Search results
Results From The WOW.Com Content Network
The group velocity of a wave is the velocity with which the overall envelope shape of the wave's amplitudes—known as the modulation or envelope of the wave—propagates through space. For example, if a stone is thrown into the middle of a very still pond, a circular pattern of waves with a quiescent center appears in the water, also known as ...
Wave speed is a wave property, which may refer to absolute value of: phase velocity , the velocity at which a wave phase propagates at a certain frequency group velocity , the propagation velocity for the envelope of wave groups and often of wave energy, different from the phase velocity for dispersive waves
Gamma is exactly 5/3 = 1.667 for monatomic gases (such as argon) and it is 4/3 = 1.333 for triatomic molecule gases that, like H 2 O, are not co-linear (a co-linear triatomic gas such as CO 2 is equivalent to a diatomic gas for our purposes here); T is the absolute temperature; M is the molar mass of the gas. The mean molar mass for dry air is ...
For an incident wave traveling from one medium (where the wave speed is c 1) to another medium (where the wave speed is c 2), one part of the wave will transmit into the second medium, while another part reflects back into the other direction and stays in the first medium. The amplitude of the transmitted wave and the reflected wave can be ...
Signal velocity is usually equal to group velocity (the speed of a short "pulse" or of a wave-packet's middle or "envelope"). However, in a few special cases (e.g., media designed to amplify the front-most parts of a pulse and then attenuate the back section of the pulse), group velocity can exceed the speed of light in vacuum, while the signal ...
The top electron has twice the momentum, while the bottom electron has half. Note that as the momentum increases, the phase velocity decreases down to c, whereas the group velocity increases up to c, until the wave packet and its phase maxima move together near the speed of light, whereas the wavelength continues to decrease without bound. Both ...
In the physical sciences, the wavenumber (or wave number), also known as repetency, [1] is the spatial frequency of a wave. Ordinary wavenumber is defined as the number of wave cycles divided by length; it is a physical quantity with dimension of reciprocal length , expressed in SI units of cycles per metre or reciprocal metre (m −1 ).
In the de Broglie hypothesis, the velocity of a particle equals the group velocity of the matter wave. [2]: 214 In isotropic media or a vacuum the group velocity of a wave is defined by: = The relationship between the angular frequency and wavevector is called the dispersion relationship.