Group Velocity:
The ratio between frequency and wave no. is known as Group velocity..
Mathematically:
Group velocity= Vg = w/k
Where "w" is frequency of the wave & "k" is the wave number.
A group consists of a number of wave of different frequency superimposed upon each other.
For example:
White colour consists of of a continuous visible wavelength spectra ranging about 300 nm to 700 nm. The motion of a such a pulse is described by its group velocity.
The wave velocity of each component of a such group is different in all medium except volume.
Hence, such a group of wave will disperse with time, when it travels through a medium.
The important of a group velocity lies in the fact is the velocity which energy in the wave group is transmitted. e.g. For monochromatic wave, the group velocity and wave velocity are identical.
The ratio between frequency and wave no. is known as Group velocity..
Mathematically:
Group velocity= Vg = w/k
Where "w" is frequency of the wave & "k" is the wave number.
A group consists of a number of wave of different frequency superimposed upon each other.
For example:
White colour consists of of a continuous visible wavelength spectra ranging about 300 nm to 700 nm. The motion of a such a pulse is described by its group velocity.
The wave velocity of each component of a such group is different in all medium except volume.
Hence, such a group of wave will disperse with time, when it travels through a medium.
The important of a group velocity lies in the fact is the velocity which energy in the wave group is transmitted. e.g. For monochromatic wave, the group velocity and wave velocity are identical.
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