Award Abstract #0707978
Mathematics of Metamaterials

NSF Org:	DMS Division of Mathematical Sciences
Initial Amendment Date:	August 3, 2007
Latest Amendment Date:	August 3, 2007
Award Number:	0707978
Award Instrument:	Continuing grant
Program Manager:	Michael H. Steuerwalt DMS Division of Mathematical Sciences MPS Directorate for Mathematical & Physical Sciences
Start Date:	August 15, 2007
Expires:	July 31, 2010 (Estimated)
Awarded Amount to Date:	$430510
Investigator(s):	Graeme Milton milton@math.utah.edu (Principal Investigator)
Sponsor:	University of Utah 75 S 2000 E SALT LAKE CITY, UT 84112 801/581-6903
NSF Program(s):	MSPA-INTERDISCIPLINARY, APPLIED MATHEMATICS
Field Application(s):	0000099 Other Applications NEC
Program Reference Code(s):	AMPP,9161,7454
Program Element Code(s):	7454,1266

ABSTRACT

Milton

0707978

Superlenses achieve resolution finer than convential lenses,

and have some startling properties, such as making polarizable

dipoles essentially invisible if they lie within a critical

distance of the lens. This project improves our understanding of

superlenses and invisibility, particularly for spherical

superlenses, which not only superresolve but also magnify. It

also seeks to characterize exotic electromagnetic behaviors that

composite materials formed from constituent materials with

extreme properties can exhibit in the quasistatic limit, where

the wavelength of the time-harmonic radiation is much larger than

the microstructure. The investigator also studies a new class of

material named "massnetic materials." These have in their

microstructure collections of spinning tops, each situated in a

cavity in the body, and each weighted on one side by a mass that

allows one to increase or decrease the spin of each top by

appropriately oscillating the body. These materials should be

able to store and release energy on the microscale. The

investigator also explores new equations of elastodynamics, and

studies novel microstructures with the unusual property that

their average momentum depends not just on their overall

velocity, but also on how they are deformed, i.e. on their

strain.

Metamaterials, i.e. composite materials with properties

unachievable in ordinary materials, have attracted a great deal

of interest and are beginning to revolutionize our understanding

of materials and the properties they can exhibit. More

technogical applications of these materials are now possible due

to advances in our ability to tailor the microstructure of

substances, for instance through nanotechnology. This project

studies how composites can be constructed from high contrast

materials to exhibit elastic and electromagnetic properties far

richer than existing materials. In the defence, automotive,

aerospace, electronics, and other manufacturing and

telecommunication industries there is a constant need for new

materials. The impact of such new materials is likely to be

greatest when their properties are radically different from any

material we know. The project could lead to the development of

whole classes of radically different new materials with novel

properties. Also it should give a much needed firm theoretical

foundation to Pendry's work on spherical superlenses, and enhance

our understanding of invisibility.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

(Showing: 1 - 4 of 4).

Cai, W; Chettiar, U.K.; Kildishev, A.V.; Shalaev, V.M.; Milton, G.W..  "Non-magnetic cloak without reflection,"  Applied Physics Letters,  v.91,  2007,  p. 111105.

Milton, G.W..  "New metamaterials with macroscopic behavior outside that of continuum elastodynamics,"  New Journal of Physics,  v.9,  2007,  p. 359.

Milton, G.W.; Seppecher, P.  "Realizable response matrices of multi-terminal electrical, acoustic and elastodynamic networks at a given frequency,"  Proceedings Royal Society A,  v.464,  2008,  p. 967.

Nicorovici, N.A.; Milton, G.W.; McPhedran, R.C.; Botten, L.C..  "Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance,"  Optics Express,  v.15,  2007,  p. 6314.


(Showing: 1 - 4 of 4).

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