A Laser Wakefield Accelerator Stage Sized by Dephasing Length and Plasma Wavelength

This paper presents a computed design for a single laser wakefield acceleration stage driven by a 30 fs, 800 nm pulse in a centimetre-scale gas target. The sizing follows from applying the relevant intensity, thermal, nonlinear and geometric bounds at a single stated operating point, with every number produced by a deposited computation. The headline result is a plasma wavelength of 33 micrometres, a dephasing length of 5.4 cm, an accelerating gradient scale of 96 GV/m, and an estimated energy gain of 5.2 GeV over one stage, with the critical-to-plasma density ratio at 1719. The binding constraint is identified explicitly: dephasing of the accelerated bunch from the wake and laser pump depletion arriving at different lengths, either of which caps the energy gain. The design is SIMULATED, NOT MEASURED: no hardware was built for this study, and all performance figures are predictions from stated assumptions, offered as a basis for a build decision and a measurement plan.