For a mirror moving parallel to its surface: (1) the incident ray, the reflected ray, and the surface normal remain coplanar, (2) the angle of reflection equals the angle of incidence, and (3) the frequency of the reflected light equals the frequency of the incident light. This follows from a Lorentz transformation from the rest frame of the mirror to the lab frame. However, if the frequency of the light in the rest frame differs significantly from that in the lab frame, the reflection may not behave as it would if the mirror were not moving, e.g. X-ray diffraction might appear. -- Gene From: meekerdb <meekerdb@verizon.net> To: math-fun <math-fun@mailman.xmission.com> Sent: Thursday, March 5, 2015 1:30 PM Subject: Re: [math-fun] newton rotating liquid mirror If it spins fast enough there will be shifts due the angle of incidence differing from the angle of reflection http://physics.weber.edu/galli/RelativisticReflection.pdf This would distort any image in the mirror. Brent On 3/5/2015 12:36 PM, Dan Asimov wrote:
Suppose instead we have a solid, *flat* mirror that we rotate in its own plane about the center of the mirror.
Does this affect how it will reflect light, maybe in a very subtle way?
--Dan _______________________________________________