optics.analysis
Class OpticalZernike

java.lang.Object
  jfitter.FitFunction
      jfitter.BasisFunction
          jfitter.BasisFunction2d
              optics.analysis.OpticalExpansion
                  optics.analysis.OpticalZernike

All Implemented Interfaces:

SurfaceFunction

public class OpticalZernike
extends OpticalExpansion

Class implement OpticalZernike expansion as a set of two-dimensional basis functions. that can be fitted using the jfitter fitting class.

The zernikes are implement to 6th order (36 components), as defined by James Wyant,

Field Summary

static int	MAX_OPTICAL_ZERNIKE Maxinum number of zernike components
static int	MAX_ORDER Maximun order supported
static String[]	zernikeName Name of the first 36 basis functions

Fields inherited from class optics.analysis.OpticalExpansion

radius

Fields inherited from class jfitter.FitFunction

coef, order, sigma

Constructor Summary

OpticalZernike(int order)
Form a Zernike expansion to specified order of unit radius.

OpticalZernike(int order, double radius)
Form a Zernike expansion to specified order and maximum radius

Method Summary

jfftw.Complex	derivative(int i, double x, double y) Method to get the derivative at a complex
double	evaluate(int i, double x, double y) Method to evaluate the ith complment at x,y.
String	getName(int i) Method get the name of the specifed component.
static void	main(String[] args) Test Method to fill a WavefrontImage with a single OpticalZernike component.

Methods inherited from class optics.analysis.OpticalExpansion

getMaxRadius, getValue, setMaxRadius, toString

Methods inherited from class jfitter.BasisFunction2d

evaluate, evaluate, evaluate, evaluate

Methods inherited from class jfitter.BasisFunction

evaluate

Methods inherited from class jfitter.FitFunction

addCoefficents, addCoefficient, difference, evaluate, getCoefficient, getCoefficients, getOrder, getSigma, getSigmas, setCoefficient, setCoefficients, setOrder, setSigma

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

MAX_OPTICAL_ZERNIKE

public static final int MAX_OPTICAL_ZERNIKE

Maxinum number of zernike components

See Also:

Constant Field Values

MAX_ORDER

public static final int MAX_ORDER

Maximun order supported

See Also:

Constant Field Values

zernikeName

public static String[] zernikeName

Name of the first 36 basis functions

Constructor Detail

OpticalZernike

public OpticalZernike(int order,
                      double radius)

Form a Zernike expansion to specified order and maximum radius

Parameters:

order - the expansion order (max of 7)

radius - maximum radius

OpticalZernike

public OpticalZernike(int order)

Form a Zernike expansion to specified order of unit radius.

Parameters:

order - the expansion order (max of 7)

Method Detail

getName

public String getName(int i)

Method get the name of the specifed component. Valid for the first 36 componets.

Specified by:

getName in class OpticalExpansion

Parameters:

i - the coefficient index

Returns:

String name of the coefficent.

evaluate

public double evaluate(int i,
                       double x,
                       double y)

Method to evaluate the ith complment at x,y. All orther calls are defined in the super classes.

Specified by:

evaluate in class jfitter.BasisFunction2d

Parameters:

i - the element

x - the x value

y - the y value

derivative

public jfftw.Complex derivative(int i,
                                double x,
                                double y)

Method to get the derivative at a complex

main

public static void main(String[] args)

Test Method to fill a WavefrontImage with a single OpticalZernike component.