Activity for MathPhysicsâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Comment | Post #278553 |
According to the ergodic hypothesis in statistical physics, the time average of a process is the same as the average over the statistical ensemble. So, in the definition of the degree of the degree of first-order coherence we have $\langle E(t_1) E(t_2) \rangle = \frac{1}{T} \int_{T} E(t_1)E(t_2) dt_... (more) |
— | over 3 years ago |
| Comment | Post #278553 |
In the definition of coherence in optics we always time average fields. The definitions of higher order coherences is a different subject; they are not correlation of some variables. They are defined in some way analogous to the first order one. (more) |
— | over 3 years ago |
| Comment | Post #278553 |
The latter is the general definition of **correlation**. However, since in optics we deal with fields having zero time average, because they are sinusoidal in time, we have $\langle X \rangle = \langle Y \rangle =0$, so we get the former definition. (more) |
— | over 3 years ago |
| Comment | Post #278337 |
I cannot upload any image on Codidact platform. I sent you an image in Codidact Community Server on Discord. (more) |
— | over 3 years ago |