Cyclotrons Yasser Nour ElDin Mohammed Group 2 Accelerators
![Cyclotrons Yasser Nour El-Din Mohammed Group 2 - Accelerators and Applications Supervisors B. N. Cyclotrons Yasser Nour El-Din Mohammed Group 2 - Accelerators and Applications Supervisors B. N.](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-1.jpg)
![Outlines • • • Introduction. AVF Cyclotrons U 400, U 400 M. Resonators and Outlines • • • Introduction. AVF Cyclotrons U 400, U 400 M. Resonators and](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-2.jpg)
![Introduction • • Electric field used for acceleration. Magnetic field used for bending/deflection. No Introduction • • Electric field used for acceleration. Magnetic field used for bending/deflection. No](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-3.jpg)
![Classical Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 4 Classical Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 4](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-4.jpg)
![Problem of Classical Cyclotron • Increasing energy and therefore increasing mass “m” (Relativistic particles) Problem of Classical Cyclotron • Increasing energy and therefore increasing mass “m” (Relativistic particles)](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-5.jpg)
![Problem of Classical Cyclotron – cont. One solution is : Azimuthally varying field (AVF) Problem of Classical Cyclotron – cont. One solution is : Azimuthally varying field (AVF)](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-6.jpg)
![AVF Radial-sector Cyclotrons • Strong field Bh in the “hills” and weak field Bv AVF Radial-sector Cyclotrons • Strong field Bh in the “hills” and weak field Bv](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-7.jpg)
![AVF Spiral-sector Cyclotrons • D. Kerst 1956 suggested to use spiral sectors to increase AVF Spiral-sector Cyclotrons • D. Kerst 1956 suggested to use spiral sectors to increase](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-8.jpg)
![U 400 Straight Sector Cyclotron Parameters of U 400 cyclotron Rpole = 200 cm U 400 Straight Sector Cyclotron Parameters of U 400 cyclotron Rpole = 200 cm](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-9.jpg)
![U 400 M Spiral Sector Cyclotron Parameters of U 400 M cyclotron Rpole = U 400 M Spiral Sector Cyclotron Parameters of U 400 M cyclotron Rpole =](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-10.jpg)
![Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-11.jpg)
![RF Resonators and Dees • Resonator is the source of the accelerating electric field. RF Resonators and Dees • Resonator is the source of the accelerating electric field.](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-12.jpg)
![RF resonators and Dees Dee positioned in 2 Vally regions. Cairo University Electrical Engineering RF resonators and Dees Dee positioned in 2 Vally regions. Cairo University Electrical Engineering](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-13.jpg)
![Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-14.jpg)
![Beam Extraction – Charge Exchange Method Accelerated ion with charge Z 1 passes trough Beam Extraction – Charge Exchange Method Accelerated ion with charge Z 1 passes trough](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-15.jpg)
![Extraction from U 400 Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 16 Extraction from U 400 Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 16](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-16.jpg)
![Extraction from U 400 M Cyclotron Cairo University Electrical Engineering – Faculty of Engineering Extraction from U 400 M Cyclotron Cairo University Electrical Engineering – Faculty of Engineering](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-17.jpg)
![Charge Stripping Foil Cairo University Electrical Engineering – Faculty of Engineering 18 Charge Stripping Foil Cairo University Electrical Engineering – Faculty of Engineering 18](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-18.jpg)
![Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-19.jpg)
![Thanks Cairo University Electrical Engineering – Faculty of Engineering 20 Thanks Cairo University Electrical Engineering – Faculty of Engineering 20](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-20.jpg)
- Slides: 20
![Cyclotrons Yasser Nour ElDin Mohammed Group 2 Accelerators and Applications Supervisors B N Cyclotrons Yasser Nour El-Din Mohammed Group 2 - Accelerators and Applications Supervisors B. N.](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-1.jpg)
