scholarly journals Analytical study of electromagnetic wave behaviour in fcc latice periodic material: Bloch theorem of Maxwell’s equation

2015 ◽  
Vol 9 (4) ◽  
pp. 373-382
Author(s):  
Emmanuel I. Ugwu ◽  
Idu H. Kevin ◽  
John U. Okwo
Keyword(s):  
Electromagnetic Wave ◽  
Analytical Study ◽  
Maxwell’S Equation ◽  
Bloch Theorem ◽  
Maxwell's Equation

Prediction on operating range of passive troposcatter detection system

2018 ◽  
Vol 11 (1) ◽  
pp. 22-26 ◽  
Author(s):  
Zan Liu ◽  
Xihong Chen
Keyword(s):  
Electromagnetic Wave ◽  
Analytical Study ◽  
Detection System ◽  
Rain Attenuation ◽  
Propagation Loss ◽  
Line Of Sight ◽  
Time Model ◽  
Operating Range ◽  
Statistic Model ◽  
Loss Models

AbstractElectromagnetic wave of enemy radar propagated by troposcatter is a valuable candidate for beyond line-of-sight detection. There is no analytical study considering the operating range of passive troposcatter detection system. In this paper, we study the way to predict the operating range, which is dominated by propagation loss. The key propagation loss models including statistic model and real-time model are analyzed. During deducing the latter loss model, Hopfield model is introduced to precisely describe the tropospheric refractivity. Meanwhile, rain attenuation is also taken into consideration. Several examples demonstrate the feasibility of predicting operating range through the proposed method.

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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