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Extra resources for A Brief History of Particle Physics (In Tables)
Plane-wave propagation characteristics in plane-layered biological tissues can indicate how energy is absorbed when the radius of curvature of the tissue surfice is large compared to wavelength. The propagation coefficient, y, for energy transmission in biological tissues can be written in terms of the complex relative permittivity, E,, in the standard form as given in Equation 2-8, where the wavelength At = 27r/P is significantly reduced in the tissues from the free space value, Ao, due to the permittivity.
7 along with the far-field pattern (d = m). This figure is based on exact solutions for a uniformly illuminated circular aperture with a diameter of 10 wavelengths (Hansen and Bailin, 1959). --- 0 10 20 30 40 50 60 70 6, DEGREES Fig. 7. Normalized magnitude of E-plane (Ee) field patterns for the uniformly illuminated circular aperture for various radial distances, d, from the aperture. The Eplane is the x-z plane; the main axis of the beam is along the z axis; 0 is measured from the far field main-beam axis, and d = r/(b/A).
1 Plane Waves The steady state single frequency solution to the wave equation in terms of the phasor vector electric field strength E is given by where E is the instantaneous phasor vector electric field strength Eo is the magnitude of the electric field strength x is a unit vector in the x direction y is the propagation coefficient = a + jp and ej"' represents a sinusoidal time variation. This particular solution describes a plane wave traveling in the &z direction with E oriented in the i direction.