Numerical Analysis of Interference Patterns

This page is currently a work in progress.

Phase Shifting Technique

 * requires three phase shifted fringe patterns
 * the phase shift must be known
 * carefully controlled conditions must be maintained

Fourier Analysis Method

 * requires carrier frequency, narrow frequency, low noise and open fringes
 * estimates the phase wrapped (via arctan)

Phase-Locked Loop Algorithm

 * computer simulated oscillator (VCO) needed
 * phase error b/w the fringe pattern and the VCO vanishes

Artificial Neural Network Method

 * requires carrier phase
 * non-algorithmic (i.e. must have learning phase)
 * types of learning include: supervised, unsupervised and reinforcement
 * multi-layer: input, output, hidden neurons present

ParSA
Here is the link the the ParSA documentation.

The ParSA (Parallel Simulated Annealing) library is a set of classes written in C++ that can be used to solve optimization problems via a process know as simulated annealing.

The ParSA library contains many different types of

The Equation for convergence speed is:

Where K and $$\alpha$$ are problem specific constants and $$X_n$$ is a solution of length n. Using equation (1) and test runs on smaller problems of lower order, K and $$\alpha$$ can be determined. Along with some suggestions provided in the ParSA documentation, progress can be made towards finding higher quality solutions at a much faster rate.

The equation for warming temperature in the Aarts scheduler: