Magnets are key components of particle accelerators. Their modeling involves several stages including simple hard-edge models for initial design, detailed computer calculations, mechanical/electrical design and construction, measurement of field profiles, and beam testing. Magnet measurements are performed using devices like gaussmeters and rotating coils to characterize fields and multipoles. Effective magnet lengths are important parameters and may differ from physical lengths for devices with non-uniform field profiles.
This section examines a method of analysing the bending moment and shear force distribution along a uniformly loaded, simply supported beam. The method used is Macaulay’s and the stages involved in this method are described in detail. The method also determines the position of the maximum bending moment, the slope and deflection at this point.
Poisson’s ratio is the ratio between lateral and axial strain in a directly loaded system. The derivation of standard equations and their further development is shown.
This section examines a method of analysing the bending moment and shear force distribution along a uniformly loaded, simply supported beam. The method used is Macaulay’s and the stages involved in this method are described in detail. The method also determines the position of the maximum bending moment, the slope and deflection at this point.
Poisson’s ratio is the ratio between lateral and axial strain in a directly loaded system. The derivation of standard equations and their further development is shown.
The driving engine for the exponential growth of digital information processing systems is scaling down the transistor dimensions. For decades, this has enhanced the device performance and density. However, the International Technology Roadmap for Semiconductors (ITRS) states the end of Moore’s law in the next decade due to the scaling challenges of silicon-based CMOS electronics, e.g. extremely high power density. The forward-looking solutions are the utilization of emerging materials and devices for integrated circuits, e.g. carbon-based materials. The presentation of my Ph.D. work focuses on graphene, one atomic layer of carbon sheet, experimentally discovered in 2004. Since fabrication technology of emerging materials is still in early stages, transistor modeling has been playing an important role for evaluating futuristic graphene-based devices and circuits. The device has been simulated by solving a quantum transport model based on non-equilibrium Green’s function (NEGF) approach, which fully treats short channel-length electrostatic effects and the quantum tunneling effects, leading to the technology exploration of graphene nanoribbon field effect transistors (GNR FETs) for the future. This research presents a comprehensive study of the width-dependence performance of the GNR FETs and the scaling of its channel length down to 2.5 nanometer, investigating its potential use beyond-CMOS emerging technology.
Dynamic stiffness and eigenvalues of nonlocal nano beams - new methods for dynamic analysis of nano-scale structures. This lecture gives a review and proposed new techniques.
Maidana - Modification of particle accelerators for cargo inspection applicat...Carlos O. Maidana
As part of an accelerator based Cargo Inspection System, studies were made to develop a Cabinet Safe System by Optimization of the Beam Optics of Microwave Linear Accelerators of the IAC-Varian series working on the S-band and standing wave pi/2 mode. Measurements, modeling and simulations of the main subsystems were done and a Multiple Solenoidal System was designed.
This Cabinet Safe System based on a Multiple Solenoidal System minimizes the radiation field generated by the low efficiency of the microwave accelerators by optimizing the RF waveguide system and by also trapping secondaries generated in the accelerator head. These secondaries are generated mainly due to instabilities in the exit window region and particles backscattered from the target. The electron gun was also studied and software for its right mechanical design and for its optimization was developed as well. Besides the standard design method, an optimization of the injection process is accomplished by slightly modifying the gun configuration and by placing a solenoid on the waist position while avoiding threading the cathode with the magnetic flux generated.
The Multiple Solenoidal System and the electron gun optimization are the backbone of a Cabinet Safe System that could be applied not only to the 25 MeV IAC-Varian microwave accelerators but, by extension, to machines of different manufacturers as well. Thus, they constitute the main topic of this paper.
Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...balaganesh boomiraja
A simplified Jacobian is derived for both node- and loop-based magnetic equivalent circuit analysis. The partial derivative term is eliminated in this simplified Jacobian using differential relative permeability. The convergence behaviour of the Newton-Raphson method is studied. The loop analysis exhibits more stable convergence than that of the node analysis while solving non-linear magnetic equivalent circuit using the Newton-Raphson method.
Describes Fiber Optics using Optical Ray Theory.
For comments please contact me at solo.hermelin@gmail.com.
For more presentations visit my website at http://www.solohermelin.com.
