Recent Projects

Microbunching instability in a dual-energy storage ring | paper

To be updated...

Analysis of microbunching instability in multibend transport lines | paper

There are a few interesting topics ongoing, including 1) bunched-beam MBI theory; 2) quasi-linear theory for MBI including saturation; 3) quick estimate of MBI gain. Stay tuned.

Generation of single-isolated, high-bunch-charge ultrashort electron bunch | paper

Femtosecond electron beams serve as effective tools for investigating ultrafast structural and dynamic processes in matter, providing complementary capabilities to femtosecond laser beams. In this study we propose and demonstrate the feasibility of a scheme combining an undulator with THz modulation to generate isolated few-femtosecond electron bunches. We have developed a theoretical method that incorporates the transport dynamics of low-energy relativistic electrons interacting with the THz modulation field in the undulator and the space charge effects within the bunch itself. The results indicate that, under currently achievable conditions in infrared laser technology and undulator engineering, the proposed scheme can generate single isolated ultrafast electron bunches with kinetic energy 3 MeV, bunch length about 6 fs (rms) with core charge up to 0.1 pC. Furthermore, utilizing our developed tool, we have also evaluated the potential influence of several relevant physical quantities on the final bunch length and arrival time, and provided some scaling relations with respect to the initial bunch charges.

Generation and manipulation of ultrashort electron microbunch train | paper

Femtosecond science has opened up new opportunities for probing atomic and molecular dynamics across multiple disciplines, while attosecond science further extends such capabilities to investigate the dynamical processes of electron motion in matter with unprecedented temporal resolution. In such situations, ultrashort electron beams serve as effective tools, providing complementary probing capabilities to ultrashort laser beams. In this work we propose a scheme that employs THz modulation to generate a mega-electron-volt (MeV) relativistic electron microbunch train. The scheme integrates the well-established undulator technology commonly used in accelerator science with a tailored sawtooth THz field to manipulate the electron beam phase space. To assess the feasibility of this scheme, we have developed an efficient and effective particle-tracking model that incorporates the relevant physical effects, including the transport dynamics of relativistic MeV electrons interacting with the modulation field inside the undulator, as well as the beam longitudinal space charge effects. The simulation results show that, based on the proposed scheme, a microbunch train can be generated with a beam kinetic energy of approximately 3 MeV, a microbunch length of about 800 as (rms) with microbunch charge of up to 2 fC and a tunable microbunch spacing of around 0.2 mm. The output microbunch length can be controlled by tuning the downstream longitudinal dispersion, while adjustment of the upstream dispersion manipulates the microbunch structure into a periodic comb-like train, each accompanied by one or more pairs of temporal satellite pulses.

Multi-turn multi-bunch coupled micro-bunch instability | paper

The mechanism of the steady-state microbunching (SSMB) storage ring is being actively investigated. In the conceptual design, a laser modulator used to modulate the electron beam includes the co-propagating laser beam, undulator magnets and potential cavity mirrors, forming a laser modulator cavity. In this study we discuss the multibunch multiturn collective dynamics that may arise due to undulator radiation, when the electron beam passes through the laser modulator cavity. We formulate this multibunch multiturn problem based on a macroparticle model. We then derive the dispersion equation, introduce a detuning parameter to characterize the frequency deviation between the external laser and the resonant undulator radiation, and solve for the instability growth rates of different multibunch modes. The results indicate that, if a multibunch oscillation mode approaches a fractional multiple of the total number of microbunches in detuning, the system tends to display instability. Or in other words when the detuning approaches a specific multibunch mode divided by the number of total microbunches, this instability mechanism tends to amplify that mode. Furthermore, the effect of potential well distortion is briefly discussed. This study may shed light on the underlying physical mechanisms of the multibunch multiturn collective beam dynamics in the laser cavity modulators of an SSMB storage ring.

