Effects of systematic phase errors on phase-only correlation

Area of Science:

• Optics and Photonics
• Information Processing

Background:

• Phase-only optical correlators are susceptible to performance degradation.
• Deviations from ideal matched filter phase, caused by spatial light modulators and interface circuits, introduce systematic phase errors.

Purpose of the Study:

• To model the impact of systematic phase errors on the correlation-peak amplitude in phase-only optical correlators.
• To develop a predictive model for correlation performance under non-ideal phase conditions.

Main Methods:

• Development of a mathematical model relating correlation-peak amplitude to phase error.
• Approximation of correlation peak as a product of error phasors and average filter plane amplitude.
• Validation of the model using computer simulations with gray-scale images.

Main Results:

• The correlation peak amplitude is reasonably approximated by the developed model.
• The model accurately predicts trends observed in computer simulations.
• Systematic phase errors significantly impact correlator performance.

Conclusions:

• The proposed model provides a valuable tool for understanding and predicting the effects of phase errors in optical correlators.
• The findings can guide the design of more robust optical processing systems.
• Minimizing phase errors is crucial for optimizing the performance of phase-only optical correlators.