Non-local singularities as the point-source images in the generalized method of D. A. Grave for solving wave-scattering problems. (On the possible origin of a legend about optical properties of werewolves and ghosts)

2001 ◽  
Vol 43 (6) ◽  
pp. 63-69
Author(s):  
V.F. Apel'tcin
Keyword(s):  
Optical Properties ◽  
Point Source ◽  
Wave Scattering ◽  
Scattering Problems ◽  
Non Local

scholarly journals Observation of mean path length invariance in light-scattering media

Science ◽  
2017 ◽  
Vol 358 (6364) ◽  
pp. 765-768 ◽  
Author(s):  
Romolo Savo ◽  
Romain Pierrat ◽  
Ulysse Najar ◽  
Rémi Carminati ◽  
Stefan Rotter ◽  
...  
Keyword(s):  
Particle Size ◽  
Optical Properties ◽  
Wave Scattering ◽  
Path Length ◽  
Colloidal Solutions ◽  
Scattering Media ◽  
Scattering Problems ◽  
Wide Range ◽  
The Mean ◽  
Scattering Strength

The microstructure of a medium strongly influences how light propagates through it. The amount of disorder it contains determines whether the medium is transparent or opaque. Theory predicts that exciting such a medium homogeneously and isotropically makes some of its optical properties depend only on the medium’s outer geometry. Here, we report an optical experiment demonstrating that the mean path length of light is invariant with respect to the microstructure of the medium it scatters through. Using colloidal solutions with varying concentration and particle size, the invariance of the mean path length is observed over nearly two orders of magnitude in scattering strength. Our results can be extended to a wide range of systems—however ordered, correlated, or disordered—and apply to all wave-scattering problems.

OPTICAL PROPERTIES OF ROUGH NON-LOCAL SURFACES

1984 ◽  
Vol 45 (C5) ◽  
pp. C5-229-C5-229
Author(s):  
R. G. Barrera ◽  
R. Fuchs ◽  
W. L. Mochán
Keyword(s):  
Optical Properties ◽  
Non Local

scholarly journals Plane wave scattering from a plasmonic nanowire-film system with the inclusion of non-local effects

2015 ◽  
Vol 23 (20) ◽  
pp. 26064 ◽  
Author(s):  
Rahul Trivedi ◽  
Yashna Sharma ◽  
Anuj Dhawan
Keyword(s):  
Plane Wave ◽  
Wave Scattering ◽  
Film System ◽  
Local Effects ◽  
Non Local ◽  
Plane Wave Scattering

Parallel Volume Integral Equation Method for Two-Dimensional Elastodynamic Analysis

2019 ◽  
Vol 16 (06) ◽  
pp. 1840025
Author(s):  
Jungki Lee ◽  
Hogwan Jeong
Keyword(s):  
Integral Equation ◽  
Wave Scattering ◽  
Integral Equation Method ◽  
Equation Method ◽  
Two Dimensional ◽  
Volume Integral ◽  
Scattering Problems ◽  
Volume Integral Equation ◽  
Parallel Volume ◽  
Volume Integral Equation Method

The parallel volume integral equation method (PVIEM) is applied for the analysis of two-dimensional elastic wave scattering problems in an unbounded isotropic solid containing various types of multiple multilayered anisotropic inclusions. It should be noted that the volume integral equation method (VIEM) does not require the use of the Green’s function for the anisotropic inclusion — only the Green’s function for the unbounded isotropic matrix is needed. A detailed analysis of the SH wave scattering problem is presented for various types of multiple multilayered orthotropic inclusions. Numerical results are presented for the elastic fields at the interfaces for square and hexagonal packing arrays of various types of multilayered orthotropic inclusions in a broad frequency range of practical interest. Standard parallel programming was used to speed up computation in the VIEM. The PVIEM enables us to investigate the effects of single/multiple scattering, fiber packing type, fiber volume fraction, single/multiple layer(s), multilayer’s shapes and geometry, isotropy/anisotropy, and softness/hardness of various types of multiple multilayered anisotropic inclusions on displacements and stresses at the interfaces of the inclusions and far-field scattering patterns. Also, powerful capabilities of the PVIEM for the analysis of general two-dimensional multiple scattering problems are investigated.

Wave Problems for Repetitive Structures and Symplectic Mathematics

1992 ◽  
Vol 206 (6) ◽  
pp. 371-379 ◽  
Author(s):  
W X Zhong ◽  
F W Williams
Keyword(s):  
Wave Scattering ◽  
Power Flow ◽  
Turbine Blades ◽  
Expansion Method ◽  
Space Structures ◽  
Scattering Problems ◽  
Symplectic Matrix ◽  
Conservation Result ◽  
Wave Problems ◽  
Chain Type

Based on the analogy between structural mechanics and optimal control theory, the eigensolutions of a symplectic matrix, the adjoint symplectic ortho-normalization relation and the eigenvector expansion method are introduced into the wave propagation theory for sub-structural chain-type structures, such as space structures, composite material and turbine blades. The positive and reverse algebraic Riccati equations are derived, for which the solution matrices are closely related to the power flow along the sub-structural chain. The power flow orthogonality relation for various eigenvectors is proved, and the energy conservation result is also proved for wave scattering problems.

Sign in / Sign up

Export Citation Format

Share Document