Non-linear interactions between tides and planetary waves resulting in periodic tidal variability

A. G. Beard, N. J. Mitchell, P. J.S. Williams, M. Kunitake

Research output: Contribution to journalArticle

98 Citations (Scopus)

Abstract

Data obtained from a meteor radar at Sheffield, U.K. (53°27'N, 1°35'W) between 30 June 1989 and 6 October 1994 have been used to study the variability of tidal amplitudes and the possibility that this is caused by non-linear interactions with planetary waves. Instances of regular variations in tidal amplitude with periods corresponding to those of simultaneously-observed planetary waves are investigated. The observed tidal variability is analysed in the light of a current theory of non-linear interaction between tides and planetary waves, which predicts the presence of secondary waves having frequencies that are the sum and difference of the primary waves involved in the interaction. Three case studies are presented in which periodogram analysis reveals the presence of these secondary waves and a bispectral analysis of the same data is used to confirm these findings. The suitability and limitations of this latter technique as a detector of quadratic phase coupling in data sets of the type used in this study are discussed.

Original languageEnglish
Pages (from-to)363-376
Number of pages14
JournalJournal of Atmospheric and Solar-Terrestrial Physics
Volume61
Issue number5
DOIs
Publication statusPublished - 15 Mar 1999

ASJC Scopus subject areas

  • Geophysics
  • Atmospheric Science
  • Space and Planetary Science

Cite this

Non-linear interactions between tides and planetary waves resulting in periodic tidal variability. / Beard, A. G.; Mitchell, N. J.; Williams, P. J.S.; Kunitake, M.

In: Journal of Atmospheric and Solar-Terrestrial Physics, Vol. 61, No. 5, 15.03.1999, p. 363-376.

Research output: Contribution to journalArticle

@article{854375eb1ba2458ba91fa9b84dbd9e49,
title = "Non-linear interactions between tides and planetary waves resulting in periodic tidal variability",
abstract = "Data obtained from a meteor radar at Sheffield, U.K. (53°27'N, 1°35'W) between 30 June 1989 and 6 October 1994 have been used to study the variability of tidal amplitudes and the possibility that this is caused by non-linear interactions with planetary waves. Instances of regular variations in tidal amplitude with periods corresponding to those of simultaneously-observed planetary waves are investigated. The observed tidal variability is analysed in the light of a current theory of non-linear interaction between tides and planetary waves, which predicts the presence of secondary waves having frequencies that are the sum and difference of the primary waves involved in the interaction. Three case studies are presented in which periodogram analysis reveals the presence of these secondary waves and a bispectral analysis of the same data is used to confirm these findings. The suitability and limitations of this latter technique as a detector of quadratic phase coupling in data sets of the type used in this study are discussed.",
author = "Beard, {A. G.} and Mitchell, {N. J.} and Williams, {P. J.S.} and M. Kunitake",
year = "1999",
month = "3",
day = "15",
doi = "10.1016/S1364-6826(99)00003-6",
language = "English",
volume = "61",
pages = "363--376",
journal = "Journal of Atmospheric and Solar-Terrestrial Physics",
issn = "1364-6826",
publisher = "Elsevier",
number = "5",

}

TY - JOUR

T1 - Non-linear interactions between tides and planetary waves resulting in periodic tidal variability

AU - Beard, A. G.

AU - Mitchell, N. J.

AU - Williams, P. J.S.

AU - Kunitake, M.

PY - 1999/3/15

Y1 - 1999/3/15

N2 - Data obtained from a meteor radar at Sheffield, U.K. (53°27'N, 1°35'W) between 30 June 1989 and 6 October 1994 have been used to study the variability of tidal amplitudes and the possibility that this is caused by non-linear interactions with planetary waves. Instances of regular variations in tidal amplitude with periods corresponding to those of simultaneously-observed planetary waves are investigated. The observed tidal variability is analysed in the light of a current theory of non-linear interaction between tides and planetary waves, which predicts the presence of secondary waves having frequencies that are the sum and difference of the primary waves involved in the interaction. Three case studies are presented in which periodogram analysis reveals the presence of these secondary waves and a bispectral analysis of the same data is used to confirm these findings. The suitability and limitations of this latter technique as a detector of quadratic phase coupling in data sets of the type used in this study are discussed.

AB - Data obtained from a meteor radar at Sheffield, U.K. (53°27'N, 1°35'W) between 30 June 1989 and 6 October 1994 have been used to study the variability of tidal amplitudes and the possibility that this is caused by non-linear interactions with planetary waves. Instances of regular variations in tidal amplitude with periods corresponding to those of simultaneously-observed planetary waves are investigated. The observed tidal variability is analysed in the light of a current theory of non-linear interaction between tides and planetary waves, which predicts the presence of secondary waves having frequencies that are the sum and difference of the primary waves involved in the interaction. Three case studies are presented in which periodogram analysis reveals the presence of these secondary waves and a bispectral analysis of the same data is used to confirm these findings. The suitability and limitations of this latter technique as a detector of quadratic phase coupling in data sets of the type used in this study are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0033038185&partnerID=8YFLogxK

U2 - 10.1016/S1364-6826(99)00003-6

DO - 10.1016/S1364-6826(99)00003-6

M3 - Article

VL - 61

SP - 363

EP - 376

JO - Journal of Atmospheric and Solar-Terrestrial Physics

JF - Journal of Atmospheric and Solar-Terrestrial Physics

SN - 1364-6826

IS - 5

ER -