approach to wave manipulation.
- Lattice-based structures present an efficient pathway for realizing approximate cloaks.
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