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Title: Using NEC to Model Vertical Radiators Near the Earth Post by: R. Fry SWL on April 07, 2012, 10:05:28 AM Many amateur radio operators and others appear to believe that a AMfone - Dedicated to Amplitude Modulation on the Amateur Radio Bands
vertical monopole with its base near the earth radiates zero relative field in the horizontal plane, and very little field at low elevation angles above the horizontal plane. Probably this assessment is due to many years of looking at far-field patterns of a vertical monopole with its base near the earth that are calculated for an infinite distance over a flat, real-earth ground plane. However that analysis does not fully describe the fields actually launched by that radiator -- which require using the near-field capabilities of NEC. Amateur radio operators apparently aren't concerned by the zero gain/field shown by NEC in the horizontal plane in a far-field analysis, thinking that only the "skywave" is important to them. However the significant radiation at very low elevation angles from a real vertical over real earth produce significant skywave, which can serve the greatest single-hop distances from the radiator. The comparison of the space and surface wave from the same monopole system linked next below illustrates this point. http://i62.photobucket.com/albums/h85/rfry-100/Space_Surface_Wave_Compare.gif It is undisputed that NEC-2 cannot model buried conductors. But that does not limit its usefulness in calculating surface-wave fields over real earth, using a properly constructed model. The considerations for doing this are shown in the clip below, taken from the NEC-2 Users Guide. The surface wave fields from a vertical monopole calculated using the near-field capability of NEC-2 compare quite well with those fields shown in the medium wave propagation charts of the FCC for the same applied power, radiator, frequency, and earth conductivity. This is illustrated in the propagation chart linked below for systems on 1700 kHz. http://i62.photobucket.com/albums/h85/rfry-100/PropChart1700kHz.gif The NEC surface wave in these attachments was calculated via the Sommerfeld-Norton method, using a vertical monopole driven against horizontal wires used as a counterpoise. The entire model was isolated from, but physically near the earth. Perhaps this information will add a different perspective when using NEC, and evaluating the patterns it produces for this application. Discussion is invited. Richard Fry + + + 3. Modeling Structures Over Ground Several options are available in NEC for modeling an antenna over a ground plane. For a perfectly conducting ground, the code generates an image of the structure reflected in the ground surface. The image is exactly equivalent to a perfectly conducting ground and results in solution accuracy comparable to that for a free-space model. Structures may be close to the ground or contacting it in this case. However, for a horizontal wire with radius a, and height h to the wire axis, [h^2 + a^2] ^1/2 should be greater than about 10^-6 wavelengths. Furthermore, the height should be at least several times the radius for the thin-wire approximation to be valid. This method doubles the time to fill the interaction matrix. A finitely conducting ground may be modeled by an image modified by the Fresnel plane-wave reflection coefficients. This method is fast but of limited accuracy and should not be used for structures close to the ground. A wire ground screen may be modeled with the Sommerfeld/Norton method if it is raised slightly above the ground surface. |