224 unifying physics of accelerators, lasers and plasma
EXERCISES
10.1 Chapter materials review.
Describe the typical approaches for preventing beam breakup instability in linacs. Discuss if these approaches can be
used in other situations considered in this book.
10.2 Chapter materials review.
Using the formulas in Chapter 3, derive an estimate for SR
energy losses (beamstrahlung) for colliding e + e − bunches. Jus−
tify the need to use flat beams in a high energy e + e collider. Estimate the energy losses for beam parameters shown
in Fig. 10.20.
10.3 Chapter materials review.
For the same beams as in the previous exercise, estimate the
number of emitted beamstrahlung photons per particle in the
case when the oncoming positron bunch has either a 3 nm or
30 nm vertical offset with respect to the electron bunch.
10.4 Mini-project.
Define approximate parameters of a 1 GeV compact SR
source ring aimed at 10 keV X-rays, based on top-off, on-orbit
and on-energy injection by a laser plasma acceleration system. Discuss the research steps required for implementing
such a concept.
10.5 Analyze inventions or discoveries using TRIZ and AS-TRIZ.
Analyze and describe scientific or technical inventions described in this chapter (e.g., coherent combination of laser
pulses) in terms of the TRIZ and AS-TRIZ approaches, identifying a contradiction and an inventive principle that were
used (could have been used) for these inventions.
10.6 Developing AS-TRIZ parameters and inventive principles.
Based on what you already know about accelerator science,
discuss and suggest the possible additional parameters for
the AS-TRIZ contradiction matrix, as well as the possible additional AS-TRIZ inventive principles.
EXERCISES
10.1 Chapter materials review.
Describe the typical approaches for preventing beam breakup instability in linacs. Discuss if these approaches can be
used in other situations considered in this book.
10.2 Chapter materials review.
Using the formulas in Chapter 3, derive an estimate for SR
energy losses (beamstrahlung) for colliding e + e − bunches. Jus−
tify the need to use flat beams in a high energy e + e collider. Estimate the energy losses for beam parameters shown
in Fig. 10.20.
10.3 Chapter materials review.
For the same beams as in the previous exercise, estimate the
number of emitted beamstrahlung photons per particle in the
case when the oncoming positron bunch has either a 3 nm or
30 nm vertical offset with respect to the electron bunch.
10.4 Mini-project.
Define approximate parameters of a 1 GeV compact SR
source ring aimed at 10 keV X-rays, based on top-off, on-orbit
and on-energy injection by a laser plasma acceleration system. Discuss the research steps required for implementing
such a concept.
10.5 Analyze inventions or discoveries using TRIZ and AS-TRIZ.
Analyze and describe scientific or technical inventions described in this chapter (e.g., coherent combination of laser
pulses) in terms of the TRIZ and AS-TRIZ approaches, identifying a contradiction and an inventive principle that were
used (could have been used) for these inventions.
10.6 Developing AS-TRIZ parameters and inventive principles.
Based on what you already know about accelerator science,
discuss and suggest the possible additional parameters for
the AS-TRIZ contradiction matrix, as well as the possible additional AS-TRIZ inventive principles.