Mr. Martin Veresko Profile

Martin Veresko

at Clarkson Univ

SPIE Involvement:

Author

Publications (1)

This will count as one of your downloads.

You will have access to both the presentation and article (if available).

DOWNLOAD NOW

This content is available for download via your institution's subscription. To access this item, please sign in to your personal account.

Email or Username Forgot your username?

Password Forgot your password?

Show

Keep me signed in

No SPIE account? Create an account

Proceedings Article | 1 October 2024 Presentation + Paper

Fast simulations with high accuracy for photonic crystals and quantum nanostructures enabled by a projection-based learning methodology

Martin Veresko, Albert W. Wang, Ming-Cheng Cheng

Proceedings Volume 13129, 131290M (2024) https://doi.org/10.1117/12.3028208

KEYWORDS: Photonic crystals, Simulations, Photonic nanostructures, Wave equations

Read Abstract +

A fast and accurate simulation methodology enabled by a physics-informed learning method, using Proper Orthogonal Decomposition (POD) and Galerkin projection, is demonstrated for photonic crystals and periodic quantum nanostructure. POD is a projection-based method with its basis functions trained by solution data collected from Direct Numerical Simulations (DNSs) of the wave equation, which offers the best least squares fit to the solution data. The Galerkin projection of the wave equation onto POD basis functions is then performed to close the model. This projection also incorporates physical principles during POD-Galerkin simulation guided by the wave equation, which thus enables the extrapolation capability beyond the training conditions. Such a capability is difficult to achieve using neural-network-based methods for physics simulation, where no physical principle is enforced during simulation. Applications of the POD-Galerkin methodology to a 2D photonic lattice and a 2D periodic quantum nanostructure demonstrate a computing speedup near two orders of magnitude with high accuracy, compared to DNS, if the wave solution and band structure are both needed. If only the band structure is of interest, a four-order improvement in computational efficiency can be achieved.

My Library

You currently do not have any folders to save your paper to! Create a new folder below.

Folder Name

Folder Description

View contact details

UPDATE YOUR PROFILE

Is this your profile? Update it now.

Sign into your SPIE.org account

Don’t have a profile and want one?

Create an account on SPIE.org

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

ORGANIZATIONAL
Sign in with credentials provided by your organization.

Organizational Username

Organizational Password

Show/Hide Password

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members:

Non-members: ADD TO CART

Keywords/Phrases

Search In:

Publication Years