Wave

Wave
Roger McLassus · CC BY-SA 3.0 · source
Name	Wave
Field	Physics
Introduced	Antiquity

Wave

A wave is a disturbance that transfers energy through a medium or field, described across Isaac Newton and James Clerk Maxwell frameworks and studied in contexts such as Thomas Young's interference and Albert Einstein's quantum theories. Waves appear in domains ranging from Antony van Leeuwenhoek's observations of fluid motion to modern LIGO detections and are foundational to phenomena explored at institutions like CERN and Bell Labs. Their analysis draws on formalisms developed by Leonhard Euler, Jean-Baptiste Joseph Fourier, and Lord Kelvin, informing technologies by Guglielmo Marconi, Alexander Graham Bell, and Samuel Morse.

Definition and Classification

A wave is defined via models established by Christiaan Huygens and formalized by Augustin-Jean Fresnel and Émilie du Châtelet as a propagating oscillation of physical quantities, classified into categories such as mechanical waves exemplified by experiments at Swansea University's tidal studies and electromagnetic waves characterized in Maxwell's Treatise. Classification includes transverse and longitudinal classes referenced in analyses by George Gabriel Stokes and in applications at Bell Labs Research and AT&T. Further subcategories—dispersive versus nondispersive—are employed in descriptions used by Royal Society and in standards by IEEE.

Properties and Mathematical Description

Wave properties such as amplitude, frequency, wavelength, phase velocity, and group velocity are quantified through equations introduced by Joseph-Louis Lagrange and refined in Fourier analysis as used by Norbert Wiener and John von Neumann. The wave equation, originally treated by Jean le Rond d'Alembert and extended by Sofia Kovalevskaya, relates second derivatives in space and time and underpins modal solutions applied in MIT laboratories and Princeton University research. Superposition principle, linearity, and boundary conditions appear in treatments by Lord Rayleigh and in computational implementations at Los Alamos National Laboratory and NASA.

Types of Waves

Mechanical waves include water waves studied by John Scott Russell and seismic waves recorded by networks coordinated by United States Geological Survey and USGS partners; types include primary and secondary waves identified by Andrija Mohorovičić and Beno Gutenberg. Electromagnetic waves span radio to gamma rays, classified in spectra cataloged by Max Planck and used in technologies by Marconi Company and Nokia. Matter waves arise from Louis de Broglie's hypothesis and are central to experiments at Cavendish Laboratory and Bell Labs. Other classes include solitons first observed by John Scott Russell and topological waves studied in contexts like Princeton and Harvard condensed matter groups.

Generation and Propagation

Wave generation mechanisms were analyzed by Huygens and engineered by inventors like Heinrich Hertz and Nikola Tesla in radio experiments at University of Karlsruhe and Columbia University. Propagation through media involves impedance, attenuation, and scattering discussed in Scattering theory advanced by Lord Rayleigh and Erwin Schrödinger's formulations, and measured in field campaigns by NOAA and European Space Agency. Reflection, refraction, and diffraction at interfaces are governed by principles demonstrated by Fresnel and applied in optics at Bell Labs and Caltech.

Interactions and Phenomena

Interactions such as interference, diffraction, and polarization trace to classic experiments by Thomas Young and Augustin-Jean Fresnel and inform technologies developed at Bell Labs, RCA, and IBM. Nonlinear interactions produce harmonics and mixing observed in plasma experiments at Lawrence Livermore National Laboratory and combustion studies at Sandia National Laboratories. Quantum phenomena—entanglement and wavefunction collapse—stem from debates involving Niels Bohr and Albert Einstein and underpin devices from IBM Research to D-Wave Systems.

Applications and Technologies

Wave-based applications include communication systems pioneered by Marconi and Guglielmo Marconi Company and modern cellular networks developed by AT&T and Ericsson. Imaging and sensing rely on ultrasonic methods from Paul Langevin and electromagnetic techniques used at GE Healthcare and Siemens Healthineers. Energy harvesting harnesses tidal and wave power in projects by Siemens and Ørsted and underpins renewable strategies promoted by International Energy Agency. Remote sensing and astronomy utilize radio telescopes such as Arecibo Observatory and interferometers like Very Large Array and ALMA.

Historical Development and Key Contributors

Historical development spans ancient observations in Aristotle and Archimedes through formalizations by Huygens, Fresnel, and Young, to mathematical consolidation by d'Alembert, Euler, and Fourier. Key contributors in modern eras include Maxwell for electromagnetism, de Broglie for matter waves, and experimentalists like Heinrich Hertz and Ernst Mach; institutions such as Royal Institution, Cambridge University, and University of Göttingen were central hubs. Contemporary advances arise from collaborations at CERN, LIGO Laboratory, and national laboratories including Los Alamos National Laboratory and Lawrence Berkeley National Laboratory.

Category:Physics