References & Further Reading
References
- T. J. Cui, M. Q. Qi, X. Wan, J. Zhao, and Q. Cheng, Coding metamaterials, digital metamaterials and programmable metamaterials, 2014
The founding paper of the digital-coding-metasurface concept. Introduces the 1-bit/2-bit coding representation of a programmable surface and sets the terminology.
- Q. Wu and R. Zhang, Beamforming Optimization for Wireless Network Aided by Intelligent Reflecting Surface With Discrete Phase Shifts, 2020
The definitive reference on discrete-phase RIS. Derives the $\text{sinc}^2(\pi/2^B)$ loss formula and proves near-optimality of nearest-level projection for coherent combining.
- S. Abeywickrama, R. Zhang, Q. Wu, and C. Yuen, Intelligent Reflecting Surface: Practical Phase Shift Model and Beamforming Optimization, 2020
Introduces the amplitude-phase coupling (APC) model based on fitting measured varactor-diode data. Quantifies the naive-vs-APC-aware optimization gap.
- R. J. Williams, P. Ramírez-Espinosa, E. de Carvalho, and T. L. Marzetta, Multiport Communication Theory for Reconfigurable Intelligent Surfaces, 2021
Treats the RIS as a multiport network with explicit mutual-impedance matrix. The starting point for the 'beyond-diagonal' RIS optimization of Chapter 10.
- W. Tang et al., Wireless Communications With Reconfigurable Intelligent Surface: Path Loss Modeling and Experimental Measurements, 2021
First experimental validation of the RIS cascaded-channel model with a 1-bit prototype. Measures and reports the 1-bit SNR loss and the $N^2$ coherent combining gain.
- M. Di Renzo et al., Smart Radio Environments Empowered by Reconfigurable Intelligent Surfaces: How It Works, State of Research, and the Road Ahead, 2020
Section III (hardware) is the most complete introduction to unit-cell design options. Section IV (modeling) treats the diagonal-model validity question in detail.
- D. M. Pozar, Microwave Engineering, Wiley, 4th ed., 2012
Chapters 2 and 3 on transmission lines, impedance matching, and S-parameters are the required background for the hardware models of this chapter.
- R. F. Harrington, Matrix methods for field problems, 1967
The foundational paper on the method of moments (MoM) for computing mutual-impedance matrices. Still the practical starting point for computing $\mathbf{Z}$ in a real array.
- Q. Wu, S. Zhang, B. Zheng, C. You, and R. Zhang, Intelligent Reflecting Surface-Aided Wireless Communications: A Tutorial, 2021
A tutorial survey of RIS algorithms and architectures. Good for placing this chapter's hardware focus in the context of the broader RIS design space.
- V. Arun and H. Balakrishnan, RFocus: Beamforming using thousands of passive antennas, 2020
The RFocus demonstrator at MIT — 3,200 passive 1-bit elements at 2.4 GHz. The benchmark 'empirical result' that all theoretical papers compare against.
- X. Yang et al., A programmable metasurface with dynamic polarization, scattering and focusing control, 2016
An earlier programmable metasurface prototype that predates the RIS-for-communications paradigm. Useful for understanding the physics-first perspective.
Further Reading
Resources for readers interested in digging deeper into the hardware or electromagnetic side.
Full-wave design of RIS unit cells
Pozar, Microwave Engineering, Chapters 3 and 14
The circuit-level analysis of grounded resonators, loaded stubs, and patch-antenna design — the engineering basis of every unit cell in this chapter.
Metasurface physics (generalized Snell's law)
Yu et al., 'Light propagation with phase discontinuities,' Science, 334:333–337, 2011
The physical-optics picture of metasurfaces — how phase-discontinuity profiles reflect waves in non-specular directions.
Practical RIS prototypes in the literature
ETSI GR RIS 003, 'Reconfigurable Intelligent Surfaces (RIS); Communication Models, Channel Models, Channel Estimation and Evaluation Methodology,' 2023
Industry-oriented overview of measured RIS characteristics. Ground-truth for realistic simulation parameters.
Mutual-coupling in communication arrays
Gupta and Ksienski, 'Effect of Mutual Coupling on the Performance of Adaptive Arrays,' IEEE Trans. AP, 1983
The classic pre-RIS treatment of coupling in adaptive arrays. Explains why compensation matrices work and when they don't.
Beyond-diagonal RIS
M. Nerini and B. Clerckx, 'Pareto Frontier for the Performance-Complexity Trade-off in Beyond Diagonal Reconfigurable Intelligent Surfaces,' IEEE TWC, 2023
Treats the RIS as a full $\boldsymbol{\Phi}_{\text{full}}$ matrix and asks what gains come from exploiting off-diagonal impedance. Sets up Chapter 10 of this book.