Useful reference for dead time could be used to improve the article.
Physics and radiobiology of nuclear medicine
Possible improvements include:
- More information
- Addition of paralysable/non-paralysable system graph
- Graphic display of the effect of the two types of counting systems, showing dead time loss
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At a particular angle of incidence, (also known as Brewster's angle), the reflectivity, . From the Fresnel equation for the reflectivity of a wave with an electric field polarized parallel to the plane of incidence;
![{\displaystyle r_{\parallel }={\frac {n_{1}\cos \theta _{\mathrm {T} }-n_{2}\cos \theta _{\mathrm {B} }}{n_{1}\cos \theta _{\mathrm {T} }+n_{2}\cos \theta _{\mathrm {B} }}}=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9908f7ac74d63e1fa3d26a70d91a8499274183b4)
where is the angle of transmission.
From this;
![{\displaystyle n_{1}\cos \theta _{\mathrm {T} }=n_{2}\cos \theta _{\mathrm {B} }}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e36509bdf88df7fc7383f0744b5046e7a941ae5e)
Using simple geometry, the condition that the refracted light is perpendicular to the reflected light can be expressed as;
![{\displaystyle \theta _{\mathrm {B} }+\theta _{\mathrm {T} }=90^{\circ }}](https://wikimedia.org/api/rest_v1/media/math/render/svg/254bae6360b1773eb21503118cd01dd96f0ae275)
We then obtain;
![{\displaystyle n_{1}\cos \left({\frac {\pi }{2}}-\theta _{\mathrm {B} }\right)=n_{1}\sin \theta _{\mathrm {B} }=n_{2}\cos \theta _{\mathrm {B} }}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9f89b92af24b4f8e90b7330acb0cc27fdfe672c9)
Using trigonometric identities, this rearranges to;
![{\displaystyle {\frac {\sin \theta _{\mathrm {B} }}{\cos \theta _{\mathrm {B} }}}=\tan \theta _{\mathrm {B} }={\frac {n_{2}}{n_{1}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/338120d0adf909203cbca13df23912255bb3c216)
Incorporate alternative version of ideal gas equation:
![{\displaystyle P={\frac {\rho RT}{\mu }}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f71eaf30e60c00ff5a89918684534ee330eb2fae)
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