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I have 2 questions.

1)Difference between dispersive and non-dispersive medium.

2)ω=[itex]\sqrt{\frac{4β}{m}}[/itex]sin[itex]\frac{Ka}{2}[/itex] is a relation for dispersive medium. How to reduce it to non-dispersive relation? Here is some math work I have performed to reduce it to non-dispersive relation i.e.

At low frequency K→0

so,

sin([itex]\frac{Ka}{2}[/itex])→[itex]\frac{Ka}{2}[/itex]

so the equation becomes,

ω=[itex]\frac{2}{a}[/itex]ν_{s}[itex]\frac{Ka}{2}[/itex]

or,

ω=ν_{s}K

where, ν_{s}is phase velocity.

So ω=ν_{s}K is the relation for non-dispersive medium? Is it?

Thanks in advance.

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# Difference between dispersive medium and non-dispersive medium.

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