Schwarz-Hora Effect: Publications & Discussions

[HeinrichHora]

You have discussions about the Schwarz-Hora effect. I please may give attention to the following publications about this topic and shall be pleased to follow up comments or questions.

Heinrich Hora and Peter H. Handel. Kapitza-Dirac effect with lasers and non-resonant interaction for quantum modulation of electron beams (Schwarz-Hora effect) Applied Physics Letters 102, 141119/1-4 (2013).

H. Hora and P. H. Handel. Kapitza-Dirac effect and nonresonant nonlinear quantum interaction of laser and electron beams. in High Power, high energy and hig-intensity laser technology and research using extreme light:entering new frontiers with petawatt-class lasers J. Hein, G. Korn and L.O. Silva eds. Proceedings of SPIE Vol. 8780, paper 87801L /1-9.

 

[Heinrich Hora]

Further summary about the ;position to the effect

Kapitza-Dirac effect for clarification of Schwarz-Hora effect (Appl. Phys. Letters, 102 (2013) 141119)After several years of questions about the experiment of Schwarz, it should be stated how the final experimental proof of the Kapitza-Dirac (KD) effect is the basis for clarification of the Schwarz-Hora (SH) effect. Schwarz had measured the second order long wavelength beating (against various theories) which exactly confirmed the few years later published most sophisticated theory of Sir Rudolf Peierls about his solution of the Abraham-Minkowski problem. This is a mutual confirmation of the results of Peierls and of the many years developed sophisticated experimental results of Schwarz.

To the question of a repetition of SH, this was done very precisely by the sophisticated measurements of Andrick & Langhans and of Weingartshofer et al. who carefully avoided to mention their alternative proof of SH. The initial motivation of Schwarz was from discussions with Denis Gabor to show the analogy of the optical waves with the Schrödinger-waves of electrons. I had to convince Schwarz that there is a basic difference between these waves in second order which fact I could use to elaborate a non-approximative, exact derivation of the Goos-Hänchen effekt (Optik 17 (1960) 409; J.Opt Soc. Am. 61 (1971) 1640) for matter waves. This difference was seen also in the second order beating for electrons in contrast to photons.

Schwarz’s very sophisticated exact measurement of the second order beating was just the success for the mutual confirmation of Peierls’ with SH what Schwarz could not know in1970.

The merit of Weingartshofer et al. is to show without having the intention to support SH, that their measurements about the dependence of the electron modulation on the laser intensity showed exactly that theirs and Schwarz’s experiments were precisely in the quantum range against the classical range with the exact visible measurement of the theoretically (SH) predicted threshold intensity for the correspondence principle of electromagnetic interaction. This separation by the threshold is directly seen and explains the drastic difference in microwave amplification in the experiments of Ben Arieh et al (54 (1985) 1020) and Palmer et al. (Appl. Phys. Lett. 42 (1983) 1011). H.Hora