Broadband Green's Function for PCB Waveguide Simulation

The patent segments the broadband frequency range into multiple narrow frequency bands. For each band, a separate Green's function is computed at a specific wavenumber. This segmentation allows the complex broadband problem to be broken down into manageable narrowband sub-problems that can be solved independently and then combined, significantly reducing the overall computational burden while maintaining accuracy.

The patent performs preliminary computation of the Green's function at a single low wavenumber that represents the entire broadband range. This pre-computed Green's function serves as a foundation for deriving solutions across the full frequency spectrum. By performing this computation once rather than repeatedly across all frequencies, the method achieves substantial computational time savings while preserving simulation accuracy.

The patent creates a universal Green's function solution at a representative low wavenumber that can serve multiple frequency points across the broadband range. Instead of computing separate solutions for each frequency, a single universal computation at the low wavenumber provides the foundation for deriving results across the entire frequency spectrum, making the method highly efficient for fast CAD applications.

The patent changes the approach from computing at multiple frequency parameters to computing at a single representative wavenumber parameter. By transforming the problem from frequency-domain multiple computations to a wavenumber-domain single computation followed by spectral transformation, the method achieves both broadband accuracy and computational efficiency suitable for fast CAD.