Spectral and angular distribution of Rayleigh scattering from plasmon-coupled nanohole chains

2009 ◽  
Vol 94 (2) ◽  
pp. 021112 ◽  
Author(s):  
Yury Alaverdyan ◽  
Eva-Maria Hempe ◽  
A. Nick Vamivakas ◽  
Haibo E ◽  
Stefan A. Maier ◽  
...  
Keyword(s):  
Angular Distribution ◽  
Rayleigh Scattering

Angular Distribution of Intensity of Rayleigh Scattering from Comblike Branched Molecules

1968 ◽  
Vol 41 (2) ◽  
pp. 437-451
Author(s):  
Edward F. Casassa ◽  
Guy C. Berry
Keyword(s):  
Angular Distribution ◽  
Rayleigh Scattering ◽  
Large Fraction ◽  
Limited Range ◽  
Radius Of Gyration ◽  
Molecular Weights ◽  
Vinyl Polymers ◽  
Linear Chains ◽  
Angular Distribution Function ◽  
Number Of Branches

Abstract The angular distribution function P(θ) for intensity of light scattered by a dilute solution of comblike branched molecules has been determined for three situations of some interest for evaluation of experimental data: (1) the molecules are identical with branches of equal length attached equidistantly along linear backbone chains; (2) the molecules are homogeneous in mass, with the same number of branches on each molecule, but the branches are distributed at random along the chain; (3) branches and main chains are still uniform, but the molecules are heterogeneous in mass with the number of branches per molecule distributed according to the binomial distribution and the branches in any molecule spaced randomly along the backbone. Examination of numerical results shows that the scattering functions for models (1) and (2) arc not very different. The function for case (3) is somewhat different from the others when the mean number of branches per molecule is small but they contain a large fraction of the mass of the molecule. Over a limited range of the pertinent variables (corresponding roughly to observations on typical vinyl polymers of molecular weights up to 106) all three functions agree quite well with P(θ) for homogeneous linear chains with the same mean square radius of gyration.

The Effect of Anisotropic Scattering on Radiant Transport

1965 ◽  
Vol 87 (3) ◽  
pp. 381-387 ◽  
Author(s):  
L. B. Evans ◽  
C. M. Chu ◽  
S. W. Churchill
Keyword(s):  
Angular Distribution ◽  
Integrodifferential Equation ◽  
Legendre Polynomials ◽  
Rayleigh Scattering ◽  
Single Scattering ◽  
Anisotropic Scattering ◽  
Reflection And Transmission ◽  
Scattering Material ◽  
Phase Functions ◽  
Infinite Media

Numerical values are presented for the reflection and transmission of radiation falling obliquely on finite slabs of absorbing and anisotropically scattering material. The angular distribution for single scattering was represented by a finite series of Legendre polynomials. The method of Chandrasekhar was used to reduce the representation of radiant transport from an integrodifferential equation to a set of integral equations. This set of equations was solved reiteratively on a digital computer. Previous solutions have been limited to isotropic and Rayleigh scattering or infinite media. The results for different phase functions for single scattering can be interpreted reasonably well in terms of only the forward-scattered fraction.

Angular distribution of rayleigh scattering from randomly branched polycondensates

1970 ◽  
Vol 2 (2) ◽  
pp. 110-115 ◽  
Author(s):  
K. Kajiwara ◽  
W. Burchard ◽  
M. Gordon
Keyword(s):  
Angular Distribution ◽  
Rayleigh Scattering

scholarly journals Monte Carlo simulation of coherently scattered photons based on the inverse-sampling technique

2020 ◽  
Vol 76 (1) ◽  
pp. 70-78
Author(s):  
Wazir Muhammad ◽  
Ying Liang ◽  
Gregory R. Hart ◽  
Bradley J. Nartowt ◽  
Jun Deng
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Angular Distribution ◽  
Computational Efficiency ◽  
Rayleigh Scattering ◽  
Form Factors ◽  
Sampling Technique ◽  
Anomalous Scattering ◽  
Inverse Sampling ◽  
Scattering Model

The acceptance–rejection technique has been widely used in several Monte Carlo simulation packages for Rayleigh scattering of photons. However, the models implemented in these packages might fail to reproduce the corresponding experimental and theoretical results. The discrepancy is attributed to the fact that all current simulations implement an elastic scattering model for the angular distribution of photons without considering anomalous scattering effects. In this study, a novel Rayleigh scattering model using anomalous scattering factors based on the inverse-sampling technique is presented. Its performance was evaluated against other simulation algorithms in terms of simulation accuracy and computational efficiency. The computational efficiency was tested with a general-purpose Monte Carlo package named Particle Transport in Media (PTM). The evaluation showed that a Monte Carlo model using both atomic form factors and anomalous scattering factors for the angular distribution of photons (instead of the atomic form factors alone) produced Rayleigh scattering results in closer agreement with experimental data. The comparison and evaluation confirmed that the inverse-sampling technique using atomic form factors and anomalous scattering factors exhibited improved computational efficiency and performed the best in reproducing experimental measurements and related scattering matrix calculations. Furthermore, using this model to sample coherent scattering can provide scientific insight for complex systems.

Electron Scattering in Solids

1990 ◽  
Vol 48 (2) ◽  
pp. 4-5
Author(s):  
Ryuichi Shimizu ◽  
Ze-Jun Ding
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Angular Distribution ◽  
Elastic Scattering ◽  
Electron Scattering ◽  
Cross Sections ◽  
Expansion Method ◽  
Electron Excitation ◽  
Partial Wave Expansion ◽  
Backscattered Electrons

Monte Carlo simulation has been becoming most powerful tool to describe the electron scattering in solids, leading to more comprehensive understanding of the complicated mechanism of generation of various types of signals for microbeam analysis.The present paper proposes a practical model for the Monte Carlo simulation of scattering processes of a penetrating electron and the generation of the slow secondaries in solids. The model is based on the combined use of Gryzinski’s inner-shell electron excitation function and the dielectric function for taking into account the valence electron contribution in inelastic scattering processes, while the cross-sections derived by partial wave expansion method are used for describing elastic scattering processes. An improvement of the use of this elastic scattering cross-section can be seen in the success to describe the anisotropy of angular distribution of elastically backscattered electrons from Au in low energy region, shown in Fig.l. Fig.l(a) shows the elastic cross-sections of 600 eV electron for single Au-atom, clearly indicating that the angular distribution is no more smooth as expected from Rutherford scattering formula, but has the socalled lobes appearing at the large scattering angle.

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