The optical transmittance properties of single-hole arrays and three-hole chain (vertical) arrays with different geometrical parameters were numerically investigated. It was shown that on increasing the vertical distance between the holes in the hole chain array, the FWHM of the (1,0) resonance mode was decreased and minimum FWHM of 29 nm was obtained for a vertical gap of 48 nm between each side hole. A 1.5–2.0 times larger transmittance enhancement was observed by varying the incident light polarization from the y axis to the x axis. Furthermore, it was found that the optical transmittance of the hole chain array in the case of linearly x-axis polarized incident electromagnetic (EM) field was ～6 times larger than that linearly y-axis polarized incident EM field.