Timeline for Why does the graph of deviation angle in a prism not get a symmetry?
Current License: CC BY-SA 4.0
8 events
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| Jun 3, 2018 at 18:08 | comment | added | Philip Wood | It looks as if Frobenius has got there first! | |
| Jun 3, 2018 at 17:23 | comment | added | Philip Wood | You can find a graph of the sine function very easily. Its non-linearity is quite clearly apparent. However I'm convinced that the best way to convince yourself of the non-symmetry is by doing a couple of simple calculations. Choose a refractive index and a prism angle, $A$ (say $n$ = 1.50 and 60°). Calculate $i^*$. [I think it's 48.6° with my values of$n$ and $A$.] Then sketch the ray for $i_1=58.6°$ and calculate $i_2$ using Snell's law (twice) and simple geometry. I bet you'll find that $i_2$ isn't 38.6° ! Good luck! | |
| Jun 3, 2018 at 16:35 | comment | added | Osal Thuduwage | I am not expert in mathematics, but this is the way of the answer, I expected. The reasons that you show with combining of sine curve and the arc sine curve saying that " The basic reason for the non-symmetry is the non-linearity of the sine function". If you can attach a graph or curve, how does the non linearity of the sine curve affect with the deviation angle symmetry, it will more understandable and more helpful. Thank you very much for spending your time with my question. | |
| Jun 3, 2018 at 13:53 | history | edited | Philip Wood | CC BY-SA 4.0 |
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| Jun 3, 2018 at 13:32 | history | edited | Philip Wood | CC BY-SA 4.0 |
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| Jun 3, 2018 at 11:49 | history | edited | Philip Wood | CC BY-SA 4.0 |
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| Jun 3, 2018 at 11:27 | history | edited | Philip Wood | CC BY-SA 4.0 |
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| Jun 3, 2018 at 11:19 | history | answered | Philip Wood | CC BY-SA 4.0 |