Dwell time for optical fabrication using modified discrete convolution matrix method

• Xi ming Liu, Longxiang Li, Xingchang Li, Feng Zhang, and Xuejun Zhang
• received 03/12/2024; accepted 04/19/2024; posted 04/22/2024; Doc. ID 523682
• Abstract: More accurate dwell time calculation methods are necessary to achieve superior error convergence in producing optically critical components. Although the discrete convolution matrix method finds widespread application, which still have approximate errors in the non-uniform discrete form of tool paths. To address this issue, this paper introduced a modified matrix elements method and presented the general Voronoi polygon area weight calculation forms under different tool path discretization forms. The mechanism of the modified model is explained through analysis. The validity of the modified model is verified by numerical simulation. The modified approximation significantly improved uniformity distribution of surface residuals. This improvement holds promise as a guiding principle for the fabrication of ultra-precision optical components.