On modifications of Newton's second law and linear continuum elastodynamics

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General relativity with spin and torsion: Foundations and prospects

Friedrich Hehl, Paul von der Heyde, G. David Kerlick … (1976)

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Negative refraction makes a perfect lens

Elizabeth Pendry, K Pendry (2001)

With a conventional lens sharpness of the image is always limited by the wavelength of light. An unconventional alternative to a lens, a slab of negative refractive index material, has the power to focus all Fourier components of a 2D image, even those that do not propagate in a radiative manner. Such "superlenses" can be realized in the microwave band with current technology. Our simulations show that a version of the lens operating at the frequency of visible light can be realized in the form of a thin slab of silver. This optical version resolves objects only a few nanometers across.

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Ultrasonic metamaterials with negative modulus.

Nicholas Fang, Dongjuan Xi, Jianyi Xu … (2006)

The emergence of artificially designed subwavelength electromagnetic materials, denoted metamaterials, has significantly broadened the range of material responses found in nature. However, the acoustic analogue to electromagnetic metamaterials has, so far, not been investigated. We report a new class of ultrasonic metamaterials consisting of an array of subwavelength Helmholtz resonators with designed acoustic inductance and capacitance. These materials have an effective dynamic modulus with negative values near the resonance frequency. As a result, these ultrasonic metamaterials can convey acoustic waves with a group velocity antiparallel to phase velocity, as observed experimentally. On the basis of homogenized-media theory, we calculated the dispersion and transmission, which agrees well with experiments near 30 kHz. As the negative dynamic modulus leads to a richness of surface states with very large wavevectors, this new class of acoustic metamaterials may offer interesting applications, such as acoustic negative refraction and superlensing below the diffraction limit.

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Journal

Journal ID (publisher-id): RSPA

Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Abbreviated Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Publisher: The Royal Society

ISSN (Print): 1364-5021

ISSN (Electronic): 1471-2946

Publication date Created: March 8 2007

Publication date (Print): March 8 2007

Volume: 463

Issue: 2079

Pages: 855-880

Article

DOI: 10.1098/rspa.2006.1795

SO-VID: 7f5285c7-3752-4d4b-b752-e15cc097e700

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On modifications of Newton's second law and linear continuum elastodynamics

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Abstract

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Most cited references 20

General relativity with spin and torsion: Foundations and prospects

Negative refraction makes a perfect lens

Ultrasonic metamaterials with negative modulus.

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Cited by 101

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