Fractional Optics

Fractional calculus is the theory of differentiation and integration to arbitrary fractional or even complex order. Applying the tools of fractional calculus allows us introduce new fractional-order solutions to the paraxial wave equation that can be regarded as intermediate solutions between the known integral-order ones.
Fractional Optics
Novel Beams

Novel Beams

Nondiffracting wave fields constitute a novel class of optical fields that possess interesting properties. Our work in this field includes the theoretical and experimental study of the propagation dynamics of the invariant optical fields in general, and particularly of the Mathieu and parabolic families. This has been our most prolific field, and all of our members and alumni have done some work on it.

Numerical Methods

Special functions and Integral transforms are often encountered in optics, and the evaluation of these functions has proven to be a formidable task, emphasizing the need for more efficient computational routines. Several of our members have been involved in developing different algorithms to perform the computation of these functions in a fast, accurate and more efficient way.
Numerical Methods
Optical Solitons

Optical Solitons

Nonlocality arises naturally in many different physical systems, such as those where there are long-range forces, many-body interactions and heat transport. We have been engaged in various projects in the complex and exciting field of nonlocal nonlinear solitons, and established several collaborations with the Nonlinear Physics Centre at the Australian National University, one of the top research groups in this field.