Using SSMB to generate coherent, continuous, kilowatt terahertz radiation | paper

Owing to its unique position in the electromagnetic spectrum, terahertz (THz) radiation holds tremendous scientific value and potential applications in fundamental science, biomedical research, and spectroscopy. In this work we propose a novel mechanism to generate continuous kilowatt coherent THz radiation based on self-sustained laser modulation in a steady-state microbunching storage ring. Our analysis and calculations support the potential feasibility of this novel mechanism. Our demonstrated example shows that at 600 MeV electron beam energy, within the cavity reflectivity range 𝑅 ≈ 0.9995 ∼ 0.9996, approximately 1 kW of continuous coherent radiation at 5 THz can be generated. Since this scheme is based on free electrons, similar radiation output characteristics can be tuned across a wide range of 1–10 THz, making it an exceptionally valuable tool for scientific exploration.

Multi-FELOs Driven by a Common Electron Beam | paper

This is an interesting and ongoing topic, with original idea from (and recently collaborated with) Y. Zhang (JLab). Generating an x-ray free electron laser (FEL) requires a high brightness electron beam from a big, complex and expensive multi-GeV linear RF accelerator. To produce multiple x-ray FEL beams, the linac electron beam must be shared to enable one beam driving a single undulator. This results in low average electron current and compromised FEL performance. Recently, a concept of multiple x-ray FEL beams driven by one common electron beam was proposed, which enables substantial reduction of required equipment and improvement of productivity. In this paper, we present a simulation study to demonstrate this innovative concept could work. The system consists of two oscillator-type x-ray FEL devices arranged side-by-side and one electron beam passing through them. As such, the second, downstream x-ray FEL oscillator is driven by electron bunches already been used once while the first x-ray FEL oscillator always receives fresh electron bunches from the linac. The simulations were based on the 1-D FEL model. The study shows that lasing could be achieved for both x-ray FEL oscillators, their radiation field intensities at saturation can be comparable, thus meet demanding needs of users. The concept also enables a potential application using a circulator ring such that an oscillator can be driven alternately by fresh electron bunches from the linear accelerator and used bunches in the circulator ring.

Analytical analysis of high harmonic microbunching for seeded FELs | paper

Short-wavelength single-pass free electron lasers (FEL) are capable of generating transverse-coherent and high-power radiations. Compared with the self-amplified spontaneous emission (SASE) FEL scheme, seeded FEL schemes can, in principle, improve the longitudinal coherence of radiation pulses. In recent years, the research community has pursued the realization of high-repetition-rate (MHz) and high-average-power (kW) seeded FELs. To alleviate the requirements of external seeding lasers, many novel seeding schemes have been proposed, which are currently limited by the state-of-the-art laser systems. An analytical study of a recently proposed seeding scheme based on direct-amplification-enabled harmonic generation (DEHG) is presented herein. In contrast to the complete numerical simulations and optimization design, this study starts from one-dimensional FEL equations of motion and derives an analytical formula for the harmonic bunching factor at the chicane exit after the electron beam traverses the modulator undulator. Additionally, to obtain a quick estimate of downstream high-gain FEL performance, we constructed a linear high-gain FEL transport matrix, including the three-dimensional effects incorporated by the Ming-Xie formula. As an application of the analytical formulas, we discuss three different cases for designing and optimizing the seeding scheme. We expect this analytical approach to shed light on seeding designs that aim to produce the desired high-brightness mirobunched electron beam.

Single-pass multi-bunch beam breakup instability | paper

It has been known that a high-brightness electron beam emits broadband synchrotron radiation when traversing a curved orbit. The radiation reaction at wavelengths comparable to the bunch length or to the wavelength of a phase space modulated beam may lead to collective instabilities. In this paper, we investigate a potential single-pass instability mechanism of coherent-radiation-induced longitudinal multibunch beam breakup (BBU) instability in the presence of a closely spaced microbunch train in an undulator, particularly when the microbunch spacing is close to the resonant wavelength of the undulator. This problem is formulated based on the macroparticle model together with the slippage constraint on the beam-wave interaction. The set of coupled differential equations for individual microbunches can be solved analytically for the first few microbunches with linearization of the coherent radiation wakefield, and numerically in general nonlinear cases for unequal spacing or nonuniform filling charges. The underlying mechanisms, including the slippage effect, the potential-well effect leading to extra focusing, dependence of microbunch spacing and filling patterns, are discussed. The analysis is then applied to the recently proposed steady-state microbunching (SSMB) mechanism with two examples serving for the high average coherent radiation power sources for extreme ultraviolet (EUV) and infrared wavelength regions. For the specific scenario considered in this paper, it is found that when the microbunch spacing is close to the fundamental resonant wavelength, the coherent radiation can provide extra longitudinal focusing for the individual microbunches, leading to more stable multibunch oscillations. For the preliminary nominal SSMB designs with the average beam current of 1 A, our studies show that the single-pass longitudinal BBU instability should not be a severe issue.

