傅里叶变换在材料中的应用
The Application of Fourier Transform in Materials
摘要: 从现代数学的眼光来看，傅里叶变换是一种特殊的积分变换。它能将满足一定条件的某个函数表示成正弦基函数的线性组合或者积分。在不同的研究领域，傅里叶变换具有多种不同的变体形式，如连续傅里叶变换和离散傅里叶变换。本文主要介绍了傅里叶变换在处理压电材料与热电材料的性能、接触、断裂等问题中的应用。
Abstract: From the perspective of modern mathematics, the Fourier transform is a special integral transform. It can express a certain function that satisfies certain conditions as a linear combination or integration of sine basis functions. In different research fields, Fourier transforms have a variety of different variations, such as a continuous Fourier transform and a discrete Fourier transform. This article mainly introduces the application of Fourier transform in dealing with the performance, contact and fracture of piezoelectric materials and thermoelectric materials.
文章引用：穆翔, 丁生虎. 傅里叶变换在材料中的应用[J]. 理论数学, 2018, 8(3): 278-288. https://doi.org/10.12677/PM.2018.83037

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