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This chapter begins with the mathematical representation of waves, reviewing concepts such as the principle of superposition, standing waves, and beats. It then progresses to the exponential representation of waves, Fourier series, and the Fourier transform. Finally, applications of the Fourier transform are introduced, including topics such as the spectral analysis of sound waves and the Fourier transform and filtering of images.

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Physical and Mathematical Aspects of Scattering

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  • 发表日期：

    2026年

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  • Mitsuhiro Shibayama

摘要

This chapter begins with the mathematical representation of waves, reviewing concepts such as the principle of superposition, standing waves, and beats. It then progresses to the exponential representation of waves, Fourier series, and the Fourier transform. Finally, applications of the Fourier transform are introduced, including topics such as the spectral analysis of sound waves and the Fourier transform and filtering of images.