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Dispersion Relation
Introduction A dispersion relation describes how the phase speed or group speed of a wave depends on its wavelength, or equivalently, how the energy of a particle depends on its momentum. The term “dispersion” refers to the phenomenon where the speed of a wave depends on its frequency. Basic Form of the Dispersion Relation In the simplest case, the dispersion relation for a wave can be written…
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https://youtu.be/sLhr0cJWAew
Phase velocity and group velocity
Illustration of group and phase velocity.
Waves.
Optics Series Lecture, Lecture – XII and – XIII. “Traveling waves, Differential wave equations, Particle and wave velocities.” These lectures were delivered on 17th and 20th February 2017, in two lecture sessions of 1 and 1/2 hours each. The web version has been named “Waves.” and the lectures were delivered to Physics honors students. In one of our earlier optics session lecture I had hinted at…
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Harmonic Plane Waves
Optics Series Lecture, Lecture – VIII. “Harmonic Plane Waves” This lecture was delivered on 13th February in a lecture session of 1 and 1/2 hours. This lecture was delivered to Physics honors students. In our last lecture, lecture-VII we began by discussing what are electromagnetic waves. We also discussed in good detail what are harmonic waves. Harmonic waves are those waves whose wave-profile…
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There’s something mesmerizing about waves whose group velocity and phase velocity point in opposite directions. (image source)
Group velocity / phase velocity