Abstract:This paper combines the differential-Thompson transformation involved in hydromechanics with the finite difference time domain (FDTD) technique to form Thompson-FDTD method. This method is applied by the first time to calculate the electromagnetic scattering properties of arbitrarily shaped dielectric objects. This method has at least two obvious advantages: It can transform arbitrary shaped bodies into regular structures and thus the boundary conditions are matched accurately; it can willfully dispose the grid distribution and thus better numerical accuracy is achieved. The numerical simulation further confirms its validity.