Algorithm for the Helmholtz equation within bounded polygonal volumes

Haider Zia

doi:10.1364/FREEFORM.2021.RW1A.2

Algorithm for the Helmholtz equation within bounded polygonal volumes

Haider Zia^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We present a surface integral algorithm for optical fields within a volume enclosed by a convex polygonal surface. The algorithm, utilizing fast fourier-transforms, reduces the dimensional scaling, inherent as problem in FDTD and FEM methods.

Original language	English
Title of host publication	Computational Optical Sensing and Imaging, COSI 2021
Publisher	The Optical Society
ISBN (Electronic)	978-1-55752-820-9
ISBN (Print)	978-1-943580-88-0
DOIs	https://doi.org/10.1364/FREEFORM.2021.RW1A.2
Publication status	Published - 2021
Event	OSA Imaging and Applied Optics Congress 2021 - Virtual, Online, United States Duration: 19 Jul 2021 → 23 Jul 2021

Conference

Conference	OSA Imaging and Applied Optics Congress 2021
Country/Territory	United States
City	Virtual, Online
Period	19/07/21 → 23/07/21

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10.1364/FREEFORM.2021.RW1A.2

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title = "Algorithm for the Helmholtz equation within bounded polygonal volumes",

abstract = "We present a surface integral algorithm for optical fields within a volume enclosed by a convex polygonal surface. The algorithm, utilizing fast fourier-transforms, reduces the dimensional scaling, inherent as problem in FDTD and FEM methods.",

author = "Haider Zia",

note = "Publisher Copyright: {\textcopyright} OSA 2021, {\textcopyright} 2021 The Author(s); OSA Imaging and Applied Optics Congress 2021 ; Conference date: 19-07-2021 Through 23-07-2021",

year = "2021",

doi = "10.1364/FREEFORM.2021.RW1A.2",

language = "English",

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publisher = "The Optical Society",

address = "United States",

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T1 - Algorithm for the Helmholtz equation within bounded polygonal volumes

AU - Zia, Haider

PY - 2021

Y1 - 2021

N2 - We present a surface integral algorithm for optical fields within a volume enclosed by a convex polygonal surface. The algorithm, utilizing fast fourier-transforms, reduces the dimensional scaling, inherent as problem in FDTD and FEM methods.

AB - We present a surface integral algorithm for optical fields within a volume enclosed by a convex polygonal surface. The algorithm, utilizing fast fourier-transforms, reduces the dimensional scaling, inherent as problem in FDTD and FEM methods.

UR - http://www.scopus.com/inward/record.url?scp=85119492176&partnerID=8YFLogxK

U2 - 10.1364/FREEFORM.2021.RW1A.2

DO - 10.1364/FREEFORM.2021.RW1A.2

M3 - Conference contribution

AN - SCOPUS:85119492176

SN - 978-1-943580-88-0

BT - Computational Optical Sensing and Imaging, COSI 2021

PB - The Optical Society

T2 - OSA Imaging and Applied Optics Congress 2021

Y2 - 19 July 2021 through 23 July 2021

ER -

Algorithm for the Helmholtz equation within bounded polygonal volumes

Abstract

Conference

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