Physics-Informed Mixed Integer Programming Methods for Optimal Patch Antennas
Abstract
Antennas come in various shapes and sizes, as their performance characteristics are very much dependent on their exact shape. Coming up with a shape that matches desired design characteristics has, up until this moment, been largely the domain of metaheuristics and local optimization methods. While these methods are convenient, they generally provide no performance guarantees and rarely allow to enforce hard design constraints. In this paper, we show how Mixed-Integer Programming (MIP) can be used to optimize the shape of so-called patch antennas. The methodological focus is to show how underlying laws of physics allow to derive effective bounds on variables as well as new cutting planes. These greatly improve the effectiveness of the underlying basic MIP model, enabling the automated design of practically relevant patch antennas for a wide variety of applications.
Related
- Integer linear programming based methods for computing the maximum chordal subgraph of an arbitrary graph
- Fast Learning Rates for Physics-Informed Kernel Methods
- Hidden Convexity via Symmetric Displacement Covers: Mixed-Integer Quadratic Programming and Integer Cubic Programming in Fixed Dimension
- Learning to Solve Mixed-Integer Nonlinear Programming with Neural Networks and Sequential Quadratic Programming Refinement
- Accelerated Benders decomposition for bi-objective mixed integer programming
BibTeX
@misc{hoeksma2026physicsinformed,
title = {{Physics-Informed Mixed Integer Programming Methods for Optimal Patch Antennas}},
author = {Ruben Hoeksma and Jesse van Rhijn and Marc Uetz and Wick Wijnholds},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28879},
eprint = {2610.28879},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28879},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Physics-Informed Mixed Integer Programming Methods for Optimal Patch Antennas
AU - Ruben Hoeksma
AU - Jesse van Rhijn
AU - Marc Uetz
AU - Wick Wijnholds
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28879
UR - https://arxiv.org/abs/2610.28879
AB - Antennas come in various shapes and sizes, as their performance characteristics are very much dependent on their exact shape. Coming up with a shape that matches desired design characteristics has, up until this moment, been largely the domain of metaheuristics and local optimization methods. While these methods are convenient, they generally provide no performance guarantees and rarely allow to enforce hard design constraints. In this paper, we show how Mixed-Integer Programming (MIP) can be used to optimize the shape of so-called patch antennas. The methodological focus is to show how underlying laws of physics allow to derive effective bounds on variables as well as new cutting planes. These greatly improve the effectiveness of the underlying basic MIP model, enabling the automated design of practically relevant patch antennas for a wide variety of applications.
ER -