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A material having an index of refraction...

A material having an index of refraction of 1.30 is used as an antireflective coating on a piece of glass `(n = 1.50). What should be the minimum thickness of this film in order to minimize reflection of 500 nm light?

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To find the minimum thickness of an antireflective coating that minimizes reflection for light of wavelength 500 nm, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We have an antireflective coating with a refractive index \( n = 1.30 \) applied to glass with a refractive index \( n_g = 1.50 \). We need to minimize the reflection of light with a wavelength \( \lambda = 500 \) nm. 2. **Identify the Condition for Minimum Reflection**: For a thin film, the condition for destructive interference (which minimizes reflection) is given by the formula: \[ ...
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