Control and generation of drifting patterns by asymmetrical Fourier filtering

Area of Science:

• Nonlinear optics
• Optical pattern formation

Background:

• Optical feedback systems with Kerr nonlinearity are crucial for studying pattern dynamics.
• Asymmetrical Fourier filtering is a method to control light propagation.

Purpose of the Study:

• To theoretically and experimentally demonstrate one-dimensional drifting patterns.
• To investigate the role of group velocity at the primary instability threshold.

Main Methods:

• Theoretical analysis using analytics and numerics.
• Experimental demonstration in an optical feedback system.
• Application of asymmetrical Fourier filtering in the transverse plane.

Main Results:

• One-dimensional drifting patterns were successfully generated.
• Theoretical calculations and experimental observations showed good agreement.
• The group velocity was found to be non-zero at the primary instability threshold.

Conclusions:

• The system exhibits convective behavior at the primary instability threshold.
• This convective nature leads to the formation of drifting patterns.
• Asymmetrical Fourier filtering is an effective method for generating such patterns.