Finite difference time domain simulation of the Earth-ionosphere resonant cavity: Schumann resonances

A Soriano; E Navarro; DL Paul; JA Porti; JA Morente; IJ Craddock

doi:10.1109/TAP.2005.844415

Finite difference time domain simulation of the Earth-ionosphere resonant cavity: Schumann resonances

A Soriano, E Navarro, DL Paul, JA Porti, JA Morente, IJ Craddock

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Abstract

This paper presents a numerical approach to study the electrical properties of the Earth's atmosphere. The finite-difference time-domain (FDTD) technique is applied to model the Earth's atmosphere in order to determine Schumann resonant frequencies of the Earth. Three-dimensional spherical coordinates are employed and the conductivity profile of the atmosphere versus height is introduced. Periodic boundary conditions are implemented in order to exploit the symmetry in rotation of the Earth and decrease computational requirements dramatically. For the first time, very accurate FDTD results are obtained, not only for the fundamental mode but also for higher order modes of Schumann resonances. The proposed method constitutes a useful tool to obtain Schumann resonant frequencies, therefore to validate electrical models for the terrestrial atmosphere, or atmospheres of other celestial bodies

Translated title of the contribution	Finite difference time domain Simulation of the Earth-ionosphere resonant cavity: Schumann resonances
Original language	English
Article number	Issue 4
Pages (from-to)	1535 - 1541
Number of pages	7
Journal	IEEE Transactions on Antennas and Propagation
Volume	53
Issue number	4
DOIs	https://doi.org/10.1109/TAP.2005.844415
Publication status	Published - Apr 2005

Bibliographical note

Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Rose publication type: Journal article

Sponsorship: The authors would like to thank Profs. D. Bull and J.P. McGeehan for provision of facilities at the Electrical and Electronic
Engineering Department of the University of Bristol, Bristol, U.K.

Terms of use: Copyright © 2005 IEEE. Reprinted from IEEE Transactions on Antennas and Propagation. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Bristol's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

Keywords

Earth-ionosphere waveguide
finite-difference time-domain (FDTD) methods
propagation
extremely low frequency (ELF)

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Soriano APTrans Apr2005Accepted author manuscript, 434 KB

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title = "Finite difference time domain simulation of the Earth-ionosphere resonant cavity: Schumann resonances",

abstract = "This paper presents a numerical approach to study the electrical properties of the Earth's atmosphere. The finite-difference time-domain (FDTD) technique is applied to model the Earth's atmosphere in order to determine Schumann resonant frequencies of the Earth. Three-dimensional spherical coordinates are employed and the conductivity profile of the atmosphere versus height is introduced. Periodic boundary conditions are implemented in order to exploit the symmetry in rotation of the Earth and decrease computational requirements dramatically. For the first time, very accurate FDTD results are obtained, not only for the fundamental mode but also for higher order modes of Schumann resonances. The proposed method constitutes a useful tool to obtain Schumann resonant frequencies, therefore to validate electrical models for the terrestrial atmosphere, or atmospheres of other celestial bodies",

keywords = "Earth-ionosphere waveguide, finite-difference time-domain (FDTD) methods, propagation, extremely low frequency (ELF)",

author = "A Soriano and E Navarro and DL Paul and JA Porti and JA Morente and IJ Craddock",

note = "Publisher: Institute of Electrical and Electronics Engineers (IEEE) Rose publication type: Journal article Sponsorship: The authors would like to thank Profs. D. Bull and J.P. McGeehan for provision of facilities at the Electrical and Electronic Engineering Department of the University of Bristol, Bristol, U.K. Terms of use: Copyright {\textcopyright} 2005 IEEE. Reprinted from IEEE Transactions on Antennas and Propagation. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Bristol's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it. ",

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T1 - Finite difference time domain simulation of the Earth-ionosphere resonant cavity: Schumann resonances

AU - Soriano, A

AU - Navarro, E

AU - Paul, DL

AU - Porti, JA

AU - Morente, JA

AU - Craddock, IJ

N1 - Publisher: Institute of Electrical and Electronics Engineers (IEEE) Rose publication type: Journal article Sponsorship: The authors would like to thank Profs. D. Bull and J.P. McGeehan for provision of facilities at the Electrical and Electronic Engineering Department of the University of Bristol, Bristol, U.K. Terms of use: Copyright © 2005 IEEE. Reprinted from IEEE Transactions on Antennas and Propagation. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Bristol's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

PY - 2005/4

Y1 - 2005/4

N2 - This paper presents a numerical approach to study the electrical properties of the Earth's atmosphere. The finite-difference time-domain (FDTD) technique is applied to model the Earth's atmosphere in order to determine Schumann resonant frequencies of the Earth. Three-dimensional spherical coordinates are employed and the conductivity profile of the atmosphere versus height is introduced. Periodic boundary conditions are implemented in order to exploit the symmetry in rotation of the Earth and decrease computational requirements dramatically. For the first time, very accurate FDTD results are obtained, not only for the fundamental mode but also for higher order modes of Schumann resonances. The proposed method constitutes a useful tool to obtain Schumann resonant frequencies, therefore to validate electrical models for the terrestrial atmosphere, or atmospheres of other celestial bodies

AB - This paper presents a numerical approach to study the electrical properties of the Earth's atmosphere. The finite-difference time-domain (FDTD) technique is applied to model the Earth's atmosphere in order to determine Schumann resonant frequencies of the Earth. Three-dimensional spherical coordinates are employed and the conductivity profile of the atmosphere versus height is introduced. Periodic boundary conditions are implemented in order to exploit the symmetry in rotation of the Earth and decrease computational requirements dramatically. For the first time, very accurate FDTD results are obtained, not only for the fundamental mode but also for higher order modes of Schumann resonances. The proposed method constitutes a useful tool to obtain Schumann resonant frequencies, therefore to validate electrical models for the terrestrial atmosphere, or atmospheres of other celestial bodies

KW - Earth-ionosphere waveguide

KW - finite-difference time-domain (FDTD) methods

KW - propagation

KW - extremely low frequency (ELF)

U2 - 10.1109/TAP.2005.844415

DO - 10.1109/TAP.2005.844415

M3 - Article (Academic Journal)

SN - 0018-926X

VL - 53

SP - 1535

EP - 1541

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 4

M1 - Issue 4

ER -

Finite difference time domain simulation of the Earth-ionosphere resonant cavity: Schumann resonances

Abstract

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Keywords

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