The Problem of Optimal Camouflaging

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Abstract
We consider the problem of camouflaging for bodies with specular surface in the framework of geometric optics. The index of visibility introduced in [ Proc. A, 473 (2017), 20170147] measures the mean deviation of light rays incident on the body’s surface. We study the problem of minimal visibility index for bodies with fixed volume contained in the unit sphere. This problem is reduced to a special vector-valued problem of optimal mass transfer, which is solved partly analytically and partly numerically. This paper is a continuation of the study started in [ Russian Math. Surveys, 64 (2009), pp. 873–938], [ Proc. A, 473 (2017), 20170147], and [ Nonlinearity, 24 (2011), pp. 847–854].
Funding Information
  • Fundação para a Ciência e a Tecnologia (2022.03091.PTDC)
  • Universidade de Aveiro (UIDB/04106/2020, UIDP/04106/2020)

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