Frequency response of an equation

Hi,

I have an equation and I would like to see its frequency response. Here is the equation:

e(w)= 1- (wp)^2/(w)^2

where wp is plasma frequency and equal to 1.37*10^16 Hz. My desire frequency is 21.99*10^14.

I do not know how to plot this in matlab. Could anyone kindly help me please.

Answer 1

[Sebastian Castro]

So wp is a constant and w is the frequency you want to input?

Create a vector of frequencies to sample. You probably want this logarithmically:

w = logspace(12,16,100) % 100 points between 10^12 and 10^16

Then, evaluate that frequency response for EACH frequency. Whenever you do element-by-element calculations, you want to use dot multiply/dot divide/dot exponential.

e = 1 - (wp./w).^2;

Finally, you can plot this in a log-log plot:

loglog(w,e)

- Sebastian