2010
DOI: 10.1364/oe.18.022119
|View full text |Cite
|
Sign up to set email alerts
|

Efficient homogenization procedure for the calculation of optical properties of 3D nanostructured composites

Abstract: We present a very efficient recursive method to calculate the effective optical response of metamaterials made up of arbitrarily shaped inclusions arranged in periodic 3D arrays. We apply it to dielectric particles embedded in a metal matrix with a lattice constant much smaller than the wavelength of the incident field, so that we may neglect retardation and factor the geometrical properties from the properties of the materials. If the conducting phase is continuous the low frequency behavior is metallic, and … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

3
49
0
8

Year Published

2016
2016
2024
2024

Publication Types

Select...
6

Relationship

2
4

Authors

Journals

citations
Cited by 26 publications
(60 citation statements)
references
References 35 publications
3
49
0
8
Order By: Relevance
“…The analogy of the macroscopic wave operator with the Green's function allow us to apply the well‐known Haydock method to recursively generate an orthonormal basis in which our operator Btrueˆgtrueˆ can be expressed as a tridiagonal matrix . Choosing an initial state |0⟩ normalized under the metric gtrueˆ and corresponding to a plane wave with wavevector k and polarization e , one can generate new states by recursively acting with our “Hamiltonian.” Given the states |0⟩, |1⟩, |2⟩…| n ⟩, we generate the state | n + 1⟩ from centertrue|truen+1˜=truescriptBˆtruegˆtrue|ncenter=bn+1true|n+1+antrue|n+bngngn1true|n1, where the Haydock coefficients a n and b n are chosen to satisfy true(ntrue|mtrue)=n|gtrueˆ|m=gnδnm. …”
Section: Non‐local Macroscopic Response Of Metamaterialsmentioning
confidence: 99%
See 1 more Smart Citation
“…The analogy of the macroscopic wave operator with the Green's function allow us to apply the well‐known Haydock method to recursively generate an orthonormal basis in which our operator Btrueˆgtrueˆ can be expressed as a tridiagonal matrix . Choosing an initial state |0⟩ normalized under the metric gtrueˆ and corresponding to a plane wave with wavevector k and polarization e , one can generate new states by recursively acting with our “Hamiltonian.” Given the states |0⟩, |1⟩, |2⟩…| n ⟩, we generate the state | n + 1⟩ from centertrue|truen+1˜=truescriptBˆtruegˆtrue|ncenter=bn+1true|n+1+antrue|n+bngngn1true|n1, where the Haydock coefficients a n and b n are chosen to satisfy true(ntrue|mtrue)=n|gtrueˆ|m=gnδnm. …”
Section: Non‐local Macroscopic Response Of Metamaterialsmentioning
confidence: 99%
“…Bb g can be expressed as a tridiagonal matrix. [30,34,[38][39][40] Choosing an initial state |0i normalized under the metric b g and corresponding to a plane wave with wavevector k and polarization e, one can generate new states by recursively acting with our "Hamiltonian." Given the states |0i, |1i, |2i.…”
Section: Non-local Macroscopic Response Of Metamaterialsmentioning
confidence: 99%
“…where we identified the longitudinal projector  L from equation (20) and the macroscopic dielectric function from equation (18). We invert both sides to obtain…”
Section: Theorymentioning
confidence: 99%
“…with a moderate damping characterized by the mean collision frequency γ=0.01ω p . We calculate ò M and  M for these systems employing an efficient procedure [19,20,[25][26][27]] based on HRM [28] and implemented in the Photonic computational package [29].…”
Section: Periodic Systemmentioning
confidence: 99%
See 1 more Smart Citation