- #1
shayaan_musta
- 209
- 2
Hello experts!
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]νs[itex]\frac{Ka}{2}[/itex]
or,
ω=νsK
where, νs is phase velocity.
So ω=νsK is the relation for non-dispersive medium? Is it?
Thanks in advance.
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]νs[itex]\frac{Ka}{2}[/itex]
or,
ω=νsK
where, νs is phase velocity.
So ω=νsK is the relation for non-dispersive medium? Is it?
Thanks in advance.