A complex empirical orthogonal function for combining two different variables over Indonesian maritime continent

2016 ◽  
Author(s):  
Danang Eko Nuryanto
Keyword(s):  
Empirical Orthogonal Function ◽  
Maritime Continent ◽  
Orthogonal Function ◽  
Complex Empirical Orthogonal Function

scholarly journals Evidence of coastal trapped wave scattering using high-frequency radar data in the Mid-Atlantic Bight

2020 ◽  
Author(s):  
Kelsey Brunner ◽  
Kamazima M. M. Lwiza
Keyword(s):  
Empirical Orthogonal Function ◽  
High Frequency ◽  
Radar Data ◽  
Surface Velocity ◽  
Knowledge Gap ◽  
Eof Analysis ◽  
High Frequency Radar ◽  
Orthogonal Function ◽  
The North ◽  
Complex Empirical Orthogonal Function

Abstract. Coastal trapped waves (CTWs) become scattered when they encounter irregular coastlines and bathymetry during propagation. Analytical and modeling studies have provided some information about the different types of shelf geometries that can induce scattering, but much of the CTW scattering process generally remains a large knowledge gap. Furthermore, CTW scattering has never before been directly identified with observations. High-frequency radar surface velocity data covering the Mid-Atlantic Bight (MAB) continental shelf provides unprecedented observations of CTWs within a region with a highly complex coastline and bathymetry. A combination of velocity vector maps from real vector empirical orthogonal function (R-EOF) analysis and phase maps from complex empirical orthogonal function (C-EOF) analysis allow the identification of CTW scattering by assuming each EOF mode corresponds to a CTW mode. Abrupt jumps in phase in association with magnitude amplification/reduction or directional rotation of velocity vectors are indications of scattering. Using these guidelines, Georges Bank, Hudson Shelf Valley, Delaware Bay mouth, Chesapeake Bay mouth, and the North Carolina shelf are identified as high scattering regions within the MAB. Furthermore, stratification is confirmed to increase scattering into progressively higher order modes through a cascading process by comparing winter and summer cases, which supports previous theoretical and numerical model predictions. The simple methodology used here can be applied to observations of CTWs on other coastlines around the world to identify additional scattering regions and help close the knowledge gap.

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