Is it necessary for coherent waves to have same frequency?

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SUMMARY

Coherent waves are defined by having a constant phase difference, which does not necessitate them being in phase or having the same frequency. It is established that coherent waves can have different frequencies, provided that the phase difference remains constant. For instance, waves with frequencies that are whole multiples of each other, such as 256 Hz and 512 Hz, can still be considered coherent. The discussion highlights that amplitude does not directly affect the coherence of waves.

PREREQUISITES
  • Understanding of wave properties, including phase and frequency.
  • Familiarity with the concept of coherence in physics.
  • Basic knowledge of trigonometric functions and their applications in wave analysis.
  • Awareness of amplitude and its role in wave behavior.
NEXT STEPS
  • Research the mathematical definition of phase difference in wave mechanics.
  • Explore the concept of coherence in more detail, particularly in optics.
  • Study the implications of amplitude on wave interference patterns.
  • Investigate real-world applications of coherent waves in technologies such as lasers and telecommunications.
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Students of physics, wave mechanics enthusiasts, and professionals in fields such as optics and telecommunications who seek to deepen their understanding of wave coherence and its applications.

khurram usman
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i mean what more are coherent waves except 'having constant phase differnce'?i mean it is nt necessay for them to be in phase .they can be out of phase but must have a cnsstant phase diff. say pie/2 radian
so what i mean to ask is that is it necessary for coherent waves to be of same frequency. can't they be of different frewuency? bcoz even if they are of different frequency like say one is a multiple of other like twice of it even then the condition of CONSTANT PHASE DIFFERENCE be satisfied?
so shortly is it necessary that the coherent waves have same frequency or can they have frequencies dat are whole multiples of each other(256 , 512)?
also what abt their amplitude?
 
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See here: http://en.wikipedia.org/wiki/Coherence_(physics )
 
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