How Does Huygen's Principle Explain Wave Propagation?

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Huygen's Principle explains wave propagation by treating each point on a wavefront as a source of secondary wavelets that spread out in all directions. The discussion centers on understanding the relationship between the diagonal distance travel time and the refractive indices of two media, represented by the equation (n_2 - n_1){(1/c_1 + 1/c_2)}. The user seeks clarification on this equation's derivation and its implications for wave travel time across different media. There is an invitation for further exploration of equating two paths to clarify the concept. Understanding these principles is crucial for grasping how light behaves when transitioning between different materials.
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Homework Statement


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The Attempt at a Solution


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Okay, it is not an assignment question. I am just looking for an explanation regarding something I read. Why is the diagonal distance travel time(^-1) equal to (n_2 - n_1){(\frac{1}{c_1} + \frac{1}{c_2})} ?
 
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Google http://www.tutorvista.com/content/physics/physics-iv/optics/lens-makers-formula.php (derivation)
 
Aliasa said:
I am just looking for an explanation regarding something I read. Why is the diagonal distance travel time(^-1) equal to (n_2 - n_1){(\frac{1}{c_1} + \frac{1}{c_2})} ?
Did you try to equate the two paths? If so, where did you get stuck?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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