Physical limitations on metamaterials: restrictions on scattering and absorption over a frequency interval
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Citations
Superbackscattering nanoparticle dimers.
The polarizability and the capacitance change of a bounded object in a parallel plate capacitor
An overview of some recent physical bounds in scattering and antenna theory
Broadband electromagnetic scattering by particles.
Variational principles for the static electric and magnetic polarizability of anisotropic media with PEC inclusions
References
Electrodynamics of continuous media
The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ
Light Scattering by Small Particles
Scattering theory of waves and particles
Metamaterials and negative refractive index.
Related Papers (5)
Frequently Asked Questions (13)
Q2. What is the right hand side of (2.5)?
Furthermore,4 the right hand side of (2.5) depends solely on the long wavelength limit or static response of V , while the left hand side is a dynamic quantity which unites the scattering and absorption properties of V .
Q3. What is the underlying mathematical description for broadband scattering?
The underlying mathematical description for broadband scattering is motivated by2 the study of causality and dispersion relations in the scattering theory of waves and particles in Refs. 7 and 8.Consider a localized and bounded scatterer V ⊂ R3 of arbitrary shape.
Q4. Why can't V be interpreted as a single scatterer?
Due to the heterogeneous character of χe and χm, V can be interpreted both as a single scatterer and as a set of multiple scatterers.
Q5. What is the extinction of the scatterer in Fig. 3?
Since the strati ed sphere in Fig. 3 has the same electric long wavelength response as the scatterer in Fig. 2 but in addition is non-magnetic, it follows from (4.4) thatthe integrated extinction of the scatterer in Fig. 3 is half the integrated extinction of the scatterer in Fig. 2, i.e., 4π3a3 or 124.0 cm3.
Q6. What is the importance of studying metamaterials over a frequency interval?
For a single frequency, metamaterials may possess exceptional characteristics, but, since bandwidth is essential, it is important to study metamaterials over a frequency interval, and with physically realistic dispersion models.
Q7. What are the physical limitations of metamaterials?
For a single frequency, metamaterials may possess extraordinary physical properties, but over any bandwidth they are with respect to scattering and absorption not di erent from materials with the eigenvalues of χe and χm non-negative.
Q8. What is the extinction cross section of (2.5)?
Since the extinction cross section σext by denition is non-negative, the left hand side of (2.5) can be estimated from below as|Λ| inf λ∈Λσ(λ) ≤ ∫Λσ(λ) dλ ≤ ∫ ∞0σext(λ) dλ, (3.2)where Λ ⊂ [0,∞) denotes an arbitrary wavelength interval with absolute bandwidth |Λ|.
Q9. What is the main reason for the broad range of material models?
This broad range of material models is a consequence of the fact that the analysis is solely based on the principles of energy conservation and causality applied to a set of linear and time-translational invariant constitutive relations.
Q10. What is the extinction cross section for a prolate spheroid?
For a prolate spheroid with semi-axis ratio ξ = 1/2, the depolarizing factors are approximately given by L1(1/2) = L2(1/2) = 0.4132 and L3(1/2) = 0.1736, see Ref. 12.
Q11. What is the dyadic amplitude of the incident wave?
Introduce E0 as the Fourier amplitude of the incident wave, and let p̂e = E0/|E0| and p̂m = k̂ × p̂e denote the associated electric and magnetic polarizations, respectively.
Q12. What is the integrated extinction of the stratied sphere?
The integrated extinction of each box is equal to 248.0 cm3 and coincides with the integrated extinction for any other curve in the gure.
Q13. What is the extinction cross section of (3.2)?
Two popular models for temporal dispersion for metamaterials are the Drude and Lorentz models, see (4.2) and Ref. 8, respectively.