Abstract
The wave packet consisting of two harmonic plane waves with the same frequencies, but with different wave vectors is considered. The dispersion relation of a packet is structurally similar to the dispersion relation of a relativistic particle with a nonzero rest mass. The possibilities of controlling the group velocity of a quasi-monochromatic wave packet by varying the angle between the wave vectors of its constituent waves and of creating a one-dimensional spatial structure in the region of wave packet propagation are discussed. The interaction of two transversely modulated wave packets is considered.
Highlights
The widespread practical use of wave packets in microwave technology, as well as in the technique of the optical range, in particular in the technique of ultrashort laser pulses [1-9], necessitates a detailed study of specific wave packets
Noteworthy is a packet consisting of two quasi-monochromatic plane waves propagating at an angle to each other
Let's consider two harmonic plane waves propagating at an angle θ to each other a1=Acos(K1r-ωt), [1]
Summary
The widespread practical use of wave packets in microwave technology, as well as in the technique of the optical range, in particular in the technique of ultrashort laser pulses [1-9], necessitates a detailed study of specific wave packets. Noteworthy is a packet consisting of two quasi-monochromatic plane waves propagating at an angle to each other. Despite the obvious simplicity of such a packet, its properties, in particular, the dependence of its group velocity on the angle between the components, have not been studied in detail. Let's consider two harmonic plane waves propagating at an angle θ to each other a1=Acos(K1r-ωt), [1]
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