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The relation between intensity and electric field

For a plane wave of the form $E=E_0 \cos(\omega t- k z)$, the intensity is $I=\frac{1}{2}c\epsilon_0E_0^2$. This can be derived by noting that $I=\langle S\rangle$, where $\langle \,\rangle$ denotes ...
apadana's user avatar
  • 483
1 vote
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Why is the intensity of a beam of light the squared magnitude of the phasor and not just the squared magnitude of the real part?

I'm learning about phasors and light intensity and there are two conflicting things I've been told that I can't reconcile. Firstly I've been told that a phasor $e^{-ikz+i\phi}$ is a mathematical way ...
Hadi Khan's user avatar
  • 531
1 vote
1 answer
162 views

Why the intensity of a wave is $ \Psi \Psi^*$?

In here at the bottom, it says the intensity of a wave is the wave phasor times it's conjucate $$ I(x) = \Psi \Psi^* = |\Psi |^2$$ But when I compute the intensity of an electromagnetic wave in c.g.s, ...
EB97's user avatar
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0 answers
249 views

Poynting vector and intensity of a signal

Given a plane monochromatic electromagnetic wave propagating in $x$ direction, with associated electric and magnetic fields of the form: $\overrightarrow{E}(x,t)=\overrightarrow{E_0}\cos(kx-\omega t), ...
Leonardo's user avatar
  • 119
0 votes
1 answer
97 views

Parabolic mirrors used in pair to produce much higher intensity light beam ready for transmission?

If a parabolic mirror is used to concentrate sunlight approximately to a focus point why can't an another smaller parabolic mirror be used to reparalelise the beams that are leaving the focal point ...
Krešimir Bradvica's user avatar
1 vote
0 answers
29 views

Calculate the amplitude and the frequency of the magnetic force acting on an electron

A free electron is located in the electromagnetic field of a laser with a given wavelength and intensity. Is it possible to calculate the amplitude and frequency of the magnetic force that is acting ...
Johnson's user avatar
  • 11
-1 votes
1 answer
59 views

Confused on intensity of light

If light behaves both as particle and wave at the same time, does it mean intensity (energy) of light depends on the square of its amplitude and at the same time energy of photons doesn't depend on ...
Bhavay's user avatar
  • 1,691
2 votes
1 answer
644 views

Intensity at $\theta = 0$ in slit diffraction

From the explanation on diffraction at http://web.mit.edu/viz/EM/visualizations/coursenotes/modules/guide14.pdf $$I = I_0\left [ \frac{\sin(\beta/2)}{\beta/2} \right ]^2=I_0\left [ \frac{\sin(\pi a \...
Sørën's user avatar
  • 2,637
5 votes
3 answers
1k views

How to explain the relationship between wave's amplitude and intensity?

I have the following statement which I don't know how to explain: Suppose I have 2 identical monochromatic waves (same intensity and phase) shooting into the same receiver. If each wave's intensity ...
vvofdcx's user avatar
  • 161
6 votes
1 answer
26k views

Relation between intensity of light and amplitude of electric field?

A question in my textbook involve finding the electric field amplitude at a point in space given the intensity of light. It uses the following equation to solve it: $$I=\frac{1}{2}\epsilon_{0}|E|^2c$$ ...
Marcus's user avatar
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