scholarly journals APPLICATION OF THE PANEL CLUSTERING METHOD TO THE BOUNDARY ELEMENT ANALYSIS OF THE ANTI-PLANE WAVE FIELD

2000 ◽  
Vol 3 ◽  
pp. 151-156
Author(s):  
Tsuyoshi ICHIMURA ◽  
Muneo HORI
Keyword(s):  
Plane Wave ◽  
Wave Field ◽  
Boundary Element ◽  
Clustering Method ◽  
Element Analysis ◽  
Boundary Element Analysis ◽  
Plane Wave Field

Ensemble estimation of polarization ellipse parameters

2007 ◽  
Vol 463 (2088) ◽  
pp. 3375-3394 ◽  
Author(s):  
A.T Walden ◽  
T Medkour
Keyword(s):  
Angular Distribution ◽  
Standard Deviation ◽  
Aspect Ratio ◽  
Plane Wave ◽  
Wave Field ◽  
Covariance Matrix ◽  
Time Instant ◽  
Azimuth Angle ◽  
Ensemble Estimation ◽  
Plane Wave Field

An ellipse describes the polarized part of a partially polarized quasi-monochromatic plane wave field. Its azimuth angle and aspect ratio are functions of the elements of the covariance matrix associated with the polarized part at a particular time instant. Given an ensemble of K independent samples at that time, the distributions of the estimators of these parameters are derived. The estimation is thus based on a sample ensemble at any time, and does not assume temporal stationarity. Additionally, the azimuth angle estimator has an angular distribution so that non-standard statistical methods are needed when deriving its mean and standard deviation.

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