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
AdvancedAdvanced Engineering Learning MapSeven disciplines, 17 new technical chapters, complete instrument case studies and reproducible numerical exercises.
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.
MeasurementModern Spectrum Analyzer Signal ProcessingBB60D vs SP145 vs R&S FSW: RF front ends, ADC/FPGA DSP, FFT/RBW/VBW, phase noise, real-time spectrum, I/Q/VSA and wideband analysis.
MeasurementModern Signal GeneratorReference clocks, PLLs, baseband I/Q, interpolation, DDS/NCO, DACs, vector modulation, direct-RF synthesis, ALC, EVM, ACPR and MIMO synchronization.
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.
EmbeddedArduino BoardsMCUs, GPIO, ADC/DAC/PWM, timers, interrupts, UART/I²C/SPI/CAN/USB, power, sensors, drivers, debugging and board selection.
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.
RF Transceiver Architectures — Interview ReadySuperhet, zero-IF, low-IF, image reject, direct RF sampling, SDR, TX architectures, duplexing, I/Q impairments, noise, linearity and calibration.
Software-Defined Radio (SDR)RF front ends, complex I/Q sampling, digital downconversion, ADC and clock limits, spectrum analysis, Python experiments and practical receiver characterization.
Ansys Electronics & Semiconductor SoftwareHFSS, SIwave, Q3D, Maxwell, Icepak, HFSS-IC, RaptorX, RedHawk-SC, Totem and chip-to-system simulation.
Microwave & Space Electronics ComponentsLNAs, PAs/TWTAs, mixers, filters, PLL/VCOs, switches, ferrites, beamformers, ADC/DAC, waveguide hardware, rad-hard power and space qualification.
Radio Astronomy — RF CircuitsCryogenic LNAs, SIS mixers, feeds/OMTs, LO distribution, IF chains, ADCs, channelizers, correlators, calibration, RFI and interferometry.
Antennas & RadiationDipoles, loops, patches, horns, aperture, gain, polarization, near/far field and measurement.
Wireless & MIMOPropagation, link budgets, channel matrices, rank, multiplexing, beamforming and EVM.
3GPP StandardsNR/LTE RF requirements, UE/gNB conformance, RRM, PHY, RRC, capabilities, NSA/SA, RedCap, NTN and 5G-Advanced.
RF Bands — Compact ReferenceGSM, LTE, 5G NR, Wi-Fi/ISM, GNSS, and L/S/C/X/Ku/K/Ka/V/W microwave bands in one lookup page.
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.
Signal Integrity & Power IntegrityHigh-speed channels, eye/jitter/BER, PDN impedance, decoupling, PCIe, USB, DDR and NVIDIA GPU hardware.
Hardware Interfaces & PCB/Flex DesignPCIe, USB, Thunderbolt, I²C, SPI, UART, HDMI, controlled impedance, high-speed routing, flex/rigid-flex, CAD, SI/PI and bring-up.
Analog Mixed-Signal IC DesignBandgaps, biasing, LDOs, amplifiers, comparators, switched-cap circuits, ADC/DAC, PLLs, calibration, FinFET, layout and silicon correlation.
ADC & DAC — Data ConvertersSampling, quantization, architectures, ENOB/SNDR/SFDR, INL/DNL, jitter, settling, RF converters, JESD204, measurements and recent reviews.
High-Speed SerDes & IOTX/RX, PLL/CDR, CTLE/DFE/FFE, NRZ/PAM4, adaptation, timing closure, modeling, protocols and lab characterization.
Silicon Interfaces & SoC ImplementationPCIe, UCIe, DDR, Ethernet, RISC-V, Arm, NoC, clocks, DFT, STA, floorplanning, power intent, GDSII and tapeout.
Optics & PhotonicsFresnel physics, diffraction, fibers, lasers, guided optics and photonic systems.
Laser SystemsLaser linewidth, frequency noise, cavity locking, PDH stabilization, SHG and linewidth transfer through frequency doubling.
