## Demonstration of Reverse Emittance Exchange in MICE » History » Revision 12

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*(Mohayai, Tanaz Angelina, 14 August 2018 19:27)*
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h1. Demonstration of Reverse Emittance Exchange in MICE (Preliminary) {{toc}} h2. Abstract bq. Published in: Forthcoming arXiv: Forthcoming RAL Preprint: Forthcoming DOI: Forthcoming BibTeX References Source ---- *Presented at "NuFact18":https://indico.phys.vt.edu/event/34/timetable/?view=standard:* * Yagmur Torun's presentation: ** Presentation: attachment:forthcoming * Paul Soler's presentation: ** Presentation: attachment:forthcoming ---- h2. x vs pz (Data) !hist2d_data_us_x_pz_2.png! attachment:hist2d_data_us_x_pz_2.png !x_p_us_hist_data_1.png! attachment:x_p_us_hist_data_1.png _The distribution of pz vs x upstream of the absorber_ !hist2d_data_ds_x_pz_2.png! attachment:hist2d_data_ds_x_pz_2.png !x_p_ds_hist_data_1.png! attachment:x_p_ds_hist_data_1.png _The distribution of pz vs x downstream of the absorber. The downstream muon sample has a more spread-out longitudinal momentum as a result of reverse emittance exchange._ ---- h2. x vs pz and density versus average beam radius (MC recon) !hist2d_mc_us_x_pz_2.png! attachment:hist2d_mc_us_x_pz_2.png !x_p_us_hist_mc_recon_1.png! attachment:x_p_us_hist_mc_recon_1.png _The distribution of pz vs x upstream of the absorber_ !hist2d_mc_ds_x_pz_2.png! attachment:hist2d_mc_ds_x_pz_2.png !x_p_ds_hist_mc_recon_1.png! attachment:x_p_ds_hist_mc_recon_1.png _The distribution of pz vs x downstream of the absorber. The downstream muon sample has a more spread-out longitudinal momentum as a result of reverse emittance exchange._ !density_vs_volume_mc_recon_long_1.png! attachment:density_vs_volume_mc_recon_long_1.png !density_vs_volume_mc_recon_long_2.png! attachment:density_vs_volume_mc_recon_long_2.png !density_vs_volume_mc_recon_long_3.png! attachment:density_vs_volume_mc_recon_long_3.png _The distribution of density of each phase-space contour, as measured with the kernel density estimation technique vs the contour volume, as measured with the kernel density estimation and the Monte Carlo volume calculation techniques. The coordinate in the longitudinal direction is energy (E- Emean, energy with respect to mean energy) of each muon (momentum coordinates used in computing the energy are px/pmean, py/pmean, pz/pmean). Longitudinal heating (the expected effect from reverse emittance exchange) is demonstrated as the decrease in density at low average beam radius values._ !density_vs_volume_mc_recon_trans_1.png! attachment:density_vs_volume_mc_recon_trans_1.png !density_vs_volume_mc_recon_trans_2.png! attachment:density_vs_volume_mc_recon_trans_2.png !density_vs_volume_mc_recon_trans_3.png! attachment:density_vs_volume_mc_recon_trans_3.png _The distribution of density of each phase-space contour, as measured with the kernel density estimation technique vs the fourth-root of contour volume (average beam radius in the four-dimensional transverse direction), as measured with the kernel density estimation and the Monte Carlo volume calculation techniques. The coordinates are the transverse coordinates x, px/pmean, y, py/pmean of each muon. Transverse cooling (the expected effect from reverse emittance exchange) is demonstrated as the increase in density at low average beam radius values._ ---- !us_e.png! attachment:us_e.png !ds_e.png! attachment:ds_e.png _The energy (E - Emean) distributions upstream (top) and downstream (bottom) of the wedge. wegde. The energy coordinate is the same as the one used in generating the longitudinal density-vs-volume plots above_ ---- _Following a discussion, it was recommended not to scale the momentum coordinates to the total energy and to avoid subtracting by the average energy. The energy distribution and the new density vs volume plots are produced based on a direct evaluation of the KDE over the momentum coordinates, px, py, and pz (without scaling to total momentum) ad the energy coordinate is no longer E - <E> and is directly E of each muon:_