In this paper, photonic crystals (PC) based on 2-D periodic arrays of air holes were investigated on Si-ion implanted SiO2 using finite-difference time-domain (FDTD) simulations. The PC design parameters based on the telecommunication wavelength (λ=1.55 µm) were obtained by varying the radius to lattice constant ratio (r/a) from 0.2 to 0.45. We analyzed both transverse electric (TE) and transverse magnetic (TM) mode propagation in triangular-lattice PCs. The result obtained shows that a PC bandgap (PBG) exists for TE-mode propagation in the Si-ion implanted SiO2 patterned 2-D triangular lattice of air holes. We have also calculated the dispersion relations for the TE mode of a line defect in the structure and shown a fabricated sample. These analyses are obviously important for fabricating novel PC waveguides, which can easily be integrated into the existing silicon technology for directing light from one part of a chip to the other.