A Concise Tutorial for Analyzing Electromagnetic Degrees of Freedom for Continuous-Aperture Array (CAPA) Systems
Chongjun Ouyang, Boqun Zhao, Xingqi Zhang, and Yuanwei Liu
TL;DR
This paper provides a simplified model and analytical expression for the electromagnetic degrees of freedom in continuous-aperture array systems, highlighting their dependence on aperture size and distance.
Contribution
It introduces a simplified spatial model using Fresnel approximation and derives a closed-form expression for EM degrees of freedom in CAPA systems.
Findings
Number of DoFs proportional to aperture sizes
Number of DoFs inversely proportional to distance
Numerical results validate the analytical model
Abstract
A concise tutorial is provided for analysis of the spatial degrees of freedom (DoFs) in continuous-aperture array (CAPA)-based continuous electromagnetic (EM) channels. First, a simplified spatial model is introduced using the Fresnel approximation. By leveraging this model and Landau's theorem, a closed-form expression for the spatial DoFs is derived. The results show that the number of DoFs is proportional to the transmit and receive aperture sizes and inversely proportional to the propagation distance. Numerical results are presented to illustrate the properties of EM DoFs in CAPA-based channels.
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Taxonomy
TopicsAntenna Design and Optimization · Radio Astronomy Observations and Technology · Advanced SAR Imaging Techniques