Mode visualization with Java applets

Is possible to perform simulation of the differential wave equation for electric and magnetic fields in a rectangular 3-D waveguide and cavities. We shall see that in the TM modes the $B_z$ always vanishes and that in TE mode $E_z=0$ . In this figures we illustrate different quantities that act on the particle transport for waveguides. I performed this simulation with a Java applet. The phases of the time-dependent field are showed with colors: blu for positive, red for negative.

Figura: Mixed mode in a cubic cavity. Only $z$ components are showed. Observe that the TE$_{01}$ mode creates magnetic field which could deflect particles.

Figura: Intensity of electric and magnetic field in a rectangular waveguide. TM$_{010}$ mode for both fields.

Figura: Transverse component of electric and magnetic field in rectangular waveguide. See on the right side, $B_z$ is always zero. This is useful to prevent particle deflection on the sides of the waveguide.

Very complicated summation of modes are possible in this applet but for our purpose I analyzed only the TM$_{010}$