Appreciating the principle of Non-interaction of waves (NlW-principle) by modeling Talbot diffraction patterns at different planes

摘要

We present an approach to demonstrate the Non-interaction of Waves (NlW)-principle by showing that dark fringes in the near-field Talbot diffraction patterns are not devoid of energy. We believe that a detector is simply incapable of absorbing any energy at the dark fringe locations simply because the resultant of the induced stimulations on a local detecting dipole due to all the E-vectors is zero. The joint stimulation is strongest at the bright fringe locations. The amplitude (& hence potentially detectable energy) flow through the "dark fringe locations" is demonstrated by obstructing the "bright fringe" locations at the half-Talbot plane with an identical grating that generated this diffraction image. Then, by propagating the transmitted complex amplitudes through the dark fringes, we would like to show that the Talbot plane can still receive more energy than that could have been recorded out of those same dark fringe locations at the half Talbot plane.