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Radiant energy

From Wikipedia, the free encyclopedia
Energy carried by electromagnetic or gravitational radiation
Not to be confused withThermal radiation.
Visible light such assunlight carries radiant energy, which is used insolar power generation.

Inphysics, and in particular as measured byradiometry,radiant energy is theenergy ofelectromagnetic[1] andgravitational radiation. As energy, its SI unit is thejoule (J). The quantity of radiant energy may be calculated byintegratingradiant flux (orpower) with respect totime. The symbolQe is often used throughout literature to denote radiant energy ("e" for "energetic", to avoid confusion with photometric quantities). In branches of physics other than radiometry, electromagnetic energy is referred to usingE orW. The term is used particularly when electromagnetic radiation is emitted by a source into the surrounding environment. This radiation may be visible or invisible to the human eye.[2][3]

Terminology use and history

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The term "radiant energy" is most commonly used in the fields ofradiometry,solar energy,heating andlighting, but is also sometimes used in other fields (such astelecommunications). In modern applications involving transmission of power from one location to another, "radiant energy" is sometimes used to refer to the electromagnetic wavesthemselves, rather than theirenergy (a property of the waves). In the past, the term "electro-radiant energy" has also been used.[4]

The term "radiant energy" also applies togravitational radiation.[5][6] For example, thefirst gravitational waves ever observed were produced by a black hole collision that emitted about 5.3×1047 joules of gravitational-wave energy.[7]

Analysis

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Cherenkov radiation glowing in the core of aTRIGA reactor.

Because electromagnetic (EM) radiation can be conceptualized as a stream ofphotons, radiant energy can be viewed asphoton energy – the energy carried by these photons. Alternatively, EM radiation can be viewed as an electromagnetic wave, which carries energy in its oscillating electric and magnetic fields. These two views are completely equivalent and are reconciled to one another inquantum field theory (seewave-particle duality).[8]

EM radiation can have variousfrequencies. The bands of frequency present in a given EM signal may be sharply defined, as is seen inatomic spectra, or may be broad, as inblackbody radiation. In the particle picture, the energy carried by each photon is proportional to its frequency. In the wave picture, the energy of a monochromatic wave is proportional to itsintensity[citation needed]. This implies that if two EM waves have the same intensity, but different frequencies, the one with the higher frequency "contains" fewer photons, since each photon is more energetic.

When EM waves areabsorbed by an object, the energy of the waves is converted toheat (or converted to electricity in case of aphotoelectric material). This is a very familiar effect, since sunlight warms surfaces that it irradiates. Often this phenomenon is associated particularly withinfrared radiation, but any kind of electromagnetic radiation will warm an object that absorbs it. EM waves can also bereflected orscattered, in which case their energy is redirected or redistributed as well.

Open systems

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Radiant energy is one of the mechanisms by which energy can enter or leave anopen system.[9][10][11] Such a system can be man-made, such as asolar energy collector, or natural, such as theEarth's atmosphere. Ingeophysics, most atmospheric gases, including thegreenhouse gases, allow the Sun's short-wavelength radiant energy to pass through to the Earth's surface, heating the ground and oceans. The absorbed solar energy is partly re-emitted as longer wavelength radiation (chiefly infrared radiation), some of which is absorbed by the atmospheric greenhouse gases. Radiant energy is produced in the sun as a result ofnuclear fusion.[12]

Applications

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Radiant energy is used forradiant heating.[13] It can be generated electrically byinfrared lamps, or can be absorbed fromsunlight and used to heat water. The heat energy is emitted from a warm element (floor, wall, overhead panel) and warms people and other objects in rooms rather than directly heating the air. Because of this, the air temperature may be lower than in a conventionally heated building, even though the room appears just as comfortable.

Various other applications of radiant energy have been devised.[14] These include treatment and inspection, separating and sorting, medium of control, and medium of communication. Many of these applications involve a source of radiant energy and a detector that responds to that radiation and provides a signal representing some characteristic of the radiation. Radiant energy detectors produce responses to incident radiant energy either as an increase or decrease inelectric potential orcurrent flow or some other perceivable change, such as exposure ofphotographic film.

