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.

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

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

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

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

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

1 September 09Mark Rayner – Emittance measurement by The TOFs7 Comparison of true and reconstructed covariance matrices Truth Covariance matrix (mm and radians): –{{4578.3, }, { , }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) Covariance matrix (mm and radians): –{{4249.2, }, { , }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) Covariance matrix (mm and radians): –{{3301.9, }, { , }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) Covariance matrix (mm and radians): –{{ , 8.672}, {8.672, }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) Reconstruction Covariance matrix (mm and radians) –{{4628.2, }, { , }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) Covariance matrix (mm and radians) –{{4516.9, }, { , }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) Covariance matrix (mm and radians) –{{3456.8, }, { , }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) Covariance matrix (mm and radians) –{{ , }, {8.5820, }} Emittance mm (Beta, Alpha, Gamma) –( mm, , mm-1) TOF0 y y' TOF1 x x' TOF0 x x' TOF1 y y'