This is the Fresnel-Fraunhofer diffraction pattern for a moving linear emitter.

On the left, there is no transverse contraction but the pattern is compressed on the displacement x axis.

On the right, the pattern is also compressed on the x axis according to Lorentz's predictions.

In spite of the Doppler effect, the pattern remains perfectly symmetrical: motion cannot be detected here.

Those diagrams are possible thanks to Mr. Philippe Delmotte's Virtual Aether.

Mr. Delmotte's program is a true virtual wave laboratory: now this is what I call an experience.