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Interference effects form a fundamental pillar of quantum mechanics. In thispaper, we examine the interference in spin-orbit coupled transverse magneticfocusing, where a weak magnetic field is used to focus charge carries overmesoscopic scales. We determine a semi-classical form for the Green's functionin a weak magnetic field, for the case of both spin-less and spin-orbit coupledcharge carriers. The obtained forms for the Greens' function are independent ofparticle dispersion and are thus applicable to a wide variety of systems.

Interference effects and Huygens' principle in transverse magnetic focusing of electrons and holes