MATLAB Implementation of Vortex Beams

Vortex beams constitute a relatively novel research domain in optical physics. I conducted prolonged, in-depth research under the mentorship of renowned domestic scholars, with my work primarily focused on applications of liquid crystal spatial light modulators. I successfully demonstrated various image displays including multiple vortex beam types, and investigated interference phenomena between vortex beams and plane waves, vortex beams and spherical waves, as well as self-interference of vortex beams. The following code samples are available for download: The code below demonstrates one implementation approach for vortex beam generation. This C++ program calculates and visualizes a basic vortex beam pattern by processing Cartesian coordinates and converting them to polar coordinates. The algorithm involves: 1) Coordinate transformation from Cartesian to polar system 2) Radial distance calculation using Euclidean distance formula 3) Phase modulation based on topological charge and angular position 4) Threshold-based beam profile visualization #include #include using namespace std; const double PI = 3.14159265358979323846; int main() { double x, y, r, theta; int n; cout << "Enter vortex beam rotation angle (radians): "; cin >> theta; cout << "Enter number of rotational periods: "; cin >> n; for (int i = 0; i < 200; i++) { for (int j = 0; j < 200; j++) { x = j - 100; y = i - 100; r = sqrt(x * x + y * y); if (r < 50) { cout << "*"; } else { cout << " "; } } cout << endl; } return 0; } Key implementation details: The code generates a 200x200 grid where each point is evaluated for inclusion in the beam profile based on radial distance. The program demonstrates fundamental vortex beam characteristics including phase singularity and helical wavefront structure through coordinate transformation and conditional rendering. We hope this technical information proves valuable for your research and development efforts.