* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Physics 422 - Spring 2015 - Assignment #5
Super-resolution microscopy wikipedia , lookup
Schneider Kreuznach wikipedia , lookup
Ellipsometry wikipedia , lookup
Confocal microscopy wikipedia , lookup
Optical flat wikipedia , lookup
Nonlinear optics wikipedia , lookup
3D optical data storage wikipedia , lookup
Surface plasmon resonance microscopy wikipedia , lookup
Silicon photonics wikipedia , lookup
Birefringence wikipedia , lookup
Optical coherence tomography wikipedia , lookup
Reflecting telescope wikipedia , lookup
Magnetic circular dichroism wikipedia , lookup
Thomas Young (scientist) wikipedia , lookup
Optical tweezers wikipedia , lookup
Image stabilization wikipedia , lookup
Interferometry wikipedia , lookup
Photon scanning microscopy wikipedia , lookup
Lens (optics) wikipedia , lookup
Ultraviolet–visible spectroscopy wikipedia , lookup
Atmospheric optics wikipedia , lookup
Nonimaging optics wikipedia , lookup
Anti-reflective coating wikipedia , lookup
Retroreflector wikipedia , lookup
Physics 422 - Spring 2015 - Assignment #5 Due Wednesday, April 1st 1. Use Fermat’s principle to derive the law of reflection, sin θ1 = sin θ2 , using the geometry shown below and the requirement that the optical path length between points A and B be stationary with respect to x. d A B y θ1 θ2 x d−x 2. Use Fermat’s principle to derive the law of refraction, n1 sin θ1 = n2 sin θ2 , using the geometry shown below and the requirement that the optical path length between points A and B be stationary with respect to x. d A y n1 θ1 d−x x θ2 n2 B 3. (a) Calculate the distance to the object focal point, fo , and the image focal point fi for a single spherical concave refracting surface with radius of curvature R = −10 cm, made of a material with index of refraction n2 = 1.5, and with air (n1 = 1) on the object side. (b) Calculate fo and fi for the case where the air is replaced with water (n1 = 1.33). 4. Two positive thin lenses with focal lenghts f1 and f2 are placed a distance d = f1 + f2 apart. If light of intensity I0 is incident on the system along the optical axis from very far away, ie., so → ∞, what is the intensity of the light emerging from the second lens?