Electromagnetic Sensitivity Analysis of Curved Boundaries under the Method of Accompanying Variables
Sensitivity analysis an evaluation method for the influence with variations of the design parameters on electromagnetic performance,which is utilized to calculate sensitivity information.This information guides the analysis of structural models to ensure compliance with design specifications.In the optimization design of electromagnetic structures by commercial software,traditional algorithms are often employed,involving adjustments to the geometry.However,this approach is known to be extensive in terms of computational time and resource consumption.In order to enhance the efficiency of model design,a stable and efficient processing scheme is proposed in the paper,known as the Adjoint Variable Method(AVM).This method achieves estimation of 1st~2nd order sensitivity on parameter transformations with only two algorithmic simulation conditions required.The application of AVM has predominantly been confined to the sensitivity analysis of rectangular boundary parameters,with this paper making the first extension of AVM to the sensitivity analysis of arc boundary parameters.Efficient analysis of the electromagnetic sensitivity of curved structures is accomplished based on the conditions designed for three distinct scenarios:fixed intrinsic parameters,frequency-dependent objective functions,and transient impulse functions.Compared to the Finite-Difference Method(FDM),a significant enhancement in computational efficiency is achieved by the proposed method.The effective implementation of the method substantially expands the application scope of AVM to curved boundaries,which can be utilized in optimization problems such as the electromagnetic structures of plasma models and the edge structures of complex antenna models.When computational resources are limited,the reliability and stability of electromagnetic structure optimization can be ensured by the application of the proposed method.