Refractor surfaces determined by near-field data
نویسندگان
چکیده
منابع مشابه
The near Field Refractor
We present an abstract method in the setting of compact metric spaces which is applied to solve a number of problems in geometric optics. In particular, we solve the one source near field refraction problem. That is, we construct surfaces separating two homogenous media with different refractive indices that refract radiation emanating from the origin into a target domain contained in an n − 1 ...
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Let n1 and n2 be the indexes of refraction of two homogeneous and isotropic media I and II, respectively. Suppose that from a point O inside medium I light emanates with intensity f (x) for x ∈ Ω . We want to construct a refracting surface R parameterized as R = {ρ(x)x : x ∈ Ω}, separating media I and II, and such that all rays refracted by R into medium II have directions in Ω∗ and the prescri...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2020
ISSN: 0022-0396
DOI: 10.1016/j.jde.2020.01.002