Explores the derivation of the diffusion equation using Fourier transforms and discusses the significance of Dirac delta functions in mathematical analysis.
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Explores Fresnel diffraction, Fraunhofer diffraction, the Babinet principle, and optical microscope resolution, as well as near-field microscopy and SNOM/NSOM imaging.