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Electromagnetically Consistent Optimization Algorithms for the Global Design of RIS

M. W. Shabir, M. Di Renzo, A. Zappone, M. Debbah

Abstract

The reconfigurable intelligent surface is an emerging technology for wireless communications. We model it as an inhomogeneous boundary of surface impedance, and consider various optimization problems that offer different tradeoffs in terms of performance and implementation complexity. The considered non-convex optimization problems are reformulated as a sequence of approximating linear quadratically constrained or semidefinite programs, which are proved to have a polynomial complexity and to converge monotonically in the objective value.

Electromagnetically Consistent Optimization Algorithms for the Global Design of RIS

Abstract

The reconfigurable intelligent surface is an emerging technology for wireless communications. We model it as an inhomogeneous boundary of surface impedance, and consider various optimization problems that offer different tradeoffs in terms of performance and implementation complexity. The considered non-convex optimization problems are reformulated as a sequence of approximating linear quadratically constrained or semidefinite programs, which are proved to have a polynomial complexity and to converge monotonically in the objective value.
Paper Structure (16 sections, 23 equations, 1 figure)

This paper contains 16 sections, 23 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Electromagnetic Model
  3. RIS Model
  4. Electromagnetic Consistency
  5. Performance Metrics
  6. Optimization: Surface Net Power Flow
  7. Global Design -- Helmholtz Constraint
  8. Global Design -- Reradiation Mask
  9. Approximated Global Design -- Reactive Impedance
  10. Convergence and Complexity
  11. Optimization: Power Flux
  12. Global Design -- Reradiation Mask
  13. Approximated Global Design -- Reactive Impedance
  14. Convergence and Complexity
  15. Numerical Results
  16. ...and 1 more sections

Figures (1)

  • Figure 1: Fig. 1: Reradiation pattern of the RIS: (left) S-RI-a and (right) P-RI