Numerical Analysis of Interference Patterns

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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

Simulated Annealing

parSA

[1]

The Equation for convergence speed is:

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

(1)