Simulating Optical Fringe Patterns with Central Stress Concentration

In the field of optical measurement, simulating fringe patterns with central stress concentration is a crucial method for analyzing material stress distribution. MATLAB enables efficient generation of such simulation images and facilitates extraction of key features.

Fundamental Principles Stress concentration causes changes in optical path difference, manifested as variations in interference fringe density. The central stress region typically displays high-density circular patterns, which can be mathematically modeled through: Phase Field Generation: Creating wrapped phase data based on stress distribution models (e.g., quadratic functions) Fringe Pattern Synthesis: Converting phase information into grayscale interference patterns Feature Extraction: Obtaining continuous phase through phase unwrapping algorithms or extracting centerlines via extremum detection

Implementation Key Points The program typically includes these core processing modules: Phase Modulation: Using meshgrid to generate 2D coordinates and simulating stress gradients through radial distance functions Fringe Rendering: Mapping phase values to cosine intensity distributions with added noise to simulate real environments Unwrapping Processing: Applying quality-guided path following methods to resolve 2π phase jumps Centerline Extraction: Performing sub-pixel localization of fringe extremum points and curve fitting

Application Extensions This method can be easily adapted for: Different stress distribution models (uniaxial/biaxial stress) Dynamic fringe sequence generation Validation analysis with experimental data

By adjusting parameters of the phase function, fringe density and morphology can be controlled, which is valuable for validating optical measurement algorithms. The final output includes sawtooth wrapped phase maps and fringe centerline plots, representing discrete phase distribution and characteristic skeletons of stress fields respectively.