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WITHDRAWN: Curved Diffraction Patterns of 2D-Cross-Grating Experiments ---Double Slit Still Has Much to Offer

Huei Peng

Published Nov 11, 2021• 0 citations
Publisher

Abstract

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.

DOI
10.21203/rs.3.rs-1061455/v2

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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.
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 double slit and cross-double slit experiments were performed. In this article, we show novel phenomena that the interference patterns of the double slit/cross-double slit experiments can be curved. The curvatures depend on the orientation of the diaphragms of the double slit/cross-double slit. Those experiments provide comprehensive data for developing/testing a theoretical model.
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.
The significance of Young's double slit experiments was emphasized as "the only mystery [of quantum mechanics]" (Feynman). In this article, we show three novel universal phenomena of the double slit, cross-double slit and grating experiments: (1) the interference patterns can curve; (2) the interference patterns can expand; and (3) the interference patterns created by the tilt double slits can incline to the axis that is perpendicular to the axis the diaphragm rotates around. The directions of the patterns curved towards are determined by how the diaphragm rotates, i.e., clockwise or counterclockwise. To determine the directions, Right-hand rule and Left-hand rule were proposed. The magnitudes of three phenomena depend on two angles: the original angle of the double slit/crossdouble slit/grating on the diaphragm relative to the rotation axis and the angle the diaphragm rotates. We derived the formular for the expansion of the patterns, and the formular for the inclination angle of patterns. The behaviors of photons are determined by: (1) the orientation of the double slit; (2) which axis the diaphragm rotating around; (3) the direction of rotation, i.e., clockwise or counterclockwise; (4) the angle of the rotation. The Feynman's mystery of the double slit is more mysterious.