▎ 摘　　要

Electron optics is the systematic use of electromagnetic (EM) fields to control electron motions. In graphene, motion. Here we demonstrate the use of substrate topography to impart desirable strain on graphene to induce static pseudo-EM fields. We derive the quasi-classical equation of motion for Dirac Fermions in a pseudo-EM field in graphene and establish the correspondence between the quasi-classical and quantum mechanical snake states. Based on the trajectory analysis, we design sculpted substrates to realize various "optical devices" such as a converging lens or a collimator, and further propose a setup to achieve valley Hall effect solely through substrate patterning, without any external fields, to be used in valleytronics applications. Finally, we discuss how the predicted strain/pseudo-EM field patterns can be experimentally sustained by typical substrates and generalized to other 2D materials. KEYWORDS: graphene, pseudomagnetic field, elastic deformations, Fo??ppl-von Ka??rma??n equations, electron optics, valley Hall effect