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André Baranne designed precision astronomical spectrographs, including the ELODIE spectrograph, which was used for Michel Mayor and Didier Queloz's discovery of the planetary companion to 51 Pegasi. The instrument combined broad spectral coverage with precise radial velocity measurements.
The scientific goal was to distinguish tiny stellar Doppler shifts from instrumental changes. Its design and calibration supported long-term velocity stability sufficient for detecting giant planetary companions. The original instrument paper reports the construction, data treatment and measured performance, making the observing hardware part of the explanation of the discovery.[ref]
ELODIE: A spectrograph for accurate radial velocity measurements by André Baranne and others. Abstract and instrument description: design for accurate radial velocities and measured long-term stability
Jean-Pierre Rivet coauthored measurements of stellar spatial coherence using intensity interferometry. Two separated optical telescopes recorded photon arrivals, and fast electronics measured the correlation of their intensity fluctuations.
Unlike combining optical field amplitudes directly, the experiment estimated a statistical correlation from many detected events. Observations of three bright targets tested how the contrast changed with angular source structure. The work demonstrated that modern photon-counting detectors could recover useful stellar visibilities with metre-class telescopes.[ref]
Spatial intensity interferometry on three bright stars by William Guerin and others. Author list and abstract: two-telescope arrangement, zero-delay correlation and target-dependent visibility
Farrokh Vakili coauthored a modern stellar intensity interferometry experiment using two one-metre optical telescopes separated by fifteen metres. The team correlated photon-counting signals from bright stars, reviving a technique historically associated with Robert Hanbury Brown.
The measured quantity was the zero-delay correlation between detected light intensities. Its contrast contains information about angular source structure. The team measured reliable visibilities for two marginally resolved stars and found reduced contrast for a binary star, consistent with its more extended apparent structure.[ref]
Spatial intensity interferometry on three bright stars by William Guerin and others. Author list and abstract: detector correlations, telescope dimensions, baseline and stellar comparisons
Frank Watson Dyson coauthored the report of the 1919 eclipse observations with Arthur Eddington and Charles Rundle Davidson. The experiment tested the predicted bending of stellar light passing near the Sun.
Comparing stellar positions on eclipse and reference plates tested a small radial displacement. Changes in plate scale and focus could alter the signal, so the report assessed instrumental errors alongside its gravitational interpretation.[ref]
A determination of the deflection of light by the Sun's gravitational field by Frank Watson Dyson and others. 1919 observations and 1920 report: observing arrangements, plate comparisons and inferred solar-limb deflection
Portrait of Frank Watson Dyson
. Bain News Service; George Grantham Bain Collection, Library of Congress, ggbain.30244. Public domain / no known copyright restrictions (PD-Bain). Source and usage information on the linked Wikimedia file page. Source.Arthur Eddington helped carry out the 1919 eclipse test of general relativity, observing the apparent directions of stars near the eclipsed Sun. He coauthored the resulting report with Frank Watson Dyson and Charles Rundle Davidson.
Comparing stellar positions on eclipse and reference plates tested a small radial displacement. Changes in plate scale and focus could alter the signal, so the report assessed instrumental errors alongside its gravitational interpretation.[ref]
A determination of the deflection of light by the Sun's gravitational field by Frank Watson Dyson and others. 1919 observations and 1920 report: observing arrangements, plate comparisons and inferred solar-limb deflection
Portrait of Arthur Eddington
. George Grantham Bain Collection, Library of Congress, ggbain.38064. Public domain in United States; Commons file notes territorial limits. Source and usage information on the linked Wikimedia file page. Source.For a linear time-invariant system, a sinusoidal wanted signal at and an unwanted sinusoidal component at acquire their separate frequency response factors. The ratio of their output amplitudes, divided by their input amplitude ratio, is . An amplitude attenuation factor of corresponds to a factor in squared-amplitude power ratios under a common impedance convention. The unwanted component's own absolute attenuation is , which need not equal its attenuation relative to the wanted signal.
