Nonlinear optics with structured light

The interest in tailoring light all its degrees of freedom is steadily gaining traction, driven by the tremendous developments toolkit for creation, control and detection what now called structured light. Because complexity these optical fields generally understood terms interference, tools have historically been linear elements that create desired superpositions. For this reason, despite long impressive history nonlinear optics, only recently has spatial structure processes come to fore. In review we provide a concise theoretical framework understanding optics context light, offering an overview perspective on progress made, challenges remain.