Phase Shift Upon Total Internal Reflection
A lesser-known aspect of total internal reflection is that the reflected light has an angle dependent phase shift between the reflected and incident light. Mathematically this means that the Fresnel reflection coefficient becomes a complex rather than a real number. This phase shift is polarization dependent and grows as the incidence angle deviates further from the critical angle toward grazing incidence.
The polarization dependent phase shift is long known and was used by Fresnel to design the Fresnel rhomb which allows to transform circular polarization to linear polarization and vice versa for a wide range of wavelengths (colors), in contrast to the quarter wave plate. The polarization dependent phase shift is also the reason why TE and TM guided modes have different dispersion relations.
Read more about this topic: Total Internal Reflection
Famous quotes containing the words phase, shift, total, internal and/or reflection:
“The problem of the twentieth century is the problem of the color-line—the relation of the darker to the lighter races of men in Asia and Africa, in America and the islands of the sea. It was a phase of this problem that caused the Civil War.”
—W.E.B. (William Edward Burghardt)
“The success of great scholars and thinkers is commonly a courtier-like success, not kingly, not manly. They make shift to live merely by conformity, practically as their fathers did, and are in no sense the progenitors of a nobler race of men.”
—Henry David Thoreau (1817–1862)
“If education is always to be conceived along the same antiquated lines of a mere transmission of knowledge, there is little to be hoped from it in the bettering of man’s future. For what is the use of transmitting knowledge if the individual’s total development lags behind?”
—Maria Montessori (1870–1952)
“We have our difficulties, true; but we are a wiser and a tougher nation than we were in 1932. Never have there been six years of such far flung internal preparedness in all of history. And this has been done without any dictator’s power to command, without conscription of labor or confiscation of capital, without concentration camps and without a scratch on freedom of speech, freedom of the press or the rest of the Bill of Rights.”
—Franklin D. Roosevelt (1882–1945)
“The reflection of her here, and then there,
Is another shadow, another evasion,
Another denial. If she is everywhere,
She is nowhere, to him.
But this she has made.”
—Wallace Stevens (1879–1955)