Light reflection is nonlinear optimization
نویسندگان
چکیده
منابع مشابه
Light, Reflection, Illumination
saw the light” figure often in our everyday speech, we do not typically contemplate light. We may marvel at its seemingly mysterious expression through auroras, rainbows, lasers, or celestial objects or find comfort in its subtler forms such as sunbeams, candles, campfires, or fireflies. Artists and scientists, by contrast, do study and manipulate light, reflection, and illumination. Impression...
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In the present paper, the problem of light reflection from a birefringent medium and thin film is considered. First, the analytical equations governing the propagation of a plane and harmonic electromagnetic wave in an infinite, birefringent, linear, non-dispersive, non-absorbing, and non-magnetic medium is derived from Maxwell equations. Then, using phase matching condition and boundary condit...
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Many common objects have highly reflective metallic or painted finishes. Their appearance is primarily defined by the distortion the curved shape of the surface introduces in the reflections of surrounding objects. Reflection lines are commonly used for surface interrogation, as they capture many essential aspects of reflection distortion directly, and clearly show surface imperfections that ma...
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Given a single function f that depends on one or more independent variable, we want to find the values of those variables where f is maximized or minimized. Often the computational cost is dominated by the the cost of evaluating f (and also perhaps its partial derivatives with respect to all variables). Finding a global extremum is, in general, a very difficult problem. Two standard heuristics ...
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The nonlinear minimization problem is to find a (local) minimizer for an objective function f (·), which takes in a vector x ∈ R n as input and a scalar f (x) as output. A broad and important class of algorithms take an iterative form x k+1 = x k + α k h where if f x k = 0, we choose direction h k so that f x k h k < 0 and the step size α k so that f x k + α k h k < f x k. At current ponit x, c...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2012
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-012-0506-3