On the Scattering of Electromagnetic Waves by Perfectly Conducting Bodies Moving in Vacuum. Part 3. Representations of Sufficiently Smooth Solutions of Maxwell's Equation and of the Scattering Program.

1984 ◽  
Author(s):  
A. G. Dallas
Keyword(s):  
Electromagnetic Waves ◽  
Smooth Solutions ◽  
Maxwell’S Equation ◽  
Conducting Bodies ◽  
Maxwell's Equation

scholarly journals OPTIMAL FOCUSING FOR MONOCHROMATIC SCALAR AND ELECTROMAGNETIC WAVES

2011 ◽  
Vol 23 (08) ◽  
pp. 839-863
Author(s):  
JEFFREY RAUCH
Keyword(s):  
Wave Equation ◽  
Electric Field ◽  
Electromagnetic Waves ◽  
Field Energy ◽  
Scalar Case ◽  
Far Field ◽  
Maxwell’S Equation ◽  
Maximum Field ◽  
Optimal Focusing ◽  
Maxwell's Equation

For monochromatic solutions of D'Alembert's wave equation and Maxwell's equations, we obtain sharp bounds on the sup norm as a function of the far field energy. The extremizer in the scalar case is radial. In the case of Maxwell's equation, the electric field maximizing the value at the origin follows longitude lines on the sphere at infinity. In dimension d = 3, the highest electric field for Maxwell's equation is smaller by a factor 2/3 than the highest corresponding scalar waves. The highest electric field densities on the balls BR(0) occur as R → 0. The density dips to half max at R approximately equal to one third the wavelength. For these small R, the extremizing fields are identical to those that attain the maximum field intensity at the origin.

A Maxwell's equation solver for 3-D MHD calculations

1997 ◽  
Vol 33 (1) ◽  
pp. 254-259 ◽  
Author(s):  
D. Kondrashov ◽  
D. Keefer
Keyword(s):  
Maxwell’S Equation ◽  
Maxwell's Equation
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