SINAD: Difference between revisions

Revision as of 12:49, 9 September 2013

Specific detectivity, or D*, for a photodetector is a figure of merit used to characterize performance, equal to the reciprocal of noise-equivalent power (NEP), normalized per square root of the sensor's area and frequency bandwidth (reciprical of its sampling rate).

Specific detectivity is given by $D^{*}={\frac {\sqrt {Af}}{NEP}}$ , where $A$ is the area of the photosensitive region of the detector and $f$ is the frequency bandwidth. It is commonly expressed in Jones units ( $cm\cdot {\sqrt {Hz}}/W$ )in honor of R. Clark Jones who originally defined it.^[1]^[2]

Given that noise-equivalent power can be expressed as a function of the responsivity ${\mathfrak {R}}$ (in units of $A/W$ or $V/W$ ) and the noise spectral density $S_{n}$ (in units of $A/Hz^{1/2}$ or $V/Hz^{1/2}$ ) as $NEP={\frac {S_{n}}{\mathfrak {R}}}$ , it's common to see the specific detectivity expressed as $D^{*}={\frac {{\mathfrak {R}}\cdot {\sqrt {A}}}{S_{n}}}$ .

It is often useful to express the specific detectivity in terms of relative noise levels present in the device. A common expression is given below.

$D^{*}={\frac {q\lambda \eta }{hc}}\left[{\frac {4kT}{R_{0}A}}+2q^{2}\eta \Phi _{b}\right]^{-1/2}$

With q as the electronic charge, $\lambda$ is the wavelength of interest, h is Planck's constant, c is the speed of light, k is Boltzmann's constant, T is the temperature of the detector, $R_{0}A$ is the zero-bias dynamic resistance area product (often measured experimentally, but also expressible in noise level assumptions), $\eta$ is the quantum efficiency of the device, and $\Phi _{b}$ is the total flux of the source (often a blackbody) in photons/sec/cm².

References

↑ R. C. Jones, "Quantum efficiency of photoconductors," Proc. IRIS 2, 9 (1957)
↑ R. C. Jones, "Proposal of the detectivity D** for detectors limited by radiation noise," J. Opt. Soc. Am. 50, 1058 (1960), 21 year-old Glazier James Grippo from Edam, enjoys hang gliding, industrial property developers in singapore developers in singapore and camping. Finds the entire world an motivating place we have spent 4 months at Alejandro de Humboldt National Park.)

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[1] R. C. Jones, "Quantum efficiency of photoconductors," Proc. IRIS 2, 9 (1957)

[2] R. C. Jones, "Proposal of the detectivity D** for detectors limited by radiation noise," J. Opt. Soc. Am. 50, 1058 (1960), 21 year-old Glazier James Grippo from Edam, enjoys hang gliding, industrial property developers in singapore developers in singapore and camping. Finds the entire world an motivating place we have spent 4 months at Alejandro de Humboldt National Park.)

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+'''Specific detectivity''', or '''''D*''''', for a [[photodetector]] is a [[figure of merit]] used to characterize performance, equal to the reciprocal of [[noise-equivalent power]] (NEP), normalized per square root of the sensor's area and frequency bandwidth (reciprical of its sampling rate).
+Specific detectivity is given by <math>D^*=\frac{\sqrt{Af}}{NEP}</math>, where <math>A</math> is the area of the photosensitive region of the detector and <math>f</math> is the frequency bandwidth. It is commonly expressed in ''Jones'' units (<math>cm \cdot \sqrt{Hz}/ W</math>)in honor of R. Clark Jones who originally defined it.<ref>R. C. Jones, "Quantum efficiency of photoconductors," ''Proc. IRIS'' '''2''', 9 (1957)</ref><ref>R. C. Jones, "Proposal of the detectivity D** for detectors limited by radiation noise," ''J. Opt. Soc. Am.'' '''50''', 1058 (1960), {{doi|10.1364/JOSA.50.001058}})</ref>
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+Given that [[noise-equivalent power]] can be expressed as a function of the [[responsivity]] <math>\mathfrak{R}</math> (in units of <math>A/W</math> or <math>V/W</math>) and the [[noise spectral density]] <math>S_n</math> (in units of <math>A/Hz^{1/2}</math> or <math>V/Hz^{1/2}</math>) as <math>NEP=\frac{S_n}{\mathfrak{R}}</math>, it's common to see the specific detectivity expressed as <math>D^*=\frac{\mathfrak{R}\cdot\sqrt{A}}{S_n}</math>.
+It is often useful to express the specific detectivity in terms of relative noise levels present in the device. A common expression is given below.
+<math>D^* = \frac{q\lambda \eta}{hc} \left[\frac{4kT}{R_0 A}+2q^2 \eta \Phi_b\right]^{-1/2}</math>
+With ''q'' as the electronic charge, <math>\lambda</math> is the wavelength of interest, ''h'' is Planck's constant, ''c'' is the speed of light, ''k'' is Boltzmann's constant, ''T'' is the temperature of the detector, <math>R_0A</math> is the zero-bias dynamic resistance area product (often measured experimentally, but also expressible in noise level assumptions), <math>\eta</math> is the quantum efficiency of the device, and <math>\Phi_b</math> is the total flux of the source (often a blackbody) in photons/sec/cm².
+== References ==
+<div class="references-small" style="-moz-column-count:1; column-count:1;">
+<references/></div>
+[[Category:Physical quantities]]
+{{FS1037C}}
+[[Category:Infrared imaging]]
+{{physics-stub}}

SINAD: Difference between revisions

Revision as of 12:49, 9 September 2013

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