What factors affect the coherence of waves?

  • Thread starter Thread starter alchemist7
  • Start date Start date
  • Tags Tags
    Waves
AI Thread Summary
Initial phase in waves can vary, leading to incoherence, which is characterized by inconsistent phase and amplitude. Coherent waves maintain a constant relative phase, typically observed in monochromatic sources like lasers. Incoherent sources, such as sodium arc lamps, emit photons with random phases and wavelengths. Coherence is a statistical property of oscillators, with highly coherent fields exhibiting stable relative phases, while incoherent fields show rapid phase changes. Techniques like spatial filters and spectral filters can manipulate coherence levels in wave fields.
alchemist7
Messages
6
Reaction score
0
I do understand the definition that their initial phase different is not constant. but i just cannot imagine what kind of wave has changing initial phase. isn't initial phase the phase at the time 0? how can it change?
 
Physics news on Phys.org
Incoherent waves have really bad lisps and they usually stutter.

Coherent waves have constant relative phase if I recall correctly. For most cases this means that the waves are the same frequency. Monochromatic sources like a laser are an example of a coherent source. Shifts in amplitude also introduce incoherence too I think.
 
An example of an incoherent wave would be the sodium arc lamps used for street lamps that have a doublet yellow line at about 5880 Angstroms. All of the photons are incoherent, having neither constant phase nor exact wavelength as any other photons.
 
alchemist7 said:
I do understand the definition that their initial phase different is not constant. but i just cannot imagine what kind of wave has changing initial phase.

Suppose you have a bunch of short wavetrains that have finite lengths (and durations), and the same frequency and wavelength, but start at randomly different times. Now superpose them to form a resultant wave.
 
Coherence (and incoherence) are statistical properties of a collection of oscillators. In highly coherent fields, the relative phase stays constant in space and time. For highly incoherent fields, the relative phase changes rapidly. One can have spatial coherence and temporal coherence, and control them separately.

Standard ways of decreasing the spatial coherence is by transmission or reflection off a moving diffuse surface, or multiple reflections from a highly diffuse surface (integrating sphere). The spatial coherence can be increased by using a spatial filter (pinhole). Temporal coherence can be increased by spectral filters.
 
Thread 'Gauss' law seems to imply instantaneous electric field propagation'
Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire. We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges. By using the Lorenz gauge condition: $$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$ we find the following retarded solutions to the Maxwell equations If we assume that...
Thread 'A scenario of non-uniform circular motion'
(All the needed diagrams are posted below) My friend came up with the following scenario. Imagine a fixed point and a perfectly rigid rod of a certain length extending radially outwards from this fixed point(it is attached to the fixed point). To the free end of the fixed rod, an object is present and it is capable of changing it's speed(by thruster say or any convenient method. And ignore any resistance). It starts with a certain speed but say it's speed continuously increases as it goes...
Maxwell’s equations imply the following wave equation for the electric field $$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2} = \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$ I wonder if eqn.##(1)## can be split into the following transverse part $$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2} = \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$ and longitudinal part...
Back
Top