Organic photorefractive materials are a nonlinear medium in which large amounts of information can be recorded and read.
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During the ten years in industry, he worked on MOS/MNOS VLSI technology, wafer scale integration, Ultra-fast optical spectroscopy, nonlinear optics of semiconductors and organic polymers, integrated optics and optoelectronic devices.
In 2000, Professor Mark G. Kuzyk of Washington State University calculated the fundamental limit of the nonlinear-optical susceptibility of molecules.
Nonlinear optics: Frequency conversion efficiency in nonlinear optical materials is proportional to the square (sometimes cubed or more) of the input light intensity.
Rapoport also served on the Russian Academy of Science's Scientific Council for Atomic Spectroscopy and Scientific Council for Coherent and Nonlinear Optics.
Quasi-phase-matching, a technique in nonlinear optics which allows a positive net flow of energy from the pump frequency to the signal and idler frequencies by creating a periodic structure in the nonlinear medium
He is currently Canada Excellence Research Chair in Quantum Nonlinear Optics at the University of Ottawa and on the Faculty at the University of Rochester.
In 2010 he became Professor of Physics and Canada Excellence Research Chair in Quantum Nonlinear Optics at the University of Ottawa.