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Nic. Santean wrote:
So, the problem is that the dipole generates two fields (E&M) out of (time-)phase; whereas EM propagation in free space implies two fields in phase. The "contradiction" can not be more clear than this. If the antenna is a traveling-wave antenna, the E-fields and H-fields will be in time phase, physically orthogonal to each other's plane and orthogonal to the direction of energy flow. Reference: "Antennas", Kraus & Marhefka, third edition, sec. 6-8. "Since the current is entirely in the 'z' direction, the magnetic field has but ONE component, H(epsilon)." The ratio of the E- field to the H-field will be the characteristic impedance of the traveling- wave antenna. Also: _Optics_, by Hecht, Section 3.2, Electromagnetic Waves. For standing-wave antennas, like a dipole, there is MORE THAN ONE magnetic field component. For standing-wave antennas, like a dipole, there are forward-traveling waves from the feedpoint to the ends of the antenna and reflected traveling waves reflected back from the ends. This is similar to an un- terminated transmission line. It is well known that the total net voltage and total net current can be 90 degrees out of phase in a lossless un- terminated transmission line. Approximately the same holds true for standing-wave antennas. The total net voltage is the phasor sum of the forward voltage and reflected voltage which relates to the total E-field. The total net current is the phasor sum of the forward current and reflected current which relates to the total H-field. And of course, as in a transmission line, the total voltage and total current can be almost 90 degrees out of phase at the two points equi-distant from the feedpoint and the ends. So of course, the E-field and the H-field near the antenna will possess the same phase as the total net voltage and total net current flowing in the wire at the same orthogonal plane. -- 73, Cecil http://www.qsl.net/w5dxp -----= Posted via Newsfeeds.Com, Uncensored Usenet News =----- http://www.newsfeeds.com - The #1 Newsgroup Service in the World! -----== Over 80,000 Newsgroups - 16 Different Servers! =----- |
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