The Polarizing Security Window · AI Generator #GEN-ADCD328B
Physics · optics
Problem
A high-security building uses a special window design to prevent surveillance from outside while maintaining visibility from inside. The window consists of two parallel glass plates separated by air, where the outer plate has a polarizing filter. Light from outside must pass through the polarizing filter, reflect off the inner glass surface, and return through the polarizing filter to reach an external observer.
The inner glass plate has refractive index n=1.50 and is oriented so that light hits it at Brewster's angle when traveling horizontally from the polarizing filter. An external spy attempts to observe through the window using unpolarized light.
(a) What is the angle of incidence (measured from the normal) at the inner glass surface?
(b) What fraction of the original unpolarized light intensity successfully reflects back to the external observer?