We show that new families of diffraction-free nonparaxial accelerating optical beams can be generated by considering the symmetries of the underlying vectorial Helmholtz equation. Both two-dimensional transverse electric and magnetic accelerating wave fronts are possible, capable of moving along elliptic trajectories. Experimental results corroborate these predictions when these waves are launc...

Many astrophysical hydrodynamics simulations must account for gravity, and evaluating the gravitational field at positions of all resolution elements can incur significant cost. Typical algorithms update position each element every time is updated hydrodynamically, but actual required frequencies gravity be different in general. We show that calculation optimised by only updating on a timescale...