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

Genetic Algorithm

Simulated Annealing

ParSA

Here [1] 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:

$P\left(X_{n}\notin Cost_{min}\right)\approx \left({\frac {K}{n}}\right)^{\alpha }$

(1)

Failed to parse (syntax error): {\displaystyle T=\bar{\Delta C^{(|)}\left(\ln{\frac{m_2}{m_2\chi_0-(1-\chi_0)m_1}\right)^{-1}}

(2)