How would I calculate how much light is being bent in a certain area?

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SUMMARY

The discussion focuses on calculating the bending of light in a specific area using integrals. The proposed formula is L = ∫_x^y MGc² dx, where M represents mass, G is the gravitational constant, and c is the speed of light. The user suggests that integrating over two points in a wave is necessary for this calculation. Additionally, a suggestion to explore the Index of Refraction is made as a potential aid in understanding light bending.

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  • Understanding of integrals in calculus
  • Familiarity with the concepts of mass (M) and gravitational constant (G)
  • Knowledge of the speed of light (c) and its significance in physics
  • Basic principles of astrophysics and optics
NEXT STEPS
  • Research the Index of Refraction and its role in light bending
  • Study the principles of General Relativity and how they relate to light and gravity
  • Learn about the application of integrals in physics, particularly in wave mechanics
  • Explore advanced topics in astrophysics, focusing on light propagation in gravitational fields
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Students and enthusiasts in physics, particularly those interested in astrophysics and the behavior of light in gravitational fields.

Verideth
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Hey guys, I'm trying to teach myself physics and ran into a problem. I've recently been trying to calculate how much light is being bent in a certain area. I think we'd have to use integrals? I came up with this little formula, but not sure if it's right. If anyone can help me, that'd be much appreciated! :))

$$L = \int_x^y MGc^{2} dx$$

How did I get this equation? First I thought how would I do this? I realized because we're calculating 2 points in the area of a wave, we'd have to use an integral. And then, I multiplied M (Mass of the object) by G (Gravitational constant) to signify that mass and gravity are involved. I then multiplied this by c^2 (speed of light, every second) because I decided that if we do this we'd get the speed of light by M and G. And of course, I then used dx. Thanks!

All help is appreciated! (Please remember, I'm new to astrophysics)
 
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Have you tried working out the Index of Refraction? This might help!
 

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