What factors affect the coherence of waves?

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SUMMARY

The coherence of waves is determined by the constancy of their initial phase and frequency. Coherent waves, such as those produced by lasers, maintain a constant relative phase, while incoherent waves, like those from sodium arc lamps, exhibit varying phases and wavelengths. Coherence can be categorized into spatial and temporal coherence, which can be manipulated through techniques such as using spatial filters or spectral filters. Understanding these properties is essential for applications in optics and wave physics.

PREREQUISITES
  • Understanding of wave properties, including frequency and phase.
  • Familiarity with coherent and incoherent light sources, such as lasers and sodium arc lamps.
  • Knowledge of spatial and temporal coherence concepts.
  • Basic principles of wave superposition and interference.
NEXT STEPS
  • Research the principles of wave superposition and how it affects coherence.
  • Explore the use of spatial filters in increasing spatial coherence.
  • Investigate spectral filters and their role in enhancing temporal coherence.
  • Study the applications of coherence in optical systems and technologies.
USEFUL FOR

Physicists, optical engineers, and students studying wave mechanics or optics will benefit from this discussion, particularly those interested in the properties of coherent and incoherent light sources.

alchemist7
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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?
 
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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.
 

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