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Here you can see two layers. The first, layer 0, is created automatically by AutoCAD and may not be deleted or renamed. The second is the layer that was just created through code. The default attribute settings are shown. We next examine how to change and retrieve the settings for some of these attributes and how to rename and delete a Layer object.

6.3 Coordinate System In order to discuss the directional patterns of an antenna, it is necessary to set up a coordinate system to which these can be referred. The system in common use is the spherical (or polar) coordinate system illustrated in Fig. 6.3. The antenna is imagined to be at the origin of the coordinates, and a distant point P in space is related to the origin by the coordinates r, , and . Thus r is the radius vector, the magnitude of

which gives the distance between point P and the antenna; is the angle measured from the x axis to the projection of r in the xy plane; and is the angle measured from the z axis to r. It is important to note that the x, y, and z axes form a right-hand set. What this means is that when one looks along the positive z direction, a clockwise rotation is required to move from the positive x axis to the positive y axis. (This is the same as the right-hand set introduced in Sec. 5.1) The right-hand set rotation becomes particularly significant when the polarization of the radio waves associated with antennas is described. 6.4 The Radiated Fields There are three main components to the radiated electromagnetic fields surrounding an antenna: two near-field regions and a far-field region. The field strengths of the near-field components decrease rapidly with increasing distance from the antenna, one component being inversely related to distance squared, and the other to the distance cubed. At comparatively short distances these components are negligible compared with the radiated component used for radio communications, the field strength of which decreases in proportion to distance. Estimates for the distances at which the fields are significant are shown in Fig. 6.4a.

R1 = .62

Figure 9-1

D3

(a) The electromagnetic-field regions surrounding an antenna. (b) Vector diagrams in the far-field region.

Here, D is the largest dimension of the antenna (e.g., the diameter of a parabolic dish reflector), and l is the wavelength. Only the far-field region is of interest here, which applies for distances greater than about 2D2/l. In the far-field region, the radiated fields form a transverse electromagnetic (TEM) wave in which the electric field is at right angles to the magnetic field, and both are at right angles (transverse) to the direction

When you create new entities in AutoCAD, they re placed on the current or active layer. Therefore, to draw entities on a specific layer, you must first make that layer active.

of propagation. The vector relationship is shown in Fig. 6.4b, where E represents the electric field, H the magnetic field, and k the direction of propagation. These vectors form a right-hand set in the sense that when one looks along the direction of propagation, a clockwise rotation is required to go from E to H. An important practical point is that the wavefront can be assumed to be plane; that is, E and H lie in a plane to which k is a normal. In the far field, the electric field vector can be resolved into two components, which are shown in relation to the coordinate system in Fig. 6.5a. The component labeled E is tangent at point P to the circular arc of radius r. The component labeled E is tangent at point P to the circle of radius r sin centered on the z axis (this is similar to a circle of latitude on the earth s surface). Both these components are functions of and and in functional notation would be written as E ( , ) and E ( , ). The resultant magnitude of the electric field is given by E 2E

(6.1)