Towards Photonic Band Diagram Generation with Transformer-Latent Diffusion Models

Fuente: arXiv
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Main Authors: Delchevalerie, Valentin, Roy, Nicolas, Bougaham, Arnaud, Mayer, Alexandre, Frénay, Benoît, Lobet, Michaël
Format: Preprint
Published: 2025
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author Delchevalerie, Valentin
Roy, Nicolas
Bougaham, Arnaud
Mayer, Alexandre
Frénay, Benoît
Lobet, Michaël
author_facet Delchevalerie, Valentin
Roy, Nicolas
Bougaham, Arnaud
Mayer, Alexandre
Frénay, Benoît
Lobet, Michaël
contents Photonic crystals enable fine control over light propagation at the nanoscale, and thus play a central role in the development of photonic and quantum technologies. Photonic band diagrams (BDs) are a key tool to investigate light propagation into such inhomogeneous structured materials. However, computing BDs requires solving Maxwell's equations across many configurations, making it numerically expensive, especially when embedded in optimization loops for inverse design techniques, for example. To address this challenge, we introduce the first approach for BD generation based on diffusion models, with the capacity to later generalize and scale to arbitrary three dimensional structures. Our method couples a transformer encoder, which extracts contextual embeddings from the input structure, with a latent diffusion model to generate the corresponding BD. In addition, we provide insights into why transformers and diffusion models are well suited to capture the complex interference and scattering phenomena inherent to photonics, paving the way for new surrogate modeling strategies in this domain.
format Preprint
id arxiv_https___arxiv_org_abs_2510_01749
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Towards Photonic Band Diagram Generation with Transformer-Latent Diffusion Models
Delchevalerie, Valentin
Roy, Nicolas
Bougaham, Arnaud
Mayer, Alexandre
Frénay, Benoît
Lobet, Michaël
Optics
Computer Vision and Pattern Recognition
Photonic crystals enable fine control over light propagation at the nanoscale, and thus play a central role in the development of photonic and quantum technologies. Photonic band diagrams (BDs) are a key tool to investigate light propagation into such inhomogeneous structured materials. However, computing BDs requires solving Maxwell's equations across many configurations, making it numerically expensive, especially when embedded in optimization loops for inverse design techniques, for example. To address this challenge, we introduce the first approach for BD generation based on diffusion models, with the capacity to later generalize and scale to arbitrary three dimensional structures. Our method couples a transformer encoder, which extracts contextual embeddings from the input structure, with a latent diffusion model to generate the corresponding BD. In addition, we provide insights into why transformers and diffusion models are well suited to capture the complex interference and scattering phenomena inherent to photonics, paving the way for new surrogate modeling strategies in this domain.
title Towards Photonic Band Diagram Generation with Transformer-Latent Diffusion Models
topic Optics
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2510.01749