Unformatted text preview: a the speed of the front connecting the rest state u = 0, v = 0 with the excited state at this value of v , i.e. u = 1, v = 0. Verify that in the approximation we used this front speed is zero for a = 0 . 5. (e) Find the propagation speed c and calculate and plot u ( x-ct ) and v ( x-ct ) for the excitation pulse propagating in the rest state of this system with a = 0 . 25, b = 0 . 2. (f) Calculate and plot expressions for the dispersion relationship C ( T ) for the scaled speed C = η 1 / 2 c as a function of the temporal period T for propagating wave trains for a = 0 . 25, b = 0 . 2. Do not worry about the breakdown of the scaling that occurs for small C ....
View Full Document
- Spring '11
- Excited state, Heaviside step function, Wave propagation, Rectangular function, Oliver Heaviside