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To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.ejor.2008.02.002 Byline: Paul Armand (a), Joel Benoist (a), Elsa Bousquet (a), Laurent Delage (b), Serge Olivier (b), Francois Reynaud (b) Keywords: Nonlinear programming; Constrained optimization; High contrast imaging; Exoplanet; Hypertelescope; Astronomical technique; Optical systems Abstract: We describe an application of nonlinear optimization in interferometric optical astronomy. The aim is to find the relative positions of the output pupils and the modulus of the beams through each pupil of a linear array of telescopes in order to design an instrument capable of imaging exoplanets. The problem is modelized under the form of a semi-infinite nonlinear minimization problem. The model problem is transformed by a simple discretization into a minimization problem with a finite number of constraints, then it is solved by using a minimization solver. Numerical experiments are reported. Author Affiliation: (a) XLIM UMR 6172, Departement Maths Informatique, Programme Transverse IRO, CNRS et Universite de Limoges, France (b) XLIM, Departement Photonique, Programme Transverse IRO, France Article History: Received 16 May 2007; Accepted 1 February 2008 more...