Abstract Nonlinear optical effects have enabled numerous applications such as laser frequency conversion, ultrafast electro-optical, and all-optical modulation. Both gaseous bulk media conventionally been used for free-space nonlinear applications, yet they often require complex phase-matching techniques efficient operation may limited bandwidth due to the material absorption. In last decade, m...

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 ...

Contents. x1. The origin and nature of Schrr odinger type approximations. x2. Formulating the ansatz. x3. Equations for the prooles. x4. Solvability of the the proole equations. x5. Convergence towards exact solutions. x6. The quasilinear case.

Most of the experiments performed during this course are perfectly described by the principles of linear optics. This assumes that interacting optical beams (i.e. beams crossing paths) will not affect each other. As the light intensity is increased, however, this assumption no longer holds; we are forced to consider the possibility of nonlinear interactions. Nonlinear optical effects manifest i...