... | ... | @@ -40,83 +40,83 @@ m_{p} & = & 0.939277 [GeV] & & & & c & = & 299792458 [m/s] |
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[cols="<,^,>,<,^,<,^,>",options="header",]
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|=======================================================================
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|Quantity |`MADX` | | |Conversion | |_OPAL-Output_ |
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|Quantity 2+^|`MADX` 3+^|Conversion 2+^|_OPAL-Output_
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|Momenta |latexmath:[\bar{p}_{x}] |[rad]
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|latexmath:[\bar{p}_{x}][latexmath:[\beta\gamma]] |=
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|latexmath:[\left(\bar{p}_{x}\left[\text{rad}\right]\right)\cdot\left(\beta\gamma\right)]
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|latexmath:[\left(\bar{p}_{x}\left[\text{rad}\right\]\right)\cdot\left(\beta\gamma\right)]
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|latexmath:[\bar{p}_{x}] |[latexmath:[\beta\gamma]]
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|Correlation of latexmath:[\bar{x}],latexmath:[\bar{p}_{x}]
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|latexmath:[\delta] |[1] |latexmath:[\delta] |=
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|latexmath:[\left(\sigma_{x p_{x}}\left[\text{m }\text{rad}\right]\right)/\left(\left(\bar{p}_{x}\left[\text{rad}\right]\right)\cdot\left(
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\bar{x}\left[\text{m}\right]\right)\right)] |latexmath:[\delta] |[1]
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|latexmath:[\left(\sigma_{x p_{x}}\left[\text{m }\text{rad}\right\]\right)/\left(\left(\bar{p}_{x}\left[\text{rad}\right\]\right)\cdot\left(
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\bar{x}\left[\text{m}\right\]\right)\right)] |latexmath:[\delta] |[1]
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|latexmath:[\left(\sigma_{x p_{x}}\left[\text{m }\text{rad}\right]\right)/\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right]\right)\cdot\left(\sigma_{ p_{x}}\left[\text{rad}^{2}\right]\right)}]
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|latexmath:[\left(\sigma_{x p_{x}}\left[\text{m }\text{rad}\right\]\right)/\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right\]\right)\cdot\left(\sigma_{ p_{x}}\left[\text{rad}^{2}\right\]\right)}]
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|Emittance |latexmath:[\epsilon_{x}] |[m rad]
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|latexmath:[\epsilon_{x}][m latexmath:[\beta\gamma]] |=
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|latexmath:[\sqrt{\left( \bar{p}_{x}\left[ \beta\gamma \right] \right) ^{2} \cdot \left(\bar{x}\left[\text{m}\right]\right)^{2} - \left(\delta \cdot \left(\bar{x}\left[\text{m}\right]\right) \cdot \left(\bar{p}_{x}\left[\beta\gamma\right]\right)\right)^{2}} ]
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|latexmath:[\sqrt{\left( \bar{p}_{x}\left[ \beta\gamma \right\] \right) ^{2} \cdot \left(\bar{x}\left[\text{m}\right\]\right)^{2} - \left(\delta \cdot \left(\bar{x}\left[\text{m}\right\]\right) \cdot \left(\bar{p}_{x}\left[\beta\gamma\right\]\right)\right)^{2}} ]
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|latexmath:[\epsilon_{x}] |[m latexmath:[\beta\gamma]]
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| | | | |=
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|latexmath:[\sqrt{\left( \sigma_{{p}_{x}}\left[ \left(\beta\gamma\right)^{2} \right] \right)\cdot
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\left(\sigma_{x}\left[\text{m}^{2}\right]\right) - \left(\delta \cdot
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\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right]\right)\cdot\left(\sigma_{p_{x}}
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\left[\left(\beta\gamma\right)^{2}\right]\right)}\right)^{2}} ] | |
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|latexmath:[\sqrt{\left( \sigma_{{p}_{x}}\left[ \left(\beta\gamma\right)^{2} \right\] \right)\cdot
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\left(\sigma_{x}\left[\text{m}^{2}\right\]\right) - \left(\delta \cdot
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\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right\]\right)\cdot\left(\sigma_{p_{x}}
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\left[\left(\beta\gamma\right)^{2}\right\]\right)}\right)^{2}} ] | |
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|latexmath:[\sqrt{\left( \sigma_{{p}_{x}}\left[ \left(\beta\gamma\right)^{2} \right] \right)\cdot
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\left(\sigma_{x}\left[\text{m}^{2}\right]\right) - \left(\sigma_{x p_{x}}\left[\text{m} ~\beta\gamma\right]\right)^{2}} ]
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|latexmath:[\sqrt{\left( \sigma_{{p}_{x}}\left[ \left(\beta\gamma\right)^{2} \right\] \right)\cdot
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\left(\sigma_{x}\left[\text{m}^{2}\right\]\right) - \left(\sigma_{x p_{x}}\left[\text{m} ~\beta\gamma\right\]\right)^{2}} ]
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|Twiss Parameter latexmath:[\alpha] |latexmath:[\alpha] |[1]
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|latexmath:[\alpha\left[1\right]] |=
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|latexmath:[-\delta\cdot\left(\bar{x}\left[\text{m}\right]\right)\cdot\left(\bar{p}_{x}\left[\beta\gamma\right]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)]
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|latexmath:[\alpha\left[1\right\]] |=
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|latexmath:[-\delta\cdot\left(\bar{x}\left[\text{m}\right\]\right)\cdot\left(\bar{p}_{x}\left[\beta\gamma\right\]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right\]\right)]
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|latexmath:[\alpha_{T}] |[1]
