MHB Fermats Principle: Find Time of Travel Along Path APB

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SUMMARY

This discussion focuses on Fermat's Principle, specifically how to calculate the time of travel for a light ray along a path APB, reflecting at point P(0) in a vacuum. The key conclusion is that the time of travel is maximized at the point of reflection when the angle of incidence equals the angle of reflection, adhering to the law of reflection. The scenario involves a light ray traveling from point A to point B, with P(0) located at the bottom of a hemisphere where theta equals zero.

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onie mti
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How do I find the time of travel along a path say APB of tetha and show it's maximum at P= P(0) considering a ray of light traveling in a vacuum from A to B with reflection at P in the same vertical and as A and B, according to the law of reflection,the actual path goes via point P(0) at the bottom of the hemisphere (theta=0)
 
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onie mti said:
How do I find the time of travel along a path say APB of tetha and show it's maximum at P= P(0) considering a ray of light traveling in a vacuum from A to B with reflection at P in the same vertical and as A and B, according to the law of reflection,the actual path goes via point P(0) at the bottom of the hemisphere (theta=0)
May I be the first to say: Huh?

Is there a diagram to go with this or something? Details!

-Dan
 

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