K-Factorization of Maxwell's Equations: Waveguide Modes, Phased Arrays, the Chu Limit, and Barrier Universality in Electromagnetic Systems

Key Points

• This research aims to apply K-Factorization to Maxwell's equations and derive insights into waveguide modes and phased array behaviors.
• Applied K-Factorization to derive waveguide mode structure and phased array behavior from Maxwell's equations.
• Analyzed the Chu antenna limit as it relates to shape-scale separation.
• Examined barrier universality on the Eckert manifold in the context of electromagnetic systems.
• Identified distinct waveguide modes produced via K-Factorization.
• Showed how phased arrays reveal behavior consistent with shape-scale separation.
• Discussed the implications of the Chu limit in the context of electromagnetic theory.