In this work, we show that suitably designed spatially varying linearly polarized light provides a versatile route to generate and control pseudomagnetic fields in Weyl semimetals through Floquet engineering. Within a high-frequency expansion, we derive an effective axial gauge potential ${\mathit{A}}_5\left(\mathit{r}\right)$ whose curl gives the pseudomagnetic field ${\mathit{B}}_5\left(\mathit{r}\right)$. By mapping the light profile to ${\mathit{A}}_5\left(\mathit{r}\right)$, we establish design principles for pseudomagnetic field textures that mimic strain-induced gauge fields while offering key advantages like dynamic control, full reversibility, spatial selectivity, and absence of material deformation. We compare the Landau-level spectra produced by uniform real and pseudomagnetic fields and also analyze both their linear optical conductivity and the second-order dc responses. Our results enable real-time manipulation of pseudomagnetic fields and predict clear experimental signatures for optically engineered gauge fields in topological semimetals.

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• Landau levels
• Light-induced magnetic effects
• Light-matter interaction
• Nonlinear optics
• Optical conductivity
• Floquet systems
• Topological materials