I also tried to repeat some calculations in other literature. It seems that the blurred images are darker in coherent system that incoherent system, just like your calculation. (although I can not guarantee the calculations are correct)
But I don't think the phase can explain this phenomena...
That makes sense. But it seems that the coherent system does not conserve energy... consider two points of light source separated by 1 pixel and 2 pixels. The sums of intensity of the blurred image are not equal...
Thanks. That does help.
So when I do simulations for incoherent system, I need to normalize the point spread function as
\sum_{x,y} |h(x,y)|^2 = 1
which make sense because it conserve the total energy. Is that correct?
thanks
think about a simplified version of the point spread function,
h =\left(\begin{array}{ccc}
1/12 & 1/12 & 1/12 \\
1/12 & 1/3 & 1/12\\
1/12 & 1/12 & 1/12 \\
\end{array}\right)
which is normalized with \sum_{xy} h(x,y)=1
and assume we have two points of light source, say...
I am learning Fourier optics recently and I have a problem of the jinc function.
In optical systems, digital image is blurred with the kernel of jinc function
h(x,y)=jinc(r)=\frac{J_1(2\pi r / \lambda)}{ 2\pi r / \lambda}
in the coherent system, the blurred image
g(x,y) = |h(x,y) \star...
I might misunderstand the higgs mechanism. And I have a puzzle.
Consider an electron in an accelerater. It is massive at low energy and its speed is something lower than the speed of light. However when it is accelerated to the electroweak scale, su(2) becomes unbroken and the electron turns...
The pmns matrix is complex, then when you write down the oscillation transition rate for neutrino and antineutrino, which depends on the real and imaginary part of the pmns matrix elements, you will find the difference.
The key is CP violation vanishes if the pmns matrix is real.
3 generation is required for anomaly cancellation, then the 4th generation seems redundant. But there are still papers about the 4th generation, what is the reason?
Thanks
1) Actually, we do have non-perturbative method, e.g. lattice QCD
2) The electrical interaction being attractive repulsive is determined by the charge of the charged particle, not photon.
3) Accelerating a proton to 1 TeV means the single proton carried 1TeV energy, whereas 1 Joule energy in a...
in the Standard Model, the second and third generation of quarks (charm, strange, bottom and top) and charged leptons (muon and tau) are unstable and their life time is much much smaller than the age of the universe. All three generations of quarks and leptons have an abundance (of the same...
I am reading Mukhanov's 'Physical Foundations of Cosmology'. He claims that in the minimal SU(5) model, CP violation of a heavy SU(5) gauge boson X decay arises at the tenth order of perturbation theory.
Is that correct? The tenth order perturbation theory would lead to a very complicated...
Thanks for you reply. But how to describe the fermions-scalar interacting system mathematically. And how do fermions contribute to the stress-energy tensor of the universe? Can you refer me come articles?
neutrino mass difference (and mixing) will lead to oscillation. But there were several other models explain neutrino oscillation without neutrino masses. Unfortunately, they were ruled out by some experiments. Neutrino mass is the only one survived.
Electron, muon, tauon and quarks cannot...