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A soap bubble (n 5 1.33) having a wall thickness of 120 nm is floating in...

A soap bubble (n 5 1.33) having a wall thickness of 120 nm is floating in air. (a) What is the wavelength of the visible light that is most strongly reflected? (b) Explain how a bubble of different thickness could also strongly reflect light of this same wavelength. (c) Find the two smallest film thicknesses larger than the one given that can produce strongly reflected light of this same wavelength.

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Answer #1

a)

With a phase change in the reflection at the outer surface of the soap film and no change on reflection from the inner surface, the condition for constructive interference in the light reflected from the soap bubble is

For the lowest order reflection, m = 0 so the wavelength is

b)

To strongly reflect the same wavelength light, a thicker film will need to make use of a higher order constructive interference, i .e., Use a larger value of m .

c)

The next greater thickness of soap film that can strongly reflect 640 nm light corresponds to m= 1 ,giving

and the third such thickness (corresponding to m = 2 ) is

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