Generalized effective-medium theory for metamaterials

Abstract

We present an effective-medium model for calculating the frequency-dependent effective permittivity $\epsilon (\omega )$ and permeability $\mu (\omega )$ of metamaterial composites containing spherical particles with arbitrary permittivity and permeability. The model is derived from the zero-scattering condition within the dipole approximation, but does not invoke any additional long-wavelength approximations. As a result, it captures the effects of spatial dispersion and predicts a finite effective refractive index and antiresonances in $\epsilon (\omega )$ and $\mu (\omega )$, in agreement with numerical finite-element calculations.

5 pages, 5 figures

References in corpus (6)

• Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
• Past Achievements and Future Challenges in 3D Photonic Metamaterials
• Strong magnetic response of submicron Silicon particles in the infrared
• Resonant and anti-resonant frequency dependence of the effective parameters of metamaterials
• First-Principle Homogenization Theory for Periodic Metamaterials
• Restoring the Physical Meaning of Metamaterial Constitutive Parameters

Cited by in corpus (12)

• Nonlocal homogenization of PT-symmetric multilayered structures
• The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media
• Magnetic illusion: transforming a magnetic object into another object by negative permeability
• A Freeform Dielectric Metasurface Modeling Approach Based on Deep Neural Networks
• Negative refractive index induced by percolation in disordered metamaterials
• A Novel Modeling Approach for All-Dielectric Metasurfaces Using Deep Neural Networks
• Electromagnetic stress tensor for amorphous metamaterial medium
• Closed-form expressions for effective constitutive parameters and electro/magneto-strictive tensors for bi-anisotropic metamaterials and their use in optical force density calculations
• Spectral domain inverse design for accelerating nanocomposite metamaterials discovery
• An effective medium theory for predicting the existence of surface states
• Clausius-Mossotti Relation Revisited: Media with Electric and Magnetic Response
• Nonperturbative solution to the integral equation of scattering theory