The conventionally classified waves are reclassified in this paper, including the waves associated with metamaterial (MTM) transmission lines. Various types of guided waves in periodic structures are analyzed for 1D Composite Right/Left Handed (CRLH) transmission lines (TL). In addition, dispersion diagrams for 1D CRLH, RH, and LH TLs are presented in terms of radiation conditions. We have refined the design equations of the conventional 1D CRLH TL and proposed a condition to realize the desired phase shift and its slope per unit cell. This condition has been applied to the conventional Wilkinson power divider and realized into MTM added $90^{circ}$ hybrid coupler. Based on the 10 dB return loss and the $90{pm}10^{circ}$ phase shift, the bandwidths of the MTM added $90^{circ}$ hybrid coupler are 82.25% and 103.5% against the conventional 23% and 52.5%, respectively.