Let a charge oscillate on a straight line between -a to +a with a frequency ω and according to the law:
κ (x.t) = κ° sin(πx/a) e^(-iωt)
I have to find the following:
1. Vector potential in the dipole approximation
2. Integral of the intensity of radiation
The Attempt at a Solution
First of all, I tried to calculate the dipole using:
d = ∫ κ (x.t) x dx
After that I calculated vector potential using:
A = 1/(cR) × d(d)/dt
But, I worry that my formula is not correct and I may have used the incorrect formula.
Then I used the formula for calculating the intensity of radiation:
I = (2(second time derivative of dipole)^2) / ( 3c^2)
Please guide me! I have picked up this subject after a long time and things have just jumbled up inside my head.