Information transfer via temporal convolution in nonlinear optics

The convolution theorem for nonlinear optics

We have expressed the nonlinear optical absorption of a semiconductor in terms of its linear spectrum. We determined that the two-photon absorption coefficient in a strong DCelectric field of a direct gap semiconductor can be expressed as the product of a differential operator times the convolution integral of the linear absorption without a DC-electric field and an Airy function. We have appli...

Spectral and temporal holograms with nonlinear optics.

In this Letter we show how encoding techniques for computer-generated holograms may be used to arbitrarily shape a nonlinearly generated spectrum and consequently the temporal shape by modulating the quadratic nonlinear coefficient. We give examples of a modulation pattern and a simple setup that can generate high-order Hermite-Gauss and Airy functions through difference-frequency generation fr...

Nonlinear Optics Basics: Kramers-Krönig Relations in Nonlinear Optics

Phase-matched nonlinear optics via patterning layered materials.

The ease of integration and a large second-order nonlinear coefficient of atomically thin layered two-dimensional (2D) materials presents a unique opportunity to realize second-order nonlinearity in a silicon compatible integrated photonic system. However, the phase-matching requirement for second-order nonlinear optical processes makes the nanophotonic design difficult. We show that by nano-pa...

Chaotic communication via temporal transfer entropy.

We propose a new perspective on communication using chaos. A binary message is encoded into the temporally causal relations on a coupled maps ring of N chaotic nodes. From the analysis of temporal transfer entropy, the masked information can be recovered from transmitted signals at the receiver. The communication scheme has been demonstrated to be robust against external noise and some traditio...