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Lecture
Fourier transforms: Light-matter interaction
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Fourier Optics: Wavefront Analysis
Explores Fourier optics, diffraction principles, Fourier analysis, and the application of Fourier transform in optics.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Fourier Transform: X-ray Diffraction and Reciprocal Space
Explores reciprocal space, Bragg condition, and X-ray diffraction in crystal lattices.
Crystal Structure: Real and Reciprocal Lattice
Explores crystal structure, real and reciprocal lattice, and Miller indices in the context of wave-particle duality and Schrodinger equation.
Electron Diffraction: Basics & Applications
Explores electron diffraction fundamentals, crystal symmetry, and advanced techniques for materials analysis.
Diffraction Basics II: Rules and Applications
Explores the rules of interference and diffraction patterns, including Young's experiment and Bragg's law.
Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
Fourier Series and Transforms: Introduction and Properties
Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.
Fourier Transform Applications: Image Processing Basics
Covers image processing basics, Fourier transformation, convolution, cross-correlation, and 3D reconstruction using the Radon projection theorem.
Signal Representation: Fourier Transforms
Covers the representation of signals using Fourier transforms and the properties of signal vectors.
