We experimentally demonstrate compact, broadband directional couplers using sub-wavelength gratings for silicon-on-insulator wafers with silicon layers of 220nm. The dispersion properties of the optical modes are engineered using sub-wavelength gratings, which allows broadband operation. Finite-difference time-domain based band structure calculations, with significantly reduced simulation time, were used to analyze the design, which included both the structure and the material dispersions. Compact broadband direction couplers, with device lengths shorter than 14µm, which cover a bandwidth of 100nm, for power splitting ratios of 50/50, 40/60, 30/70, and 20/80, are designed and fabricated for the fundamental transverse electric mode with a central operating wavelength of 1550nm.