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WITHDRAWN: Non-Uniform Diffraction Pattern of Grating Experiments---Rotating Grating Around Three Axes (3)

hui peng

Published Jan 26, 2022• 0 citations
Publisher

Abstract

Abstract The orientation-dependence of the interference/diffraction patterns of the 1D-double slit, 2Dcross-double slit, 1D-grating and 2D-cross-grating experiments have been studied experimentally andtheoretically. The universal phenomena of the curved, expanded, inclined and mirror-symmetricpattens were reported. However, the above experiments were limited to certain orientations, namelyrotating the diaphragm/grating around either one axis or two axes. Here we show that, for certainorientations by rotating the grating around 3 axes, the spacings between adjacent diffraction orders arenon-uniform. Namely, from “one end” of the pattern to “other end”, the spacings between adjacentdiffraction orders gradually increase. This extraordinary phenomenon challenges the existing theories.The above observed phenomena provide the comprehensive phenomena to theoretical study of thegrating experiments. We suggest that the complete mathematical model should contain three rotationangles as parameters and should be able to describe the phenomena of the non-uniform-spacing,curved, expanded, inclined and mirror-symmetric diffraction patterns consistently.

DOI
10.21203/rs.3.rs-1281907/v2

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Abstract The orientation-dependence of the interference/diffraction patterns of the 1D-double slit, 2Dcross-double slit, 1D-grating and 2D-cross-grating experiments have been studied experimentally andtheoretically. The universal phenomena of the curved, expanded, inclined and mirror-symmetricpattens were reported. However, the above experiments were limited to certain orientations, namelyrotating the diaphragm/grating around either one axis or two axes. Here we show that, for certainorientations by rotating the grating around 3 axes, the spacings between adjacent diffraction orders arenon-uniform. Namely, from “one end” of the pattern to “other end”, the spacings between adjacentdiffraction orders gradually increase. This extraordinary phenomenon challenges the existing theories.The above observed phenomena provide the comprehensive phenomena to theoretical study of thegrating experiments. We suggest that the complete mathematical model should contain three rotationangles as parameters and should be able to describe the phenomena of the non-uniform-spacing,curved, expanded, inclined and mirror-symmetric diffraction patterns consistently.
Abstract The orientation-dependence of the interference/diffraction patterns of the 1D-double slit, 2D-cross-double slit, 1D-grating and 2D-cross-grating experiments have been studied experimentally and theoretically. The universal phenomena of the curved, expanded, inclined and mirror-symmetric pattens were reported. However, the above experiments were limited to certain orientations, namely rotating the diaphragm/grating around either one axis or two axes. We show that, for certain orientations by rotating the grating around 3 axes, the spacings between adjacent diffraction orders are non-uniform. From the “starting order” to the “ending order”, the spacings between adjacent diffraction orders gradually increase. This extraordinary phenomenon challenges the existing theories.The above observed phenomena provide the comprehensive information to theoretical study of the double slit/grating experiments. We suggest that the complete mathematical model should contain three rotation angles as parameters and should be able to describe the phenomena of the non-uniform-spacing, curved, expanded, inclined and mirror-symmetric patterns consistently.
Abstract The orientation-dependence of the interference/diffraction patterns of the 1D-double slit/1D- grating and 2D-cross-double slit/2D-cross-grating experiments have been studied experimentally and theoretically. However, the above experiments were limited to certain orientations, namely rotating around either one axis or two axes. In this article, the 3-axis-rotation apparatus is introduced, which can rotate CW and CCW the 1D-double slit/2D-cross-double slit and 1D-grating/2D-cross-grating, respectively, 0 0 -360 0 around three axes independently and sequentially. By this apparatus, the orientation-dependence of the diffraction patterns is systematically studied. The experiments are performed straightforwardly and intuitively. We show the mirror-symmetry of the diffraction patterns of the 2D-cross-grating for certain orientations. Then we show that the photons, before landing on the detector/screen, behave as particles. The above observed phenomena provide the comprehensive information to theoretical study of the double slit/cross-grating experiments. We suggest that the complete mathematical model should contain three rotation angles as parameters. Furthermore, the phenomena have potential applications.
Abstract The orientation-dependence of the interference/diffraction patterns of the 1D-double slit/1D-grating and 2D-cross-double slit/2D-cross-grating experiments have been studied experimentally and theoretically. However, the above experiments were limited to certain orientations, namely rotating around either one axis or two axes. In this article, the 3-axis-rotation apparatus is proposed/made, which can rotate the 1D-double slit/2D-cross-double slit and 1D-grating/2D-cross-grating, CW and CCW respectively, 0 0 -360 0 around three axes independently and sequentially. By this apparatus, the orientation-dependence of the patterns is systematically studied. Moreover, the experiments can be performed easily. Then we show that the photons, before landing on the detector/screen, behave as particles. The above observed phenomena provide the comprehensive information to theoretical study of the double slit/grating experiments. We suggest that the complete mathematical model should contain three rotation angles as parameters. Furthermore, the phenomena have potential applications.
Abstract Young’s double slit experiments represent the mystery of quantum mechanics. To explore the mystery, varieties of the single slit, double slit, cross-double slit and 1D-grating experiments were performed, which show the universal phenomena that the interference/diffraction patterns are curved, expanded and inclined. In this article, we show novel phenomena that the diffraction patterns of the 2D-cross-grating experiments can be curved, expanded and inclined simultaneously and continuously. Those experiments provide comprehensive data for developing/testing a theoretical model.
Abstract Young’s double slit experiments represent the mystery of quantum mechanics. To explore the mystery, varieties of the single slit, double slit, cross-double slit and 1D-grating experiments were performed, which show the universal phenomena that the interference/diffraction patterns are curved, expanded and inclined. In this article, we show novel phenomena that the diffraction patterns of the 2D-cross-grating experiments can be curved, expanded and inclined simultaneously and continuously. Those experiments provide comprehensive data for developing/testing a theoretical model.
Abstract The orientation-dependence of the diffraction patterns of the transmission grating experiments have been systematically studied by rotating the 1D- and 2D-gratings around three axes. There are two kinds of gratings, transmission and reflective gratings. In this article, we show the novel phenomena: (1) the transmission grating creates simultaneously both the transmission diffraction pattern and the reflective diffraction pattern respectively, namely the transmission grating functions as both a transmission grating and a reflective grating in one experiment; (2) the reflective pattern is non-uniform, expanded, curved and inclined when the grating rotates, namely the reflective pattern has the same characteristics as that of the transmission patten in the same transmission grating experiment. We refer both as the “twin patterns” in the same experiment. We suggest to do the grating experiment with the experimental setups in this article by emitting photons one at a time.