As a business owner in Delaware, staying on top of your tax obligations is paramount, especially with the annual deadline for Delaware Franchise Tax looming on March 1. One such obligation is the annual Delaware Franchise Tax, which serves as a crucial requirement for maintaining your company’s legal standing within the state. While the prospect of handling tax matters may seem daunting, rest assured that the process can be straightforward with the right guidance. In this comprehensive guide, we’ll walk you through the steps of filing your Delaware Franchise Tax and provide insights to help you navigate the process effectively.
Unveiling the Secrets How Does Generative AI Work.pdfSam H
At its core, generative artificial intelligence relies on the concept of generative models, which serve as engines that churn out entirely new data resembling their training data. It is like a sculptor who has studied so many forms found in nature and then uses this knowledge to create sculptures from his imagination that have never been seen before anywhere else. If taken to cyberspace, gans work almost the same way.
Accpac to QuickBooks Conversion Navigating the Transition with Online Account...PaulBryant58
This article provides a comprehensive guide on how to
effectively manage the convert Accpac to QuickBooks , with a particular focus on utilizing online accounting services to streamline the process.
3.0 Project 2_ Developing My Brand Identity Kit.pptxtanyjahb
A personal brand exploration presentation summarizes an individual's unique qualities and goals, covering strengths, values, passions, and target audience. It helps individuals understand what makes them stand out, their desired image, and how they aim to achieve it.
Falcon stands out as a top-tier P2P Invoice Discounting platform in India, bridging esteemed blue-chip companies and eager investors. Our goal is to transform the investment landscape in India by establishing a comprehensive destination for borrowers and investors with diverse profiles and needs, all while minimizing risk. What sets Falcon apart is the elimination of intermediaries such as commercial banks and depository institutions, allowing investors to enjoy higher yields.
What is the TDS Return Filing Due Date for FY 2024-25.pdfseoforlegalpillers
It is crucial for the taxpayers to understand about the TDS Return Filing Due Date, so that they can fulfill your TDS obligations efficiently. Taxpayers can avoid penalties by sticking to the deadlines and by accurate filing of TDS. Timely filing of TDS will make sure about the availability of tax credits. You can also seek the professional guidance of experts like Legal Pillers for timely filing of the TDS Return.
"𝑩𝑬𝑮𝑼𝑵 𝑾𝑰𝑻𝑯 𝑻𝑱 𝑰𝑺 𝑯𝑨𝑳𝑭 𝑫𝑶𝑵𝑬"
𝐓𝐉 𝐂𝐨𝐦𝐬 (𝐓𝐉 𝐂𝐨𝐦𝐦𝐮𝐧𝐢𝐜𝐚𝐭𝐢𝐨𝐧𝐬) is a professional event agency that includes experts in the event-organizing market in Vietnam, Korea, and ASEAN countries. We provide unlimited types of events from Music concerts, Fan meetings, and Culture festivals to Corporate events, Internal company events, Golf tournaments, MICE events, and Exhibitions.
𝐓𝐉 𝐂𝐨𝐦𝐬 provides unlimited package services including such as Event organizing, Event planning, Event production, Manpower, PR marketing, Design 2D/3D, VIP protocols, Interpreter agency, etc.
Sports events - Golf competitions/billiards competitions/company sports events: dynamic and challenging
⭐ 𝐅𝐞𝐚𝐭𝐮𝐫𝐞𝐝 𝐩𝐫𝐨𝐣𝐞𝐜𝐭𝐬:
➢ 2024 BAEKHYUN [Lonsdaleite] IN HO CHI MINH
➢ SUPER JUNIOR-L.S.S. THE SHOW : Th3ee Guys in HO CHI MINH
➢FreenBecky 1st Fan Meeting in Vietnam
➢CHILDREN ART EXHIBITION 2024: BEYOND BARRIERS
➢ WOW K-Music Festival 2023
➢ Winner [CROSS] Tour in HCM
➢ Super Show 9 in HCM with Super Junior
➢ HCMC - Gyeongsangbuk-do Culture and Tourism Festival
➢ Korean Vietnam Partnership - Fair with LG
➢ Korean President visits Samsung Electronics R&D Center
➢ Vietnam Food Expo with Lotte Wellfood
"𝐄𝐯𝐞𝐫𝐲 𝐞𝐯𝐞𝐧𝐭 𝐢𝐬 𝐚 𝐬𝐭𝐨𝐫𝐲, 𝐚 𝐬𝐩𝐞𝐜𝐢𝐚𝐥 𝐣𝐨𝐮𝐫𝐧𝐞𝐲. 𝐖𝐞 𝐚𝐥𝐰𝐚𝐲𝐬 𝐛𝐞𝐥𝐢𝐞𝐯𝐞 𝐭𝐡𝐚𝐭 𝐬𝐡𝐨𝐫𝐭𝐥𝐲 𝐲𝐨𝐮 𝐰𝐢𝐥𝐥 𝐛𝐞 𝐚 𝐩𝐚𝐫𝐭 𝐨𝐟 𝐨𝐮𝐫 𝐬𝐭𝐨𝐫𝐢𝐞𝐬."
