Regensburg 2019 – wissenschaftliches Programm
DY 37.4: Vortrag
Mittwoch, 3. April 2019, 16:15–16:30, H6
Analytical Fresnel laws at convex and concave non-planar interfaces from a transfer matrix approach — •Sebastian Luhn and Martina Hentschel — Institute for Physics, Group for Theoretical Physics II / Computational Physics, Technische Universität Ilmenau Weimarer Str. 25, 98693 Ilmenau, Germany
Fresnel laws, the quantitative information of the amount of light reflected from a plane wave in dependence on its angle of incidence, are at the core of ray optics at planar interfaces. However, these formulae do not hold at curved interfaces and deviations are appreciable when wavelength and radius of curvature are of similar order. This is of particular importance for optical microcavities that play an important role in many modern research fields. Their convexely curved interfaces modify Fresnel's law in a characteristic manner. Most notably, the onset of total internal reflection is shifted to angles larger than critical incidence. Here, we fill the missing bit and derive exact Fresnel laws for concavely curved refractive index boundaries, enabling the exact description of light in complex mesoscopic optical structures that will be important in future nano- and microphotonic applications.