Thin Film Problem: Find Minimum Thickness for Light Transmission

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The discussion focuses on calculating the minimum thickness of a thin film coated on glass to achieve optimal light transmission. The glass has a refractive index of 1.33, while the film has a refractive index of 1.50. The key consideration is the phase difference caused by light reflecting off the film's upper surface. The goal is to achieve constructive interference for maximum transmission and destructive interference for reflection. Understanding these interference conditions is crucial for solving the problem effectively.
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Homework Statement



A glass (Refractive index 1.33) is coated with a thin film. (Refractive index 1.50)

Find the minimum thickness of the film, if the glass is to transmit light of wavelength λ.

Homework Equations



The Attempt at a Solution



Light reflected from the upper surface of the film will suffer phase difference. That's all I know about this problem. Are we looking for constructive interference or destructive interference?
 
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It sounds like they probably want 100% transmission, so constructive interference for transmission, destructive for reflection.
 
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