What factors affect the coherence of waves?

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Discussion Overview

The discussion centers on the factors affecting the coherence of waves, exploring both theoretical and practical aspects of coherence in wave phenomena. Participants examine definitions, examples, and implications of coherence and incoherence in various contexts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the concept of changing initial phase in waves, seeking clarification on how initial phase can vary over time.
  • Another participant states that coherent waves maintain a constant relative phase and typically share the same frequency, citing lasers as examples of coherent sources.
  • A different participant provides an example of incoherent waves, specifically mentioning sodium arc lamps and their lack of constant phase and exact wavelength among photons.
  • One participant suggests that a collection of short wavetrains with the same frequency but starting at different times can illustrate changing initial phases when superposed.
  • Another participant explains coherence as a statistical property of oscillators, differentiating between spatial and temporal coherence and discussing methods to manipulate these properties.

Areas of Agreement / Disagreement

Participants express varying understandings of coherence and incoherence, with some agreeing on definitions while others raise questions and examples that highlight differing perspectives. The discussion remains unresolved regarding the implications of changing initial phases.

Contextual Notes

Participants mention various methods to manipulate coherence, such as using spatial filters or diffuse surfaces, but do not reach a consensus on the broader implications of these methods or the definitions of coherence.

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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