What happens if the path difference is not a multiple of lambda?

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SUMMARY

The discussion focuses on the effects of path difference in electromagnetic wave interference. When the path difference is an integer multiple of the wavelength (nlambda), constructive interference occurs. Conversely, a path difference of (n+1/2)lambda results in destructive interference. If the path difference is neither of these, the resultant wave's magnitude changes due to the addition of two waves with different phases, represented mathematically as E(total) = E(wave1) + E(wave2), where E(wave1) = E*cos(wt) and E(wave2) = E*cos(wt + phi), with phi defined as 2*Pi*(path_difference/lambda).

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pakontam
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take it as em waves.
if the path difference is nlambda, where n is an integer, the interference will be a constructive one.
if the difference is (n+1/2)lambda, it'll be distructive.

what's it if the difference is neither nlambda nor (n+1/2)lambda?

thanks.
 
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then it changes the magnitude of the wave by addition of the two waves of different phase:

E(total)=E(wave1)+E(wave2)
E(wave1)=E*cos(wt)
E(wave2)=E*cos(wt+phi)
where phi=2*Pi*(path_difference/lambda).
 

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