Difference between the second-Brewster and pseudo-Brewster angles when polarized light is reflected at a...

Area of Science:

• Optics and Photonics
• Materials Science

Background:

• Understanding light polarization behavior at interfaces is crucial in optical applications.
• The pseudo-Brewster angle (phi(pB)) and second-Brewster angle (phi(2B)) describe specific reflectance properties for p-polarized light and reflectance ratios, respectively.

Purpose of the Study:

• To determine the second-Brewster angle (phi(2B)) for all possible complex relative dielectric functions (epsilon) that yield a given pseudo-Brewster angle (phi(pB)).
• To analyze the difference between phi(2B) and phi(pB) as a function of phi(pB) and the argument of the dielectric function (theta).

Main Methods:

• Investigated the reflectance of p-polarized light and the reflectance ratio of p and s polarizations at a dielectric-conductor interface.
• Analyzed the mathematical relationship between the pseudo-Brewster angle, second-Brewster angle, and the complex dielectric function of the interface material.

Main Results:

• The difference between phi(2B) and phi(pB) is zero when theta equals 0 (real positive dielectric function).
• This difference increases monotonically with theta, reaching a maximum as theta approaches 180 degrees (real negative dielectric function).
• The maximum difference {phi(2B)-phi(pB)}(max) is bounded, with an upper limit of 15.701 degrees observed at phi(pB)=28.195 degrees.

Conclusions:

• The study quantifies the angular separation between pseudo-Brewster and second-Brewster angles based on material dielectric properties.
• Findings provide insights into the behavior of polarized light at dielectric-conductor interfaces, relevant for optical system design and material characterization.