scholarly journals The Use of Summary Representation for Electromagnetic Modeling

1984 ◽  
Vol 15 (3) ◽  
pp. 190-191
Author(s):  
C. Z. Tarlowski ◽  
A. P. Raiche ◽  
M. Nabighian
Keyword(s):  
Electromagnetic Modeling ◽  
Summary Representation

The use of summary representation for electromagnetic modeling

Geophysics ◽  
1984 ◽  
Vol 49 (9) ◽  
pp. 1506-1516 ◽  
Author(s):  
C. Z. Tarlowski ◽  
A. P. Raiche ◽  
M. Nabighian
Keyword(s):  
Finite Difference ◽  
Computing Time ◽  
Finite Difference Schemes ◽  
Two Dimensional ◽  
Electromagnetic Modeling ◽  
Dimensional Problem ◽  
Hybrid Scheme ◽  
Summary Representation ◽  
Improved Accuracy ◽  
And Storage

The method of summary representation developed by G. N. Polozhii is a quasi‐analytical method for solving self‐adjoint, finite‐difference boundary value problems expressed on regular meshes. In principle, the method should allow considerable savings in computing time as well as improved accuracy when compared to commonly used finite‐difference schemes. We have used summary representation as the basis for a new hybrid scheme to solve the two‐dimensional Helmholtz equation for electromagnetic modeling. The theory behind this hybrid scheme is presented. Preliminary results for the two‐dimensional problem show that substantial computing time and storage savings can be made.

Fast Methods of Electromagnetic Modeling of Complex Geometries

2001 ◽  
Author(s):  
J. J. Ottusch ◽  
G. D. Simms ◽  
J. L. Visher ◽  
S. M. Wandzura
Keyword(s):  
Complex Geometries ◽  
Electromagnetic Modeling ◽  
Fast Methods

Analysis of leaky sheetpile by Summary Representation

1980 ◽  
Vol 4 (3) ◽  
pp. 199-213 ◽  
Author(s):  
Gabor M. Karadi ◽  
Enrique De Miguel ◽  
Raymond J. Krizek
Keyword(s):  
Summary Representation

scholarly journals Optical Chirality Determined from Mueller Matrices

2021 ◽  
Vol 11 (15) ◽  
pp. 6742
Author(s):  
Hans Arwin ◽  
Stefan Schoeche ◽  
James Hilfiker ◽  
Mattias Hartveit ◽  
Kenneth Järrendahl ◽  
...  
Keyword(s):  
Circular Dichroism ◽  
Constitutive Relations ◽  
Mueller Matrix ◽  
Optical Path ◽  
Electromagnetic Modeling ◽  
Structural Effects ◽  
Polarization Effects ◽  
Optical Chirality ◽  
Mueller Matrices ◽  
Circular Dichroïsm

Optical chirality, in terms of circular birefringence and circular dichroism, is described by its electromagnetic and magnetoelectric material tensors, and the corresponding optical activity contributes to the Mueller matrix. Here, spectroscopic ellipsometry in the spectral range 210–1690 nm is used to address chiral phenomena by measuring Mueller matrices in transmission. Three approaches to determine chirality parameters are discussed. In the first approach, applicable in the absence of linear polarization effects, circular birefringence and circular dichroism are evaluated directly from elements of a Mueller matrix. In the second method, differential decomposition is employed, which allows for the unique separation of chirality parameters from linear anisotropic parameters as well as from depolarization provided that the sample is homogeneous along the optical path. Finally, electromagnetic modeling using the Tellegen constitutive relations is presented. The last method also allows structural effects to be included. The three methods to quantify optical chirality are demonstrated for selected materials, including sugar solutions, α-quartz, liquid crystals, beetle cuticle, and films of cellulose nanocrystals.

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