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Eigenmode expansion information


Eigenmode expansion (EME) is a computational electrodynamics modelling technique. It is also referred to as the mode matching technique[1] or the bidirectional eigenmode propagation method (BEP method).[2] 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,[3] and it is a popular tool for the modelling linear effects in fiber optics and silicon photonics devices.

  1. ^ Cite error: The named reference mmt was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference bep was invoked but never defined (see the help page).
  3. ^ Cite error: The named reference phot_cad was invoked but never defined (see the help page).

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Eigenmode expansion

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Eigenmode expansion (EME) is a computational electrodynamics modelling technique. It is also referred to as the mode matching technique or the bidirectional...

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Computational electromagnetics

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basis set of local eigenmodes. The eigenmodes are found by solving Maxwell's equations in each local cross-section. Eigenmode expansion can solve Maxwell's...

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Wave equation

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e^{-i\omega t},} so that a full solution can be decomposed into an eigenmode expansion: u ( x , t ) = ∫ − ∞ ∞ s ( ω ) u ω ( x , t ) d ω , {\displaystyle...

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Comparison of EM simulation software

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Yes Yes Automatic adaptive FEM, FDTD, PO, Hybrid FEBI, MoM, and Eigenmode expansion (EME). For antenna/filter/IC packages, Radome, RFIC, MMIC, Antenna...

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Coupled mode theory

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where Nm is the norm of the mth mode and am is the modal amplitude. Eigenmode expansion S.E.Miller,"Coupled wave theory and waveguide applications.", Bell...

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Beam propagation method

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Computational electromagnetics Finite-difference time-domain method Eigenmode expansion Finite element method Maxwell's equations Method of lines Light Photon...

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EME

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drug Early myoclonic encephalopathy Earth–Moon–Earth communication Eigenmode expansion Electromagnetic environment Electromembrane extraction Early Medieval...

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Alexander Ramm

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theory was proved. This gave a mathematical justification of the EEM (eigenmode expansion method), a popular method in electrical engineering. Jointly with...

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Semiconductor laser theory

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the calculation. Therefore, the eigenmode expansion of the electric field is done not in plane waves but in the eigenmodes of the resonator which may be...

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Plane wave expansion method

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specific eigenvectors. The resulting band-structure obtained through the eigenmodes of this structure are shown to the right. We can use the following code...

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Chemical laser

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S2CID 109715908. Bullock, D.; Lainhart, M. E. (1993). Bhowmik, Anup (ed.). "Vector eigenmodes in a cylindrical laser". Proceedings of SPIE. Laser Resonators and Coherent...

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Fourier optics

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eigenfunction solution (or eigenmode solution) to Maxwell's equations in the waveguide. Free space also admits eigenmode (natural mode) solutions (known...

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Wave

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is then substituted into the wave equation. From here, the plane wave eigenmodes can be calculated.[citation needed][clarification needed] The analytical...

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Optical cavity

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the light through the resonator are the most stable, and these are the eigenmodes, known as the modes, of the resonator. Resonator modes can be divided...

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Network neuroscience

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brain networks from the structural connectome: Relating the series expansion and eigenmode approaches". NeuroImage. 216: 116805. doi:10.1016/j.neuroimage...

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Singular spectrum analysis

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oscillation. This is due to the fact that a single pair of data-adaptive SSA eigenmodes often will capture better the basic periodicity of an oscillatory mode...

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Interchange instability

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and the energy method. The normal mode method essentially looks for the eigenmodes and eigenfrequencies and summing the solutions to form the general solution...

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Coronal seismology

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conditions, solving this equation determines the eigenfrequencies and eigenmodes. The coronal density scale height could then be estimated by using the...

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Frequency selective surface

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of PEC scatterer) becomes: Since we are seeking characteristic modes (eigenmodes) of the structure, there is no impressed E-field on the RHS of this electric...

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Coherent effects in semiconductor optics

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resonances. As a result, the system is characterized by N{\displaystyle N} eigenmodes originating from the radiatively coupled optical resonances. A spectacular...

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Gyrokinetic ElectroMagnetic

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energetic particle driven magnetohydrodynamic (see magnetohydrodynamics) eigenmodes. Plasma Simulation Group - Center for Integrated Plasma Studies A delta-f...

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Supersymmetric theory of stochastic dynamics

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eigenvalues, because kinematic dynamo with both types of the fastest growing eigenmodes are known. It is well known that various types of transient dynamics,...

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