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 transcript:

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 CPOTS – 3 rd ERASMUS Intensive Program Introduction to Charged Particle Optics: Theory and Simulation Dept. of Physics, University of Crete Aug 15 – 30, 2013 Heraklion, Crete, GREECE UCMUCM CPOTS 2013: L4.1 - DK 1/32

CPOTS 2013: P6 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

CPOTS 2013: P6 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

CPOTS 2013: P6 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!

CPOTS 2013: P6 5/17 Geometry Heddle’s Lens

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

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

CPOTS 2013: P6 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 V 5 /V 1 V 2 /V 1 V 3 /V 1 V 4 /V 1 M exp |M th |α V2V2 V4V4 Output Angle

CPOTS 2013: P6 9/17 Aberrations Spherical Coma Aberrations

CPOTS 2013: P6 10/17 Spherical Aberattion V5V5 R1R1 R 1.5 R2R2 R 2.5 R3R V5V5 R1R1 R 1.5 R2R2 R 2.5 R3R

CPOTS 2013: P6 11/17 Spherical Aberration R = mm R = mm V 5 = 10.5 Volts, V2 = VoltsV 5 = 10.5 Volts, V2 = Volts Ke = 1eV, Plane X = 120mm (exit) 1° 2° 3° Initial angle

CPOTS 2013: P6 12/17

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

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

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

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 16/17 V3V3 V2V2 V3V3 V2V2 V2V2 V3V3

CPOTS 2013: P6 17/17 The end Thank you for your attention Any questions?