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Heuristic methods and performance bounds for photonic design.

Guillermo Angeris, Jelena Vučković, Stephen Boyd

|March 17, 2021

Summary

This summary is machine-generated.

Scientists use heuristic methods to optimize photonic devices, achieving near-optimal designs. Algorithmic performance bounds confirm these designs are practically globally optimal, guiding future photonic engineering.

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Area of Science:

Photonics
Computational Electromagnetics
Materials Science

Background:

Photonic design involves optimizing physical parameters for desired device behavior.
Many photonic design problems are computationally difficult mathematical optimization problems.
Heuristic methods offer approximate solutions, often outperforming traditional designs.

Purpose of the Study:

To address the question of how much better heuristic designs can be.
To introduce and unify algorithmic performance bounds for photonic design.
To evaluate the optimality of heuristic methods in photonic design.

Main Methods:

Developing and applying algorithmic performance bounds.
Utilizing heuristic optimization methods.
Illustrating methods with two specific photonic design examples.

Main Results:

Heuristic designs were found to be nearly optimal in practice.
Performance bounds validated the high quality of heuristic solutions.
Algorithmic bounds provide a benchmark for design performance.

Conclusions:

Heuristic methods, when guided by performance bounds, yield practically globally optimal photonic designs.
Algorithmic performance bounds are crucial for assessing the limits of photonic design.
This work unifies existing approaches and offers generalizations for performance bound calculations.