Introducing a Mixed-Mode Matrix for Investigation of Wireless Communication Related to Orbital Angular Momentum

Woocheon Park, Lei Wang, Heinz-Dietrich Brüns, Dong Gun Kam, Christian Schuster

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


This paper introduces a mixed-mode matrix representation of scattering parameters that is suitable for the investigation of wireless communication based on orbital angular momentum (OAM). For this purpose, a unitary transformation matrix is defined, which contains the transmitted and received amplitudes as basis vectors corresponding to OAM-based communication between two antenna arrays. The mixed-mode matrix is then obtained from the corresponding similarity transformation of the standard scattering matrix available, e.g., from numerical simulations or measurements. The mixed-mode matrix allows better physical insight into OAM-based communication by clearly separating all modes and is more efficient than postprocessing of single-antenna results in a system simulator. Mode conversion/isolation and proper mode termination can be easily quantified. Also, it allows generalizing the interpretation of OAM-based communication by focusing on the property of a constant phase difference within each antenna array. The usefulness of this approach is demonstrated using method of moments (MoM) simulations of dipole radiators in various arrangements of a transmitting and a receiving array. Systematic parameter studies that reveal dependencies of OAM-based communication are possible by using the mixed-mode matrix. As an application, communication patterns are studied, in order to obtain the suitable position and relative orientation in space for good mode isolation or communication.
Original languageEnglish
Pages (from-to)1719-1728
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Issue number3
Early online date21 Dec 2018
Publication statusPublished - Mar 2019


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