The Angular Spectrum Representation of Pulsed Electromagnetic Beam Fields
A completely general representation of the propagation of a freely-propagating electromagnetic field into the half-space z ⩾ z0 > Z > 0 of a homogeneous, isotropic, locally linear, temporally dispersive medium is now considered. The term “free” is used here1 to indicate that there are no externally supplied charge or current sources for the field present in this half-space, the field source residing somewhere in the region ∣z∣ ⩽ Z. It is unnecessary to know what this source is provided that the pair of electromagnetic field vectors are known functions of time and the transverse position vector rT = î x x + îyy in the plane z = z0, as illustrated in Fig. 4.1. The rigorous, formal solution of this planar boundary value problem for the electromagnetic field in the half-space z ⩾ z0 forms the basis of investigation for a wide class of pulsed electromagnetic beam field problems.
KeywordsAttenuation Propa Convolution Sine Refraction
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