光応用における動的偏波制御のためのヤコビアン手法
Jacobian Methods for Dynamic Polarization Control in Optical Applications
動的偏波制御をヤコビアンに基づく制御理論でモデル化し、ロボット運動学との共通点を見出して、冗長系としての多段DPCの解析とリセット不要の効率的アルゴリズムを提案した。
著者: Dawei Wang, Kaiqin Lai, Ying Yu, Qi Sui, Zhaohui Li
分類: cs.RO, cs.SY, eess.SY
原文アブストラクト
Dynamic polarization control (DPC) is beneficial for many optical applications. It uses adjustable waveplates to perform automatic polarization tracking and manipulation. Efficient algorithms are essential to realizing an endless polarization control process at high speed. However, the standard gradientbased algorithm is not well analyzed. Here we model the DPC with a Jacobian-based control theory framework that finds a lot in common with robot kinematics. We then give a detailed analysis of the condition of the Stokes vector gradient as a Jacobian matrix. We identify the multi-stage DPC as a redundant system enabling control algorithms with null-space operations. An efficient, reset-free algorithm can be found. We anticipate more customized DPC algorithms to follow the same framework in various optical systems.
