Rogue waves in disordered 1D photonic lattices

Area of Science:

• Nonlinear physics
• Photonics
• Wave phenomena

Background:

• Photonic lattices are crucial for controlling light propagation.
• Disorder in lattices can lead to complex wave dynamics.
• Rogue waves (RW) are extreme, unpredictable wave events.

Purpose of the Study:

• Investigate Rogue wave (RW) phenomena in disordered 1D photonic lattices.
• Analyze the impact of diagonal and non-diagonal disorder on RW formation.
• Compare numerical simulations with experimental results.

Main Methods:

• Theoretical study of Rogue waves (RW) in 1D photonic lattices.
• Numerical simulations incorporating disorder in coupling constants.
• Experimental realization using femtosecond laser-written waveguide arrays.
• Data filtering techniques for analyzing wave events.

Main Results:

• Rogue waves (RW) emerge from the superposition of extended and localized linear waves.
• Weak disorder is a key condition for the generic presence of RW.
• Numerical and experimental results show strong agreement.
• Disorder originates from random waveguide distribution affecting coupling constants.

Conclusions:

• Rogue waves (RW) are a generic feature of 1D disordered photonic lattices under weak disorder.
• The superposition of diverse linear wave states drives RW formation.
• Experimental validation confirms the theoretical predictions for RW in these systems.