Absorption spectrum of clusters of spheres from the general solution of Maxwell's equations. II. Optical properties of aggregated metal spheres

1982 ◽  
Vol 25 (6) ◽  
pp. 4204-4229 ◽  
Author(s):  
J. M. Gérardy ◽  
M. Ausloos
Keyword(s):  
Optical Properties ◽  
Absorption Spectrum ◽  
General Solution ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Clusters Of Spheres

Optical Properties of Nanocomposite Thin-Films

2006 ◽  
Author(s):  
Anna Garahan ◽  
Laurent Pilon ◽  
Juan Yin ◽  
Indu Saxena
Keyword(s):  
Thin Films ◽  
Optical Properties ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Volume Fraction ◽  
Effective Index ◽  
Absorption Index ◽  
Index Of Refraction ◽  
Nanocomposite Thin Films ◽  
Effective Index Of Refraction

This paper aims at developing numerically validated models for predicting the through-plane effective index of refraction and absorption index of nanocomposite thin-films. First, models for the effective optical properties are derived from previously reported analysis applying the volume averaging theory (VAT) to the Maxwell's equations. The transmittance and reflectance of nanoporous thin-films are computed by solving the Maxwell's equations and the associated boundary conditions at all interfaces using finite element methods. The effective optical properties of the films are retrieved by minimizing the root mean square of the relative errors between the computed and theoretical transmittance and reflectance. Nanoporous thin-films made of SiO2 and TiO2 consisting of cylindrical nanopores and nanowires are investigated for different diameters and various porosities. Similarly, electromagnetic wave transport through dielectric medium with embedded metallic nanowires are simulated. Numerical results are compared with predictions from widely used effective property models including (1) Maxwell-Garnett Theory, (2) Bruggeman effective medium approximation, (3) parallel, (4) series, (5) Lorentz-Lorenz, and (6) VAT models. Very good agreement is found with the VAT model for both the effective index of refraction and absorption index. Finally, the effect of volume fraction on the effective complex index of refraction predicted by the VAT model is discussed. For certain values of wavelengths and volume fractions, the effective index of refraction or absorption index of the composite material can be smaller than that of both the continuous and dispersed phases. These results indicate guidelines for designing nanocomposite optical materials.

General solution of Maxwell's equations for an azimuthally magnetized ferrite medium

1975 ◽  
Vol 18 (4) ◽  
pp. 528-529
Author(s):  
V. A. Meshcheryakov ◽  
A. E. Mudrov ◽  
G. A. Red'kin
Keyword(s):  
General Solution ◽  
Maxwell’S Equations ◽  
Maxwell's Equations

Modelling Optical Properties of Algae Using the Finite-Difference Time Domain Method

2021 ◽  
Author(s):  
Zahra Samadi ◽  
Eric Johlin ◽  
Christopher DeGroot ◽  
Hassan Peerhossaini
Keyword(s):  
Optical Properties ◽  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Mie Theory ◽  
Operating Conditions ◽  
Theoretical Methods ◽  
Difference Time

Abstract Photosynthetic microorganisms are important to the Earth’s ecosystem, since about half of the atmospheric oxygen is produced by photosynthesis. Microalgae and photosynthetic bacteria are also utilized in a wide range of industries in photobioreactors. In order to have better control over photobioreactors under various operating conditions, it is necessary to accurately characterize the propagation of light in the reactor. Theoretical methods are able to calculate the optical properties of microorganisms through the solution of Maxwell’s equations of electromagnetic wave theory. To solve Maxwell’s equations, various methods can be used including Lorenz-Mie, T-Matrix, Finite-Difference Time-Domain (FDTD), and Volume Integral methods. Most theoretical methods predict the optical properties of microorganisms by Lorenz-Mie theory. Lorenz–Mie theory is applicable for homogeneous and spherical particles, homogeneous concentric spheres, or coated spheres. This work seeks to determine the suitability of the commonly used homogenous-sphere, coated-sphere, and heterogenous-sphere approximation by simulating the optical behavior of photosynthetic microorganism (Chlamydomonas reinhardtii) using FDTD and an accurate geometric model. Here, each of the key cell organelles will be included in the model with the appropriate optical properties specified. These results allow for a more accurate optical model to be developed while studying the effects of different growth regimes.

Errata - The general solution of the time-dependent Maxwell's equations in an infinite medium with constant conductivity

1995 ◽  
Vol 450 (1940) ◽  
pp. 731-731
Keyword(s):  
General Solution ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Infinite Medium ◽  
Time Dependent ◽  
Right Hand ◽  
The Right

Proc. R. Soc. Lond . A 431, 493-507 (1990) The general solution of the time-dependent Maxwell’s equations in an infinite medium with constant conductivity By H. E. Moses and R. T. Prosser In the right-hand side of equation (1.7 c ) on p. 495 the factor 1/4π should be replaced by 1/4π r A factor λ should be inserted on the top line of equation (5.3) on p. 500 in front of √(μ/ϵ)sin Pct / P .

Effective Optical Properties of Nanoporous Silicon

2005 ◽  
Author(s):  
Matt Braun ◽  
Laurent Pilon
Keyword(s):  
Optical Properties ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Volume Averaging ◽  
Incident Radiation ◽  
Absorption Index ◽  
Numerical Results ◽  
Index Of Refraction ◽  
Solid Matrix ◽  
Nanoporous Silicon

Nanoporous materials consist of nanosize voids embedded in a solid matrix. The pores can be closed or open and have various shapes and sizes. Their applications range from optical and optoelectronics devices to biosensors. In order to effectively utilize and characterize nanoporous media for these various applications, models that describe their effective optical properties are necessary. Numerous effective medium models have been proposed. However, validations of these models against experimental data are often contradictory and inconclusive. This issue was numerically investigated by solving the two-dimensional Maxwell’s equations in absorbing nanoporous silicon thin-films. All interfaces are assumed to be optically smooth and characteristic pore size is much smaller than the wavelength of incident radiation so electromagnetic wave scattering by pores can be safely neglected. The envelope method was then used to retrieve the effective index of refraction and absorption index from the computed transmittance. The numerical results agree very well for both the index of refraction and the absorption index with a recent model obtained by applying the Volume Averaging Theory (VAT) to the Maxwell’s equations. However, commonly used models such as the Maxwell-Garnett, Bruggeman, parallel, and series models systematically and sometimes significantly underpredict the numerical results.

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