Johannes Semmler, MSc.

    Lehrstuhl Angewandte Mathematik 2
    Cauerstr. 11
    91058 Erlangen
    Germany
    Room: 03.332

    Email: johannes.semmler@fau.de
    Phone: +49 9131 85-67140
    Fax: +49 9131 85-67140

    Projects

    Shape optimization of nanoantennas (2012-present)

    One aim of this project is the application of shape optimization on nanoantannas and nanooptical circuits to enhance its efficiency. By experiments one can see that the shape of a nanoantenna influences its efficiency.

    Details

    Optical nanoantennas are attached to waveguides to couple a laser beam into a nanooptical circuit. By experiments one can see that the shape of a nanoantenna influences its efficiency. Efficiency in this particular case is the ratio between energy of the laser beam and gained energy in the waveguide. Light is described by electric and magnetic fields, and their propagation is modelled by Maxwell's equation. If time-harmonic fields are assumed, Maxwell's equation is reduced to its time-harmonic representation.
    The aim of this project is the application of shape optimization on nanoantannas and nanooptical circuits to enhance its efficiency. Shape optimization is a field of continuous optimization which treats the minimization/maximization of an objective functional under variation of the shape. Furthermore the objective functional depends on a solution of an underlying partial differential equation. Since the incident laser is assumed to be time-harmonic, the PDE is the time-harmonic Maxwell's equation.

    Prof. Dr. Günter Leugering (Erlangen), Opens external link in new windowProf. Dr. Ulf Peschel (Erlangen), Johannes Semmler MSc. (Erlangen), Opens external link in new windowDipl.-Phys. Arian Kriesch (Erlangen)

    Master Thesis

    Volume preserving Shape Optimization for Linear Elasticity and Navier-Stokes Equation (2012)