Analytical model of waveform-controlled single-cycle light pulses from an undulator

Area of Science:

• Physics
• Optics
• Quantum Electronics

Background:

• Previous work demonstrated the numerical possibility of producing ultrashort optical pulses via coherent electron radiation in an undulator.
• These pulses consist of a single oscillation cycle with a stable carrier-envelope phase and controlled waveform.

Purpose of the Study:

• To provide an analytical model for the radiation mechanism of single-cycle optical pulse generation.
• To investigate the relationship between optical and undulator fields, light dispersion, and pulse shape dependence on undulator strength.

Main Methods:

• Development of an analytical model for coherent radiation of electrons in an undulator.
• Analysis of the radiation mechanism to understand pulse characteristics.

Main Results:

• Established a correlation between the waveforms of the optical and undulator fields.
• Analyzed the free-space dispersion of transversely confined light.
• Identified the dependence of the optical pulse shape on the undulator field strength.

Conclusions:

• The analytical model provides a deeper understanding of single-cycle optical pulse generation.
• Key parameters influencing pulse characteristics have been identified, enabling better control over waveform and phase.