Finite difference frequency domain method: Maxwell equation solutions for optical engineering applications

Juuso Olkkonen; Kari Kataja; Janne Aikio; Dennis G. Howe

doi:10.1364/FIO.2003.MT92

Finite difference frequency domain method: Maxwell equation solutions for optical engineering applications

Juuso Olkkonen, Kari Kataja, Janne Aikio, Dennis G. Howe

University of Arizona

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific

Abstract

Scalar diffraction theory is not applicable to electromagnetic problems in which structural (light scattering) elements have size comparable to the incident light wavelength. Such problems are usually handled by finding rigorous solutions of Maxwell’s equations. During the last decade, the Finite Difference Time Domain (FDTD) method, which provides a time-evolving simulation of the scattered light field (by solving Maxwell’s equations), has become a popular tool for treating optical problems involving micro- and nano-structures. And, even though the FDTD is applicable to problems involving wideband optical sources, it is extensively used to obtain quiescent solutions under monochromatic illumination. In the latter case, steady state solutions to Maxwell’s equations can also be found via the Finite Difference Frequency Domain (FD²) method. FD² has some specific advantages compared to FDTD. FDTD and FD²are compared in the sequel.

Original language	English
Title of host publication	Frontiers in Optics 2003
Publisher	Optica Publishing Group
ISBN (Print)	1-55752-759-8
DOIs	https://doi.org/10.1364/FIO.2003.MT92
Publication status	Published - 2003
MoE publication type	B3 Non-refereed article in conference proceedings
Event	Frontiers in Optics: 87th OSA annual meeting, OSA 2003 - Tucson, United States Duration: 5 Oct 2003 → 9 Oct 2003

Conference

Conference	Frontiers in Optics: 87th OSA annual meeting, OSA 2003
Country/Territory	United States
City	Tucson
Period	5/10/03 → 9/10/03

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@inproceedings{6a99a23b8e5346baa152f589db0da46f,

title = "Finite difference frequency domain method: Maxwell equation solutions for optical engineering applications",

abstract = "Scalar diffraction theory is not applicable to electromagnetic problems in which structural (light scattering) elements have size comparable to the incident light wavelength. Such problems are usually handled by finding rigorous solutions of Maxwell{\textquoteright}s equations. During the last decade, the Finite Difference Time Domain (FDTD) method, which provides a time-evolving simulation of the scattered light field (by solving Maxwell{\textquoteright}s equations), has become a popular tool for treating optical problems involving micro- and nano-structures. And, even though the FDTD is applicable to problems involving wideband optical sources, it is extensively used to obtain quiescent solutions under monochromatic illumination. In the latter case, steady state solutions to Maxwell{\textquoteright}s equations can also be found via the Finite Difference Frequency Domain (FD2) method. FD2 has some specific advantages compared to FDTD. FDTD and FD2 are compared in the sequel.",

author = "Juuso Olkkonen and Kari Kataja and Janne Aikio and Howe, \{Dennis G.\}",

year = "2003",

doi = "10.1364/FIO.2003.MT92",

language = "English",

isbn = "1-55752-759-8",

booktitle = "Frontiers in Optics 2003",

publisher = "Optica Publishing Group",

address = "United States",

note = "Frontiers in Optics: 87th OSA annual meeting, OSA 2003 ; Conference date: 05-10-2003 Through 09-10-2003",

}

TY - GEN

T1 - Finite difference frequency domain method

T2 - Frontiers in Optics: 87th OSA annual meeting, OSA 2003

AU - Olkkonen, Juuso

AU - Kataja, Kari

AU - Aikio, Janne

AU - Howe, Dennis G.

PY - 2003

Y1 - 2003

N2 - Scalar diffraction theory is not applicable to electromagnetic problems in which structural (light scattering) elements have size comparable to the incident light wavelength. Such problems are usually handled by finding rigorous solutions of Maxwell’s equations. During the last decade, the Finite Difference Time Domain (FDTD) method, which provides a time-evolving simulation of the scattered light field (by solving Maxwell’s equations), has become a popular tool for treating optical problems involving micro- and nano-structures. And, even though the FDTD is applicable to problems involving wideband optical sources, it is extensively used to obtain quiescent solutions under monochromatic illumination. In the latter case, steady state solutions to Maxwell’s equations can also be found via the Finite Difference Frequency Domain (FD2) method. FD2 has some specific advantages compared to FDTD. FDTD and FD2 are compared in the sequel.

AB - Scalar diffraction theory is not applicable to electromagnetic problems in which structural (light scattering) elements have size comparable to the incident light wavelength. Such problems are usually handled by finding rigorous solutions of Maxwell’s equations. During the last decade, the Finite Difference Time Domain (FDTD) method, which provides a time-evolving simulation of the scattered light field (by solving Maxwell’s equations), has become a popular tool for treating optical problems involving micro- and nano-structures. And, even though the FDTD is applicable to problems involving wideband optical sources, it is extensively used to obtain quiescent solutions under monochromatic illumination. In the latter case, steady state solutions to Maxwell’s equations can also be found via the Finite Difference Frequency Domain (FD2) method. FD2 has some specific advantages compared to FDTD. FDTD and FD2 are compared in the sequel.

U2 - 10.1364/FIO.2003.MT92

DO - 10.1364/FIO.2003.MT92

M3 - Conference article in proceedings

SN - 1-55752-759-8

BT - Frontiers in Optics 2003

PB - Optica Publishing Group

Y2 - 5 October 2003 through 9 October 2003

ER -

Finite difference frequency domain method: Maxwell equation solutions for optical engineering applications

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