In this study, we theoretically examine and analyze quasi-periodic 1D photonic crystal structure’s optical transmittance and reflectance properties. The suggested design consists of alternating silicon (Si) and air layers arranged in various quasi-periodic sequences, viz. Fibonacci, Thue-Morse, and Double-Periodic structures. These quasi-periodic PCs’ optical reflectance and transmittance measurements are contrasted with those of the periodic 1D-PC. The Transfer Matrix Method is used to obtain the reflectance and transmittance spectra of the suggested structures. Using transmission curve analysis at normal incidence angle, of different PCs, it has been observed that a periodic sequence (conventional 1d-PC) shows a broad photonic band gap of 1398.4 nm in the near infrared region. In addition to a wider photonic band, some narrow transmission peaks are also detected in the same region of electromagnetic spectrum when compared with the quasi-periodic structure. Fibonacci sequence shows three photonic band gaps of width 402.7 nm, 207.1 and 1360 nm, nm respectively, and one narrow transmission peak lies at 1549.9 nm (99% transmission) in the near IR region. Thue-Morse sequence has two photonic band gaps of 446.7 and 1532.8 nm, and two transmission modes lie at 1293.3 nm (99% and 1932.9 (100%) nm respectively. Further, the effect of the incidence angle, number of sequences, and refractive index contrast on the quasi-periodic structure’s transmittance and reflectance spectra has also been studied. In photonic devices, these quasi-periodic structures can be employed as narrow transmission filters and broad band optical reflectors.