scholarly journals An exact solution to Maxwell’s equation for a Sphere applied to Silver Nanoparticles

2019 ◽  
Vol 3 (1) ◽  
pp. 12-14
Author(s):  
Guy Francis Mongelli
Keyword(s):  
Exact Solution ◽  
Silver Nanoparticles ◽  
Maxwell’S Equation ◽  
Maxwell's Equation

A typical conventional development of Maxwell’s equation

1997 ◽  
pp. 1-54
Author(s):  
W. Geraint V. Rosser
Keyword(s):  
Maxwell’S Equation ◽  
Maxwell's Equation

Maxwell's equation

2011 ◽  
Keyword(s):  
Maxwell’S Equation ◽  
Maxwell's Equation

Controlled source 3D modeling of Maxwell’s equation with magnetic loops deployed in air and land

2020 ◽  
Author(s):  
Beatriz Valdés-Moreno ◽  
Marco A. Pérez-Flores ◽  
Jonás D. De Basabe
Keyword(s):  
3D Modeling ◽  
Maxwell’S Equation ◽  
Controlled Source ◽  
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.

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