Poynting vector in negative-index metamaterials

Costa, João T.; Silveirinha, Mário G.; Alù, Andrea

doi:10.1103/physrevb.83.165120

Cited by 42 publications

(63 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is interesting to note that in the presence of loss the contribution of the qT mode to the radiation field does not vanish [the first addend in Eq. (25) does not vanish when p e = p ef ], which is fully consistent with the microscopic theory, because in the case of loss the electric field associated with the qT mode has a small longitudinal component along the z direction.…”

Section: Perfectly Electric Conducting Wiressupporting

confidence: 76%

“…Indeed, in general the usual form of the Poynting vector, S = E × H, does not hold in the case of spatially dispersive materials. 24,25 Moreover, there is no known theory to determine the Poynting vector in a general spatially dispersive material, and the only case that is actually understood, and for which closed analytical formulas are available, is when the electromagnetic fields have a spatial variation of the form e −j k·r (plane waves). 24 In this work, we derive closed analytical formulas that enable calculating explicitly the Poynting vector and the electromagnetic energy density in uniaxial wire media for arbitrary electromagnetic field distributions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Radiation from elementary sources in a uniaxial wire medium

Silveirinha

Maslovski

2012

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

We investigate the radiation properties of two types of elementary sources embedded in a uniaxial wire medium: a short dipole parallel to the wires and a lumped voltage source connected across a gap in a generic metallic wire. It is demonstrated that the radiation pattern of these elementary sources have quite anomalous and unusual properties. Specifically, the radiation pattern of a short vertical dipole resembles that of an isotropic radiator close to the effective plasma frequency of the wire medium, whereas the radiation from the lumped voltage generator is characterized by an infinite directivity and a non-diffractive far-field distribution.Comment: 10 pages, 4 figure

show abstract

Section: Perfectly Electric Conducting Wiressupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Radiation from elementary sources in a uniaxial wire medium

Silveirinha

Maslovski

2012

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

show abstract

“…Indeed, the importance of the additional term appearing in (36) involving partial derivatives of the constitutive parameters with respect to the wave number to correctly calculate the macroscopic Poynting vector within the framework of an effective medium theory for either natural media or arbitrary metamaterials has been discussed in a few previous works [24,[26][27][28]. Results of numerical comparisons between S av and S h av are presented in the following section dedicated to the homogenization of sample metamaterial structures.…”

Section: E(r)mentioning

confidence: 99%

Generalized Lorentz-Lorenz homogenization formulas for binary lattice metamaterials

et al. 2015

View full text Add to dashboard Cite

Generalized Lorentz-Lorenz formulas are developed for the effective parameters of binary lattice metamaterials composed of a periodic arrangement of electric and/or magnetic inclusions. The proposed homogenization approach is based on a dual dipole approximation for the induced currents. The obtained formulas for the metamaterial effective electric and magnetic characteristics duly consider both electric and magnetic polarizabilities of the inclusions and completely describe the effects of frequency and spatial dispersion. Several numerical examples are provided to demonstrate the general applicability of the proposed formulas to different types of binary lattices and inclusions. It is shown that the proposed effective parameters have the capability of providing a physically sound and accurate description of wave propagation in the metamaterials in an extended range of frequencies in contrast to the equivalent parameters that can be defined in the absence of impressed sources and assuming a local anisotropic constitutive model, which hides inherent spatial dispersion effects and nonphysical features. To gain further insight into the metamaterial response and the physical meaningfulness of calculated effective parameters, the power flow of metamaterial supported modes is analyzed and its homogenized representation is compared to the complete description. A correspondence between the power flow due to the microscopic field and the effect of spatial dispersion in the homogenized parameters is established.

show abstract

“…The left-hand side of equation (18) is the stored energy density associated with a natural mode with time dependence e Àixt [39,40,41]. The frequencies x n are the real-valued eigenfrequencies of the natural modes.…”

Section: Overview Of the Eigenfunction Expansion Formalismmentioning

confidence: 99%

Super-collimation of the radiation by a point source in a uniaxial wire medium

Morgado

Silveirinha

2015

EPJ Applied Metamaterials

Self Cite

View full text Add to dashboard Cite

-We investigate the radiation properties of a short horizontal dipole embedded in a uniaxial wire medium. It is shown that the uniaxial wire medium enables a super-collimation of the dipole radiation such that the radiation pattern has a singularity and the radiated fields are non-diffractive in the broadside direction. We derive a closed analytical formula for the power radiated by the dipole in the wire medium. Our theory demonstrates that as a consequence of the ultrahigh density of photonic states of the nanowire array, the power radiated by the dipole is strongly enhanced as compared to the power that would be emitted in the dielectric host with no nanowires.

show abstract

Poynting vector in negative-index metamaterials

Cited by 42 publications

References 17 publications

Radiation from elementary sources in a uniaxial wire medium

Radiation from elementary sources in a uniaxial wire medium

Generalized Lorentz-Lorenz homogenization formulas for binary lattice metamaterials

Super-collimation of the radiation by a point source in a uniaxial wire medium

Contact Info

Product

Resources

About