[{"type":"article-journal","title":"On the relative intensity of Poisson\u2019s spot","issued":{"date-parts":[["2017"]]},"volume":"19","issue":"3","page":"033022","container-title":"New journal of physics","DOI":"10.1088\/1367-2630\/aa5e7f","author":[{"family":"Reisinger","given":"T."},{"family":"Leufke","given":"P. M."},{"family":"Gleiter","given":"H."},{"family":"Hahn","given":"H."}],"ISSN":"1367-2630","abstract":"The Fresnel diffraction phenomenon referred to as Poisson\u2019s spot or spot of Arago has, beside its\r\nhistorical significance, become relevant in a number of fields. Among them are for example\r\nfundamental tests of the super-position principle in the transition from quantum to classical physics\r\nand the search for extra-solar planets using star shades. Poisson\u2019s spot refers to the positive on-axis\r\nwave interference in the shadow of any spherical or circular obstacle. While the spot\u2019s intensity is equal\r\nto the undisturbed field in the plane wave picture, its intensity in general depends on a number of\r\nfactors, namely the size and wavelength of the source, the size and surface corrugation of the\r\ndiffraction obstacle, and the distances between source, obstacle and detector. The intensity can be\r\ncalculated by solving the Fresnel\u2013Kirchhoff diffraction integral numerically, which however tends to\r\nbe computationally expensive. We have therefore devised an analytical model for the on-axis intensity\r\nof Poisson\u2019s spot relative to the intensity of the undisturbed wave field and successfully validated it\r\nboth using a simple light diffraction setup and numerical methods. The model will be useful for\r\noptimizing future Poisson-spot matter-wave diffraction experiments and determining under what\r\nexperimental conditions the spot can be observed.","keyword":"Spot of Arago, Fresnel diffraction, surface corrugation, Poisson\u2019s spot, Fresnel\u2013Kirchhoff","kit-publication-id":"1000069033"}]