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The '''flux  unit''' or '''jansky''' (symbol '''Jy''') is a non-[[SI]] unit of '''spectral [[flux density]]''',<ref>http://science.jrank.org/pages/57879/jansky.html {{dead link|date=April 2013}}</ref> or '''[[spectral irradiance]]''', equivalent to 10<sup>&minus;26</sup> [[watt]]s per [[square metre]] per [[hertz]].  The ''flux density'' or ''monochromatic flux'', <math>S</math>, of a source is the integral of the spectral radiance, <math>B</math>, over the source [[solid angle]]:


<math>S = \iint_{\mathrm{source}} B(\theta,\phi)\mathrm{d}\Omega</math>


The unit is named after pioneering US radio astronomer [[Karl Guthe Jansky]], and is defined as:
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<math>1 \ \mathrm{ Jy} = 10^{-26} \frac{ \mathrm{W} }{ \mathrm{m^2} \cdot \mathrm{Hz} }</math> ([[SI]]) <math> = 10^{-23} \frac{\mathrm{erg}}{ \mathrm{s} \cdot \mathrm{cm^2} \cdot \mathrm{Hz}  }</math> ([[centimetre gram second system of units|cgs]])<ref>{{cite book
  | author=Burke, Bernard F.; Graham-Smith, Francis
  | title=An Introduction to Radio Astronomy
  | page=9 | edition=3rd | year=2009
  | publisher=Cambridge University Press
  | isbn=0-521-87808-X }}<!-- Citation is for the first equivalence in this expression. --></ref>
 
Since the jansky is obtained by integrating over the whole source solid angle, it is most simply used to describe point sources; for example, the [[Third Cambridge Catalogue of Radio Sources]] (3C) reports results in Jy. For extended sources, the surface brightness is often described with units of Jy per solid angle; for example, Far Infra-Red (FIR) maps from the [[IRAS]] satellite are in MJy/sr.   While extended sources at all wavelengths can be reported with these units, for radio frequency maps, extended sources have traditionally been described in terms of a [[brightness temperature]]; for example the [http://adsabs.harvard.edu/abs/1985BICDS..28...49H Haslam et al.] 408&nbsp;MHz all-sky continuum survey is reported in terms of a brightness temperature in K.
 
==Unit Conversions==
 
===AB Magnitude===
 
The flux density in Jy can be converted to a magnitude basis, for suitable assumptions about the spectrum. For instance, converting an [[AB magnitude]] to a flux-density in microjanskys is straightforward:<ref name="fuk95">{{cite journal | author=M. Fukugita
| title=Galaxy Colors in Various Photometric Band Systems | journal=PASP | year=1995 | volume=107 | pages=945–958 | doi=10.1086/133643 | last2=Shimasaku | first2=K. | last3=Ichikawa | first3=T.
|bibcode = 1995PASP..107..945F }}</ref>
 
<math>S_v \ [\mathrm{\mu Jy}] = 10^{6} \cdot 10^{23} \cdot 10^{-(\mathrm{AB}+48.6)/2.5} = 10^{(23.9-\mathrm{AB})/2.5}</math>
 
===dBW/m<sup>2</sup>/Hz===
 
The linear flux density in Jy can be converted to a [[decibel]] basis, suitable for use in fields of telecommunication and radio engineering. 1 Jansky is equivalent to -260 [[Decibel watt|dBW]]/m<sup>2</sup>/Hz.<ref>http://www.iucaf.org/sschool/mike/Units_and_Calculations.ppt</ref>
 
<math>P_{dBW/m^2/Hz} = 10 \log_{10}(P_{Jy}) - 260
</math>
 
==Usage==
The flux to which the jansky refers can be in any form of energy.  It was created for and is still most frequently used in reference to electromagnetic energy, especially in the context of radio astronomy.  The brightest [[astronomical radio source]]s have flux densities of the order of one to one hundred janskys. For example, the [[Third Cambridge Catalogue of Radio Sources|3C]] lists some 300 to 400 radio sources in the Northern Hemisphere brighter than 9&nbsp;Jy at 159&nbsp;MHz.  This range makes the jansky a suitable unit for [[radio astronomy]].
 
[[Gravitational waves]] also carry energy, so their flux density can also be expressed in terms of janskys.  Though gravitational waves have never been directly observed, typical signals on Earth are expected to be 10<sup>20</sup>Jy or more.<ref>{{cite web
  | author = B. S. Sathyaprakash
  | last2 = Schutz
  | publisher = Living Reviews in Relativity
  | title = Physics, Astrophysics and Cosmology with Gravitational Waves
  | url=http://www.livingreviews.org/lrr-2009-2
  | date=2009-03-04
  | accessdate = 2011-02-01 }}</ref>  However, because of the poor coupling of gravitational waves to matter, such signals are difficult to detect.
 
It is important to understand the meaning of the ''per hertz'' component of the jansky unit. When measuring broadband continuum emissions, where the energy is roughly evenly distributed across the detector [[Bandwidth (signal processing)|bandwidth]], the detected signal will increase in proportion to the bandwidth of the detector (as opposed to signals with bandwidth narrower than the detector bandpass). To calculate the flux density in janskys, the total power detected (in watts) is divided by the receiver collecting area (in square meters), and then divided by the detector bandwidth (in hertz).  The flux density of astronomical sources is many orders of magnitude below 1 W/(m<sup>2</sup>·Hz), so the result is multiplied by 10<sup>26</sup> to get a more appropriate unit for natural astrophysical phenomena.<ref>{{cite web
  | last = Ask Dr. SETI
  | publisher = Seti League
  | title = Research: Understanding the Jansky
  | url=http://www.setileague.org/askdr/jansky.htm
  | date=2004-12-04
  | accessdate = 2007-06-13 }}</ref>
 
The milliJansky, mJy, was sometimes referred to as a milli flux unit (m.f.u.) in the astronomical literature.<ref name=Ross75>{{cite journal
| author=Ross, H.N.
| title= Variable radio source structure on a scale of several minutes of arc
| bibcode=1975ApJ...200..790R|doi = 10.1086/153851 }}</ref>
 
==Orders of magnitude==
 
{| class="wikitable"
! Jansky (Jy)
! Source
|-
| 110,000,000
| [[Radio-frequency interference]] from a [[GSM]] phone transmitting 0.5W@1800&nbsp;MHz at a distance of 1&nbsp;km ([[RSSI]] of -70 [[dBm]])<ref>http://www.iucaf.org/SSS2010/presentations/day2/Clegg(Units).ppt</ref>
|-
| 20,000,000
| [[Sunspots|Disturbed Sun]] at 20&nbsp;MHz ([[Karl Guthe Jansky]] initial discovery published in 1933)
|-
| 4,000,000
| Sun at 10&nbsp;GHz
|-
| 1,000,000
| [[Milky Way]] at 20&nbsp;MHz
|-
| 2,000
| [[Milky Way]] at 10&nbsp;GHz
|-
| 1,000
| [[Sunspots|Quiet Sun]] at 20&nbsp;MHz
|}
 
Note: unless noted, all values are as seen from earth surface.<ref>{{cite book
  | author=John Daniel Kraus
  | title=Radio Astronomy
  | isbn=1882484002 }}, table: radio spectrum of astronomical sources: http://astro.u-strasbg.fr/~koppen/10GHz/basics.html</ref>
 
==References==
{{reflist}}
 
[[Category:Radio astronomy]]
[[Category:Units of measurement]]
[[Category:Non-SI metric units]]
[[Category:Units of measurement in astronomy]]

Latest revision as of 17:35, 21 December 2014


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