Cyclotrons Yasser Nour El-Din Mohammed Group 2 - Accelerators and Applications Supervisors B. N. Gikal O. B. Borisov Flerov Laboratory of Nuclear Reactions Cairo University Electrical Engineering – Faculty of Engineering
![Outlines Introduction AVF Cyclotrons U 400 U 400 M Resonators and Outlines • • • Introduction. AVF Cyclotrons U 400, U 400 M. Resonators and](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-2.jpg)
Outlines • • • Introduction. AVF Cyclotrons U 400, U 400 M. Resonators and Dees Beam Extraction. Cairo University Electrical Engineering – Faculty of Engineering 2
![Introduction Electric field used for acceleration Magnetic field used for bendingdeflection No Introduction • • Electric field used for acceleration. Magnetic field used for bending/deflection. No](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-3.jpg)
Introduction • • Electric field used for acceleration. Magnetic field used for bending/deflection. No energy change – Can't accelerate. • R In homogeneous magnetic field B, the particle has a circular orbit of radius R. “For constant q and m, and uniform B, the angular frequency ω remain constant independent of particle speed (Energy)” Cairo University Electrical Engineering – Faculty of Engineering 3
![Classical Cyclotron Cairo University Electrical Engineering Faculty of Engineering 4 Classical Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 4](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-4.jpg)
Classical Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 4
![Problem of Classical Cyclotron Increasing energy and therefore increasing mass m Relativistic particles Problem of Classical Cyclotron • Increasing energy and therefore increasing mass “m” (Relativistic particles)](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-5.jpg)
Problem of Classical Cyclotron • Increasing energy and therefore increasing mass “m” (Relativistic particles) requires rising B as radius of beam circle increase to keep angular frequency (and so frequency of Dees voltage) constant. But increasing magnetic field B with radius r will make axial instability. Axial Stability Condition: Cairo University Electrical Engineering – Faculty of Engineering -1 < k < 0 where: 5
![Problem of Classical Cyclotron cont One solution is Azimuthally varying field AVF Problem of Classical Cyclotron – cont. One solution is : Azimuthally varying field (AVF)](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-6.jpg)
Problem of Classical Cyclotron – cont. One solution is : Azimuthally varying field (AVF) Cairo University Electrical Engineering – Faculty of Engineering 6
![AVF Radialsector Cyclotrons Strong field Bh in the hills and weak field Bv AVF Radial-sector Cyclotrons • Strong field Bh in the “hills” and weak field Bv](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-7.jpg)
AVF Radial-sector Cyclotrons • Strong field Bh in the “hills” and weak field Bv in the “valleys” leads to a scalloped not circular orbit, which crosses the sector edges at a small “Thomas angle” κ. • Radial vr and azimuthal Bθ components yield an axial restoring focusing force Fz(θ). • As a result there is a positive edge-focusing effect when both entering and leaving a hill, each edge acting as a thin focusing lens with a focal length given by Cairo University Electrical Engineering – Faculty of Engineering 7
![AVF Spiralsector Cyclotrons D Kerst 1956 suggested to use spiral sectors to increase AVF Spiral-sector Cyclotrons • D. Kerst 1956 suggested to use spiral sectors to increase](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-8.jpg)
AVF Spiral-sector Cyclotrons • D. Kerst 1956 suggested to use spiral sectors to increase axial focusing. Spiral angle ε • edge-crossing angles: k + ε : strong focusing lens. or k - ε : weak defocusing lens. • Focal Length becomes: Cairo University Electrical Engineering – Faculty of Engineering 8
![U 400 Straight Sector Cyclotron Parameters of U 400 cyclotron Rpole 200 cm U 400 Straight Sector Cyclotron Parameters of U 400 cyclotron Rpole = 200 cm](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-9.jpg)
U 400 Straight Sector Cyclotron Parameters of U 400 cyclotron Rpole = 200 cm 4 sectors (45 o straight boundaries) Bo =1. 9 - 2. 14 T W = 0. 5 - 20 Me. V/n Dee Voltage = 80 k. V Freq. Range = 5. 48 – 12. 2 Mhz Cairo University Electrical Engineering – Faculty of Engineering 9