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|latexmath:[-\delta\cdot\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right]\right)\cdot\left(\sigma_{ p_{x}}\left[\left(\beta\gamma\right)^{2}\right]\right)}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)]
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|latexmath:[-\delta\cdot\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right\]\right)\cdot\left(\sigma_{ p_{x}}\left[\left(\beta\gamma\right)^{2}\right\]\right)}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right\]\right)]
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|Twiss Parameter latexmath:[\beta_{T}] |latexmath:[\beta_{T}]
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|[m/rad] |latexmath:[\beta_{T}\left[\text{m}/\beta\gamma\right]] |=
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|latexmath:[\left(\bar{x}\left[\text{m}\right]\right)^{2}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]
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|[m/rad] |latexmath:[\beta_{T}\left[\text{m}/\beta\gamma\right\]] |=
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|latexmath:[\left(\bar{x}\left[\text{m}\right\]\right)^{2}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right\]
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\right)] |latexmath:[\beta_{T}] |[m/latexmath:[\beta\gamma]]
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|latexmath:[\left(\sigma_{x}\left[\text{m}^{2}\right]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]
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|latexmath:[\left(\sigma_{x}\left[\text{m}^{2}\right\]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right\]
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\right)] | |
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|Twiss Parameter latexmath:[\gamma_{T}] |latexmath:[\gamma_{T}]
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|[rad/m] |latexmath:[\gamma_{T}\left[\beta\gamma/\text{m}\right]] |=
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|latexmath:[\left(\bar{p}_{x}\left[\beta\gamma\right]\right)^{2}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)]
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|[rad/m] |latexmath:[\gamma_{T}\left[\beta\gamma/\text{m}\right\]] |=
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|latexmath:[\left(\bar{p}_{x}\left[\beta\gamma\right\]\right)^{2}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right\]\right)]
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|latexmath:[\gamma_{T}] |[latexmath:[\beta\gamma]/m]
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|latexmath:[\left(\sigma_{p_{x}}\left[\left(\beta\gamma\right)^{2}\right]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)]
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|latexmath:[\left(\sigma_{p_{x}}\left[\left(\beta\gamma\right)^{2}\right\]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right\]\right)]
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|Focusing strength |latexmath:[k_{1}]
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|latexmath:[\left[\text{m}^{-2}\right]]
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|latexmath:[k_{1}\left[\text{T}/\text{m}\right]] |=
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|latexmath:[\left(k_{1}\left[\text{m}^{-2}\right]\right)\cdot\left(\text{B}\rho\left[\text{T m}\right]\right)]
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|latexmath:[k_{1}] |latexmath:[\left[\text{T}/\text{m}\right]]
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|latexmath:[\left[\text{m}^{-2}\right\]]
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|latexmath:[k_{1}\left[\text{T}/\text{m}\right\]] |=
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|latexmath:[\left(k_{1}\left[\text{m}^{-2}\right\]\right)\cdot\left(\text{B}\rho\left[\text{T m}\right\]\right)]
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|latexmath:[k_{1}] |latexmath:[\left[\text{T}/\text{m}\right\]]
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|Quantity |`MADX` | | |Conversion | |_OPAL-Input_ |
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|Quantity 2+^|`MADX` 3+^|Conversion 2+^|`OPAL-Input`
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|Element Position |`at :=` |latexmath:[\left[\text{m}\right]]
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|Element Position |`at :=` |latexmath:[\left[\text{m}\right\]]
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|`ELEMEDGE` |= |(Center of the element) - (Length of the element)/2
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|`ELEMEDGE =` |latexmath:[\left[\text{m}\right]]
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|`ELEMEDGE =` |latexmath:[\left[\text{m}\right\]]
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| |Center of the element | | | | |Begin of the element |
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|Quantity |_OPAL-Output_ | | |Conversion | |_OPAL-Input_ |
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|Quantity 2+^|`OPAL-Output` 3+^|Conversion 2+^|`OPAL-Input`
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|Momenta |latexmath:[\bar{p}_{x}]
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|latexmath:[\left[\beta\gamma\right]]
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|latexmath:[p_{x}\left[\text{eV}\right]] |=
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|latexmath:[m_{p}\cdot10^{9}\cdot\left(\sqrt{\left(\bar{p}_{x}\left[\beta\gamma\right]\right)^{2} +1}-1\right)]
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|latexmath:[\left[\beta\gamma\right\]]
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|latexmath:[p_{x}\left[\text{eV}\right\]] |=
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|latexmath:[m_{p}\cdot10^{9}\cdot\left(\sqrt{\left(\bar{p}_{x}\left[\beta\gamma\right\]\right)^{2} +1}-1\right)]
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|latexmath:[\bar{p}_{x}] |[eV]
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|======================================================================= |