... | ... | @@ -556,8 +556,8 @@ E1=0, E2=0, |
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....
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+
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.TRACE 3D and _OPAL_ comparison: SBEND without edge angles,
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image:figures/Benchmarks/SBEND_noEdge_Env.png[width=350]
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image:figures/Benchmarks/SBEND_noEdge_Emi.png[width=350]
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image:figures/Benchmarks/SBEND_noEdge_Env.png[width=340]
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image:figures/Benchmarks/SBEND_noEdge_Emi.png[width=340]
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+
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A good overall agreement has been found between the two codes in term of
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beam size and emittance. The different behavior inside the bending
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... | ... | @@ -572,8 +572,8 @@ E1=10*Pi/180.0, E2=5* Pi/180.0, |
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....
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+
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.TRACE 3D and _OPAL_ comparison: SBEND with edge angles
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image:figures/Benchmarks/SBEND_Edges_Env.png[width=350]
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image:figures/Benchmarks/SBEND_Edges_Emi.png[width=350]
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image:figures/Benchmarks/SBEND_Edges_Env.png[width=340]
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image:figures/Benchmarks/SBEND_Edges_Emi.png[width=340]
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+
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Even in this case, a good overall agreement has been found between the
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two codes in term of beam size and emittance.
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... | ... | @@ -613,8 +613,8 @@ E1=0, E2=0, |
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....
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+
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.TRACE 3D and _OPAL_ comparison: SBEND with field index and default field map
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image:figures/Benchmarks/FI_SBEND_FMDef_Env_T2.png[width=350]
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image:figures/Benchmarks/FI_SBEND_FMDef_Emi_T2.png[width=350]
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image:figures/Benchmarks/FI_SBEND_FMDef_Env_T2.png[width=340]
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image:figures/Benchmarks/FI_SBEND_FMDef_Emi_T2.png[width=340]
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+
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Concerning the emittances and vertical beam size, a perfect agreement
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has been found, instead a defocusing effect appears in the horizontal
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... | ... | @@ -625,8 +625,8 @@ which the fringe field extension has been changed in the thin lens |
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approximation.
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+
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.TRACE 3D and _OPAL_ comparison: SBEND with field index and test field map
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image:figures/Benchmarks/FI_SBEND_FMTest_Env_T2.png[width=350]
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image:figures/Benchmarks/FI_SBEND_FMTest_Emit_T2.png[width=350]
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image:figures/Benchmarks/FI_SBEND_FMTest_Env_T2.png[width=340]
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image:figures/Benchmarks/FI_SBEND_FMTest_Emit_T2.png[width=340]
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[[ssec:T3DtoOPAL]]
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From TRACE 3D to _OPAL-t_
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... | ... | @@ -875,8 +875,7 @@ with |
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latexmath:[\epsilon_x(x, P_x) = \sqrt{\langle x^2 \rangle \langle P_x^2\rangle - \langle xP_x \rangle^2}]
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where latexmath:[P_x = \beta\gamma x'], not the trace-like emittance
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which is calculated as
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latexmath:[\epsilon_x(x, x') = \beta\gamma\sqrt{\langle x^2 \rangle \langle x'^2 \rangle - \langle xx' \rangle^2}]
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latexmath:[\epsilon_x (x, x') = \beta \gamma \sqrt{\langle x^2 \rangle \langle x'^{2} \rangle - \langle xx' \rangle^2}]
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[prstab2003]. In Figure [plot-emit-csr-on], a trace-like horizontal
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emittance is also calcualted for the _OPAL_ output beam distributions.
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Like the ELEGANT result, this trace-like emittance doesn’t grow in the
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... | ... | |