Fourier analysis

Rigorous coupled-wave analysis

Rigorous coupled-wave analysis (RCWA) is a semi-analytical method in computational electromagnetics that is most typically applied to solve scattering from periodic dielectric structures. It is a Fourier-space method so devices and fields are represented as a sum of spatial harmonics. (Wikipedia).

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Lecture 19 (CEM) -- Formulation of Rigorous Coupled-Wave Analysis

This lecture steps the student through the formulation of rigorous coupled-wave analysis. It parallels the lecture on the transfer matrix method and adopts the same formalism for scattering matrices. A bonus section discusses the enhanced transmittance matrix approach. Prerequisite Lect

From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering

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PDE FIND

We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The regression framework relies on sparsity promoting techniques to select the nonlinear and partial derivative

From playlist Research Abstracts from Brunton Lab

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Lecture 20 (CEM) -- Implementation of Rigorous Coupled-Wave Analysis

This lecture steps the student step-by-step through the typical RCWA algorithm based on scattering matrices. Prerequisite Lectures: 19

From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering

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Understanding Wavelets, Part 2: Types of Wavelet Transforms

Explore the workings of wavelet transforms in detail. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr You will also learn important applications of using wavelet transforms with MATLAB®. Video Transcript: In the previous session, we discussed wavelet co

From playlist Understanding Wavelets

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8.03 - Lect 7 - Many Coupled Oscillators, Wave Equation, Transverse Traveling Waves

Many Coupled Oscillators - Wave Equation - Transverse Traveling Pulses - Pulses and Waves on String Assignments Lecture 6 and 7: http://freepdfhosting.com/ee7b5ae607.pdf Solutions Lecture 6 and 7: http://freepdfhosting.com/bdff10fb43.pdf Take-home experiment, Coupled Oscillators, Resonance

From playlist 8.03 - MIT Physics III: Vibrations and Waves

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Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (3 of 92) The Wave Equation

Visit http://ilectureonline.com for more math and science lectures! In this video I will show that Schrodinger equation as a wave equation satisfying the general wave equation. Next video in this series can be seen at: https://youtu.be/mFGkuhxu5Bw

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

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Guillaume Bal: High-contrast high-resolution coupled physics imaging modalities

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Partial Differential Equations

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Lecture 21 (CEM) -- RCWA Tips and Tricks

Having been through the formulation and implementation of RCWA in previous lectures, this lecture discussed several miscellaneous topics including modeling 1D gratings with 3D RCWA, formulation of a 2D RCWA that incorporates fast Fourier factorization, RCWA for curved structures, truncatin

From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering

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Lecture 1 (CEM) -- Introduction to CEM

This lecture introduces the course and steps the student through an overview of most of the major techniques in computational electromagnetics.

From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering

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Waves 2_10 General Differential Equation of Waves

Developing the general differential equation for any wave.

From playlist Physics - Waves

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Leslie Smith: "Fast-Slow Coupling in Atmospheric Flows with Water"

Transport and Mixing in Complex and Turbulent Flows 2021 "Fast-Slow Coupling in Atmospheric Flows with Water" Leslie Smith - University of Wisconsin-Madison, Mathematics Abstract: Atmospheric variables (temperature, velocity, etc.) are often decomposed into balanced and unbalanced compon

From playlist Transport and Mixing in Complex and Turbulent Flows 2021

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Lecture 23 (CEM) -- Slice Absorption Method

This lecture introduces the student to the slice absorption method, which is essentially a block tridiagonal solver for the finite-difference frequency-domain method. It is able to solve larger problems than the conventional finite-difference frequency-domain method. Prerequisite Lecture

From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering

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MagLab Theory Winter School 2019: Andrey Chubukov "vs Non-Fermi liquid"

Topic: Superconductivity vs non Fermi liquid near a quantum-critical point The National MagLab held it's seventh Theory Winter School in Tallahassee, FL from January 7th - 11th, 2019.

From playlist 2019 Theory Winter School

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Lec 8b - Phys 237: Gravitational Waves with Kip Thorne

Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and

From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics

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Shi Jin: Asymptotic preserving methods for multi-scale physical problems - lecture 1

We will first outline the asymptotic-transition from quantum to classical, to kinetic and then the hydrodynamic equations, and then show how such asymptotics can guide the design and analysis of the so-called asymptotic-preserving schemes that offer efficient multiscale computations betwee

From playlist Virtual Conference

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Lecture 5 (CEM) -- TMM Using Scattering Matrices

This lecture formulates a stable transfer matrix method based on scattering matrices. The scattering matrices adopted here are greatly improved from the literature and are consistent with convention. The lecture ends with some advanced topics like dispersion analysis, cascading and doubl

From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering

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1_1 Introductory Notes in Transverse Waves.flv

Introductory notes in transverse waves. Explaining the basics behind the sinusoidal wave patterns of transverse waves.

From playlist Physics - Waves

Related pages

Gibbs phenomenon | Computational electromagnetics | Maxwell's equations