1. 1 September 09Mark Rayner – Emittance measurement by The TOFs1 Emittance measurement by the TOFs Via trace space reconstruction of individual muons. Complementary to the measurement of momentum presented at the last analysis meeting.

2. 1 September 09Mark Rayner – Emittance measurement by The TOFs2 Iterative track reconstruction Last meeting: iterative momentum reconstruction by the TOFs –Path length s ~ z TOF1 – z TOF0 –  Calculate p from p/E=s/t –Calculate transfer map TOF0  TOF1 –  Deduce (x 0 ’, y 0 ’) from (x 1, y 1 ) –Track particle from TOF0  TOF1 –  Measure path length s –Calculate better p from p/E=s/t –Iterate if necessary Note that this method has also reconstructed x 0 ’ and y 0 ’ We can just as easily deduce (x 1 ’, y 1 ’) from (x 0, y 0 ) Can we make useful –Plots of trace space? –Measurements of emittance? All Monte Carlos from a realistic G4BeamLine 6mm emittance 200 MeV/c centre of absorber momentum beam simulated in G4MICE

3. 1 September 09Mark Rayner – Emittance measurement by The TOFs3 TOF0 x mm: x’ radians Truth Reconstruction

4. 1 September 09Mark Rayner – Emittance measurement by The TOFs4 TOF1 x mm: x’ radians Truth Reconstruction

5. 1 September 09Mark Rayner – Emittance measurement by The TOFs5 TOF0 y mm: y’ radians Truth Reconstruction

6. 1 September 09Mark Rayner – Emittance measurement by The TOFs6 TOF1 y mm: y’ radians Truth Reconstruction

7. 1 September 09Mark Rayner – Emittance measurement by The TOFs7 Comparison of true and reconstructed covariance matrices Truth Covariance matrix (mm and radians): –{{4578.3, -1.0025}, {-1.0025, 0.00093121}} Emittance 1.805 mm (Beta, Alpha, Gamma) –(2536.3 mm, 0.555350, 0.000516 mm-1) Covariance matrix (mm and radians): –{{4249.2, -0.9630}, {-0.9630, 0.00156819}} Emittance 2.395 mm (Beta, Alpha, Gamma) –(1774.2 mm, 0.402070, 0.000655 mm-1) Covariance matrix (mm and radians): –{{3301.9, -0.0227}, {-0.0227, 0.00010886}} Emittance 0.599 mm (Beta, Alpha, Gamma) –(5511.4 mm, 0.037859, 0.000182 mm-1) Covariance matrix (mm and radians): –{{12374.9, 8.672}, {8.672, 0.00635}} Emittance 1.846 mm (Beta, Alpha, Gamma) –(6703.3 mm, -4.697613, 0.003441 mm-1) Reconstruction Covariance matrix (mm and radians) –{{4628.2, -1.0170}, {-1.0170, 0.00127023}} Emittance 2.201 mm (Beta, Alpha, Gamma) –(2102.7 mm, 0.462048, 0.000577 mm-1) Covariance matrix (mm and radians) –{{4516.9, -1.1905}, {-1.1905, 0.00169921}} Emittance 2.502 mm (Beta, Alpha, Gamma) –(1805.6 mm, 0.475908, 0.000679 mm-1) Covariance matrix (mm and radians) –{{3456.8, -0.6986}, {-0.6986, 0.00021174}} Emittance 0.494 mm (Beta, Alpha, Gamma) –(6998.5 mm, 1.414265, 0.000429 mm-1) Covariance matrix (mm and radians) –{{12412.3, 8.5820}, {8.5820, 0.00600829}} Emittance 0.962 mm (Beta, Alpha, Gamma) –(12905.7 mm, -8.923186, 0.006247 mm-1) TOF0 y y' TOF1 x x' TOF0 x x' TOF1 y y'