Convergence of light rays and Optical Path Length (OPL)

In summary, rays coming from a far-off distance from a source, such as a planar object with its normal direction to the direction of the rays, do not necessarily have to travel the same Optical Path Length (OPL) when converging at a point. However, for a truly planar object, the maximum difference in OPL can be estimated using the object's largest dimension and the distance to the point of convergence. This difference is typically small compared to the wavelength of the light. If the rays all start from the same point source, then they will have the same OPL.
  • #1
pardesi
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Why do all rays coming from far off distance from a source(may be planar)... converging at a point need to travel the same Optical Path Length(OPL)
 
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  • #2
They don't have to - it depends on what you want to do with them at the point.
 
  • #3
pardesi said:
Why do all rays coming from far off distance from a source(may be planar)... converging at a point need to travel the same Optical Path Length(OPL)
Usually they don't travel the same OPL.
 
  • #4
pardesi said:
Why do all rays coming from far off distance from a source(may be planar)... converging at a point need to travel the same Optical Path Length(OPL)
For a truly planar object with its plane is normal to the direction of the rays, then you can estimate the maximum difference in the OPL from its largest dimension (say 2d) and the distance to the point of convergence (call this D):

[tex]\delta L= D[(1+(d/D)^2)^{1/2}-1] \approx d^2/2D[/tex]

This number is tiny compared to D, but it's much harder to make it small compared to the wavelength of the light.
 
  • #5
but is it true if they start from the same point source
 

Related to Convergence of light rays and Optical Path Length (OPL)

1. What is the concept of convergence of light rays?

The convergence of light rays refers to the process in which parallel light rays that travel in the same direction come together and meet at a single point. This can occur when the light rays pass through a lens or other optical element that causes them to change direction and converge at a focal point.

2. How does the convergence of light rays affect the formation of an image?

The convergence of light rays plays a crucial role in image formation. When light rays converge at a focal point, they create a clear and focused image. This is because the light rays that pass through the center of the lens are less refracted and converge at a single point, while the rays that pass through the edges of the lens are more refracted and converge at different points. This results in a clear and sharp image at the focal point.

3. What is the Optical Path Length (OPL) in relation to light rays?

The Optical Path Length (OPL) is the distance that a light ray travels through a medium, such as air or a lens, from its source to its endpoint. It takes into account any changes in direction or speed of the light ray due to the medium's refractive index. The OPL is an important factor in determining the convergence of light rays and the formation of an image.

4. How does the OPL affect the convergence of light rays?

The OPL affects the convergence of light rays by determining the amount of refraction that occurs. Light rays that travel through a medium with a higher refractive index will experience a greater change in direction, resulting in a larger convergence angle. This can result in a more focused and clear image, as the light rays will converge at a single point.

5. What factors can affect the convergence of light rays and the OPL?

The convergence of light rays and the OPL can be affected by several factors, including the shape and curvature of the lens, the refractive index of the medium, and the angle at which the light rays enter the medium. Other factors such as the wavelength of light and the distance between the source and endpoint can also impact the convergence of light rays and the OPL.

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