SI radiometry units

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SI radiometry units
QuantityUnitDimensionNotes
NameSymbol[nb 1]NameSymbol
Radiant energyQe[nb 2]jouleJML2T−2Energy of electromagnetic radiation.
Radiant energy densitywejoule per cubic metreJ/m3ML−1T−2Radiant energy per unit volume.
Radiant fluxΦe[nb 2]wattW = J/sML2T−3Radiant energy emitted, reflected, transmitted or received, per unit time. This is sometimes also called "radiant power", and calledluminosity in astronomy.
Spectral fluxΦe,ν[nb 3]watt perhertzW/HzML2T −2Radiant flux per unit frequency or wavelength. The latter is commonly measured in W⋅nm−1.
Φe,λ[nb 4]watt per metreW/mMLT−3
Radiant intensityIe,Ω[nb 5]watt persteradianW/srML2T−3Radiant flux emitted, reflected, transmitted or received, per unit solid angle. This is adirectional quantity.
Spectral intensityIe,Ω,ν[nb 3]watt per steradian per hertzW⋅sr−1⋅Hz−1ML2T−2Radiant intensity per unit frequency or wavelength. The latter is commonly measured in W⋅sr−1⋅nm−1. This is adirectional quantity.
Ie,Ω,λ[nb 4]watt per steradian per metreW⋅sr−1⋅m−1MLT−3
RadianceLe,Ω[nb 5]watt per steradian per square metreW⋅sr−1⋅m−2MT−3Radiant flux emitted, reflected, transmitted or received by asurface, per unit solid angle per unit projected area. This is adirectional quantity. This is sometimes also confusingly called "intensity".
Spectral radiance
Specific intensity
Le,Ω,ν[nb 3]watt per steradian per square metre per hertzW⋅sr−1⋅m−2⋅Hz−1MT−2Radiance of asurface per unit frequency or wavelength. The latter is commonly measured in W⋅sr−1⋅m−2⋅nm−1. This is adirectional quantity. This is sometimes also confusingly called "spectral intensity".
Le,Ω,λ[nb 4]watt per steradian per square metre, per metreW⋅sr−1⋅m−3ML−1T−3
Irradiance
Flux density
Ee[nb 2]watt per square metreW/m2MT−3Radiant fluxreceived by asurface per unit area. This is sometimes also confusingly called "intensity".
Spectral irradiance
Spectral flux density
Ee,ν[nb 3]watt per square metre per hertzW⋅m−2⋅Hz−1MT−2Irradiance of asurface per unit frequency or wavelength. This is sometimes also confusingly called "spectral intensity". Non-SI units of spectral flux density includejansky (1 Jy =10−26 W⋅m−2⋅Hz−1) andsolar flux unit (1 sfu =10−22 W⋅m−2⋅Hz−1 =104 Jy).
Ee,λ[nb 4]watt per square metre, per metreW/m3ML−1T−3
RadiosityJe[nb 2]watt per square metreW/m2MT−3Radiant fluxleaving (emitted, reflected and transmitted by) asurface per unit area. This is sometimes also confusingly called "intensity".
Spectral radiosityJe,ν[nb 3]watt per square metre per hertzW⋅m−2⋅Hz−1MT−2Radiosity of asurface per unit frequency or wavelength. The latter is commonly measured in W⋅m−2⋅nm−1. This is sometimes also confusingly called "spectral intensity".
Je,λ[nb 4]watt per square metre, per metreW/m3ML−1T−3
Radiant exitanceMe[nb 2]watt per square metreW/m2MT−3Radiant fluxemitted by asurface per unit area. This is the emitted component of radiosity. "Radiant emittance" is an old term for this quantity. This is sometimes also confusingly called "intensity".
Spectral exitanceMe,ν[nb 3]watt per square metre per hertzW⋅m−2⋅Hz−1MT−2Radiant exitance of asurface per unit frequency or wavelength. The latter is commonly measured in W⋅m−2⋅nm−1. "Spectral emittance" is an old term for this quantity. This is sometimes also confusingly called "spectral intensity".
Me,λ[nb 4]watt per square metre, per metreW/m3ML−1T−3
Radiant exposureHejoule per square metreJ/m2MT−2Radiant energy received by asurface per unit area, or equivalently irradiance of asurface integrated over time of irradiation. This is sometimes also called "radiant fluence".
Spectral exposureHe,ν[nb 3]joule per square metre per hertzJ⋅m−2⋅Hz−1MT−1Radiant exposure of asurface per unit frequency or wavelength. The latter is commonly measured in J⋅m−2⋅nm−1. This is sometimes also called "spectral fluence".
He,λ[nb 4]joule per square metre, per metreJ/m3ML−1T−2
See also:
  1. ^Standards organizations recommend that radiometricquantities should be denoted with suffix "e" (for "energetic") to avoid confusion with photometric orphoton quantities.
  2. ^abcdeAlternative symbols sometimes seen:W orE for radiant energy,P orF for radiant flux,I for irradiance,W for radiant exitance.
  3. ^abcdefgSpectral quantities given per unitfrequency are denoted with suffix "ν" (Greek letternu, not to be confused with a letter "v", indicating a photometric quantity.)
  4. ^abcdefgSpectral quantities given per unitwavelength are denoted with suffix "λ".
  5. ^abDirectional quantities are denoted with suffix "Ω".

