Timeline for Optic fibers after Joseph O'Rourke
Current License: CC BY-SA 3.0
4 events
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| Oct 13, 2011 at 21:56 | comment | added | Gerhard Paseman | Perhaps I mean secant rather than tangent. Anyway perhaps Anton can find a dense subset of fibers for which he can get nice results, and then get closure somehow (pun intended). Gerhard "I Guess I Wasn't Done" Paseman, 2011.10.13 | |
| Oct 13, 2011 at 21:53 | comment | added | Gerhard Paseman | The hope was to come up with an appropriate nice subset of optic fibers to use and then show this was a dense subset etc. The patch idea was an attempt at having the good fibers be uniform so as to avoid Anton's example, and show that good fibers allowed light to travel in time proportional to something like tangent of the incidence angle to traverse the tube. The patch idea was to say that the geometry involved in a reflection was not too bizarre: small dots reflected through p aren't very distorted by the receiving wall. Gerhard "Ask Me About System Design" Paseman, 2011.10.13 | |
| Oct 13, 2011 at 21:11 | comment | added | Joseph O'Rourke | I don't think I understand your patch idea, but you probably realize that the go-further-down-the-tube idea runs afoul of Anton's example that I tried to illustrate here: mathoverflow.net/questions/70421/… . In his construction, the lightray always does go "further down the tube," but the distance "further down" diminishes and the ray stops progressing in the limit. | |
| Oct 13, 2011 at 18:04 | history | answered | Gerhard Paseman | CC BY-SA 3.0 |