Effective Medium Theory Principles And Applications Pdf
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Effective medium approximations
Effective medium approximations EMA or effective medium theory EMT pertain to analytical or theoretical modeling that describes the macroscopic properties of composite materials. EMAs or EMTs are developed from averaging the multiple values of the constituents that directly make up the composite material. At the constituent level, the values of the materials vary and are inhomogeneous. Precise calculation of the many constituent values is nearly impossible. However, theories have been developed that can produce acceptable approximations which in turn describe useful parameters including the effective permittivity and permeability of the materials as a whole. In this sense, effective medium approximations are descriptions of a medium composite material based on the properties and the relative fractions of its components and are derived from calculations,   and effective medium theory.
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Effective medium theory arises in condensed matter physics when a field in a material medium is to be considered. The subject has been developed considerably and while the results are useful for predicting materials performance, the theory can alsoMoreEffective medium theory arises in condensed matter physics when a field in a material medium is to be considered. The subject has been developed considerably and while the results are useful for predicting materials performance, the theory can also be used in a wide range of problems in physics and engineering. This book develops the topic of effective medium theory by bringing together the essentials of both the static and the dynamical theory. Electromagnetic systems are thoroughly dealt with, as well as related areas such as the CPA theory of alloys, liquids, the density functional theory and others, and the unifying aspects of the effective medium concept are emphasized.
Effective Medium Theory
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The resonant wave modes in monomodal and multimodal planar Surface Plasmon Resonance SPR sensors and their response to a bidimensional array of gold nanoparticles AuNPs are analyzed both theoretically and experimentally, to investigate the parameters that rule the correct nanoparticle counting in the emerging metal nanoparticle-amplified surface plasmon resonance PA-SPR spectroscopy. The deviation increases directly with the manifestations of non-negligible scattering cross-section of the single nanoparticle, dipole-dipole interactions between adjacent AuNPs and dipolar interactions with the metal substrate. Near field simulations show clearly the set-up of dipolar interactions when the dielectric thickness is smaller than 10 nm and confirm that the anomalous dispersion usually observed experimentally is due to the failure of the effective medium theories. Surface plasmon resonance SPR spectroscopy, is today one of the principal optical techniques used for the development of low cost and high resolution chemical and bio-chemical optical sensors [ 1 ]. The detection principle of SPR sensors is based on the perturbation of the near electromagnetic field at the metal-dielectric interface of the sensing platform, provoked by the interaction of the external surface with the analytes of interest [ 2 ]. The latter value is associated to bulk refractive changes of the external medium.