Automated Self-Convolution Applied to Synchrotron Radiation Spectra

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Automated Self-Convolution Applied to Synchrotron Radiation Spectra

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1. Automated Self-Convolution Applied to Synchrotron Radiation Spectra

2. Motivation & “What’s New”

3. Convolution (Faltung)

4. Cumulative Probability Density Distributions

5. Synchrotron Radiation

6. Road Map for analytic convolution

7. Coordinates & Defnitions

8. Semi-invariants

9. Inverse transform and use of reduced variable

10. Tchebychev-Hermite polynomial expansion about gaussian kernel

11. Algorithm, program & example

12. Definitions for longitudinal motion & synchrotron radiation

13. Longitudinal FDEs for synchrotron radiation

14. Simulations of the CLS longitudinal dynamics

15. Selected References

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