Multi-pass single-bunch FEL-like instability | paper01 | paper02

Recently a mechanism of storage ring operation based on the steady-state microbunching has been proposed and investigated, which contains a laser cavity modulator providing the longitudinal focusing for the circulating microbunches. In this paper we analyze the impact of the coherent undulator radiation on the longitudinal single-bunch multi-turn collective dynamics, exploring a new possible instability mechanism. We formulate the multi-turn equations of motion for the single microbunch as two sets of difference equations in the modulator and in the remaining storage ring. The dispersion equation can then be obtained by introduction of the undulator-averaged phase space coordinates. The predicted instability growth rate shows reasonable agreement with the numerical turn-by-turn tracking simulations provided validity of the underlying assumptions. The analysis shall provide some insights for the coherent undulator radiation driven multi-turn instability in the cavity modulator. Differences between such a new instability mechanism and the Robinson instability in a conventional radio-frequency-based storage ring are also discussed.

Fast and efficient bunch slice-by-slice tracking for a high-bightness electron beam transport | paper

Preserving the phase space quality has been of crucial importance to high-brightness electron beam transport. Any driving source of beam performance limitations in such a transport system must be carefully examined in order to preserve the beam phase space quality. It is found that in the low beam energy, high bunch charge regime, space charge effect on the charged particle beam evolution can be complicated. It may be insufficient to analyze the beam properties through the envelope or lower order moments for the mere bulk of the beam. In this work we will study the space-charge-dominated, low-energy, high-brightness electron beam dynamics based on the slice beam matrix method. The slice beam matrix method, extended from the existing bulk beam analysis, is applicable to an arbitrary longitudinal bunch distribution and can thus take the nonlinear RF curvature into account. The semi-analytical sliced beam space charge model is constructed and assumes an axisymmetric beam in the presence of perfect conducting cylindrical pipe with circular cross section. We present in this paper the theoretical formulation, starting from single-particle dynamics, space charge field calculation, followed by the moment description of a collection of particles, based on beam sigma matrix and longitudinal slice decomposition. We prove the equivalence between the beam matrix method and the envelope formalism in the presence of space charge effect, in both the transverse and longitudinal dimensions. Two examples are then demonstrated, one for a unit cell of superconducting radio-frequency (RF) cavity and the other for a 1.5-cell RF gun system. The semi-analytical results from beam matrix calculation are discussed and compared with particle tracking simulation using ASTRA. We expect that the analysis based on the slice beam matrix method shall serve as an efficient and advanced tool to further investigate the low-energy high-brightness electron beam dynamics.

Single-pass microbunching instability in linear or recirculating accelerators

In recent years we continue to extend/develop a theoretical formulation to single-pass microbunching instability in linear or recirculating accelerators by including both horizontal and vertical bends (where CSR come into play), transversely coupled (magnetized) beam, generic conditions for suppression of the microbunching instabilities, and incoherent intrabeam scattering (IBS). See Publications for more detals.

We also develop a semi-analytical Vlasov solver for efficient calculation of the microbunching gain for a gener linear transport lattice. This solver, volterra, is by written by MATLAB, GUI-based, incorporated with particle tracking code ELEGANT. See source code for more details.

