Showing posts with label wave. Show all posts
Showing posts with label wave. Show all posts

Saturday, February 15, 2014

Group Velocity / Phase Velocity Animation - Case 2: Zero Group Velocity


In this second video of the series, we demonstrate the case where the group velocity is zero while the phase velocity is positive number. The individual wave components comprising the total wave are first shown at the top along with a corresponding "dot" representing the phase velocity of each component.

In the bottom figure, we have the resulting wave that travels along the +x direction with a positive phase velocity but the group velocity remains to be zero. The wave packet envelope is shown in magenta color in dashed lines.

For the other videos in the series, check the below links:
1) Group Velocity larger than Phase Velocity: https://www.youtube.com/watch?v=tlM9vq-bepA


Групповая скорость, Gruppengeschwindigkeit, Voortplantingssnelheid, Velocidad de grupo, Grupa rapido, Vitesse de groupe, Velocità di gruppo, 군속도, מהירות חבורה, ჯგუფური სიჩქარე, 群速度, Gruppefart, Prędkość grupowa, Групова швидкість, 群速度, Vận tốc nhóm, Grupphastighet, Grupinis greitis, Phasengeschwindigkeit, Velocidad de fase, 相速度, Vitesse d'une onde, Velocità di fase, Фазовая скорость, 位相速度

Thursday, December 05, 2013

Diffraction from a wedge - TMz case [FDTD simulation]


Here, we demonstrate the diffraction from a wedge when a plane wave with electric field component normal to the surface is impinging on it. The wedge corner acts as a secondary source to generate cylindrically propagating waves which are clearly seen when the scattered field plots on the right is analyzed. The left side of the animation shows the total field where both the scattered and incident fields are plotted together.





Beugung, Difracción, Diffrazione, Kırınım, 回折, Дифракция, Diffractie, Difração, 衍射, Dyfrakcja, Diffraktion, Interferenz, Interferencia

Sunday, January 20, 2013

Group velocity / Phase velocity Animation



Here, we demonstrate the group and phase velocity phenomena as observed when two signals with different temporal and spectral frequencies (wavelength) are added to each other. The addition creates time varying constructive and destructive interferences along the space. The resulting wave packet travels with the so-called group velocity which is faster than the phase velocity in this case. The wave packet envelope is shown in magenta color in dashed lines. Note that in this particular case, both group and phase velocities are positive. An important interpretation of group velocity is that it represents the velocity at which the energy or information is conveyed along a wave (see Wikipedia for further details). 


Групповая скорость, Gruppengeschwindigkeit, Voortplantingssnelheid, Velocidad de grupo, Grupa rapido, Vitesse de groupe, Velocità di gruppo, 군속도, מהירות חבורה, ჯგუფური სიჩქარე, 群速度, Gruppefart, Prędkość grupowa, Групова швидкість, 群速度, Vận tốc nhóm, Grupphastighet, Grupinis greitis Phasengeschwindigkeit, Velocidad de fase, 相速度, Vitesse d'une onde, Velocità di fase, Фазовая скорость, 位相速度