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CPOTS 2013: 3 rd ERASMUS IP on Charge Particle Optics – Theory and Simulation Dept. of Physics, University of Crete, Heraklion, GREECE Project Coordinator:

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Presentation on theme: "CPOTS 2013: 3 rd ERASMUS IP on Charge Particle Optics – Theory and Simulation Dept. of Physics, University of Crete, Heraklion, GREECE Project Coordinator:"— Presentation transcript:

1 CPOTS 2013: 3 rd ERASMUS IP on Charge Particle Optics – Theory and Simulation Dept. of Physics, University of Crete, Heraklion, GREECE Project Coordinator: Prof. Theo Zouros (tzouros@physics.uoc.gr) CPOTS – 3 rd ERASMUS Intensive Program Introduction to Charged Particle Optics: Theory and Simulation http://cpots2013.physics.uoc.gr Dept. of Physics, University of Crete Aug 15 – 30, 2013 Heraklion, Crete, GREECE UCMUCM CPOTS 2013: L4.1 - DK 1/32 http://cpots2013.physics.uoc.gr

2 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 2/17 Project 6 5 Element Lens Tobias Bauer 1, Anastasios Kanellakopoulos 2, Tuğçe Nur Tandırcıoğlu 3 Supervisors: Genoveva Martínez López 4, Pilar Garcés 4 1 Johann Wolfgang Goethe-Universität Frankfurt am Main 2 National Kapodistrian University of Athens 3 Selçuk University 4 Complutense University of Madrid

3 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 3/17 Motivation Design an afocal lens Study the afocal properties of the 5 element lens Goals Find the optimal voltage element combination Create the best possible beam for HDA entry Motivation and Goals

4 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 4/17 What is a 5 element lens? 5 element lens A 5 element lens is just two 3 element lenses back to back attached!

5 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 5/17 Geometry Heddle’s Lens

6 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 6/17 Since the two lenses are identical the electrode voltages must fulfill the relationships: Afocal Mode and the transverse magnification is:

7 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 7/17 Afocal lens No focus points Beam doesn’t converge or diverge e.g. Beam that enters parallel, exits parallel Afocal Lens

8 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 8/17 Afocal Lens Result V 5 /V 1 V 2 /V 1 V 3 /V 1 V 4 /V 1 M exp |M th |α 0.25 2.4360.501.218-1.4111.4140.194 0.53.0550.7072.161-1.1881.1890.165 1.03.6911.0003.691-0.9981.0000.142 5.04.9002.23610.957-0.6780.6690.001 10.55.4503.24017.660-0.5570.5560.001 10.50.5593.2401.811-0.5680.5560.002 24.05.8204.89928.512-0.4460.4510.001 24.00.814.8993.968-0.4630.4510.001 V 5 /V 1 V 2 /V 1 V 3 /V 1 V 4 /V 1 M exp |M th |α 0.25 2.4360.501.218-1.4111.4140.194 0.53.0550.7072.161-1.1881.1890.165 1.03.6911.0003.691-0.9981.0000.142 5.04.9002.23610.957-0.6780.6690.001 10.55.4503.24017.660-0.5570.5560.001 10.50.5593.2401.811-0.5680.5560.002 24.05.8204.89928.512-0.4460.4510.001 24.00.814.8993.968-0.4630.4510.001 V2V2 V4V4 Output Angle

9 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 9/17 Aberrations Spherical Coma Aberrations

10 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 10/17 Spherical Aberattion V5V5 R1R1 R 1.5 R2R2 R 2.5 R3R3 0.250.0100.0230.0490.0880.145 0.500.0110.0230.0400.0640.102 1.00.0080.0160.0280.0420.066 5.00.0160.0210.0240.0230.017 10.50.0010.0020.0060.0130.025 10.50.0280.0450.0650.0900.121 24.00.0080.0130.0210.0290.041 24.00.0210.0340.0490.0670.090 V5V5 R1R1 R 1.5 R2R2 R 2.5 R3R3 0.250.0100.0230.0490.0880.145 0.500.0110.0230.0400.0640.102 1.00.0080.0160.0280.0420.066 5.00.0160.0210.0240.0230.017 10.50.0010.0020.0060.0130.025 10.50.0280.0450.0650.0900.121 24.00.0080.0130.0210.0290.041 24.00.0210.0340.0490.0670.090

11 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 11/17 Spherical Aberration R = 0.121 mm R = 0.025 mm V 5 = 10.5 Volts, V2 = 5.450 VoltsV 5 = 10.5 Volts, V2 = 0.559 Volts Ke = 1eV, Plane X = 120mm (exit) 1° 2° 3° Initial angle

12 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 12/17

13 V 4 = 40V V 4 = 20V V 4 = 0V Better Parallel Alignement keeping the same transmission Optimisation CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 13/17 Output AngleTransmission V2V2 V3V3

14 Ave Angle Sum Transmission *currently not optimized 100% Transmission with smallest angle sum V2 = 205V, V3 = -50, V4 = 40V* Following Traces CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 14/17 V2V2 V3V3

15 Transmission V2 = 205, V3 = -50, V4 = 40 V2 = 0, V3 = -100, V4 = 40 V2 = 110, V3 = -80, V4 = 40 going to < 50% Transmission Following Traces - Results

16 Introduce new Score value to minimize Example: Score =W1 * Transmission + W2 * Parallel_Angle_Sum + W3 * Fokus_Width + … Score = 3 * Best_Angle / Ave_Angle + 1 * Transmission How to continue… Trans CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 16/17 V3V3 V2V2 V3V3 V2V2 V2V2 V3V3

17 CPOTS 2013: P6 http://cpots2013.physics.uoc.gr 17/17 The end Thank you for your attention Any questions?


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