Post-saturation dynamics of single-pass free-electron lasers | paper01 | paper02 | paper03

When an untapered high-gain free electron laser (FEL) reaches saturation, the exponential growth ceases and the radiation power starts to oscillate about an equilibrium. The FEL radiation power or efficiency can be increased by undulator tapering. For a high-gain tapered FEL, although the power is enhanced after the first saturation, it is known that there is a so-called second saturation where the FEL power growth stops even with a tapered undulator system. The sideband instability is one of the primary reasons leading to this second saturation. In this paper, we provide a quantitative analysis on how the gradient of undulator tapering can mitigate the sideband growth. The study is carried out semianalytically and compared with one-dimensional numerical simulations. The sideband field gain and the evolution of the radiation spectra for different gradients of undulator tapering are examined. It is found that a strong undulator tapering (∼10%) provides effective suppression of the sideband instability in the postsaturation regime. Moreover, in this regime the gain guiding decreases and the simple constant detune is no longer valid. In this paper we study the single-pass high-gain FEL performance in the post-saturation regime with inclusion of diffraction effect and undulator tapering. Our analysis relies upon two constants of motion, one from the energy conservation and the other from the adiabatic invariant of the action variable. By constructing a two-dimensional axisymmetric wave equation and the coupled one-dimensional electron dynamical equations, the performance of a tapered FEL in the postsaturation regime can be analyzed, including the fundamental mode profile, the power efficiency and the scaled energy spread. We begin the analytical investigation with two different axisymmetric electron beam profiles, the uniform and bounded parabolic ones. It is found that the tapered FEL power efficiency can be smaller but close to the taper ratio provided the resonant phase remains constant and the beam-wave is properly matched. Such a tapered efficiency is nearly independent of transverse electron beam size before significant electron detrapping occurs. This is essentially different from the untapered case, where the power extraction efficiency is around the essential FEL gain bandwidth (or ρ, the Pierce or FEL parameter) and depends on the beam size. It is also found that the power enhancement due to undulator tapering is attributed more by the field increase outside the transverse electron beam than that inside the transverse electron beam.

Coherent synchrotron radiation (CSR) wakes and impedances for low-energy beams | paper01 | paper02

For the analysis of CSR induced microbunching gain in the low energy regime, such as when a high-brightness electron beam is transported through a low-energy merger in an energy-recovery linac (ERL) design, it is necessary to extend the existing CSR impedance expression from the ultrarelativistic limit to the non-ultrarelativistic regime. Analytical expression of CSR impedance is necessary for the study of the CSR-induced microbunching instability. We derived analytical formulas for the steady-state, the transient CSR impedance of the entrance and exit cases for the non-ultrarelativistic regime, and show that the new results reduce to the existing expressions at the ultrarelativistic limit.

Publications

Journal Papers:

For a complete list, see Google Scholar.

1. Study of the longitudinal multibunch multiturn collective dynamics in the laser modulators of a steady-state microbunching storage ring: A macroparticle model
   C.-Y. Tsai
   Nucl. Instru. Methods A 1083, 171127 (2026) | paper

2. A mechanism to generate continuous kilowatt coherent THz radiation based on self-sustained laser modulation in a steady-state microbunching storage ring
   C.-Y. Tsai
   Optics Letters 50, 18 (2025) | paper

3. Simple model for electron beam dynamics in laser modulators and radiation characteristics of steady-state microbunching storage ring
   C.-Y. Tsai, X.J. Deng
   Phys. Rev. Accel. Beam 28, 074402 (2025) | paper

4. Cancelation of coherent synchrotron radiation kicks in chicane bunch compressors
   F. Zeng, Y. Jiao, W. Liu, C.-Y. Tsai
   Phys. Rev. Accel. Beam 28, 070701 (2025) | paper

5. Solvable model of the coherent synchrotron radiation effects in a four-bend chicane compressor
   F. Zeng, Y. Jiao, W. Liu, C.-Y. Tsai
   New J. Phys. 27, 063801 (2025) | paper

6. Characterization and correction of multipole field effect on electron beams from a high-brightness continuous-wave photocathode gun
   H. Jia, T. Li, J. Liu, Z. Liu, X. Zhang, J. Li, K. Liu, C.-Y. Tsai, H. Xu, and S. Huang
   Phys. Rev. Accel. Beam 28, 023402 (2025) | paper

7. Self-synchronized ultrafast electron beam diagnostics using a split-ring resonator driven by multicycle THz pulses
   H. Qi, Y. Song, C.-Y. Tsai, Y. Xu, Z. Liu, J. Yang, K. Fan
   Nuclear Engineering and Technology 57, 103434 (2025) | paper

8. Manipulation and diagnosis of femtosecond relativistic electron bunch using terahertz-driven resonators
   Y. Xu, Y. Song, C.-Y. Tsai, J. Wang, Z. Liu, K. Fan, J. Yang, and O. Meshkov
   Nuclear Engineering and Technology 56, 4237-4246 (2024) | paper

