Science and Education Publishing
From Scientific Research to Knowledge
Submission
Browse by Subjects
Search
Journal Home
For Authors
Online Submission
Current Issue
Archive
About Us
Figures index
From
Application of Haar Wavelets and Method of Moments for Computing Performance Characteristics of Electromagnetic Materials
Vishwa Nath Maurya, Avadhesh Kumar Maurya
American Journal of Applied Mathematics and Statistics
.
2014
, 2(3), 96-105 doi:10.12691/ajams-2-3-3
Fig
ure
1
. Morlet or Modulated Gaussian wavelet
Full size figure and legend
Fig
ure
2
. Mexican hat wavelet
Full size figure and legend
Fig
ure
3
. The Shannon wavelet
Full size figure and legend
Fig
ure
4
. The Haar wavelet in a finite straight
Full size figure and legend
Fig
ure
5
. Representation of the Haar function for two-dimensions and one level of resolution
Full size figure and legend
Fig
ure
6
. Current in the conductor
Full size figure and legend
Fig
ure
7
. The surface charge (pC/m) on a 1.0m straight wire for 32 subdivisions
Full size figure and legend
Fig
ure
8
. The surface charge (pC/m) on a 1.0 by 1.0m plate for 16 subdivisions
Full size figure and legend
Fig
ure
9
. The computing time (s) as a function of the subdivision axe number
Full size figure and legend
Fig
ure
10
. The Haar matrix
Full size figure and legend
Fig
ure
11
. Value of the threshold of 0.01% (23528 non-zero elements)
Full size figure and legend
Fig
ure
12
. Value of a threshold of 0.05% (12232 non-zero elements)
Full size figure and legend
Fig
ure
13
. Variation of the charge surface density as a function of a selected threshold
Full size figure and legend
Fig
ure
14
. Matrix configuration after applying the Cholesky decomposition for the threshold equal to 0.01%
Full size figure and legend
Fig
ure
15
. Electric field simulation
Full size figure and legend
Fig
ure
16
. Superficial charge distribution
Full size figure and legend
Fig
ure
17
. Wavelet Coefficients as function of the resolution level
Full size figure and legend
Fig
ure
18
. Statistical data of the usage of the Haar wavelet with a level 5 resolution
Full size figure and legend
Fig
ure
19
. Superficial charge distribution with different resolution levels
Full size figure and legend