Abstract: Broadband Green's function computing technique that employs low wavenumber extraction, obtains fast frequency independent modal band solutions and achieves fast convergence of modal expansions, is used to model and design electromagnetic wave behavior of signals in artificial materials with periodic structures, including metamaterials, photonic crystals, and phononic crystals, which are used for smart microwave devices, photonic devices, and acoustic devices. The Broadband Green's function is a general response function for artificial materials and is used to model bandgaps, bandpasses, impurities, defects, displacements of scatterers, and to formulate integral equations for periodic scatters in a finite volume. Designs of metamaterials, photonic crystals, and phononic crystals enable controlling the waves through bandpasses, bandgaps, surface states, polarizations, defects, absorption, enhancement, refraction, substrates, and guidance.

Abstract: A broadband Green's function computation technique that employs low wavenumber extraction on a modal summation is used to model the waveguide behavior of electronic components, systems, and interconnects on a printed circuit board. Use of the broadband technique permits discretizing the surface of the printed circuit board across a wide range of frequencies all at once. The broadband Green's function is also extended to via waveguides on circuit boards and power/ground plane waveguides of arbitrary shape. Such a method can analyze a given circuit board geometry over a broad frequency range several hundred times faster than is otherwise possible with existing commercial analysis tools. The present method is useful in electronic design automation for analyzing signal integrity and power integrity, reducing electromagnetic interference and ensuring electromagnetic compatibility.

Abstract: A broadband Green's function computation technique that employs low wavenumber extraction on a modal summation is used to model the waveguide behavior of electronic components, systems, and interconnects on a printed circuit board. Use of the broadband technique permits discretizing the surface of the printed circuit board across a wide range of frequencies all at once. The broadband Green's function is also extended to via waveguides on circuit boards and power/ground plane waveguides of arbitrary shape. Such a method can analyze a given circuit board geometry over a broad frequency range several hundred times faster than is otherwise possible with existing commercial analysis tools. The present method is useful in electronic design automation for analyzing signal integrity and power integrity, reducing electromagnetic interference and ensuring electromagnetic compatibility.

Abstract: Broadband Green's function computing technique that employs low wavenumber extraction, obtains fast frequency independent modal band solutions and achieves fast convergence of modal expansions, is used to model and design electromagnetic wave behavior of signals in artificial materials with periodic structures, including metamaterials, photonic crystals, and phononic crystals, which are used for smart microwave devices, photonic devices, and acoustic devices. The Broadband Green's function is a general response function for artificial materials and is used to model bandgaps, bandpasses, impurities, defects, displacements of scatterers, and to formulate integral equations for periodic scatters in a finite volume. Designs of metamaterials, photonic crystals, and phononic crystals enable controlling the waves through bandpasses, bandgaps, surface states, polarizations, defects, absorption, enhancement, refraction, substrates, and guidance.

Abstract: A broadband Green's function computation technique that employs low wavenumber extraction on a modal summation is used to model the waveguide behavior of electronic components, systems, and interconnects on a printed circuit board. Use of the broadband technique permits discretizing the surface of the printed circuit board across a wide range of frequencies all at once. The broadband Green's function is also extended to via waveguides on circuit boards and power/ground plane waveguides of arbitrary shape. Such a method can analyze a given circuit board geometry over a broad frequency range several hundred times faster than is otherwise possible with existing commercial analysis tools. The present method is useful in electronic design automation for analyzing signal integrity and power integrity, reducing electromagnetic interference and ensuring electromagnetic compatibility.

Abstract: A broadband Green's function computation technique that employs low wavenumber extraction on a modal summation is used to model the waveguide behavior of electronic components, systems, and interconnects on a printed circuit board. Use of the broadband technique permits discretizing the surface of the printed circuit board across a wide range of frequencies all at once. The broadband Green's function is also extended to via waveguides on circuit boards and power/ground plane waveguides of arbitrary shape. Such a method can analyze a given circuit board geometry over a broad frequency range several hundred times faster than is otherwise possible with existing commercial analysis tools. The present method is useful in electronic design automation for analyzing signal integrity and power integrity, reducing electromagnetic interference and ensuring electromagnetic compatibility.