Power & EnergyInduction, transformers, motors, generators, magnetic materials and wireless power.
Medical ElectromagneticsMRI, RF coils, SAR, microwave imaging, ablation, hyperthermia and implants.
CT / CAT Scan PhysicsX-ray generation, attenuation, Hounsfield units, projection geometry, reconstruction, dose, detector physics and artifacts.
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.
Paul Traps — RF Ion TrappingQuadrupole RF fields, Mathieu stability, pseudopotential, secular motion, micromotion, ion crystals and trapped-ion systems.
Atomic, quantum, space and precision systems
Quantum TechnologiesAtom–field interaction, Rabi coupling, Stark/Zeeman physics, cavities, sensing and conversion.
EM Simulation of Quantum ComputingSuperconducting qubits, resonators, coupling, package modes, Purcell loss, participation ratios and quantization workflows.
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 Scientific InstrumentsInfrared and UV cameras, optical spectrometers, magnetometer booms, plasma probes, radar, radiometers, detector physics and NASA/ESA payloads.
Spacecraft ElectromagneticsInstalled antenna patterns, coupling, EMC, satellite links, payloads and launch environments.
Artemis Lunar CommunicationsOrion phased arrays, NSN/DSN handoffs, S-band RF, optical links, tracking, lunar blackouts, Gateway, relays and LunaNet.
Modern Inertial NavigationIMUs, MEMS/FOG/RLG gyros, strapdown mechanization, quaternions, drift, Kalman filtering, multisensor fusion and GNSS-denied PNT.
Modern GyroscopesMEMS Coriolis, FOG, RLG, hemispherical resonator and atom-interferometric gyros; readout, bias, noise and calibration.
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.
Advanced spacecraft, sensing and engineering systems
These chapters expand the reference from introductory electromagnetic concepts to complete measurement systems, realistic noise and calibration budgets, spacecraft verification, and quantitative numerical modeling. Browse the complete Advanced Engineering Learning Map →
Scientific Payload ElectronicsTIAs, charge amplifiers, readout noise, ADCs and synchronous detection.
Radiometry & Optical CalibrationBlackbody radiation, étendue, detector sensitivity and traceable radiance.
Spacecraft Magnetic CleanlinessMagnetic dipoles, sensor booms, spacecraft contamination and calibration.
Space Radiation EffectsTID, displacement damage, single-event effects and hardware assurance.
Spacecraft ChargingPlasma sheaths, Debye screening, surface potentials and ESD.
Precision Timing & SynchronizationAllan deviation, reference distribution, ADC jitter and coherent RF receivers.
Cryogenic & Superconducting DetectorsTES, MKID, SQUID readout, thermal noise and multiplexing.
Radio Science & Spacecraft TrackingCarrier phase, range, Doppler, occultation and deep-space instruments.
Optical Space CommunicationsDiffraction, photon counting, coherent links and pointing/acquisition/tracking.
Attitude & Precision PointingStar trackers, gyros, quaternions, reaction wheels and jitter.
Scientific Data SystemsFPGA processing, timestamping, SpaceWire, telemetry and data integrity.
Spacecraft QualificationThermal vacuum, vibration, radiation, EMC and evidence-based verification.
Inverse ElectromagneticsScattering inversion, regularization, uniqueness and field reconstruction.
RF Direction Finding & GeolocationInterferometry, MUSIC, TDOA, FDOA and multipath calibration.
Advanced Antenna MetrologyNear-to-far field transforms, probe correction, OTA measurements and uncertainty.
Multiphysics Electronics SimulationCoupled electromagnetic, electrical, thermal and mechanical behavior.
Inside a Scientific InstrumentCassini MAG, Webb detectors and DSN radio tracking from physics to data.
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.
The Day We Found the UniverseVisual memory notes on Leavitt, Slipher, Shapley, Curtis, Hubble, Lemaître, the Great Debate, galaxies and cosmic expansion.
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.