Validating Computational Software With Exact Analytical Solutions: A review of the last three decades

IF 4.2 4区计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Antennas and Propagation Magazine Pub Date : 2025-04-22 DOI:10.1109/MAP.2025.3537405

Danilo Erricolo

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Abstract

Exact analytical solutions of canonical electromagnetic scattering problems that have been developed in the last 30 years are reviewed to emphasize that many geometrical shapes exist for the validation of computational electromagnetic (CEM) methods. The focus is on exact solutions that can be computed as the sum of series expansions, where the expansion coefficients are known analytically and do not require, for example, the solution of a system of equations. The introduction of a class of artificial materials, known as isorefractive, has enabled the development of new analytical solutions, some of which involve complications not previously found, such as involving different materials, sharp edges, and cavities. In addition, other complicated geometries have been examined to create new exact solutions, without requiring the use of isorefractive materials. Many numerical evaluations exist for the new exact solutions so that for the purposes of numerical validations, one could simply use the existing ones.

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用精确解析解验证计算软件：近三十年的回顾

回顾了近30年来发展起来的典型电磁散射问题的精确解析解，强调了计算电磁方法的验证存在许多几何形状。重点是精确解，可以计算为级数展开的和，其中的展开系数是已知的解析，不需要，例如，一个方程组的解。一类被称为等折射的人造材料的引入，使新的分析解决方案得以发展，其中一些涉及以前未发现的复杂问题，例如涉及不同的材料，尖锐的边缘和空腔。此外，还研究了其他复杂的几何形状，以创建新的精确解，而不需要使用等折射材料。对于新的精确解存在许多数值计算，因此为了数值验证的目的，人们可以简单地使用现有的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Antennas and Propagation Magazine 工程技术-工程：电子与电气

CiteScore

7.00

自引率

5.70%

发文量

186

审稿时长

3 months

期刊介绍： IEEE Antennas and Propagation Magazine actively solicits feature articles that describe engineering activities taking place in industry, government, and universities. All feature articles are subject to peer review. Emphasis is placed on providing the reader with a general understanding of either a particular subject or of the technical challenges being addressed by various organizations, as well as their capabilities to cope with these challenges. Articles presenting new results, review, tutorial, and historical articles are welcome, as are articles describing examples of good engineering. The technical field of interest of the Magazine is the same as the IEEE Antennas and Propagation Society, and includes the following: antennas, including analysis, design, development, measurement, and testing; radiation, propagation, and the interaction of electromagnetic waves with discrete and continuous media; and applications and systems pertinent to antennas, propagation, and sensing, such as applied optics, millimeter- and sub-millimeter-wave techniques, antenna signal processing and control, radio astronomy, and propagation and radiation aspects of terrestrial and space-based communication, including wireless, mobile, satellite, and telecommunications.