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- Manley–Rowe_relations abstract "The Manley–Rowe relations are mathematical expressions developed originally for electrical engineers to predict the amount of energy in a wave that has multiple frequencies.The original papers, written by two researchers at Bell Labs, J. M. Manley and H. E. Rowe between 1956 and 1960 was for an electrical circuit containing nonlinear capacitors and inductors. One or more oscillators, operating at specified frequencies, are connected to the input of this circuit. The Manley–Rowe relations predict the energy present in waves at various frequencies, including new frequencies (such as harmonics and sidebands) that arise in the circuit due to nonlinearity. The theory is based partly on the principle of conservation of energy. It requires that energy storage in the circuit is a stationary process that varies with time only due to the oscillations and not due to some steady increase or decrease with time.Because the Manley–Rowe relations are based on general concepts like nonlinear waves and conservation of energy, their use is not limited to the original application in radio-frequency electrical circuits. They have also found use in other scientific fields, for example nonlinear optics.In the electrical circuit for the original derivation of Manley–Rowe relations, capacitors and inductors store energy from a wave and then release it. Other physical systems that involve energy storage for waves, and nonlinear generation of new waves, can make use of the same relations.John Manley and Harrison Rowe were protégés of Ralph Hartley at Bell Laboratories (although I believe that this information is not related to the Manley–Rowe relations). The work with nonlinear reactances (inductors and capacitors) was started back in 1917 by John Burton and Eugene Peterson. When Hartley joined Bell Laboratories after being part of Western Electric, he started a research group on nonlinear oscillations. This group was later joined by Peterson, Manley, and Rowe.".
- Manley–Rowe_relations wikiPageID "30246751".
- Manley–Rowe_relations wikiPageLength "3419".
- Manley–Rowe_relations wikiPageOutDegree "25".
- Manley–Rowe_relations wikiPageRevisionID "573284236".
- Manley–Rowe_relations wikiPageWikiLink Bell_Labs.
- Manley–Rowe_relations wikiPageWikiLink Capacitor.
- Manley–Rowe_relations wikiPageWikiLink Category:Applied_mathematics.
- Manley–Rowe_relations wikiPageWikiLink Category:Electrical_engineering.
- Manley–Rowe_relations wikiPageWikiLink Conservation_of_energy.
- Manley–Rowe_relations wikiPageWikiLink Electrical_engineering.
- Manley–Rowe_relations wikiPageWikiLink Electrical_network.
- Manley–Rowe_relations wikiPageWikiLink Energy.
- Manley–Rowe_relations wikiPageWikiLink Energy_storage.
- Manley–Rowe_relations wikiPageWikiLink Expression_(mathematics).
- Manley–Rowe_relations wikiPageWikiLink Harmonic.
- Manley–Rowe_relations wikiPageWikiLink Harrison_E._Rowe.
- Manley–Rowe_relations wikiPageWikiLink Inductor.
- Manley–Rowe_relations wikiPageWikiLink J._M._Manley.
- Manley–Rowe_relations wikiPageWikiLink Nonlinear_optics.
- Manley–Rowe_relations wikiPageWikiLink Nonlinear_system.
- Manley–Rowe_relations wikiPageWikiLink Oscillation.
- Manley–Rowe_relations wikiPageWikiLink Radio-frequency_engineering.
- Manley–Rowe_relations wikiPageWikiLink Ralph_Hartley.
- Manley–Rowe_relations wikiPageWikiLink Sideband.
- Manley–Rowe_relations wikiPageWikiLink Stationary_process.
- Manley–Rowe_relations wikiPageWikiLink Wave.
- Manley–Rowe_relations wikiPageWikiLinkText "Manley–Rowe constants of motion".
- Manley–Rowe_relations wikiPageWikiLinkText "Manley–Rowe relations".
- Manley–Rowe_relations wikiPageUsesTemplate Template:Reflist.
- Manley–Rowe_relations subject Category:Applied_mathematics.
- Manley–Rowe_relations subject Category:Electrical_engineering.
- Manley–Rowe_relations hypernym Expressions.
- Manley–Rowe_relations type Discipline.
- Manley–Rowe_relations type Field.
- Manley–Rowe_relations type Redirect.
- Manley–Rowe_relations type Science.
- Manley–Rowe_relations comment "The Manley–Rowe relations are mathematical expressions developed originally for electrical engineers to predict the amount of energy in a wave that has multiple frequencies.The original papers, written by two researchers at Bell Labs, J. M. Manley and H. E. Rowe between 1956 and 1960 was for an electrical circuit containing nonlinear capacitors and inductors. One or more oscillators, operating at specified frequencies, are connected to the input of this circuit.".
- Manley–Rowe_relations label "Manley–Rowe relations".
- Manley–Rowe_relations sameAs Q4428892.
- Manley–Rowe_relations sameAs m.0g55s4c.
- Manley–Rowe_relations sameAs Соотношения_Мэнли_—_Роу.
- Manley–Rowe_relations sameAs Q4428892.
- Manley–Rowe_relations wasDerivedFrom Manley–Rowe_relations?oldid=573284236.
- Manley–Rowe_relations isPrimaryTopicOf Manley–Rowe_relations.