Capacity Based Design of Slot Array Antennas

2025-06-21

AI Summary

To address the limitation of conventional deterministic antenna design—based on Maxwell’s equations—in simultaneously optimizing system-level communication performance, this paper pioneers the integration of Shannon information theory into slotted waveguide array design, establishing a statistical electromagnetic model optimized for channel capacity. Methodologically, the approach jointly incorporates signal-to-noise ratio analysis, power allocation optimization, and spectral-domain magnetic current modeling; it employs a fast spectral algorithm to efficiently compute magnetic current distributions and impedance matrices, validated via full-wave electromagnetic simulation. Key contributions include: (i) introducing a “capacity-driven” paradigm for array design; (ii) achieving high-accuracy impedance computation—with errors under 3% relative to full-wave simulation; and (iii) significantly improving computational efficiency, yielding speedups exceeding 10×. This framework establishes a scalable methodological foundation for the convergence of information theory and antenna engineering.

Technology Category

• Machine Learning: Optimization
• Search and Optimization: Mixed Discrete/Continuous Search
• Planning, Routing, and Scheduling: Optimization of Spatio-temporal Systems

Application Category

• Systems and Infrastructure for Web, Mobile and WoT: Web performance, measurement, and characterization
• Graph Algorithms and Modeling for the Web: Algorithms and analysis for incomplete, noisy, or partially observed Web-related graphs
• Economics, Online Markets and Human Computation: Incentives in network design for Web infrastructures and ecosystems

Abstract

Historically, the design of antenna arrays has evolved separately from Shannon theory. Shannon theory adopts a probabilistic approach in the design of communication systems, while antenna design approaches have relied on deterministic Maxwell theory alone. In this paper, we introduce a new approach to the design of antenna arrays based on information theoretic metrics. To this end, we develop a statistical model suitable for the numerical optimization of antenna systems. The model is utilized to obtain the signal-to-noise ratio (SNR), find the optimal power allocation scheme, and establish the associated Shannon capacity. We demonstrate the utility of the new approach on a connected array of slot antennas. To find the impedance matrix of the slot array, we further develop a fast numerical technique based on the analytical form of the spectrum of magnetic current. The utilized spectral approach, albeit its simplicity, shows good match compared with full wave electromagnetic simulation.

Problem

• Integrate Shannon theory into antenna array design
• Develop statistical model for antenna optimization
• Fast numerical technique for slot array impedance

Innovation

• Combines Shannon theory with antenna design
• Uses statistical model for SNR optimization
• Fast spectral method for impedance calculation