Wavefronts.jl documentation

retrievephase(intensity0, intensity1, intensity2, intensity3; correct_aberrations, mask)

Basically compose rawphase and unwrapphase. If correct_aberrations is given, tries to correct the given aberrations with the given mask.

See also: rawphase, unwrapphase, correct

rawphase(intensity0, intensity1, intensity2, intensity3)

Compute the raw phase from four intensity of interference pattern. The reference in the pattern of intensity intensityi is assumed to be shifted of π/2.

See also: unwrapphase, retrievephase

unwrapphase(wrappedphase)

Unwrap the phase. The method used is inspired by the Standard Experiment Laboratory script from the MSc in Optics and Photonics at Imperial College London. The input is typically the output of rawphase.

See also: rawphase, retrievephase

correct(aberration, data; mask=(x,y)->1)

Correct the given aberration in the data by projecting the data on the aberration.

See also: project

project(aberration, data; mask=(x,y)->1)

Project the data onto the Zernike polynomial corresponding to the aberration in order to get the fitting Aberration. A mask can be used to fit only in certain parts of the data (typically usefull if your interference pattern is only relevant in a circular region). The coordinates are assumed to be normalized such that (x,y) ∈ [-1;1]².

See also: correct

intensity(aberration, coordinates=:cartesian; mask=(x,y)->1)

Creates a function mapping the intensity in the given coordinates system (:cartesian or :polar). This is equivalent of building two Wavefront, one with no aberration and the other with the given aberration.

See also: phase, amplitude

intensity(wavefront)

Create a function mapping the intensity in the coordinates of the wavefront.

See also: field, amplitude, phase

intensity(wavefront, reference)

Create a function mapping the intensity of the interference pattern of the wavefront with the reference. Both should be in the same coordinate system.

See also: field, amplitude, phase

field(wavefront)

Create a function mapping the field in the coordinates of the wavefront.

See also: intensity, amplitude, phase

phase(aberration, coordinates=:cartesian)

Create a function mapping the phase of the aberration in the given coordinates system (:cartesian or :polar).

See also: intensity, amplitude

phase(wavefront)

Create a function mapping the phase of the wavefront.

See also: intensity, amplitude, field

amplitude(wavefront)

Create a function mapping the amplitude of the wavefront.

See also: intensity, field, phase

circ(x,y)

Circular mask of radius 1.

Represents an aberration. This uses Zernike polynomials.

See also: Piston, Tilt, Tip, Defocus, ObliqueAstigmatism, VerticalAstigmatism, HorizontalComa, VerticalComa, ObliqueTrefoil, VerticalTrefoil, Spherical, AddAberration, Astigmatism, Coma, Trefoil

Piston aberration.

Tilt aberration.

Tip aberration.

Defocus aberration.

ObliqueAstigmatism aberration.

VerticalAstigmatism aberration.

HorizontalComa aberration.

VerticalComa aberration.

ObliqueTrefoil aberration.

VerticalTrefoil aberration.

Spherical aberration.

The addition of two aberrations. It is created when + operator is used on two Aberration.

Astigmatism aberration.

Coma aberration.

Trefoil aberration.

Represents a wavefront.

Represents the addition of a two wavefronts. It is created when + operator is used on two Wavefront.