Understanding Coherent Waves: Frequency and Phase Differences Explained

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    Coherent Waves
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Discussion Overview

The discussion revolves around the concept of coherent waves, specifically addressing whether coherent waves must have the same frequency or if they can be simple numerical multiples of each other. Participants explore the implications of frequency and phase differences in the context of wave coherence.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions the necessity for coherent waves to have the same frequency, suggesting that frequencies that are simple numerical multiples could also be coherent.
  • Another participant clarifies that coherence refers to the correlation of wave properties, implying that frequency is not the sole determinant of coherence.
  • A different viewpoint suggests that if the frequencies are multiples, the waves would beat at the frequency that is the highest common factor (HCF) of both frequencies.
  • One participant notes that there is a changing phase difference between a fundamental frequency and its second harmonic, indicating that phase relationships can vary even when frequencies are related.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between frequency and coherence, with no consensus reached regarding the necessity for frequencies to be identical for coherence.

Contextual Notes

Participants do not fully explore the implications of their claims regarding phase differences and frequency relationships, leaving some assumptions and definitions unaddressed.

khurram usman
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is it necessary ffor coherent waves to be of same frequency? bcoz everywhere i read its written dat they must have a constant phse difference. but can't they have frequencies dat are simple numerical multiples of each other?
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That depends on what you mean by coherent. Coherence just describes the correlation of the properties of waves. See here: http://en.wikipedia.org/wiki/Coherence_(physics )
 
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i think yes.. being multiples makes waves beat at the frequency that is HCF of both the frequencies.
 
There is a constantly changing phase difference between a fundamental and second harmonic. 2πf radians per second, actually. It just happens that, every cycle of the fundamental, the phase is a whole number of cycles.
 

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