“…Similarly, diverse time domain mathematical approaches, i.e., Finite Difference Time Domain (FDTD) [7], Coupling method [8], Finite Integral Time Domain (FITD) [9], Plane Wave Expansion (PWE) [10], along with frequency domain methods such as the Finite Elements Method (FEM) [11], Method of Moments [12], Transfer Matric Method (TMM) [13] and Fast Multi-pole Method (FMM) [14], are being used to design these components. Mainly dielectrics and semiconductors have been utilized for the design of optical components, which in turn can be modified into different forms to achieve various functionalities, such as optical waveguides [15], directional couplers [16] and Photonic Crystals (PhCs) [17]. By definition, PhCs are dielectric material-based nanostructures that are capable of controlling light at the wavelength scale.…”