Maxwell’s Equations in Periodic Structures

2022 ◽  
Author(s):  
Gang Bao ◽  
Peijun Li
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Periodic Structures

Fast semi-analytical solution of Maxwell’s equations in Born approximation for periodic structures

2016 ◽  
Vol 33 (4) ◽  
pp. 610 ◽  
Author(s):  
Maxim Pisarenco ◽  
Richard Quintanilha ◽  
Mark G. M. M. van Kraaij ◽  
Wim M. J. Coene
Keyword(s):  
Analytical Solution ◽  
Born Approximation ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Periodic Structures

scholarly journals Efficient method for the solution of Maxwell’s equations for nanostructured materials

2019 ◽  
Vol 30 ◽  
pp. 08007
Author(s):  
Igor Semenikhin
Keyword(s):  
Nanostructured Materials ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Spectral Element Method ◽  
Periodic Structures ◽  
Nanowire Array ◽  
Spectral Element ◽  
Numerical Approach ◽  
Incident Radiation ◽  
Element Method

The calculation of the electromagnetic field in nanostructured materials and nano-optoelectronic devices, when the wavelength of the incident radiation is comparable with the size of the structural elements, requires the exact solution of Maxwell's equations. In this case, a very promising numerical approach is the spectral element method, which combines the geometric flexibility of finite elements with high precision of spectral methods. In this paper the implementation of the spectral element method based on the Dirichlet-to-Neumann map for solving Maxwell’s equations is discussed. The application of the method for two-dimensional periodic structures, such as diffraction gratings and a metal nanowire array in a dielectric matrix, is demonstrated.

scholarly journals Domain decomposition method for Maxwell’s equations: Scattering off periodic structures

2007 ◽  
Vol 226 (1) ◽  
pp. 477-493 ◽  
Author(s):  
Achim Schädle ◽  
Lin Zschiedrich ◽  
Sven Burger ◽  
Roland Klose ◽  
Frank Schmidt
Keyword(s):  
Domain Decomposition ◽  
Maxwell’S Equations ◽  
Decomposition Method ◽  
Maxwell's Equations ◽  
Periodic Structures ◽  
Domain Decomposition Method

Sumudu Applications to Maxwell's Equations

PIERS Online ◽  
2009 ◽  
Vol 5 (4) ◽  
pp. 355-360 ◽  
Author(s):  
Fethi Bin Muhammad Belgacem
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations

Maxwell’s Equations versus Newton’s Third Law

2018 ◽  
Author(s):  
Glyn Kennell ◽  
Richard Evitts
Keyword(s):  
Electric Fields ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Simulated Data ◽  
Numerical Data ◽  
Transport Equations ◽  
Concentration Gradients ◽  
Third Law

The presented simulated data compares concentration gradients and electric fields with experimental and numerical data of others. This data is simulated for cases involving liquid junctions and electrolytic transport. The objective of presenting this data is to support a model and theory. This theory demonstrates the incompatibility between conventional electrostatics inherent in Maxwell's equations with conventional transport equations. <br>

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