Thin Film Problem: Find Minimum Thickness for Light Transmission

In summary, a thin film problem is the challenge of determining the minimum thickness required for a film to allow for the transmission of light. This is calculated using the equation t = λ / 2n, and factors such as wavelength, refractive index, and angle of incidence can affect the minimum thickness. It is possible to adjust the minimum thickness by changing material properties or using multiple layers. Practical applications of solving this problem include the design of lenses and coatings, as well as understanding light behavior in different materials for various technologies.
  • #1
physicist10
17
0

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?
 
Physics news on Phys.org
  • #2
No help?
 
  • #3
It sounds like they probably want 100% transmission, so constructive interference for transmission, destructive for reflection.
 

1. What is a thin film problem?

A thin film problem refers to the challenge of determining the minimum thickness required for a film to allow for the transmission of light. This is a common problem in optics and materials science, as it is important for applications such as coatings, lenses, and solar cells.

2. How is the minimum thickness for light transmission calculated?

The minimum thickness for light transmission is calculated using the equation t = λ / 2n, where t is the minimum thickness, λ is the wavelength of light, and n is the refractive index of the material. This equation is based on the principle of interference, where the thickness of the film must be equal to half the wavelength of light in order to allow for constructive interference and transmission of light.

3. What factors affect the minimum thickness for light transmission?

The minimum thickness for light transmission is affected by the wavelength of light, the refractive index of the material, and the angle of incidence of the light. In addition, the type of material and any coatings or layers on the surface of the film can also impact the minimum thickness.

4. Can the minimum thickness for light transmission be adjusted?

Yes, the minimum thickness for light transmission can be adjusted by changing the properties of the material, such as the refractive index or the angle of incidence. It is also possible to use multiple layers of thin films to achieve the desired transmission, as long as the total thickness of the layers meets the minimum requirement.

5. What are the practical applications of solving the thin film problem?

The thin film problem has many practical applications in various industries. For example, it is crucial in the design and production of lenses for cameras and microscopes, as well as in the development of anti-reflective coatings for eyeglasses and solar cells. It is also important for understanding the behavior of light in different materials, which has implications for technologies such as optical fibers and sensors.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
841
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
5K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
7K
  • Introductory Physics Homework Help
Replies
2
Views
1K
Replies
12
Views
1K
Back
Top