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Until recently, electromagnetic finite element PIC (EM-FEMPIC) methods thatdemonstrated charge conservation used explicit field solvers. It is onlyrecently, that a series of papers developed the mathematics necessary forcharge conservation within an implicit field solve and demonstrated for anumber of examples. This permits using time steps sizes that are necessary tocapture the physics as opposed to being restricted to those constrained bygeometry. One aspect that is missing is higher order basis functions torepresent both fields and particles. Higher order basis can be particularlyhelpful in effectively capturing complex field layouts with fewer degrees offreedom. Developing a framework for higher order EM-FEMPIC that maintainsstability, improves accuracy, and conserves charge is the principal goal ofthis paper. A number of results are presented that attest to its efficacy.

Higher Order Charge Conserving Electromagnetic Finite Element Particle in Cell Method