![U 400 M Spiral Sector Cyclotron Parameters of U 400 M cyclotron Rpole U 400 M Spiral Sector Cyclotron Parameters of U 400 M cyclotron Rpole =](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-10.jpg)
U 400 M Spiral Sector Cyclotron Parameters of U 400 M cyclotron Rpole = 200 cm 4 sectors (45 o , max spiral angle ~ 40 o) Bo =1. 5 - 1. 9 T A/Z = 2 - 5 W = 6 - 100 Me. V/n Cairo University Electrical Engineering – Faculty of Engineering 10
![Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure Dees Magnetic Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-11.jpg)
Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic Field Cairo University Electrical Engineering – Faculty of Engineering Beam Extraction Vacuum system 11
![RF Resonators and Dees Resonator is the source of the accelerating electric field RF Resonators and Dees • Resonator is the source of the accelerating electric field.](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-12.jpg)
RF Resonators and Dees • Resonator is the source of the accelerating electric field. • The Dees are (capacitive) electrodes, inserted into the magnet gap, usually in the ‘valley’ of the pole plates. • A shorted coaxial part (inductive part) extends to the outside of the magnet yoke, thus completing the structures to λ/4 resonators. Cairo University Electrical Engineering – Faculty of Engineering 12
![RF resonators and Dees Dee positioned in 2 Vally regions Cairo University Electrical Engineering RF resonators and Dees Dee positioned in 2 Vally regions. Cairo University Electrical Engineering](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-13.jpg)
RF resonators and Dees Dee positioned in 2 Vally regions. Cairo University Electrical Engineering – Faculty of Engineering First half gap focusing Second half gap defocusing Total focusing effect in the gap (Phase focusing) 13
![Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure Dees Magnetic Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-14.jpg)
Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic field Cairo University Electrical Engineering – Faculty of Engineering Beam Extraction Vacuum system 14
![Beam Extraction Charge Exchange Method Accelerated ion with charge Z 1 passes trough Beam Extraction – Charge Exchange Method Accelerated ion with charge Z 1 passes trough](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-15.jpg)
Beam Extraction – Charge Exchange Method Accelerated ion with charge Z 1 passes trough a thin carbon foil (40 -80 µg/cm 2). The charge ion after foil is equal Z 2 because of the electrons stripping. Z 2 / Z 1 – called ratio of chargeexchange. After stripping foil the ion with charge Z 2 have a more rigidty and can be extracted from the cyclotron. Cairo University Electrical Engineering – Faculty of Engineering 15
![Extraction from U 400 Cyclotron Cairo University Electrical Engineering Faculty of Engineering 16 Extraction from U 400 Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 16](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-16.jpg)
Extraction from U 400 Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 16
![Extraction from U 400 M Cyclotron Cairo University Electrical Engineering Faculty of Engineering Extraction from U 400 M Cyclotron Cairo University Electrical Engineering – Faculty of Engineering](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-17.jpg)
Extraction from U 400 M Cyclotron Cairo University Electrical Engineering – Faculty of Engineering 17
![Charge Stripping Foil Cairo University Electrical Engineering Faculty of Engineering 18 Charge Stripping Foil Cairo University Electrical Engineering – Faculty of Engineering 18](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-18.jpg)
Charge Stripping Foil Cairo University Electrical Engineering – Faculty of Engineering 18
![Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure Dees Magnetic Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-19.jpg)
Cyclotron System Power Supply Ion Source Control System RF Resonator Accelerating Structure (Dees) Magnetic field Cairo University Electrical Engineering – Faculty of Engineering Beam Extraction Vacuum system 19
![Thanks Cairo University Electrical Engineering Faculty of Engineering 20 Thanks Cairo University Electrical Engineering – Faculty of Engineering 20](https://slidetodoc.com/presentation_image/074e170a269246c24c3ce16c20bf6814/image-20.jpg)
Thanks Cairo University Electrical Engineering – Faculty of Engineering 20
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