Physics – Mathematical Physics
Scientific paper
2010-07-13
Physics
Mathematical Physics
16 pages, 12 figures, 1 table
Scientific paper
10.1364/OE.19.000933
We report a mathematically rigorous technique which facilitates the optimization of various optical properties of electromagnetic fields. The technique exploits the linearity of electromagnetic fields along with the quadratic nature of their interaction with matter. In this manner we may decompose the respective fields into optical quadratic measure eigenmodes (QME). Key applications include the optimization of the size of a focused spot, the transmission through photonic devices, and the structured illumination of photonic and plasmonic structures. We verify the validity of the QME approach through a particular experimental realization where the size of a focused optical field is minimized using a superposition of Bessel beams.
Baumgartl Joerg
Dholakia Kishan
Kosmeier Sebastian
Mazilu Michael
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