9. Analytical formulas of coherent-synchrotron-radiation induced microbunching gain and emittance growth in an arbitrary achromatic four-bend chicane
   B. Liu, C.-Y. Tsai, Y. Jiao, W. Liu, F. Zeng, W. Qin
   Nucl. Instru. Methods A 1067, 169703 (2024) | paper

10. Mitigation of the Microbunching Instability Through Transverse Landau Damping
    A.D. Brynes, G. Perosa, C.-Y. Tsai, E. Allaria, L. Badano, G. De Ninno, E. Ferrari, D. Garzella, L. Giannessi, G. Penco, P. Rebernik Ribic, E. Roussel, S. Spampinati, C. Spezzani, M. Trovo, M. Veronese, S. Di Mitri
    Phys. Rev. Accel. Beam 27, 074402 (2024) | paper

11. Towards precise diagnosis time profile of ultrafast electron bunch trains using orthogonal terahertz streak camera
    Y. Xu, Y. Song, C.-Y. Tsai, J. Wang, Z. Liu, H. Qi, K. Fan, J. Yang, and O.I. Meshkov
    Optics Express 31, 19777 (2023) | paper

12. Generalized central slice theorem perspective on Fourier-transform spectral imaging at a sub-Nyquist sampling rate
    T. Men, L. Tang, H. Tang, Y. Hu, P. Li, J. Su, Y. Zuo, C.-Y. Tsai, Z. Liu, K. Fan, and Z. Li
    Optics Express 31, 22040 (2023) | paper

13. Suppression of the coherent synchrotron radiation induced emittance growth in a double-bend achromat with bunch compression
    C. Zhang, Y. Jiao, W. Liu, and C.-Y. Tsai
    Phys. Rev. Accel. Beam 26, 050701 (2023) | paper

14. Analytical study of higher harmonic bunching and matrix formalism in linear high-gain free-electron laser model
    C.-Y. Tsai, J. Zhou, X. Wang and L. Zeng
    Nucl. Instru. Methods A 1048, 167974 (2023) | paper

15. MeV electron bunch compression and timing jitter suppression using a THz-driven resonator
    Y. Song, C.-Y. Tsai, K. Fan, J. Yang, and H. Qi
    Nucl. Instru. Methods A 1047, 167774 (2023) | paper

16. Average and statistical property of coherent radiation from steady-state microbunching
    X.J. Deng, Y. Zhang, Z.L. Pan, Z.Z. Li, J.H. Bian, C.-Y. Tsai, R.K. Li, A.W. Chao, W.H. Huang and C.X. Tang
    Journal of Synchrotron Radiation 1042, 167454 (2022) | paper

17. Longitudinal single-bunch instabilities driven by coherent undulator radiation in the cavity modulator of a steady-state microbunching storage ring
    C.-Y. Tsai
    Nucl. Instru. Methods A 1042, 167454 (2022) | paper

18. Theoretical formulation of multi-turn collective dynamics in a laser cavity modulator with comparison to Robinson and high-gain free-electron laser instability
    C.-Y. Tsai
    Phys. Rev. Accel. Beam 25, 064401 (2022) | paper

19. Coherent radiation induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
    C.-Y. Tsai, A.W. Chao, Y. Jiao, H.-W. Luo, M. Ying, and Q. Zhou
    Phys. Rev. Accel. Beam 24, 114401 (2021) | paper

20. Isochronous and CSR-immune triple-bend achromat with periodic stable optics
    C. Zhang, Y. Jiao, and C.-Y. Tsai
    Phys. Rev. Accel. Beams 24, 060701 (2021) | paper

21. Semi-analytical analysis of high-brightness microbunched beam dynamics with collective and intrabeam scattering effects
    C.-Y. Tsai and W .Qin
    Phys. Plasmas 28, 013112 (2021) | paper

22. Analytical model of the streaking process in a single split-ring resonator for sub-ps electron pulse
    Y. Song, C.-Y. Tsai, K. Fan, Y. Xu, and J. Yang
    Nucl. Instru. Methods A 987, 164861 (2020) | paper