Personal Brand Statement:
As an Army veteran dedicated to lifelong learning, I bring a disciplined, strategic mindset to my pursuits. I am constantly expanding my knowledge to innovate and lead effectively. My journey is driven by a commitment to excellence, and to make a meaningful impact in the world.
India Orthopedic Devices Market: Unlocking Growth Secrets, Trends and Develop...Kumar Satyam
According to TechSci Research report, “India Orthopedic Devices Market -Industry Size, Share, Trends, Competition Forecast & Opportunities, 2030”, the India Orthopedic Devices Market stood at USD 1,280.54 Million in 2024 and is anticipated to grow with a CAGR of 7.84% in the forecast period, 2026-2030F. The India Orthopedic Devices Market is being driven by several factors. The most prominent ones include an increase in the elderly population, who are more prone to orthopedic conditions such as osteoporosis and arthritis. Moreover, the rise in sports injuries and road accidents are also contributing to the demand for orthopedic devices. Advances in technology and the introduction of innovative implants and prosthetics have further propelled the market growth. Additionally, government initiatives aimed at improving healthcare infrastructure and the increasing prevalence of lifestyle diseases have led to an upward trend in orthopedic surgeries, thereby fueling the market demand for these devices.
Improving profitability for small businessBen Wann
In this comprehensive presentation, we will explore strategies and practical tips for enhancing profitability in small businesses. Tailored to meet the unique challenges faced by small enterprises, this session covers various aspects that directly impact the bottom line. Attendees will learn how to optimize operational efficiency, manage expenses, and increase revenue through innovative marketing and customer engagement techniques.
Memorandum Of Association Constitution of Company.pptseri bangash
www.seribangash.com
A Memorandum of Association (MOA) is a legal document that outlines the fundamental principles and objectives upon which a company operates. It serves as the company's charter or constitution and defines the scope of its activities. Here's a detailed note on the MOA:
Contents of Memorandum of Association:
Name Clause: This clause states the name of the company, which should end with words like "Limited" or "Ltd." for a public limited company and "Private Limited" or "Pvt. Ltd." for a private limited company.
https://seribangash.com/article-of-association-is-legal-doc-of-company/
Registered Office Clause: It specifies the location where the company's registered office is situated. This office is where all official communications and notices are sent.
Objective Clause: This clause delineates the main objectives for which the company is formed. It's important to define these objectives clearly, as the company cannot undertake activities beyond those mentioned in this clause.
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Liability Clause: It outlines the extent of liability of the company's members. In the case of companies limited by shares, the liability of members is limited to the amount unpaid on their shares. For companies limited by guarantee, members' liability is limited to the amount they undertake to contribute if the company is wound up.
https://seribangash.com/promotors-is-person-conceived-formation-company/
Capital Clause: This clause specifies the authorized capital of the company, i.e., the maximum amount of share capital the company is authorized to issue. It also mentions the division of this capital into shares and their respective nominal value.
Association Clause: It simply states that the subscribers wish to form a company and agree to become members of it, in accordance with the terms of the MOA.
Importance of Memorandum of Association:
Legal Requirement: The MOA is a legal requirement for the formation of a company. It must be filed with the Registrar of Companies during the incorporation process.
Constitutional Document: It serves as the company's constitutional document, defining its scope, powers, and limitations.
Protection of Members: It protects the interests of the company's members by clearly defining the objectives and limiting their liability.
External Communication: It provides clarity to external parties, such as investors, creditors, and regulatory authorities, regarding the company's objectives and powers.
https://seribangash.com/difference-public-and-private-company-law/
Binding Authority: The company and its members are bound by the provisions of the MOA. Any action taken beyond its scope may be considered ultra vires (beyond the powers) of the company and therefore void.
