Sum rules and physical bounds on passive metamaterials

Gustafsson, Mats; Sjöberg, Daniel

doi:10.1088/1367-2630/12/4/043046

Cited by 54 publications

(100 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With a "normal" surrounding medium having a permittivity function with { } > 0, this requires a permittivity function for the interior region with a negative real part { 1 } < 0, a material property that sometimes is associated with a metamaterial and which may have severe limitations on the bandwidth capabilities, cf., [22].…”

Section: Narrowband Realizability Of the Conjugate Match: Tuning Thementioning

confidence: 99%

On the physical limitations for radio frequency absorption in gold nanoparticle suspensions

Nordebo

Dalarsson

Ivanenko

et al. 2017

J. Phys. D: Appl. Phys.

Self Cite

View full text Add to dashboard Cite

Abstract. This paper presents a study on the physical limitations for radio frequency absorption in gold nanoparticle suspensions. A canonical spherical geometry is considered consisting of a spherical suspension of colloidal gold nanoparticles characterized as an arbitrary passive dielectric material which is immersed in an arbitrary lossy medium. A relative heating coefficient and a corresponding optimal near field excitation are defined taking the skin effect of the surrounding medium into account. For small particle suspensions the optimal excitation is an electric dipole field for which explicit asymptotic expressions are readily obtained. It is then proven that the optimal permittivity function yielding a maximal absorption inside the spherical suspension is a conjugate match with respect to the surrounding lossy material. For a surrounding medium consisting of a weak electrolyte solution the optimal conjugate match can then readily be realized at a single frequency, e.g., by tuning the parameters of a Drude model corresponding to the electrophoretic particle acceleration mechanism. As such, the conjugate match can also be regarded to yield an optimal plasmonic resonance. Finally, a convex optimization approach is used to investigate the realizability of a passive material to approximate the desired conjugate match over a finite bandwidth. The relation of the proposed approach to general Mie theory as well as to the approximation of metamaterials are discussed. Numerical examples are included to illustrate the ultimate potential of heating in a realistic scenario in the microwave regime.

show abstract

Section: Narrowband Realizability Of the Conjugate Match: Tuning Thementioning

confidence: 99%

On the physical limitations for radio frequency absorption in gold nanoparticle suspensions

Nordebo

Dalarsson

Ivanenko

et al. 2017

J. Phys. D: Appl. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Similar physical bounds restricting the performance of passive structures have been presented in several papers treating matching methods [5], nite size scatterers [10,2628], antennas [8,9], absorbers [18], articial magnetic ground planes [4], and metamaterials [7,25,29]. A common factor for all these bounds, is that the integrated electromagnetic interaction of the scatterer, antenna, or material, is bounded by the static properties of the system.…”

Section: Introductionmentioning

confidence: 58%

Physical bounds on the all-spectrum transmission through periodic arrays: Oblique incidence

Sjöberg¹,

Gustafsson²,

Larsson³

2010

EPL

View full text Add to dashboard Cite

Physical bounds on the all-spectrum transmission through periodic arrays: oblique incidence General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal AbstractThe performance of a low-pass screen designed to block electromagnetic waves in a stop-band is shown to have an upper bound dened by the static electric and magnetic polarizability per unit area of the screen. The bound is easy to calculate for all angles of incidence and polarizations, and applies regardless of how complicated the screen's microstructure is. For a homogeneous dielectric sheet the bound for TM polarization is more restrictive than the bound for TE, but this is not generally true for a screen with microstructure. The results are veried by measurements and simulations of oblique transmission through an array of split ring resonators, printed on a dielectric substrate.

show abstract

“…It is also noted that the parameters of a Drude model can always be tuned to the conjugate match at a single frequency, but just like the metamaterials with real valued and negative permittivity [2], the conjugate match (with small imaginary part) is not realizable as a passive material over a finite bandwidth, cf., [4].…”

Section: Optimal Absorption For the Spherementioning

confidence: 99%

“…In Figure 1 is shown the absorption cross section C abs given by (2), plotted as a function of frequency and where the radius of the spherical suspension is r 1 = 1 µm. In Figure 2 is shown the relative heating coefficient F a (ε 1 ) given by (1) representing the mean power dissipation inside a small sphere relative the mean power dissipation in a close vicinity of the sphere.…”

Section: Optimal Absorption For the Spherementioning

confidence: 99%

Parameter studies on optimal absorption and electrophoretic resonances in lossy media

Nordebo

Dalarsson

Ivanenko

et al. 2017

2017 XXXIInd General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS)

View full text Add to dashboard Cite

Sum rules and physical bounds on passive metamaterials

Cited by 54 publications

References 28 publications

On the physical limitations for radio frequency absorption in gold nanoparticle suspensions

On the physical limitations for radio frequency absorption in gold nanoparticle suspensions

Physical bounds on the all-spectrum transmission through periodic arrays: Oblique incidence

Parameter studies on optimal absorption and electrophoretic resonances in lossy media

Contact Info

Product

Resources

About