In the ultrarelativistic limit it is possible to greatly simplify the manifestly covariant equations of motion for an electron. As such, we can bypass the need for constantly synchronizing the phase of the incident laser field with the electron as it propagates through the periodic enhanced laser near-field. Therefore, using FDTD numeric simulations, realized in MEEP, we propagate the field through the microstructure configuration. After optimizing the near-field energy density by sweeping the parameter space we have compared our semi-analytic result with a fully numeric integration realized using the package DifferentialEquations.jl from the Julia programming language. Finally, once we have an adequate design, we fabricated the 3D microstructures using laser direct writing via TPP (two photon polymerization). The technological limits such as fabrication tolerances have been tested and optimisation steps have been established.
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