Thickness of film when you are given indexes of refraction. HELP

The goal is to find the thickness of the film that produces strong reflection for 610 nm light. The concept of interference on thin films can be used to solve this problem. In summary, the problem involves finding the thickness of the film that produces strong reflection for a specific wavelength of light.
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astru025
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Homework Statement



You are coating a glass lens of index of refraction 1.6 with a film of material of index of refraction 1.7. You start with the thinnest film possible that creates a strong reflection for 610 nm light. You gradually increase the film thickness until you again get strong reflection. What is the thickness of the film now?



Homework Equations


Not sure where to even start. Any help would be nice!


The Attempt at a Solution


Just need to be pointed in the right direction please!
 
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  • #2
show us your attempt, then we will help you...!
 
  • #3
Think of interference on thin films.

ehild
 

Related to Thickness of film when you are given indexes of refraction. HELP

1. What is the formula for calculating the thickness of a film using indexes of refraction?

The formula for calculating the thickness of a film using indexes of refraction is:
t = (mλ)/(2n cosθ)

2. How do you determine the index of refraction of a film?

The index of refraction of a film can be determined by measuring the angle of refraction and the angle of incidence of a light ray passing through the film. Then, the index of refraction can be calculated using Snell's Law:
n = sinθ1/sinθ2

3. What is the significance of the index of refraction in determining the thickness of a film?

The index of refraction is a measure of how much a material bends or slows down light as it passes through. The thickness of a film is directly proportional to the index of refraction, so a higher index of refraction will result in a thicker film.

4. Can the thickness of a film be negative?

No, the thickness of a film cannot be negative. It is a physical measurement and cannot have a negative value.

5. How does the thickness of a film affect its optical properties?

The thickness of a film plays a crucial role in determining its optical properties. A thicker film will result in more light being reflected and less being transmitted through, while a thinner film will have the opposite effect. This phenomenon is known as interference and is used in various applications such as anti-reflective coatings and thin film filters.

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