Two spherical point source waves crossing paths • The teal pattern that emerges is the so-called "beat" envelope, which arises when two waves of equal amplitude interactpic.twitter.com/odLaVOXsPr
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Is there a rigorous definition of beat envelope, and if so is there a mathematical proof that it will always exist? (I should probably just Google it instead of pestering you
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yea, when you add two cosines of the same amplitude you get a product. The lower frequency ω1 - ω2 can be thought of as a time varying amplitude (i.e. an envelope) that the higher frequency wave oscillates between. The left most cosine on the RHS forms the beat envelopepic.twitter.com/5cE0JCxvCq
