Ultrafast nanooptics
Optimization, pulse shaping and optical control in nanostructures (Förstner)
We study general aspects of optimization in ultrafast nanooptics
(by pulse-shaping and geometry modification):
•Design and selection of target functions
(e.g. convergence characteristics, experimental equivalence)
(e.g. convergence characteristics, experimental equivalence)
•Reduction of complexity for linear&nonlinear optics:
–separate full light simulation from optimization loop
(exploit superposition; coupled dipoles approach)
(exploit superposition; coupled dipoles approach)
–approximations, heuristics (e.g. based on time-reversal)
–analytic solutions (e.g. phase relations, matrix inversion)
•Comparison of optimization algorithms
(e.g. are expensive global/jumping algorithms like genetic optimization
in general better for interference-dominated rough landscapes?)
(e.g. are expensive global/jumping algorithms like genetic optimization
in general better for interference-dominated rough landscapes?)
•Geometry optimization
–grid based „topological“ modifications using dielectric functions
–volumetric modifications by moving material boundaries
Fig. 1: Nonlinear spatio-temporal control of excitation in a quantum wire.
Publications
Calculus-based optimization of the electron dynamics in nanostructures
Photonics and Nanostructures - Fundamentals and Applications accepted (2011)
Shaping the spatiotemporal dynamics of the electron density in a hybrid metal-semiconductor nanostructure
Optics Letters 34 (2009) 2900