Light Refraction in Optical Phenomena
Explore refraction, Snell's Law, reflections, halos, and more. Learn about Fermat's Principle and how light paths are optimized. Discover the wonders of optical physics.
Light Refraction in Optical Phenomena
E N D
Presentation Transcript
Refraction n1 = 1 1 1 1 2 n2 > 1 2 2 Radius = vT = (c/n)T
Triangle hcg sin 2 = 2/hc Triangle hce sin 1 = 1/hc sin 1 /sin 2 = 1 /2 = (v1/f) / (v2/f) = v1/v2 = (c/n1)/(c/n2) = n2/n1 n1 sin 1 = n2 sin 2 Snell’s Law
n1 sin 1 = n2 sin 2 2=/2 ==> sin c = n2/n1 Water n=1.5 Air n=1. c= 41.80 Reflection refraction
1 2 3 4 Halo
1200 1 2 3 4 Sun Dogs n sin2=sin 1 n sin3=sin 4 2 + 3 = 600 Deflection = 1 + 4 - 600 n=1.33
nred < nblue vred=c/nred > vblue =c/nblue prism
Fermat’s Principle • The path taken by light in travelling from one point to another is such that the time of travel is a minimum
Refraction • Minimize t with respect to x • dt/dx=0 using dL1/dx=x/L1 =sin1 and dL2/dx=(x-d)/L2 = -sin2 • dt/dx=(n1sin 1 - n2 sin 2)/c = 0 Time?