Open AccessApplication of variational calculus for optimization of optic gradient coatings
Author(s) -
N. N. Schitov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1713/1/012040
Subject(s) - calculus of variations , refraction , lagrange multiplier , minification , reflection (computer programming) , differential calculus , mathematics , refractive index , calculus (dental) , mathematical analysis , mathematical optimization , computer science , physics , optics , dentistry , programming language , medicine
The design optimization for n -graded optic coatings based on variational calculus is discussed. In order to exemplify the approach, the Lagrange problem for minimizing refraction is stated and solved. The refraction law is generalized for alteration of the continuous refraction index. To solve problems of reflection minimization, an integro-differential equation of retarding potentials is proposed to use as a condition to the nonholonomic Lagrange problem.