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Okay, sorry another question. I know I'm being a total idiot but I'm in a brainstick (I just made that up) and I can't seem to get out of it. Anyways, I'm doing a little thought experiment about waveguides, which act like fiber optics. So I have a tube and a light ray travels through it. It starts from the center of the entrance of the tube, which lies in the xy plane, and the center is the origin. If the fiber optic was straight, the light ray would travel 9.52 degrees with respect to the z axis away from the origin. If the fiber optic was straight, the light ray would hit the edge of the tube at blahblah distance in the z direction and blahblah distance in the y direction and have hit 80.48 degrees with respect to the surface it hit.
But what if instead the fiber optic was curved? Curved in a circle of known radius? Then the light ray would hit the edge of the tube earlier, correct? And at a different angle with respect to the normal surface of the tube? How would I go about figuring out that angle?? Ugh, I was never good at geometry.
I've included a picture with the post to help make sense of my nonsensical ranting. I want the angle "a" from the red line to the blue line in the righthand picture. NOT the angle from the red to the pink, that is just 80.48.
I hope that makes sense and thanks SOOOOO much to anyone who can help me. Geometry is my weakest math subject, haha.
P.S. sorry the picture is bad quality, i'm impatient :)
But what if instead the fiber optic was curved? Curved in a circle of known radius? Then the light ray would hit the edge of the tube earlier, correct? And at a different angle with respect to the normal surface of the tube? How would I go about figuring out that angle?? Ugh, I was never good at geometry.
I've included a picture with the post to help make sense of my nonsensical ranting. I want the angle "a" from the red line to the blue line in the righthand picture. NOT the angle from the red to the pink, that is just 80.48.
I hope that makes sense and thanks SOOOOO much to anyone who can help me. Geometry is my weakest math subject, haha.
P.S. sorry the picture is bad quality, i'm impatient :)
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