Calculation of Effective Refractive Index for Long-Period Fiber Grating Core Modes

This MATLAB program calculates the effective refractive index for core modes in long-period fiber gratings (LPGs). Long-period fiber grating core modes serve as crucial optical components widely applied in optical communications and sensor technologies. By computing the effective refractive index, we can gain deeper insights into the properties of fiber grating core modes and provide stronger theoretical foundations for their applications. The program employs numerical methods such as finite difference or mode-solving algorithms to ensure accurate and reliable computational results. Key functions include parameter initialization for fiber geometry and material properties, implementation of dispersion relations, and iterative solvers for eigenvalue problems. The code features a graphical user interface (GUI) that facilitates parameter input through interactive controls and displays results via plotting functions, making the tool intuitive and user-friendly. This implementation allows researchers to efficiently analyze mode characteristics and optimize grating designs for specific applications.