Appendix

Bibliography

Classical Electrodynamics
John David Jackson
1975
0-471-43132-X
Fields and Waves in Communication Electronics
Ramo, Whinnery, Van Duzer
1984
0-471-87130-3
Classical Electricity and Magnetism
Panofsky, Phillips
1962
0-201-05702-6
Feynman Lectures on Physics
Richard Feynman
1963
LoC 63-20717
Electromagnetic Waves and Radiating Systems
Edward Jordan and K.G. Balmain
1968
LoC 68-16319
The Classical Theory of Fields
Landau, Lifshitz
1975
0-08-018176-7
Fourier Optics
Joseph Goodman
2005
0-9747077-2-4
Electromagnetics for Engineers
Fawwaz Ulaby
2005
0-13-149724-3
Electromagnetc Theory
Julius Stratton
1941

Parametric Quantities

range (m) Range of dA, dL, sphere radius
extent (m) Extent of graphics projection
lambda (m) Operating wavelength
frequency (sec^-1) Operating frequency
index Increment iterations
Dish_Radius (m) Dish Radius
Dish_Vertex (m) Dish vertex along x axis
Focal_Length (m) Dish Focal Length
Dish_N Resolution of dish secondary source
dL_theta zenith of dL, dA
dL_phi azimuth of dL, dA
dL_r2 (m) dL start radius
dL_r1 (m) dL stop radius
Dipole_Resolution Resolution of Yagi elements
Dipole_Current^2*73 (W) Half Wave Dipole Power
Yagi_Phase Phase shift between Yagi elements
Yagi_Spacing (m) Separation between Yagi elements
Yagi_N Number of Yagi elements
Dipole_Length (m) Length of Yagi elements
Dipole_Current (A) Maximum current along Yagi elements
dP (W) dA Power
rmsE (V/m) rms Electric Field over dA
rmsH (A/m) rms Magnetic Field over dA
dO dA Solid Angle
dA (m^2) dA Area
Total_Power (W) at infinity
Sphere_Power (W) through sphere
Sphere_Area (m^2) Sphere area
dP/dA (W/m^2) Power density
(dP/dA)/(Total_Power/(4*pi*Range^2) Directivity
Total_Power/(4*pi*Range^2) (W/m^2) Isotropic Poynting Vector
10*log10((dP/dA)/(Total_Power/(4*pi*Range^2))) Directivity
translation (m) Incremental translation of source
translation*index (m) Total translation of source
translation/lambda Translation of source in wavelengths
rotation Incremental rotation of source
rotation*index Total rotation of source
rotation*index*(360/(2*pi)) Total rotation of source in degrees
extent/lambda Extent in wavelengths
Dipole_Length/lambda Element length in wavelengths
range/lambda Range in wavelengths
frequency*lambda (m/s) velocity of light
1/frequency (s) Radiation period
Dish_Radius/lambda Dish size in wavelengths
Focal_Length/lambda Focal length in wavelengths
Dish_Power (W) Source Power incident on dish
Dish_Area/(lambda^2) Dish Area in square wavelengths
Dish_Area (m^2) Dish Area
Dish_Beam_Width Dish Beam width

The Fill Bars

The fill bars show vividly the power flowing through the sphere and through the differential element dA , which depend of course upon the relative positions of source , dA , and sphere. In the following sequence, the five element Yagi is rotated about its z axis. The power through the sphere (gray) and dA (mustard) are shown graphically and numerically on the right. The sphere power P is constant, while dP through dA is symmetric about the x axis.

The source can be rotated and translated in three dimensions without restriction, with P and dP varying accordingly, and also varying with the magnitude dA. For example if the source is external to the sphere, the power through the sphere is zero. The Dipole Animator in this way replicates in three dimensions the behavior of hardware in the microwave laboratory, or on the radar range, or in astronomical configuration.

Dipole Animator Interface

Click on the thumbnail to see the full-size image with caption.

Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Figure 12 Figure 13 Figure 14 Figure 15 Figure 16 Figure 17 Figure 18 Transmit Dish I 11 Transmit Dish II 9