simulations.experiments.faradaysLaw
Class MovingReceedingImageExperiment

java.lang.Object
  simulations.experiments.BaseExperiment
      simulations.experiments.faradaysLaw.MovingReceedingImageExperiment

public class MovingReceedingImageExperiment

extends BaseExperiment

Receeding Image experiment, consisting of a monopole appearing at t =0 above a conducting plane, using the method of Saslow. This version of the program calculates the magnetic fields using line dipoles and monopoles. This object computes the evolution of the system and also generates an EMSource that computes the E&M fields of the system. The evolution is computed in terms of dimensionless variables and then converted to "real" units.

Version:

1.0

Author:

John Belcher

Nested Class Summary

class

MovingReceedingImageExperiment.Motion Specifies the time derivative of the parmeters which describe the experiment at any time t.

Field Summary

private EMCollection	collection the collection of the three monopoles plus the two line dipoles
MovingReceedingImageExperiment.Motion	equations Define the evolution equations used by the RK4 integrator
double	H H = height of the monople above z = 0
private RungeKuttaIntegration	integrator define the integraton scheme used to numerically integrate the evolution equations in time
Line3DMagneticDipoles	lineminus the line image whose field vanishes for z < 0
Line3DMagneticDipoles	lineplus the line image whose field vanishes for z > 0
MagneticMonopole	mono the real magnetic monopole
MagneticMonopole	monominus the monopole whose field vanishes for z < 0
MagneticMonopole	monoplus the monopole whose field vanishes for z > 0
double	offset offset is an overall time offset before the image charges start moving
double	q0 q0 is the magnetic charge
double	t the time
double	v v is the horizontal speed of the monopole
double	v0 v0 is the vertical speed of the receeding monopoles once they start receeding
double	zplane zplane is the location in z of the conducting thin sheet

Fields inherited from class simulations.experiments.BaseExperiment

eps, FieldMotionType, FieldType, FluidFlowSpeed, Fnorm, Fpower, numberSmallSteps

Constructor Summary

MovingReceedingImageExperiment(double H, double q0, double v0, double v, double zplane, double offset)
Constructs an instance of the experiment using the given parameters.

Method Summary

void	ConstructEMSource() Constructs the EMCollection representing the experiment consisting of the three monopoles, the real monopole and the two receeding image monopoles
void	Evolve(double dt) Evolves the experiment by a time step "dt" using an RK4 integrator by taking numberSmallSteps between t and t + dt, for accuracy.
void	Evolve(double dt, double maxStep) Evolve the experiment by a time step "dt" using an integrator.
BaseObject	getEMSource() An EMSource that represents the current experimental state that can be used to compute the current E&M fields.
double	getFlowSpeed(Vec3 r, Vec RegionFlow) Method to find the flow speed in a given region when we are determining that speed according to region.
double	getHue(double TargetHue, Vec3 r, Vec RegionColor) Method to find the hue in a given region when we are coloring according to region (Color Mode 4).

Methods inherited from class java.lang.Object

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

Field Detail

H

public double H

H = height of the monople above z = 0

t

public double t

the time

offset

public double offset

offset is an overall time offset before the image charges start moving

zplane

public double zplane

zplane is the location in z of the conducting thin sheet

q0

public double q0

q0 is the magnetic charge

v0

public double v0

v0 is the vertical speed of the receeding monopoles once they start receeding

v

public double v

v is the horizontal speed of the monopole

mono

public MagneticMonopole mono

the real magnetic monopole

monoplus

public MagneticMonopole monoplus

the monopole whose field vanishes for z > 0

monominus

public MagneticMonopole monominus

the monopole whose field vanishes for z < 0

lineplus

public Line3DMagneticDipoles lineplus

the line image whose field vanishes for z > 0

lineminus

public Line3DMagneticDipoles lineminus

the line image whose field vanishes for z < 0

collection

private EMCollection collection

the collection of the three monopoles plus the two line dipoles

equations

public MovingReceedingImageExperiment.Motion equations

Define the evolution equations used by the RK4 integrator

integrator

private RungeKuttaIntegration integrator

define the integraton scheme used to numerically integrate the evolution equations in time

Constructor Detail

MovingReceedingImageExperiment

public MovingReceedingImageExperiment(double H,
                                      double q0,
                                      double v0,
                                      double v,
                                      double zplane,
                                      double offset)

Constructs an instance of the experiment using the given parameters.

Parameters:

H - the height of the monopole above z = 0

offset - the frame offset before image charges begin moving

q0 - the magnetic charge

v - the horizontal speed of the monopole

v0 - the speed of the receeding image

zplane - the height of the conducting plane above z = 0

Method Detail

ConstructEMSource

public void ConstructEMSource()

Constructs the EMCollection representing the experiment consisting of the three monopoles, the real monopole and the two receeding image monopoles

Specified by:

ConstructEMSource in class BaseExperiment

getEMSource

public BaseObject getEMSource()

An EMSource that represents the current experimental state that can be used to compute the current E&M fields. The real monopole is at rest at (0,0,H), the two image dipoles are initially at rest at (0,0,+H) (imageminus) and (0,0,-H) (imageplus) and then start moving up (imageminus) and up (imagrminud) the z-axis at frames > offsett

Specified by:

getEMSource in class BaseExperiment

Evolve

public void Evolve(double dt,
                   double maxStep)

Evolve the experiment by a time step "dt" using an integrator. The maximum integrator step size allowed is "maxStep". The state of the EMSource representing the system is updated to reflect the change.

Parameters:

maxStep - the maximum step allowed

dt - the time step

Evolve

public void Evolve(double dt)

Evolves the experiment by a time step "dt" using an RK4 integrator by taking numberSmallSteps between t and t + dt, for accuracy.

Specified by:

Evolve in class BaseExperiment

getHue

public double getHue(double TargetHue,
                     Vec3 r,
                     Vec RegionColor)

Method to find the hue in a given region when we are coloring according to region (Color Mode 4).

Specified by:

getHue in class BaseExperiment

Parameters:

TargetHue - This is the target hue from the renderer.

r - This is the vector postion of the point in the image.

RegionColor - This is the varous hues for the regions.

Returns:

The hue for the part of the image map at r.

getFlowSpeed

public double getFlowSpeed(Vec3 r,
                           Vec RegionFlow)

Method to find the flow speed in a given region when we are determining that speed according to region. This method is used when we have set experiment.FieldMotionType to one of either Constants.FIELD_MOTION_VREFIELD or Constants.FIELD_MOTION_VRBFIELD.

Specified by:

getFlowSpeed in class BaseExperiment

Parameters:

r - This is the vector postion of the point in the image.

RegionFlow - This is the flow speeds for the regions.

Returns:

The flow speed for the part of the image map at r.