interference for light that has a wavelength of 534 nm in vacuum? Assume the lig

Question

interference for light that has a wavelength of 534 nm in vacuum? Assume the light is traveling in air before encountering the film, and that the light strikes the film at normal incidence. This problem is set up to help you work through the problem using a systematic: approath, consistent with the five-stepethadoutlinerd i thtexck. A thin film with an index of refraction of 1.76 is used as a non-reflective coating on a glass lens that has an index ot refraction of 1.52. What is the smallest non-zero thickness (tmin) ot the film that will produce completely destructive (a) First, what is At, the shift for the wave reflecting from the air-coating interface? min 2rmin (b) You should also think about what happens with the wave that reflects from the ocating-glass interface. When you put everything together, and bring in the appropriate interference condition, you should get one of the following equations (or something ecuivalent to one of these equations). The resulting equation (possibly after simplifying a little) is which of the following? timin = mifilm ) Solve the equation to find the minimum non-zero film thickness.

Explanation / Answer

given

n = 1.76

lamda = 534 nm = 534*10^-9 m

t = ?

for distructive interefrence

if t is the thickness of the oil,

2*n*t = m*lamda (m = 1,2.....)

for minimum thickness , m = 1

t_min = 1*lamda/(2*n)

= 1*534*10^-9/(2*1.76)

= 1.51*10^-7 m

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