23. Two-stage reflective self-seeding scheme for high-repetition-rate X-ray free-electron lasers
    G. Zhou, Z. Qu, Y. Ma, W.J. Corbett, Y. Jiao, H. Li, W. Qin, T.O. Raubenheimer, C.-Y. Tsai, J. Wang, C. Yang and J. Wu
    Journal of Synchrotron Radiation 28, 1-8 (2021) | paper

24. Coherence time characterization for hard x-ray free-electron Lasers
    G. Zhou, Y. Jiao, T. Raubenheimer, J. Wang, A. Holman, C.-Y. Tsai, J. Wu, W. Wu, C. Yang, M. Yoon, and J. Wu
    Optics Express 28, 10928 (2020) | paper

25. Attosecond coherence time characterization in hard x-ray free-electron laser
    G. Zhou, F.-J. Decker, Y. Ding, Y. Jiao, A. Lutman, T.J. Maxwell, T. Raubenheimer, J. Wang, C.-Y. Tsai, J.Y. Wu, W. Wu, C. Yang, M. Yoon, and J. Wu
    Scientific Report 10, 5961 (2020) | paper

26. Theoretical formulation of phase space microbunching instability in the presence of intrabeam scattering for single-pass or recirculation accelerators
    C.-Y. Tsai, W. Qin, K. Fan, X. Wang, J. Wu, and G. Zhou
    Phys. Rev. Accel. Beams 23, 124401 (2020) | paper

27. The seed energy fluctuation of hard X-ray self-seeding Free Electron Laser
    C. Yang, X. Wang, C.-Y. Tsai, G. Zhou, Z. Zhang, E. D. Krug, A. Li, H. Deng, D. He, and J. Wu
    AIP Advances 9, 035254 (2019) | paper

28. The detuning effect of crystal monochromator in self-seeding and oscillator free electron laser
    C. Yang, C.-Y. Tsai, G. Zhou, X. Wang, Y. Hong, E. D. Krug, A. Li, H. Deng, D. He, and J. Wu
    Optics Express 27, 013229 (2019) | paper

29. Obliquely incident laser and electron beam interaction in an undulator
    X. Wang, C. Feng, C.-Y. Tsai, L. Zeng, and Z. Zhao
    Phys. Rev. Accel. Beams 22, 070701 (2019) | paper

30. Angular Dispersion Enhanced Prebunch for Seeding Ultrashort and Coherent EUV and Soft X-Ray Free-Electron Laser in Storage Rings
    X. Wang, C. Feng, T. Liu, Z. Zhang, C.-Y. Tsai, J. Wu, C. Yang and Z. Zhao
    Journal of Synchrotron Radiation 26, 677-684 (2019) | paper

31. An alternative view of coherent synchrotron radiation induced microbunching development in multibend recirculation arcs
    C.-Y. Tsai
    Nucl. Instru. Methods A 943, 162499 (2019) | paper

32. Concatenated analysis of phase space microbunching in high brightness electron beam transport
    C.-Y. Tsai
    Nucl. Instru. Methods A 940, 462-474 (2019) | paper

33. Low-energy high-brightness electron beam dynamics based on slice beam matrix method
    C.-Y. Tsai, K. Fan, G. Feng, J. Wu, G. Zhou, and Y. H. Wu
    Nucl. Instru. Methods A 937, 1-20 (2019) | paper

34. Area preserving scheme for efficiency enhancement in a single-pass tapered FEL
    C.-Y. Tsai, C. Emma, J. Wu, C. Yang, M. Yoon, and G. Zhou
    Nucl. Instru. Methods A 913, 107-119 (2019) | paper

35. Single-pass high-gain free-electron laser with transverse diffraction in the post-saturation regime
    C.-Y. Tsai, J. Wu, C. Yang, M. Yoon, and G. Zhou
    Phys. Rev. Accel. Beams 21, 060702 (2018) | paper

36. Sideband instability analysis based on a one-dimensional high-gain free electron laser model
    C.-Y. Tsai, J. Wu, C. Yang, M. Yoon, and G. Zhou
    Phys. Rev. Accel. Beams 20, 120702 (2017) | paper

