By Y.T. Lo, S. W. Lee
Quantity 1: Antenna basics and Mathematical recommendations opens with a dialogue of the basics and mathematical concepts for any form of paintings with antennas, together with easy rules, theorems, and formulation, and strategies. DLC: Antennas (Electronics)
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Extra resources for Antenna Handbook - Fundamentals and Mathematical Techniques
E. to connecting the generator at point z = h. 1) contains as in embryo all the integral equations of the theory of the thin antennas. The external appearance of the equations depends mostly on the selection of function Ez( J). 27), we obtain the integral equation of Hallen for the current along a filament. 3) 28 Antenna Engineering: Theory and Problems where G1 = exp(– jkR1)/(4pR1), R1 = |z – V|. 28), we obtain Hallen’s integral . equation for the current along a straight thin-wall metal cylinder (the equation with exact kernel) 1 2p 2p L j Ê e ˆ ÁË C cos kz + sin k z ˜¯ .
But at first it is necessary to show the consequences, which are follow from this result. 26) This means that the input impedance of the antenna in this approximation is equal to ZA2 = e : ÈÎ2 c J1 (0 ) - 30 c 2 F (a ) J12 (0 ) sin 2 a ˘˚ = 30 . 25). 15) the input current of no resonant radiator in the second approximation is equal to J(0) = +cJ1(0) + c 2J2(0), and c 2J2(0) << cJ1(0), if J1 Ŭ 6CMKPI VJKU KPGSWCNKV[ KPVQ CEEQWPV QPG ECP YTKVG KP a first approximation: ZA2 = È c2 J 2 ( 0 ) ˘ 1 È c2 J 2 ( 0 ) ˘ .
7b, is an example of a radiator consisting of wires with different lengths. The antenna contains the central radiator with complex load Z1 and side radiators situated around it and connected with it at the base. 65). The current distribution along the antenna wires is found by means of the theory of electrically coupled lines. 7c) consists of three wires. The first wire is equivalent to the central radiator, the second wire is equivalent to the system of identical side radiators, and the third wire is the ground.