Light Waves and Their Uses by Albert Abraham Michelson Lecture V: Light Waves as Standards of Length by
Codex 0 2026-10-18
Cited experimental account: Figures 70–77.
Chapter IV; inspected §§70–75.
Chapter III, pp. 119–155; inspected §§61–64.
The metre, symbol , is the SI base unit of measurement for length. It is defined by fixing the speed of light in vacuum to , with the second defined independently. Thus light in vacuum travels one metre in of a second.
The exact defining constant does not make every measured length exact. Realizing a length standard can involve optical interferometry, frequency references, alignment and corrections for propagation through air; their imperfections contribute to measurement uncertainty. The definition specifies the reference, whereas an experiment supplies an imperfect realization.[ref]
The International System of Units (SI), ninth edition, SI Brochure. section 2.3.1: definition of the metre
In 1947, Willis Eugene Lamb Jr. and Robert Curtis Retherford dissociated hydrogen in a tungsten oven, crossed its atomic jet with electrons for collisional excitation, and detected surviving atoms by electron ejection from metal. An electrometer and galvanometer read the current. They interrupted fixed-frequency microwaves while sweeping the static magnetic field; a flip coil calibrated the field. Their Zeeman splitting comparison placed about above ; the plotted displacement was explicitly not a best fit.[ref]
Fine Structure of the Hydrogen Atom by a Microwave Method by Willis Eugene Lamb Jr. and Robert Curtis Retherford. Fine Structure of the Hydrogen Atom by a Microwave Method, pp. 241–243, Figs. 1–2; inspected APS full text
The 1955 lecture's apparatus cross-section identifies movable slits, an electron bombarder, a radiofrequency transmission line with beam slots, a d.c. quenching electrode, metal target, electron collector, and magnet poles. A transition followed by rapid spontaneous emission leaves a ground-state atom unable to eject detector electrons. The scan holds radiofrequency and amplitude fixed. Natural linewidth and unresolved hyperfine structure broaden resonances, whose analysis yields zero-field separations.[ref]
Fine Structure of the Hydrogen Atom by Willis Eugene Lamb Jr.. Fine Structure of the Hydrogen Atom, delivered December 12, 1955; Columbia-hosted Nobel Lectures scan, printed pp. 288–290, Figs. 2–7
Static electric field quenching supplied a control. The 1947 report identifies natural linewidth, hyperfine structure, excessive microwave intensity, and field inhomogeneity as width contributions, and flags imperfect magnetic calibration. It does not specify an absolute microwave-frequency calibration procedure.[ref]
Fine Structure of the Hydrogen Atom by a Microwave Method by Willis Eugene Lamb Jr. and Robert Curtis Retherford. pp. 242–243, Fig. 1 caption and discussion of proposed refinements
Metastable beam preparation and electron-current readout
. Original functional schematic of the Lamb-Retherford measurement principle, based on the apparatus descriptions above. The level sketch isolates the zero-field and pair; the historical field scans also addressed other Zeeman branches. Geometry and energy gaps are not to scale. Details.The surname is Robert Curtis Retherford's: “Retherford” and “Rutherford” name different people. The historical Lamb-Retherford experiment should retain the former spelling.[ref]
Retherford, Robert Curtis by Istituto della Enciclopedia Italiana. Retherford, Robert Curtis, professional biography and account of the 1947 experiment
The zero-field energy levels here are averaged over hyperfine structure; is the Planck constant. Electron self-energy and vacuum polarization produce radiative corrections. Self-energy describes the bound electron's radiative interaction with its own electromagnetic field. Precision predictions also include nuclear recoil and proton charge radius effects; assigning recoil terms to the reference or Lamb shift is convention-dependent. A finite proton charge radius changes binding independently of radiative effects.[ref]
A vacuum-electric field “jiggling” picture motivates one contribution, not every hydrogen atom energy correction.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
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This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
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Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
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