Amendment of MOA:
While the MOA lays down the company's fundamental principles, it is not entirely immutable. It can be amended, but only under specific circumstances and in compliance with legal procedures. Amendments typically require shareholder
2. 2
Magnets: Introduction
• Magnets are key components of all accelerators
• Magnet modeling has several stages:
1. Simple hardedge models for optics design (energy and type of charged
particle are main considerations)
2. Computer calculations
3. Mechanical/electrical design and construction
4. Magnet measurement:
field/gradient profile and/or multipole measurement
5. Beam testing
• Item 1 requires a magnet strength per amp or volt, and an
effective length. Items 2 and 4 yield actual values.
• Measurement devices: gaussmeters (e.g. Hall-effect), rotating
coils, taut wire techniques, etc.
• Computer codes: OPERA3D/TOSCA, MERMAID, AMPERE, MAG-Li
6. 6
γγγγmv2/ρρρρ ====qvB → Bρρρρ ====p/q: Magnetic Rigidity
For relativistic e-: 0.3
p
B pc
e
ρ = ≅
Tesla m GeV/c
Bending:
dθ = ds/ρ(s), so
2 2
1 1
2 1
3.0
( )
( )
s s
s s
ds
B s ds
s pc
θ θ
ρ
− = ≅∫ ∫
Focusing: 0x 0yx (z)+ x(z) = 0, y (z)+ y(z) = 0.′′ ′′κ κκ κκ κκ κ
0
0 0
( )
x y
g
B
κ κ
ρ
= − =• Quadrupole:
0r (z)+ r(z) = 0′′ κκκκ• Solenoid:
( )
2
0 2
4
ZB
B
κ
ρ
=
Defined as: ,
p
B
q
ρ = p m cγ β=
7. 7
Magnets: Introduction
Separated Function vs. Combined Function
Electrostatic vs. Magnetostatic
Dipoles, Quadrupoles, Sextupoles, Octupoles
Displaced, overlapping (& infinite) solid elliptical cylinders
carrying uniform current density generate pure fields:
Pure Dipole
+J -J X
Y
BY
X
Pure Quadrupole
Y +J
+J
-J -J
8. 8
UMER PC Dipole and Quadrupole*
Only conductors parallel to z-axis
contribute to integrated B-field.
On a circular cylindrical surface,
we want: ∝∫ ZK dz cosnθ
n=order of multipole. Recall…
-J+J
*W.W. Zhang, et al, Phys, Rev. ST Accel. Beams, 3, 122401 (2000).
UMER PC quadrupole
9. 9
Multipole Expansion
2D Multipole Expansion:
( )
, (1)
∑
n-1
x+iy
B(x, y) = B + iB = b +ia ,y x n n rn=1 0
2 2r = x +y < r0
bn = Normal Component,
an = Skew Component
r0 = Aperture Radius
From symmetry, a magnet with quadrupole symmetry has only
multipoles of the form n = 4k+2 (k=0,1,2, …), i.e. quadrupole (n=2),
duodecapole (n=6), 10-pole (n=10), etc.
[ ]
[ ] (2)
∑
∑
n-1
n n
0
n-1
n n
0
r
B (r, θ) = b Sin(nθ)+a Cos(nθ) ,r rn=1
r
B (r, θ) = b Cos(nθ)-a Sin(nθ) .θ rn=1
3D Multipole Expansion:
B → BInt
WE WANT SMALL UNDESIRED MULTIPOLES:
typically less than 1 part in 104
10. 10
UMER Rotating Coil*
The coil contains ~3000
turns of very fine wire.
The whole of the
rotating coil apparatus
is normally enclosed in
mu-metal box.
2nd Gen. UMER
Quadrupole
*W.W. Zhang, et al, Phys, Rev. ST Accel. Beams, 3, 122401 (2000).
