FRLP - CIENCIAS BÁSICAS

Permanent URI for this collectionhttp://48.217.138.120/handle/20.500.12272/9849

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Author: search.filters.author.Cesanelli, Andrés

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    Light refraction in the earth’s atmosphere II. Inferior mirages: regions for images and objects observation
    (2023) Cruzado, Alicia; Cesanelli, Andrés; Paola, Carlos Alejandro
    In the present work, we analyze the different regions that are configured in a vertical plane for the visualization of the inferior mirage phenomenon. To achieve our goal, we take advantage of a methodology that we have previously developed to analytically obtain the path taken by any ray emerging from a point object, explicitly considering the atmosphere’s behavior near the surface. By means of this procedure we have reached analytical expressions, dependent on measurable temperature values, to delimit the observation regions in which it would be possible to see only objects, only images, both simultaneously, or none of them. From the expressions obtained, we study how these regions are distributed under different atmospheric conditions. The results obtained show that our methodology allow to predict the position (distance from the object and height from the ground) at which an observer should be located to observe the phenomenon, knowing the values of the air temperature at three different heights in the microlayer.
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    Light refraction in the earth’s atmosphere III. Inferior mirages: images locus
    (2023) Paola, Carlos Alejandro; Cruzado, Alicia; Cesanelli, Andrés
    Our main goal is to find the locus of images formed as a result of an inferior mirage. To achieve our goal we show, at first, that, provided the beam entering a detection system has a small aperture, the image of a point object formed by that system in a vertical plane passing through the object is a point, regardless of whether the image formed by an optical system previously traversed by the beam has generated a non-point image of the object. Secondly, we show that the different images formed by the detection system, as its position relative to the object varies, are located on the caustic curve corresponding to the previously traversed optical system. Next, we have found the analytical expressions of the caustic curves corresponding to two particular cases, one of them being the inferior mirages. These expressions have been found by means of the Legendre antitransform of the asymptotic lines to the paths of light rays reaching the detector. For the case of inferior mirages, we have studied in detail the locus of the images in each vertical plane passing through the object as a function of the position of the object relative to the ground, its position relative to the detector, and the atmospheric conditions. Finally, we get somewhat into the matter of the images position as they would be seen by a casual observer of an inferior mirage.