Experiment 01 This experiment is related to the

Experiment 01 This experiment is related to the transversal confinement and compression of an inhomogeneous electromagnetic beam. The confinement takes place in the x-y plane while the electromagnetic beam is propagating towards the z-direction. The first experiments have to be done with radio beams in frequencies varying from 30 GHz (Mobile Telephones) until 500 GHz (Radio Astronomy), propagating in the defined z-direction. Later experiments will focus on the confinement and compression of electromagnetic radiation in the optical region.

The electromagnetic beam has a Gaussian division in the x-y plane.

The Dynamic Equilibrium Equation (5), expresses the force densities in respectively the x-, the yand the z- direction. The 3-dimensional force density vector equals the vector zero in a perfect equilibrium. - c12 

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( E H )  0 ( ) 0  ()0 H ( H )0 H (H )0 5 t 

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For this experiment 01 a transversal (e.g. Silicium) multi-layered cylinder has to be constructed by Lithography (e.g. ASML offers the equipment for this project) with alternatively layers of NSilicium and P-Silicum. The thickness of the layers in the cylinder in the z-direction has to be exactly equal to the wavelength of the high coherence polarized laser beam.

The second N-P-N-P-N-P-N multi-layered cylinder surrounds the concentric first P-N-P-N-P-N-P cylinder and has opposite layers N- and P-Silicium.

In this way multilayered cylindrical diodes in opposite N-P and P-N directions (layer after layer) have been created. The first layer of the cylinder is connected to the + of a harmonic oscillator and the second layer to the – of the same harmonic oscillator. At t0 the first diode layer is conducting the harmonic signal and the second diode layer is in opposite direction and behaves like an insulator. The third layer is conducting and the fourth layer behaves like an insulator etc. In the center of the first cylinder the highly coherence polarized electromagnetic beam is propagating with the speed of light into the z-direction. Both N-P-N-P-N-P-N multi-layered cylinder and the P-N-PN-P-N-P cylinder are placed concentric to the electromagnetic beam towards the z-direction

In contradiction to the Maxwell Equations, Equation (5) predicts that there will be (alternatively) electric charges in the electromagnetic beam to counterbalance the outward bounded radiation pressure.  0 ( )

- radiation pressure = f inward bounded

 5 

Now a test equipment has been designed to test the new equation (5). Because there is alternatively + and – electric charge division in the inhomogeneous boundaries of the laser beam, it will be possible to confine the electromagnetic beam in the 2-dimensional x-y plane. By generating an extra inward bounded (homogeneous) alternating electric field that travels with the same speed of light along the electromagnetic beam along the inner cylinder, the inward bounded electric force will increase, while the outward bounded radiation pressure will not change. The resulting inward bounding confining electromagnetic pressure will be now larger than the outward bounded radiation pressure. This means that de electromagnetic beam will contract in the x-y plane. In theory it will be possible to generate a resulting electromagnetic beam that leaves the cylinder with a diameter of a single wavelength when the cylinder has a sufficient length and the same frequency of the harmonic high voltage generator has been chosen as the frequency of the electromagnetic beam with a stable phase correlation. In the existing Maxwell theory this experiment will be totally impossible.