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interference of monochromatic light
For the interference of monochromatic light, we must return to the initial formula, given by
u(x,t) = A sin(ω
1
t-k
1
x+φ
1
) + A sin(ω
2
t-k
2
x+φ
2
)
At page
4
we derived, that by defining
2a = (ω
1
+ω
2
)t - (k
1
+k
2
)x + φ
1
+ φ
2
and
2b = (ω
1
-ω
2
)t - (k
1
-k
2
)x + φ
1
- φ
2
the above sum can be written as
u(x,t) = 2Acos(b)sin(a)
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