Accurate calculation and Matlab based fast realization of merit function’s Hesse matrix for the design of multilayer optical coating

To improve the current status of home multilayer optical coating design with low speed and poor efficiency when a large layer number occurs, the accurate calculation and fast realization of merit function’s gradient and Hesse matrix is pointed out. Based on the matrix method to calculate the spectra...

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Bibliographic Details
Published inOptoelectronics letters Vol. 5; no. 5; pp. 359 - 363
Main Authors Wu, Su-yong, Long, Xing-wu, Yang, Kai-yong
Format Journal Article
LanguageEnglish
Published Heidelberg Tianjin University of Technology 01.09.2009
Subjects
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Optical Coating
Multilayer System
Design Tolerance
Hesse Matrix
Merit Function
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Summary:To improve the current status of home multilayer optical coating design with low speed and poor efficiency when a large layer number occurs, the accurate calculation and fast realization of merit function’s gradient and Hesse matrix is pointed out. Based on the matrix method to calculate the spectral properties of multilayer optical coating, an analytic model is established theoretically. And the corresponding accurate and fast computation is successfully achieved by programming with Matlab. Theoretical and simulated results indicate that this model is mathematically strict and accurate, and its maximal precision can reach floating-point operations in the computer, with short time and fast speed. Thus it is very suitable to improve the optimal search speed and efficiency of local optimization methods based on the derivatives of merit function. It has outstanding performance in multilayer optical coating design with a large layer number.
ISSN:1673-1905
1993-5013
DOI:10.1007/s11801-009-9088-5