Recent advances on non-reciprocal light manipulation from dynamic modulation

We discuss some of our recent works in understanding optical reciprocity without the use of magneto-optics. A key objective for optical non-reciprocal device is to provide optical isolation. We show that a large class of nonlinear optical isolators in fact is constraint by a dynamic reciprocity, and therefore cannot provide complete optical isolation. We also discuss topological effects in dynamic-modulation-induced optical non-reciprocity.