Fields → waves → matter → devices → systems → applications
Applications of Electromagnetics
A connected engineering and physics reference built for understanding, calculation, measurement, simulation, and revision — from Maxwell's equations to antennas, spacecraft, MRI, accelerators, atomic sensors, and quantum technologies.
Interactive Electromagnetics MapClick any node to open that part of the reference.
One field theory · multiple physical pathways
Wavespropagation · polarization
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RF & Microwavelines · S-parameters · waveguides
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Antennas & Arraysradiation · aperture · beamforming
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Wireless & Radarlinks · MIMO · sensing
Lorentz Forceq(E + v × B)
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Particle Dynamicsacceleration · bending · focusing
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Shockley–Ramoweighting field · induced current
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Detection & ReadoutTIA · scope · spectrum
Reference tools
MapKnowledge MapConnections among fields, waves, forces, circuits, antennas, sensors and quantum interactions.
ReferenceQuick ReferenceEquations, scales, comparisons, scaling laws, derivations, misconceptions and history.
ExamplesWorked ExamplesNumerical examples spanning RF, antennas, radar, optics, magnetometry and quantum sensing.
CalculatorInteractive CalculatorsWavelength, link budget, noise, skin depth, cutoff, radar, Larmor, Rabi and Halbach calculations.
MeasurementMeasurements & InstrumentsVNA, spectrum analyzer, VSA, oscilloscope, field probes, chambers, optical detectors and calibration.
SimulationSimulation LibraryPython-ready models for arrays, waves, charged particles, resonances, Stark/Zeeman and atomic sensing.
ValidationTheory ↔ ExperimentObservable-first modeling, residuals, independent calibration and model validation.
ComputingComputational MethodsNumerical workflows, CUDA/GPU computing, Julia and scientific-computing methods.
SourcesLiterature GuideFoundational papers, modern reviews, representative experiments and institutional sources.
LecturesPresentations & LecturesCurated technical presentations from universities, NASA, CERN and research institutions.
Core electromagnetics
FoundationsMaxwell equations, boundary conditions, waves, polarization, energy and Poynting flow.
RF & MicrowaveTransmission lines, Smith chart, S-parameters, waveguides, resonators, filters and networks.
Antennas & RadiationDipoles, loops, patches, horns, aperture, gain, polarization, near/far field and measurement.
Wireless & MIMOPropagation, link budgets, channel matrices, rank, multiplexing, beamforming and EVM.
AESA & Phased ArraysArray factor, steering, T/R modules, scan loss, grating lobes, calibration and thermal limits.
Radar & Remote SensingRadar equation, range/Doppler, FMCW, RCS, phased arrays, SAR and measurement limits.
EMI / EMCEmissions, immunity, coupling, shielding, grounding, crosstalk, compliance and troubleshooting.
Optics & PhotonicsFresnel physics, diffraction, fibers, lasers, guided optics and photonic systems.
Power & EnergyInduction, transformers, motors, generators, magnetic materials and wireless power.
Medical ElectromagneticsMRI, RF coils, SAR, microwave imaging, ablation, hyperthermia and implants.
Fields, particles and induced signals
Lorentz ForceElectric and magnetic forces on charges, charged-particle motion, crossed fields and relativistic form.
Shockley–Ramo TheoremWeighting fields, induced current, detector signals, moving charges, TIA readout and magnetic-field effects.
Subatomic Particles & AcceleratorsParticle discovery, electromagnetic acceleration, bending, focusing, detection and spectrometry.
Atomic, quantum, space and precision systems
Quantum TechnologiesAtom–field interaction, Rabi coupling, Stark/Zeeman physics, cavities, sensing and conversion.
Rydberg Semiclassical OpticsEIT, AT splitting, dressed/Floquet states, multiphoton physics, nonlinearities and RF sensing.
Ground-State MagnetometryLarmor precession, optical pumping, SERF, CPT/EIT, RF magnetometry and Halbach arrays.
Optically Pumped Atomic MagnetometersZeeman interaction, spin polarization, Bloch dynamics, optical readout and scalar/vector magnetometry.
Hydrogen MaserHyperfine physics, stimulated microwave emission, cavities, stability and VLBI timing.
Spacecraft ElectromagneticsInstalled antenna patterns, coupling, EMC, satellite links, payloads and launch environments.
Gravity Probe BSuperconducting gyroscopes, London moment, SQUID readout and end-to-end precision engineering.
VLBI, Chandler Wobble & Earth RotationInterferometric radio astronomy, precision timing, baseline geometry and Earth-orientation measurement.
Bookmarkable references
Equation SheetThe relations most often reused across EM, RF, optics and atomic sensing.
Orders of MagnitudeWavelengths, powers, fields, timescales and noise levels.
Scaling LawsDependence on frequency, distance, size, $n$, bandwidth and field.
Comparison TablesFEM/FDTD/MoM, antennas, radar types, magnetometers, homodyne/heterodyne and more.
Common MisconceptionsShort corrections for ideas that routinely cause errors in EM and quantum sensing.
Essential DerivationsSelected derivations where the mathematics reveals useful physical structure.
History TimelineMajor developments from Coulomb, Faraday and Maxwell to RF engineering and modern field metrology.
History Behind the EquationsHistorical context for the equations that shaped electromagnetics.
Technical page structure
Mature topic pages use a consistent reference format: physical intuition, governing equations and assumptions, worked examples, visualizations or simulations, measurement methods, engineering limitations, literature, and related topics.
Engineering realityFinite geometry, loss, parasitics, bandwidth, calibration, temperature, uncertainty, tolerances, nonlinearity and noise determine how closely real systems follow ideal equations.
MeasurementThe Measurements & Instruments section connects field theory to VNA/VSA/spectrum-analyzer/oscilloscope methods, field probes, antenna ranges, photodetection, calibration and uncertainty.
External resources
The Presentations & Lectures library contains curated institutional material from MIT, CERN, NASA and universities. The Literature Guide collects foundational papers, modern reviews, representative experiments and institutional resources.