A Hybrid Spectral/FDTD Method for the Electromagnetic Analysis of Guided Waves in Periodic Structures

A. C. Cangellaris; M. Gribbons

doi:10.1109/75.242266

A Hybrid Spectral/FDTD Method for the Electromagnetic Analysis of Guided Waves in Periodic Structures

Research output: Contribution to journal › Article › peer-review

Abstract

A hybrid spectral/FDTD (finite-difference time- domain) method is introduced for the analysis of electromagnetic wave propagation in anisotropic, inhomogeneous periodic structures. Discrete Fourier series representations for the field components are used for the spectral calculation of spatial derivatives along the axes of periodicity. Thus, the computational domain is restricted to a single period. Maxwell’s system is then solved as an initial value problem on a slightly modified FDTD grid for the prediction of the (eigen)frequencies of the propagating modes for a given value of the propagation constant. Numerical results for two-dimensional periodic structures are in excellent agreement with results obtained using other numerical methods.

Original language	English (US)
Pages (from-to)	375-377
Number of pages	3
Journal	IEEE Microwave and Guided Wave Letters
Volume	3
Issue number	10
DOIs	https://doi.org/10.1109/75.242266
State	Published - Oct 1993
Externally published	Yes

ASJC Scopus subject areas

General Engineering
General Physics and Astronomy

Online availability

10.1109/75.242266

Library availability

Discover UIUC Full Text

Cite this

@article{7e1f7be8f79e4d87bd46d1e3a1dd4e9c,

title = "A Hybrid Spectral/FDTD Method for the Electromagnetic Analysis of Guided Waves in Periodic Structures",

abstract = "A hybrid spectral/FDTD (finite-difference time- domain) method is introduced for the analysis of electromagnetic wave propagation in anisotropic, inhomogeneous periodic structures. Discrete Fourier series representations for the field components are used for the spectral calculation of spatial derivatives along the axes of periodicity. Thus, the computational domain is restricted to a single period. Maxwell{\textquoteright}s system is then solved as an initial value problem on a slightly modified FDTD grid for the prediction of the (eigen)frequencies of the propagating modes for a given value of the propagation constant. Numerical results for two-dimensional periodic structures are in excellent agreement with results obtained using other numerical methods.",

author = "Cangellaris, {A. C.} and M. Gribbons",

note = "Funding Information: Manuscript received June 21, 1993. This work was supported in part by the Advanced Technology Program of the U.S. Department of Commerce through a grant to the National Storage Industry Consortium. A. C. Cangellaris and M. Gribbons are with the Electromagnetics Laboratory, Department of Electrical and Computer Engineering, the University of Arizona, Tucson, AZ 8572 1. G. Sohos is with the Department of Mathematics, Program in Applied Mathematics, the University of Arizona, Tucson, AZ 85721. IEEE Log Number 9212457.",

year = "1993",

month = oct,

doi = "10.1109/75.242266",

language = "English (US)",

volume = "3",

pages = "375--377",

journal = "IEEE Microwave and Guided Wave Letters",

issn = "1051-8207",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "10",

}

TY - JOUR

T1 - A Hybrid Spectral/FDTD Method for the Electromagnetic Analysis of Guided Waves in Periodic Structures

AU - Cangellaris, A. C.

AU - Gribbons, M.

N1 - Funding Information: Manuscript received June 21, 1993. This work was supported in part by the Advanced Technology Program of the U.S. Department of Commerce through a grant to the National Storage Industry Consortium. A. C. Cangellaris and M. Gribbons are with the Electromagnetics Laboratory, Department of Electrical and Computer Engineering, the University of Arizona, Tucson, AZ 8572 1. G. Sohos is with the Department of Mathematics, Program in Applied Mathematics, the University of Arizona, Tucson, AZ 85721. IEEE Log Number 9212457.

PY - 1993/10

Y1 - 1993/10

N2 - A hybrid spectral/FDTD (finite-difference time- domain) method is introduced for the analysis of electromagnetic wave propagation in anisotropic, inhomogeneous periodic structures. Discrete Fourier series representations for the field components are used for the spectral calculation of spatial derivatives along the axes of periodicity. Thus, the computational domain is restricted to a single period. Maxwell’s system is then solved as an initial value problem on a slightly modified FDTD grid for the prediction of the (eigen)frequencies of the propagating modes for a given value of the propagation constant. Numerical results for two-dimensional periodic structures are in excellent agreement with results obtained using other numerical methods.

AB - A hybrid spectral/FDTD (finite-difference time- domain) method is introduced for the analysis of electromagnetic wave propagation in anisotropic, inhomogeneous periodic structures. Discrete Fourier series representations for the field components are used for the spectral calculation of spatial derivatives along the axes of periodicity. Thus, the computational domain is restricted to a single period. Maxwell’s system is then solved as an initial value problem on a slightly modified FDTD grid for the prediction of the (eigen)frequencies of the propagating modes for a given value of the propagation constant. Numerical results for two-dimensional periodic structures are in excellent agreement with results obtained using other numerical methods.

UR - http://www.scopus.com/inward/record.url?scp=0027685171&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027685171&partnerID=8YFLogxK

U2 - 10.1109/75.242266

DO - 10.1109/75.242266

M3 - Article

AN - SCOPUS:0027685171

SN - 1051-8207

VL - 3

SP - 375

EP - 377

JO - IEEE Microwave and Guided Wave Letters

JF - IEEE Microwave and Guided Wave Letters

IS - 10

ER -

A Hybrid Spectral/FDTD Method for the Electromagnetic Analysis of Guided Waves in Periodic Structures

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this