Physical bounds on the all-spectrum transmission through periodic arrays

Gustafsson, Mats; Sohl, Christian; Larsson, Christer; Sjöberg, Daniel

doi:10.1209/0295-5075/87/34002

Cited by 28 publications

(47 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Another application of our results is related to [23,24], where it is shown that the transmission through a low-pass slab of thickness d must satisfy (where the plane of incidence coincides with the xz-plane)…”

Section: Applicationsmentioning

confidence: 83%

See 1 more Smart Citation

Low-Frequency Scattering Analysis and Homogenisation of Split-Ring Elements

Stén¹,

Sjöberg²

2011

PIER B

View full text Add to dashboard Cite

Abstract-A key structure in so-called metamaterial mediums is the elementary split-ring resonator. We consider in this paper the lowfrequency electromagnetic scattering by a split-ring particle modelled as a perfectly conducting wire ring, furnished with a narrow gap, and derive analytical solutions for the electric and magnetic dipole moments for different kinds of incidence and polarisation in the quasistatic approximation. Through a vectorial homogenisation process, the expressions discovered for the dipole moments and the related polarisability dyadics are linked with the macroscopic constitutive equations for the medium. We further show that the condition for resonance of a medium consisting of simple split-rings cannot be achieved by means of the given quasi-static terms without violating the underlying assumptions of homogenisation. Nevertheless, the results are applicable for sparse medium of rings, and we derive numerical guidelines for the applicability with some examples of the effect of the considered split-ring medium on electromagnetic wave propagation.

show abstract

Section: Applicationsmentioning

confidence: 83%

“…Expressions were given for the wave parameters in the principal propagation directions, and the polarisabilities were used together with the results from [23,24] to give an upper bound on the product of bandwidth and transmission level for a slab of split-ring material used as a band-stop filter.…”

Section: Discussionmentioning

confidence: 99%

Low-Frequency Scattering Analysis and Homogenisation of Split-Ring Elements

Stén¹,

Sjöberg²

2011

PIER B

View full text Add to dashboard Cite

show abstract

“…Measurements were performed on the same sheet of printed metal split ring resonators on a thin FR4 substrate as in [11]. The unit cell geometry is depicted in Fig.…”

Section: 2mentioning

confidence: 99%

“…In [11], the transverse polarizabilities of the sheet were computed to γ exx /A = 7.2 mm and γ eyy /A = 7.1 mm. The longitudinal polarizability can be estimated by The measured and simulated transmission coecients were then used to calculate the integral in the left hand side of (3.9), and the result is depicted in Fig.…”

Section: 2mentioning

confidence: 99%

“…For normal incidence, it was shown in [11] that the blockage in transmission for a given nonmagnetic screen, integrated over all wavelengths, has an upper bound determined by the electric polarizability per unit area of the screen. In this paper, we generalize this result to include oblique incidence and magnetic materials, and investigate the dependence on polarization and angle of incidence for the incident wave.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Sjöberg¹,

Gustafsson²,

Larsson³

2010

EPL

Self Cite

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

Coherent scattering by a collection of randomly located obstacles – An alternative integral equation formulation

Kristensson

2015

Journal of Quantitative Spectroscopy and Radiative Transfer

View full text Add to dashboard Cite

Physical bounds on the all-spectrum transmission through periodic arrays

Cited by 28 publications

References 20 publications

Low-Frequency Scattering Analysis and Homogenisation of Split-Ring Elements

Low-Frequency Scattering Analysis and Homogenisation of Split-Ring Elements

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

Coherent scattering by a collection of randomly located obstacles – An alternative integral equation formulation

Contact Info

Product

Resources

About