11. 11
-80
-70
-60
-50
-40
-30
-20
-10
0
0 10 20 30 40 50 60
FFTofRotatingCoilSignal
(dBm)
Frequency (Hz)
PC QUADRUPOLE
-80
-70
-60
-50
-40
-30
-20
-10
0
0 10 20 30 40 50 60
FFTofRotatingCoilSignal
(dBm)
Frequency (Hz)
PC DIPOLE
-80
-70
-60
-50
-40
-30
-20
-10
0
0 10 20 30 40 50 60
FFTofRotatingCoilSignal
(dBm)
Frequency (Hz)
NO MAGNET
FFT of Rotating Coil Signal
12. 12
UMER Simple Rotating Coil
Rawson-Lush rotating coil gaussmeter
Model 780:
Tip Diameter. A: 6.35 mm
Probe Length B: 50.0 cm
Length to coil center C: 48.9 cm
Tube Diameter E: 6.35 mm
13. 13
Short Solenoid: Axial Field Profile Measurement
For axially symmetric B-fields, components Bz, Br can be found
at all (z, r) from knowledge of Bz(r=0,z)=B(z), i.e. the on-axis field profile:
3 3
3
( , ) ,
2 16
r
r B r B
B r z
z z
∂ ∂
= − + − ⋅⋅⋅
∂ ∂
2 2 4 4
2 4
( , )
4 64
z
r B r B
B r z B
z z
∂ ∂
= − + − ⋅⋅⋅
∂ ∂
14. 14
Review: Modeling of Lenses
′′
δ(z)
x (z)+ x(z) = 0
f
“Point” Lens:
Z
X
f
0 0
1
x (z)+ x(z) = 0 =l
f
′′ →κ κκ κκ κκ κ
Thin Hard-Edge (f>>l):
Zl
X
k0
eff peak
1
x (z)+ (z)x(z) = 0 =l
f
′′ →κ κκ κκ κκ κ
Smooth-Profile:
1
1
z
eff -z
peak
1
l = (z)dzκ
κ ∫
15. 15
Effective Length of UMER Quadrupole*
*S. Bernal, et al, Phys, Rev. ST Accel. Beams, 9, 064202 (2006).
Red curve is analytical fit to
Mag-Li profile (black curve):
g(s)=g0exp(-s2/d2),
g0=3.61 G/cmA, d = 2.10 cm.
0.0
1.0
2.0
3.0
4.0
-10 -7.5 -5 -2.5 0 2.5 5 7.5 10
HE1
HE2
gx
Equation
g(s)(G/cmperAmp)
s (cm)
g0
geff
Standard definition of effective
length (which uses hardtop
gradient g0) yields
leff = 3.72 cm
However, the same focal length can be obtained with a wider
hardedge model with smaller hardtop gradient geff.
For the short UMER quad the correct hardedge model yields
leff = 5.16 cm, geff =0.72×g0
16. 16
Effective Length of Short Solenoid*
For UMER short solenoid, new
treatment yields
leff(cm)= 6.571 cm – 0.00029××××κpeak(m-2),
κeff(m-2)= 0.6945××××κpeak(m-2)
*S. Bernal, et al, Phys, Rev. ST Accel. Beams, 9, 064202 (2006).
UMER Solenoid Profile ( ) ( ) ( )2 2 2
0 0(0, ) exp sech sinhZB z B z d z b C z b = − +
Similar issues as with the UMER quad…
Effective length calculated the standard
way is leff = 4.50 cm
The effective length has a slight
dependence on peak focusing function.
17. 17
1. K.G. Steffen, High Energy Beam Optics (Wiley, 1965).
2. H. Wiedemann, Particle Accelerator Physics I-II (Springer-Verlag, 1993).
3. P.J. Bryant and K. Johnsen, The Principles of Circular Accelerators and
Storage Rings (Cambridge U. Press, 1993).
4. H. Wolnik, Optics of Charged Particles (Academic Press, 1987).
5. M. Reiser, Theory and Design of Charged-Particle Beams, (Wiley, 1994).
6. USPAS Proceedings (e.g., USPAS 2004).
7. CERN Accelerator School (CAS) Proceedings (e.g., CERN 98-05, CERN
92-05).
8. On-line Journal: Physical Review ST Accel. Beams.
9. Manuals to computer codes like TRANSPORT, TRACE3D, etc.
10. M. Venturini, Ph.D. Thesis (Dept. of Physics, UMCP, 1998).
11. W.W. Zhang, et al, Phys, Rev. ST Accel. Beams, 3, 122401 (2000).
12. S. Bernal, et al, Phys, Rev. ST Accel. Beams, 9, 064202 (2006).
References