Pseudopotentials: A Simplified Model for Certain Types of Array Elements

The results obtained by modeling an infinite linear array of electrically short dipoles by an array of pseudopotentials (the pseudopotential is a quantum-mechanical analog of the dipole) can be used for the analysis of finite linear dipole arrays. This idea is utilized to investigate properties of finite arrays such as resonances, grating lobes, and end effects. For a wide range of parameter values, it is found that the pseudopotentials can quantitatively describe all aforementioned properties of the actual finite array. Certain extensions to waveguide arrays are discussed.