Calculation of Slot Radiation Fields Using Geometric Theory of Diffraction

In the field of electromagnetics, the Geometric Theory of Diffraction (GTD) is an efficient method for calculating electromagnetic wave scattering on complex geometric structures. Particularly suitable for analyzing radiation field characteristics of slot structures, this method effectively handles electromagnetic phenomena such as edge diffraction and surface reflection.

The MATLAB environment provides an ideal numerical computation platform for implementing GTD. Its powerful matrix operation capabilities and rich visualization tools enable efficient implementation of GTD algorithms and intuitive display of calculation results. When computing slot radiation fields, the process typically begins with establishing an appropriate slot geometric model, followed by applying GTD principles for field strength calculations.

The implementation process first requires determining the slot's geometric parameters and incident wave characteristics. By discretizing the slot edges into multiple diffraction points, the diffraction field contribution of each point is calculated separately. All diffraction field contributions are then superimposed to obtain the final radiation field distribution. To improve calculation accuracy, higher-order diffraction effects and proximity effects must also be considered.

In MATLAB implementation, vectorized operations can accelerate the computation process, while parallel computing handles large-scale problems. Results can be plotted as radiation patterns or field strength distribution diagrams, visually demonstrating the slot's radiation characteristics. This approach supports vectorization through MATLAB's array operations and may utilize functions like parfor for parallel processing of diffraction point calculations.

This method is not only applicable to simple rectangular slots but can also be extended to aperture structures of arbitrary shapes. By adjusting parameters, researchers can study slot radiation characteristics under different frequencies and polarization modes, providing a powerful tool for antenna design and electromagnetic compatibility analysis. The implementation typically involves creating parameterized geometric models and implementing diffraction coefficient calculations using custom MATLAB functions.