37. Vlasov analysis of microbunching instability for magnetized beams
    C.-Y. Tsai, Ya. Derbenev, D. Douglas, R. Li, and C. Tennant
    Phys. Rev. Accel. Beams 20, 054401 (2017) | paper

38. Conditions for coherent-synchrotron-radiation-induced microbunching suppression in multi-bend beam transport or recirculation arcs
    C.-Y. Tsai, S. Di Mitri, D. Douglas, R. Li, and C. Tennant
    Phys. Rev. Accel. Beams 20, 024401 (2017) | paper

39. Linear Microbunching Analysis for Recirculation Machines
    C.-Y. Tsai, D. Douglas, R. Li, and C. Tennant
    Phys. Rev. Accel. Beams 19, 114401 (2016) | paper

40. Production of Highly Polarized Positrons Using Polarized Electrons at MeV Energies
    D. Abbott et al.
    Phys. Rev. Lett. 116, 214801 (2016) | paper

41. Study of a High-Order-Mode Gyrotron Traveling-Wave Amplifier
    C.C. Chiu, C.-Y. Tsai, S.H. Kao, K.R. Chu, L.R. Barnett, and N.C. Luhmann
    Physics of Plasmas 17, 113104 (2010) | paper

Conference Papers:

See Google Scholar for a complete list.

Notes

Reading Notes:

1. 2024/06 | PDF

2. 2024/05 | PDF

3. 2024/04 | PDF

4. 2024/03 | PDF

5. 2024/02 | PDF

6. 2024/01 | PDF

7. 2023/12 | PDF

8. 2023/11 | PDF

9. 2023/10 | PDF

10. 2023/09 | PDF

11. 2023/08 | PDF

12. 2023/07 | PDF

13. 2023/06 | PDF

14. 2023/05 | PDF

15. 2023/04 | PDF

16. 2023/03 | PDF

17. 2023/02 | PDF

18. 2023/01 | PDF

19. 2022/12 | PDF

20. 2022/11 | PDF

21. 2022/10 | PDF

22. 2022/09 | PDF

23. 2022/08 | PDF

24. 2022/07 | PDF

25. 2022/06 | PDF

26. 2022/05 | PDF

27. 2022/04 | PDF

28. 2022/03 | PDF

29. 2022/02 | PDF

30. 2022/01 | PDF

31. 2021/12 | PDF

32. 2021/11 | PDF

33. 2021/10 | PDF

34. 2021/09 | PDF

35. 2021/08 | PDF

36. 2021/07 | PDF

37. 2021/06 | PDF

38. 2021/05 | PDF

39. 2021/04 | PDF

40. 2021/03 | PDF

41. 2021/02 | PDF

42. 2021/01 | PDF

43. 2020/12以前 | PDF

Lecture Notes:

1. 第零章 - 几个术语、惯例、基础知识与单位制转换 | PDF

2. 第一章 - 电磁场基础 | PDF

3. 第二、三章 - 电磁辐射基础 | PDF

4. 第四、五章 - 同步辐射与波荡器辐射 | PDF

5. 第六章 - 哈密顿力学基础 | PDF

6. 第七章 - 横向运动 | PDF

7. 第八章 - 纵向运动 | PDF

8. 第九、十章 - 多电子辐射、FEL | PDF

9. 第十一章 - 尾场、阻抗 | PDF

10. 第十二章 - 宏粒子模型 | PDF

11. 第十三章 - 动理学模型 | PDF

12. 第十四章 - UED | PDF

13. 第十五章 - 相干同步辐射 | PDF

14. 第十六章 - 微束团动力学 | PDF

15. 第十七章 - 束测基础 | PDF

16. 附录 - 其它 | PDF

Teach

电磁场与波

1. 第二章 - 数理基础 | PDF

2. 第三章 - 静电场 | PDF

3. 第四章 - 恒定电流场 | PDF

4. 第五章 - 恒定磁场 | PDF

5. 第六章 - 静场边值问题 | PDF

6. 第七章 - 时变电磁场 | PDF

7. 第八章 - 低频近似 | PDF

8. 第九章 - 高频近似 | PDF

9. 讨论课 | 2023学期 | 2024学期 | 2025学期

带电粒子束、束流传输

1. see Lecture Notes...