Abstract

Full-wave electromagnetic (EM) simulation enables accurate patch-antenna analysis but is computationally expensive for large-scale forward prediction and inverse design. We present a mesh-native, physics-augmented graph-learning framework that treats radiation-pattern prediction as signal reconstruction on an irregular surface mesh. For the forward problem, a GPS graph transformer is trained with Physics-Augmented Intermediate Supervision (PAIS), an auxiliary node-level objective that predicts complex surface currents, the physical intermediate linking geometry to radiation. PAIS improves multiple GNN backbones at no inference-time cost, while shuffled-current and non-physical controls show the gain comes from physical correspondence. Direction-conditioned decoding and a differentiable radiation-integral consistency loss further exploit this structure. On an 80,000-sample CST benchmark, GPS+PAIS reaches MSE 0.17 / PSNR 19.67, generalizes to a PCA split, and transfers zero-shot to canonical patches. For inverse design, surrogate-filtered diffusion beats nearest-neighbor retrieval by 32% relative MSE.

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Open access
Green open access

Cite this article

APA 7

Epstein, A., Nehemia, S., Suchowski, H., & Wolf, L. (2026). Physics-Augmented Graph Transformers for Patch-Antenna Forward and Inverse Design. https://omanscience.com/en/articles/physics-augmented-graph-transformers-for-patch-antenna-forward-and-inverse-design

MLA 9

Epstein, Avi, et al. "Physics-Augmented Graph Transformers for Patch-Antenna Forward and Inverse Design." https://omanscience.com/en/articles/physics-augmented-graph-transformers-for-patch-antenna-forward-and-inverse-design.

Chicago (author–date)

Epstein, Avi, Snir Nehemia, Haim Suchowski, and Lior Wolf. 2026. "Physics-Augmented Graph Transformers for Patch-Antenna Forward and Inverse Design." https://omanscience.com/en/articles/physics-augmented-graph-transformers-for-patch-antenna-forward-and-inverse-design.

Harvard

Epstein, A., Nehemia, S., Suchowski, H. and Wolf, L. (2026) 'Physics-Augmented Graph Transformers for Patch-Antenna Forward and Inverse Design', Available at: https://omanscience.com/en/articles/physics-augmented-graph-transformers-for-patch-antenna-forward-and-inverse-design.

Vancouver

Epstein A, Nehemia S, Suchowski H, Wolf L. Physics-Augmented Graph Transformers for Patch-Antenna Forward and Inverse Design. https://omanscience.com/en/articles/physics-augmented-graph-transformers-for-patch-antenna-forward-and-inverse-design

IEEE

A. Epstein, S. Nehemia, H. Suchowski, and L. Wolf, "Physics-Augmented Graph Transformers for Patch-Antenna Forward and Inverse Design," https://omanscience.com/en/articles/physics-augmented-graph-transformers-for-patch-antenna-forward-and-inverse-design.