Crest and Trough Interference - Light Wave Explanation

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SUMMARY

Crest and trough interference in light waves results in destructive interference when the troughs of two waves coincide, leading to minimum energy at troughs and maximum energy at crests. The confusion arises from the fact that both crests and troughs can have the same amplitude, but their directional signs differ; crests have positive amplitude while troughs have negative amplitude. The graphical representation of waves illustrates energy amplitude rather than displacement, clarifying the energy dynamics involved in wave interference.

PREREQUISITES
  • Understanding of wave properties, specifically amplitude and displacement
  • Familiarity with the concepts of constructive and destructive interference
  • Basic knowledge of light wave behavior and characteristics
  • Graphical interpretation of wave functions
NEXT STEPS
  • Research the principles of constructive and destructive interference in wave physics
  • Explore the mathematical representation of wave functions and their graphical interpretations
  • Study the energy dynamics in wave interactions, focusing on amplitude and directional signs
  • Investigate real-world applications of wave interference in optics and acoustics
USEFUL FOR

Students of physics, educators teaching wave mechanics, and professionals in optics or acoustics who seek to deepen their understanding of wave interference phenomena.

HUMERA.S
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when light waves interfere, it is said that when the troughs of both the waves (say) coincide, destructive interference takes place. it means that the waves have min. energy at crest and max. at crest. i don't understand how this could be, following that both(crest and trough) have the same amplitude and are at equal displacements of the wave !
would someone please clarify this...
 
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HUMERA.S said:
waves have min. energy at crest and max. at crest. i don't ...
you have mistaken here it must be minimum at trough and maximum at crests.
Well, you are right in saying that they have the same amplitude
but what here matters is the sign they have i.e. at troughs the amplitude is in negative direction while in crests its in positive.
And its usually mistaken that the graph representing a way shows displacement of something but its not so , the graph shows the amplitude of energy (for any type of wave) at that point.
 

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