GED:010117Crossed E=3E0 x-hat and B=4E0 z-hat become a pure magnetic field after the boost v=-(3/4) y-hatGed Crossed Field InvariantsGed Boost TO Magnetic FramePrivateLabels unavailablePrivate saving unavailableCovariant Maxwell theory, gauge structure, and differential formsGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010118Residual gauge alpha=-1 on the null wave (k,eps)=((2,0,0,2),(2,3,4,2)) leaves transverse (0,3,4,0) of Minkowski norm -25Ged Null Plane Wave LorenzGed Residual Gauge TransversePrivateLabels unavailablePrivate saving unavailableCovariant Maxwell theory, gauge structure, and differential formsGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010130Born–Infeld point charge saturates E=b at the origin and Φ0=b r0 Γ(1/4)²/(4√π)Ged Born Infeld Constitutive InversionGed Born Infeld Origin PotentialPrivateLabels unavailablePrivate saving unavailableCovariant Maxwell theory, gauge structure, and differential formsGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010219The Yukawa Green function e^{-kappa r}/(4 pi r) has flux weight e^{-kappa r}(1+kappa r) -> 1 and L1 mass 1/kappa^2Ged Yukawa Green RadialGed Green Flux L1 MassPrivateLabels unavailablePrivate saving unavailableGreen functions, reciprocity, and boundary-value methodsGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010227An isolated conducting disk stores sqrt(3)/2 of its charge in the outer half-radius rim.Ged Conducting Disk Both Face DensityGed Disk Rim Charge FractionPrivateLabels unavailablePrivate saving unavailableGreen functions, reciprocity, and boundary-value methodsGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010320Two in-phase z-dipoles one wavelength apart radiate 2 sin(theta) cos(pi cos theta) with total power 2-3/(2 pi^2) times one dipoleGed Two Element Dipole ArrayGed Dipole Pair Power IntegralPrivateLabels unavailablePrivate saving unavailableMultipole radiation and relativistic sourcesGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010321A rotating magnetic dipole m=m0(cos omega t x-hat + sin omega t y-hat) has averaged factor (1+cos^2 theta)/2 and total twice a linear componentGed Rotating Magnetic DipoleGed Circular Dipole PatternPrivateLabels unavailablePrivate saving unavailableMultipole radiation and relativistic sourcesGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010331A charge stopping from v0 x-hat leaves radiation memory q v0 x-hat/(4πε0 c² R) on +zGed Nonrelativistic Electric MemoryGed Radiation Memory Angular IntegralPrivateLabels unavailablePrivate saving unavailableMultipole radiation and relativistic sourcesGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010422A unit-line lossless iris with normalized shunt y=2i has r=-(1+i)/2, t=(1-i)/2, and S-eigenvalues -i and -1Ged Lossless Iris Shunt SmatrixGed Lossless Smatrix EigenvaluesPrivateLabels unavailablePrivate saving unavailableWaveguides, resonators, and electromagnetic scatteringGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010423A dielectric sphere with εr=4 has Rayleigh polarizability 2π ε0 a³ and scattering efficiency (2/3)(ka)⁴Ged Rayleigh Dielectric PolarizabilityGed Rayleigh Scattering EfficiencyPrivateLabels unavailablePrivate saving unavailableWaveguides, resonators, and electromagnetic scatteringGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010428A single lossless p-wave with δ1=π/6 sits at a quarter of the 12π/k² unitarity ceilingView access optionsGed Lossless Single Pwave AmplitudeGed Optical Theorem Unitarity CeilingPrivateLabels unavailablePrivate saving unavailableWaveguides, resonators, and electromagnetic scatteringGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010524The Lorentz oscillator with ωp=ω0 and γ=ω0/2 has on-resonance susceptibility 2i and poles at (±√15-i)ω0/4View access optionsGed Lorentz ON Resonance SusceptibilityGed Lorentz Pole Half PlanePrivateLabels unavailablePrivate saving unavailableDispersive media, response, and causalityGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010525A monochromatic slab with εr=μr=-1 supports E=x̂, H=+ŷ, ⟨S⟩=+ẑ and phase toward -ẑ at matched Z=+Z0View access optionsGed Negative Index ImpedanceGed Backward Wave PoyntingPrivateLabels unavailablePrivate saving unavailableDispersive media, response, and causalityGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010626Uniform-field hyperbolic motion from rest has γ=√(1+(t/τ)²) and proper time τ ln 2 at t=3τ/4View access optionsGed Uniform Field HyperbolaGed Hyperbola Proper TimePrivateLabels unavailablePrivate saving unavailableCharged-particle dynamics, self-fields, and radiation reactionGraduate Electrodynamics · Mixed reviewProgress not loaded
GED:010629Penning modes at ωc=5Ω and ωz=2√2 Ω split as ω+=4Ω and ω−=Ω with product 4Ω²View access optionsGed Penning Radial DiscriminantGed Magnetron Modified Cyclotron SplitPrivateLabels unavailablePrivate saving unavailableCharged-particle dynamics, self-fields, and radiation reactionGraduate Electrodynamics · Mixed reviewProgress not loaded