If we consider a weak gravitational field, we can write a simple expression for gravitational time dilation. Looking from a region distant from the gravitating body, light will appear to travel more slowly due to this time dilation. We can model this as a refractive index, with n > 1. What refractive index distribution in a spherical lens mimics gravitational deflection by an object? If we replace the lens by a thin plate of varying thickness, what is the required thickness?
If we consider a weak gravitational field, we can write a simple expression for gravitational time dilation. Looking from a region distant from the gravitating body, light will appear to travel more slowly due to this time dilation. We can model this as a refractive index, with n > 1. What refractive index distribution in a spherical lens mimics gravitational deflection by an object? If we replace the lens by a thin plate of varying thickness, what is the required thickness?
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Transcribed Image Text:If we consider a weak gravitational field, we can write a simple
expression for gravitational time dilation. Looking from a region distant
from the gravitating body, light will appear to travel more slowly due to
this time dilation. We can model this as a refractive index, with n > 1.
What refractive index distribution in a spherical lens mimics gravitational
deflection by an object? If we replace the lens by a thin plate of varying
thickness, what is the required thickness?
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