Analytical solution of Maxwell’s equations in lossy and optically active crystals

2000 ◽  
Vol 61 (3) ◽  
pp. 3264-3266 ◽  
Author(s):  
Haijun Yuan ◽  
Weinan E ◽  
Peter Palffy-Muhoray
Keyword(s):  
Analytical Solution ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Optically Active

scholarly journals Calculation of Maxwell’s Equations Using MATLAB

2021 ◽  
Vol 09 (10) ◽  
Author(s):  
Subhi Abdalazim Aljily Osman ◽  
Keyword(s):  
Mathematical Method ◽  
Analytical Solution ◽  
Maxwell’S Equations ◽  
Maxwell Equations ◽  
Maxwell's Equations ◽  
System Of Equations ◽  
First Order ◽  
Mathematical Programs ◽  
Mathematical Problems ◽  
Micro Radio

Maxwell’s equations describe electromagnetic Phenomena. This includes micro- , radio and radar waves .The Maxwell equations are discussed in more detail Faraday's and Amperes laws constitute a first - order hyperbolic system of equations .Matlab is one of the most famous mathematical programs in calculating mathematical problems .The aims of this study is to calculate Maxwell’s equations using Matlab .We followed the applied mathematical method by using Matlab .We found that the solution of Matlab is more accuracy and speed than the analytical solution.

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

On Maxwell's equations in non-stationary media

2008 ◽  
Vol 366 (1871) ◽  
pp. 1781-1788 ◽  
Author(s):  
I Vorgul
Keyword(s):  
Analytical Solution ◽  
Plane Wave ◽  
Integral Equations ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Exact Analytical Solution ◽  
Charge Injection ◽  
Incident Field ◽  
Volterra Integral Equations ◽  
Numerical Investigations

Maxwell's equations formulated for media with gradually changing conductivity are reduced to Volterra integral equations. Analytical and numerical investigations of the equations are presented for the case of gradual splash-like change in conductivity. Splash-like change in medium parameters can model any discharge phenomena, growing plasma, charge injection, etc. Exact analytical solution for the resolvent is presented and different field behaviours are analysed for the incident field as a plane wave and as an impulse.

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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