simulations.objects
Class MovingRecedingImagePotentialBelow

java.lang.Object
  simulations.objects.BaseObject
      simulations.objects.MovingRecedingImagePotentialBelow

public class MovingRecedingImagePotentialBelow

extends BaseObject

MovingRecedingImagePotentialBelow. This BaseObject calculates the non-relativistic magnetic fields below a thin conducting plane due to a moving magnetic monopole a distance H above the plane, following the analogous formula for the potential there given in equation (65) of Saslow Am J Phys 60 (8) 693 (1992) or equation (8) of Liu and Belcher 2007. . Given the potential we compute the fields using numerical differentiation

Field Summary

protected static double	Bfactor mhu naught over 4 pi, the overall multiplicative constant
double	H H = height of the monople above 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 receding
double	zplane zplane is the location in z of the conducting thin sheet

Constructor Summary

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

Method Summary

Vec3	Bfield(Vec3 x, Vec3 B) the magnetic field of a non-relativistic moving magnetic monopole in the lower half plane
Vec3	Efield(Vec3 x, Vec3 E) the electric field of a moving monopole, which currently we set to zero
double	Potential(Vec3 x, double potential) the potential of a moving monopole in the upper halfplane
java.lang.String	toString() writes properties of the point charge to a string

Methods inherited from class simulations.objects.BaseObject

Bfield, Efield, Evolve, Pfield, Pfield

Methods inherited from class java.lang.Object

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

Field Detail

Bfactor

protected static double Bfactor

mhu naught over 4 pi, the overall multiplicative constant

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 receding

v

public double v

v is the horizontal speed of the monopole

Constructor Detail

MovingRecedingImagePotentialBelow

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

Constructs an instance of the object 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

Bfield

public Vec3 Bfield(Vec3 x,
                   Vec3 B)

the magnetic field of a non-relativistic moving magnetic monopole in the lower half plane

Specified by:

Bfield in class BaseObject

Parameters:

x - the position of the observer

B - the magnetic field at the position of the observer

Returns:

B the magnetic field

Efield

public Vec3 Efield(Vec3 x,
                   Vec3 E)

the electric field of a moving monopole, which currently we set to zero

Specified by:

Efield in class BaseObject

Parameters:

x - the position of the observer

E - the electric field at the observer's position if the monopope is at (0,0,H) (calculated)

Returns:

zero

Potential

public double Potential(Vec3 x,
                        double potential)

the potential of a moving monopole in the upper halfplane

Parameters:

x - the position of the observer

potential - the potential at the observer's position if the monopope is at (0,0,H) moving at velocity (v,0,0)

toString

public java.lang.String toString()

writes properties of the point charge to a string