Eigenmode expansion (EME) is a computational electrodynamics modelling technique. It is also referred to as the mode matching technique or the bidirectional eigenmode propagation method (BEP method). Eigenmode expansion is a linear frequency-domain method. It offers very strong benefits compared with FDTD, FEM and the beam propagation method for the modelling of optical waveguides, and it is a popular tool for the modelling linear effects in fiber optics and silicon photonics devices. (Wikipedia).
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
Solid mechanics deals with the deformation of objects under applied forces. This talk will describe how to create solid mechanics models in the Wolfram Language. The resulting partial differential equations (PDEs) can be solved numerically using NDSolve and NDEigensystem. Techniques will b
From playlist Wolfram Technology Conference 2021
With the eigenvalues for the system known, we move on the the eigenvectors that form part of the set of solutions.
From playlist A Second Course in Differential Equations
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (10 of 35) Bases and Eigenvalues: 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will explore and give an example of finding the basis for the eigenspace associated with matrix A and eigenvalue=1. Next video in this series can be seen at: https://youtu.be/Bz9BUM1fRe0
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
Lecture 18 (CEM) -- Plane Wave Expansion Method
This lecture steps the student through the formulation and implementation of the plane wave expansion method. It describes how to construct electromagnetic band diagrams and isofrequency contours. As bonus sections, it describes how to handle band crossing, how to implement the efficient
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
This video explores the eigenvalues and eigenvectors of a matrix "A". This is one of the most important concepts in linear algebra. The eigenvectors represent a change of coordinates in which the "A" matrix becomes diagonal, with entries given by the eigenvalues. This allows us to easil
From playlist Engineering Math: Differential Equations and Dynamical Systems
Rupert Klein: Internal wave dynamics in the atmosphere - Lecture 2
Earth’s atmosphere hosts a rich spectrum of phenomena that involve interactions of a variety of processes across many length and time scales. A systematic approach to analyzing these scale dependent processes is a core task of theoretical meteorology and a prerequi- site to constructing re
From playlist Mathematical Physics
Lec 20 - 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
Eigenvalues | Eigenvalues and Eigenvectors
In this video, we work through some example computations of eigenvalues of 2x2 matrices. Including a case where the eigenvalues are complex numbers. We do not discuss any intuition or definition of eigenvalues or eigenvectors, we simply carry out some elementary computations. If you liked
From playlist Linear Algebra
Dynamic Eigen Decomposition I: Parameter Variation in System Dynamics
Video 1 in a series about dynamic eigen decomposition (DED) theory and applications. Here we cover basic theoretical aspects of the DED as applied to a 2 degree of freedom mechanical oscillator with parameter variation. The surprising fact we uncover is that dynamic eigenvectors are preser
From playlist Summer of Math Exposition Youtube Videos
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (18 of 35) Checking Eigenvectors
Visit http://ilectureonline.com for more math and science lectures! In this video I will show an interesting property of multiplying the original matrix by its eigenvector, the resultant vector will be a multiple of the eigenvector. Next video in this series can be seen at: https://youtu
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Jan de Gier: "Current distribution for a two-species particle model from first principles"
Asymptotic Algebraic Combinatorics 2020 "Current distribution for a two-species particle model from first principles" Jan de Gier - University of Melbourne Abstract: We derive a joint universal KPZ current distribution from first principles in the integrable two-species Arndt-Heinzel-Rit
From playlist Asymptotic Algebraic Combinatorics 2020
Martin Stöhr - More is Different NonScalability of Approximation in Modeling Noncovalent Interaction
Recorded 01 April 2022. Martin Stöhr of the University of Luxembourg Department of Physics and Materials Science presents "Why More is Different: The (Non-)Scalability of Approximations in Modeling Non-covalent Interactions" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Ab
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
From Non-Abelian Superfluids to Soft Pion Production by Derek Teaney
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)
Calculating e^A for a matrix A, explaining what this has to do with diagonalization, and solving systems of differential equations Check out my Eigenvalues playlist: https://www.youtube.com/watch?v=H-NxPABQlxI&list=PLJb1qAQIrmmC72x-amTHgG-H_5S19jOSf Subscribe to my channel: https://www.y
From playlist Eigenvalues
Catherine Drysdale: Complications making amplitude equations in fluid mechanics
CIRM HYBRID EVENT Recorded during the meeting "Mathematical Aspects of Physics with Non-Self-Adjoint Operators: 10 Years After" the February 02, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other ta
From playlist Mathematical Physics
Never Before Seen Giant Magnetic Waves Found Inside Planet Earth
Good telescope that I've used to learn the basics: https://amzn.to/35r1jAk Get a Wonderful Person shirt: https://teespring.com/stores/whatdamath Alternatively, PayPal donations can be sent here: http://paypal.me/whatdamath Hello and welcome! My name is Anton and in this video, we will tal
From playlist Amazing Planet Earth
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (22 of 35) Given Eigenvalue, Find Eigenvector=?
Visit http://ilectureonline.com for more math and science lectures! In this video I will find eigenvector=? when given eignevalue lambda2=-1 where A is a 2x2 matrix. Next video in this series can be seen at: https://youtu.be/dN02OkJekZU
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS