Conference Agenda

Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).

Please note that all times are shown in the time zone of the conference. The current conference time is: 29th Nov 2022, 05:35:32am CET

 
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Session Overview
Session
MS 6b: high-order spectral methods for plasmonics and optics
Time:
Thursday, 15/July/2021:
4:00pm - 6:00pm

Session Chair: Youngjoon Hong
Session Chair: David Nicholls
Virtual location: Zoom 4


Session Abstract

The scattering of electromagnetic waves by irregular obstacles, periodic

gratings, and other geometrically complex structures arises in a wide array of

scientific and engineering applications. In fact, these models are at the heart

of everyday technologies such as seismic imaging, underwater acoustics, and

biological sensing. Clearly, there is a compelling need for algorithm design,

rigorous analysis, and mathematical model development from applied

mathematicians and computational scientists. Despite significant successes

along these lines, some very important challenges remain. While low-order

numerical methods play a significant role in the simulation of these devices,

High Order Spectral approaches are becoming increasingly important to

theoreticians and practitioners alike due to their superior accuracy and

reduced cost. Interestingly, many paths have been taken to achieve high

accuracy in this setting including Spectral, Integral Equation, Spectral

Element, hp Continuous and Discontinuous Galerkin, and High-Order Perturbation

of Surfaces methods. The main purpose of this minisymposium is to bring together

experts in all of these approaches with the goal of not only communicating the

state-of-the-art in these fields, but also identifying areas of future

collaboration.


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Presentations
4:00pm - 4:30pm

Periodic corrugations to increase efficiency of thermophotovoltaic emitting structures

Youngjoon Hong

San Diego State University, United States of America

In this talk, we explore the question of designing insulator/metal thermovoltaic structures with periodically corrugated interfaces that give optimal performance based on the metric of useful power density. Using a Monte Carlo approach in a robust, rapid, and high-accuracy numerical simulation strategy, we have identified such interface shapes. We searched among the class of sinusoids and found that a flat-interface configuration could be significantly improved in transverse magnetic polarization.



4:30pm - 5:00pm

Transformation Optics and RCWA for Photonics

Benjamin Civiletti1, Akhlesh Lakhtakia2, Peter Monk1

1University of Delaware, United States of America; 2Penn State University, United States of America

We provide an error analysis of a spectral method for computing the solution of the Helmholtz equation in a periodic domain. In particular we consider a grating that is the graph of a smooth function. The method, which is a version of the well-known C-method, first applies a geometric transform to obtain a flat interface (with anisotropic material parameters) and then uses the RCWA method to discretize the problem. We prove error estimates and give numerical results. An advantage of this type of method is that it generalizes to the 3D Maxwell system.



 
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