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ProblemsClear skill: Elementary Electromagnetic Waves Build a practice set

ED:201Faraday's law fixes the magnetic partner of a proposed wave

Elementary Electromagnetic WavesFaraday Wave AuditPlane Wave SignPoynting Direction

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:202Measured E-to-B and E-to-H ratios describe different material data

Elementary Electromagnetic WavesMeasured Field RatiosWave Impedance AuditConstitutive Consistency

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Concept & counterexample

ED:203The vector wave equation alone does not enforce transversality

Elementary Electromagnetic WavesWave Equation CounterexamplePlane Wave TransversalityGauss Constraint

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Concept & counterexample

ED:204A transverse pulse profile travels without distortion

Elementary Electromagnetic WavesNondispersive PulseTransverse Maxwell CheckPulse Energy

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Proof

ED:205A plane-wave phasor must be transverse

Elementary Electromagnetic WavesPhasor TransversalityLongitudinal ProjectionMagnetic Amplitude

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:206Opposite phasor conventions can represent the same real wave

Elementary Electromagnetic WavesPhasor ConventionComplex Conjugate AmplitudesPhysical Field Invariance

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Concept & counterexample

ED:207A relative phase sets the polarization path and rotation sense

Elementary Electromagnetic WavesPolarization LocusRelative PhaseRotation Sense

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:208A normalized Jones vector reveals the polarization ellipse

Elementary Electromagnetic WavesJones NormalizationPolarization EllipseGlobal Phase

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:209Stokes parameters obey a sphere identity for a Jones state

Elementary Electromagnetic WavesStokes ParametersPoincare SphereJones State

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:210Rotating transverse axes doubles the Stokes angle

Elementary Electromagnetic WavesStokes Double AngleAxis RotationLinear Polarization

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Proof

ED:211Equal wave speed does not imply equal wave impedance

Elementary Electromagnetic WavesEqual Speed CounterexampleMagnetic DielectricFixed Power Fields

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Concept & counterexample

ED:212Electric and magnetic energies are equal in a single traveling wave

Elementary Electromagnetic WavesTraveling Wave EnergyElectric Magnetic EquipartitionCycle Average

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:213Absorption and reflection transfer different momentum for the same incident energy

Elementary Electromagnetic WavesMaxwell Stress Radiation LoadPulse Momentum LedgerAbsorber Mirror Contrast

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:214Energy velocity equals phase speed only under declared material assumptions

Elementary Electromagnetic WavesEnergy Velocity TheoremNondispersive Medium AssumptionsImpedance Energy Balance

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Theorem

ED:215Impedance and speed determine both permittivity and permeability

Elementary Electromagnetic WavesInverse Material RetrievalImpedance Speed PairPlane Wave Energy Audit

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Mixed review

ED:216A standing wave offsets electric and magnetic nodes by a quarter wavelength

Elementary Electromagnetic WavesCounterpropagating Wave SignsQuarter Wavelength Node OffsetStanding Wave Energy Sloshing

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:217Reactive Poynting flow reverses twice per cycle

Elementary Electromagnetic WavesStanding Wave Energy ExchangePointwise Poynting BalanceReactive Flux Reversal

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Proof

ED:218Unequal counterpropagating waves leave a standing-wave ratio and net power

Elementary Electromagnetic WavesUnequal Wave SuperpositionStanding Wave Ratio InversionNet Directed Power

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:219Orthogonally polarized counterpropagating waves hide a spatial polarization texture

Elementary Electromagnetic WavesCounterpropagating PolarizationHidden Polarization TexturePoynting Continuity Check

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Concept & counterexample

ED:220Two nearby frequencies beat without dispersive envelope distortion

Elementary Electromagnetic WavesTwo Frequency BeatingEnergy Flux EnvelopeNondispersive Propagation

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:221A perfect conductor reverses tangential electric field but not magnetic field

Elementary Electromagnetic WavesPec Normal Reflection SignsStanding Field Surface CurrentMirror Pressure Direction

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Calculation

ED:222Oblique PEC reflection determines surface charge and current together

Elementary Electromagnetic WavesP Polarized Pec Oblique ReflectionCoupled Surface Charge CurrentSurface Continuity Phase Check

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Mixed review

ED:223Maxwell stress reproduces oblique radiation pressure

Elementary Electromagnetic WavesOblique Pec ReflectionMaxwell Stress TractionProjected Momentum Flux

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Proof

ED:224A standing field can push a mirror while carrying zero net power at its face

Elementary Electromagnetic WavesPec Standing FieldZero Power Nonzero PressureInstantaneous Boundary Work

Elementary electromagnetic wavesElectromagnetism / Electrodynamics I · Concept & counterexample

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