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Theoretical Optical Analysis of a Spherical or a Plat Diopter on a Hemispherical Concentrator

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Abstract

In this publication, a hemispherical concentrator, containing a transparent component of refractive index \(n_2\) greater than or equal to the refractive index \(n_1\) of the surrounding environment and having a flat diopter on its upper side, is studied. Then a hemispherical concentrator built in the same way as the previous concentrator but with a hemispherical diopter on its upper side is also studied. A comparison with the Rawlemon spherical concentrator is finally made by drawing the local, global geometric and geometric mean concentrations curves of all these systems. The medium \(n_1\) is air with a refractive index \({n_1} = 1\), while the medium \(n_2\) is varied: 1 (air-like), 1.33 (water-like) and 1.5 (glass-like). In conclusion, a flat diopter on a hemispherical concentrator reduces the receiver positioning hour and declination angles, while a hemispherical diopter on a hemispherical concentrator increases the geometric and geometric mean concentration of the system.

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Acknowledgements

The authors gratefully acknowledge the Ministry of Industry, Trade and Handicrafts of Burkina Faso (MICA-Burkina) for having supported the patent OAPI \(\hbox {N}\,{^{\circ }}16893\) filled by Ky and Bathiebo, the International Science Program (ISP) for supporting BUF01 and the Family Federation for World Peace and Unification Headquarter (FFWPU-HQ, South Korea) for the resources disposal to accomplish this work.

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Authors and Affiliations

  1. Laboratory of Renewable Thermal Energies, UFR-SEA, University Ouaga I Pr Joseph KI-ZERBO, 03, BP 7021, Ouagadougou, Burkina Faso

    T. S. M. Ky, B. Dianda, E. Ouedraogo, B. M. Pakouzou, S. Kam & D. J. Bathiebo

  2. Carnot Laboratory of Energetics, Faculty of Sciences, University of Bangui, Bangui, Central African Republic

    B. M. Pakouzou

Authors
  1. T. S. M. Ky
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  2. B. Dianda
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  3. E. Ouedraogo
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  4. B. M. Pakouzou
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  5. S. Kam
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  6. D. J. Bathiebo
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Correspondence to T. S. M. Ky.

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Ky, T.S.M., Dianda, B., Ouedraogo, E. et al. Theoretical Optical Analysis of a Spherical or a Plat Diopter on a Hemispherical Concentrator. Arab J Sci Eng 44, 6609–6620 (2019). https://doi.org/10.1007/s13369-019-03812-y

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  • DOI: https://doi.org/10.1007/s13369-019-03812-y

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