One-Shot Beam Tracking for Stacked Intelligent Metasurfaces-Assisted LEO Broadcasting
Abstract
This letter develops a physics-informed one-shot beam tracking method for stacked intelligent metasurface (SIM)-enabled low-Earth-orbit (LEO) links with K users and an L-layer SIM with N meta-atoms per layer. The predictable orbital motion is propagated through the line-of-sight (LoS) geometry to forecast the finite-interval variation of the user signal-to-noise ratio (SNR) profile, and an analytical multilayer Jacobian relates this variation to the LN SIM phase coefficients. Beam tracking is formulated as normalized SNR-profile preservation and solved through a single regularized Gauss--Newton correction that requires one Jacobian evaluation and a K× K linear solve, thereby avoiding iterative reoptimization. A tracking-error bound separates the regularization residual from the nonlinear Taylor remainder and establishes a second-order local error under a full-row-rank Jacobian. Numerical results show that the proposed method retains approximately 94% and 92% of the iterative-reoptimization rate for L=2 and L=4, respectively, while running about 350× and 260× faster at N=225, and confirm the predicted second-order residual error behavior.
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BibTeX
@misc{sheemar2026oneshot,
title = {{One-Shot Beam Tracking for Stacked Intelligent Metasurfaces-Assisted LEO Broadcasting}},
author = {Chandan Kumar Sheemar and Giovanni Iacovelli and Sourabh Solanki and Wali Ullah Khan and Symeon Chatzinotas},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05520},
eprint = {2610.05520},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05520},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - One-Shot Beam Tracking for Stacked Intelligent Metasurfaces-Assisted LEO Broadcasting
AU - Chandan Kumar Sheemar
AU - Giovanni Iacovelli
AU - Sourabh Solanki
AU - Wali Ullah Khan
AU - Symeon Chatzinotas
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.05520
UR - https://arxiv.org/abs/2610.05520
AB - This letter develops a physics-informed one-shot beam tracking method for stacked intelligent metasurface (SIM)-enabled low-Earth-orbit (LEO) links with K users and an L-layer SIM with N meta-atoms per layer. The predictable orbital motion is propagated through the line-of-sight (LoS) geometry to forecast the finite-interval variation of the user signal-to-noise ratio (SNR) profile, and an analytical multilayer Jacobian relates this variation to the LN SIM phase coefficients. Beam tracking is formulated as normalized SNR-profile preservation and solved through a single regularized Gauss--Newton correction that requires one Jacobian evaluation and a K× K linear solve, thereby avoiding iterative reoptimization. A tracking-error bound separates the regularization residual from the nonlinear Taylor remainder and establishes a second-order local error under a full-row-rank Jacobian. Numerical results show that the proposed method retains approximately 94% and 92% of the iterative-reoptimization rate for L=2 and L=4, respectively, while running about 350× and 260× faster at N=225, and confirm the predicted second-order residual error behavior.
ER -