See also

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Notes and references

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  1. ^"Radiant energy".Federal standard 1037C
  2. ^George Frederick Barker,Physics: Advanced Course, page 367
  3. ^Hardis, Jonathan E., "Visibility of Radiant Energy".PDF.
  4. ^Examples:US 1005338  "Transmitting apparatus",US 1018555  "Signaling by electroradiant energy", andUS 1597901  "Radio apparatus".
  5. ^Kennefick, Daniel (2007-04-15).Traveling at the Speed of Thought: Einstein and the Quest for Gravitational Waves.Princeton University Press.ISBN 978-0-691-11727-0. Retrieved9 March 2016.
  6. ^Sciama, Dennis (17 February 1972)."Cutting the Galaxy's losses".New Scientist: 373. Retrieved9 March 2016.[permanent dead link]
  7. ^Abbott, B.P. (11 February 2016)."Observation of Gravitational Waves from a Binary Black Hole Merger".Physical Review Letters.116 (6) 061102.arXiv:1602.03837.Bibcode:2016PhRvL.116f1102A.doi:10.1103/PhysRevLett.116.061102.PMID 26918975.
  8. ^Longair, Malcolm (2013). "Chapter 9: The wave–particle duality".Quantum Concepts in Physics. Cambridge University Press.ISBN 978-1-107-01709-2.
  9. ^Moran, M.J. and Shapiro, H.N.,Fundamentals of Engineering Thermodynamics, Chapter 4. "Mass Conservation for an Open System", 5th Edition, John Wiley and Sons.ISBN 0-471-27471-2.
  10. ^Robert W. Christopherson,Elemental Geosystems, Fourth Edition. Prentice Hall, 2003. Pages 608.ISBN 0-13-101553-2
  11. ^James Grier Miller and Jessie L. Miller,The Earth as a SystemArchived 2021-04-22 at theWayback Machine.
  12. ^Energy transformation. assets.cambridge.org. (excerpt)
  13. ^US 1317883  "Method of generating radiant energy and projecting same through free air for producing heat"
  14. ^Class 250, Radiant EnergyArchived 2009-07-03 at theWayback Machine, USPTO. March 2006.

Further reading

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  • Caverly, Donald Philip,Primer of Electronics and Radiant Energy. New York, McGraw-Hill, 1952.
  • Whittaker, E. T. (Apr 1929). "What is energy?".The Mathematical Gazette.14 (200). The Mathematical Association:401–406.doi:10.2307/3606954.JSTOR 3606954.S2CID 187889019.

ELF
3 Hz/100 Mm
30 Hz/10 Mm

SLF
30 Hz/10 Mm
300 Hz/1 Mm

ULF
300 Hz/1 Mm
3 kHz/100 km

VLF
3 kHz/100 km
30 kHz/10 km

LF
30 kHz/10 km
300 kHz/1 km

MF
300 kHz/1 km
3 MHz/100 m

HF
3 MHz/100 m
30 MHz/10 m

VHF
30 MHz/10 m
300 MHz/1 m

UHF
300 MHz/1 m
3 GHz/100 mm

SHF
3 GHz/100 mm
30 GHz/10 mm

EHF
30 GHz/10 mm
300 GHz/1 mm

THF
300 GHz/1 mm
3 THz/0.1 mm

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