A half-wavelength (1 = ^/2) dipole, positioned symmetrically about the origin along the z- axis, is used as a receiving antenna. A 300 MHz uniform plane wave, traveling along the x-axis in the negative x direction, impinges upon the 1/2 dipole. The incident plane wave has a power density of 2µ watts/m², and its electric field is given by E', = (3â, + jâ,)Ege*ikr where E, is a constant. Determine the following: (a) Polarization of the incident wave (including its axial ratio and sense of rotation, if appli- cable). (b) Polarization of the antenna toward the x-axis (including its axial ratio and sense of direc- tion, if applicable). (c) Polarization losses (in dB) between the antenna and the incoming wave (assume far-zone fields for the antenna).

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4.49. A half-wavelength (1 = 1/2) dipole, positioned symmetrically about the origin along the z-
axis, is used as a receiving antenna. A 300 MHz uniform plane wave, traveling along the
x-axis in the negative x direction, impinges upon the 1/2 dipole. The incident plane wave has
a power density of 2µ watts/m², and its electric field is given by
E', = (3â, + jâ,)Egetjkr
where E, is a constant. Determine the following:
(a) Polarization of the incident wave (including its axial ratio and sense of rotation, if appli-
cable).
(b) Polarization of the antenna toward the x-axis (including its axial ratio and sense of direc-
tion, if applicable).
(c) Polarization losses (in dB) between the antenna and the incoming wave (assume far-zone
fields for the antenna).
(d) Maximum power (in watts) that can be delivered to a matched load connected to the 1/2
dipole (assume no other losses).
Transcribed Image Text:4.49. A half-wavelength (1 = 1/2) dipole, positioned symmetrically about the origin along the z- axis, is used as a receiving antenna. A 300 MHz uniform plane wave, traveling along the x-axis in the negative x direction, impinges upon the 1/2 dipole. The incident plane wave has a power density of 2µ watts/m², and its electric field is given by E', = (3â, + jâ,)Egetjkr where E, is a constant. Determine the following: (a) Polarization of the incident wave (including its axial ratio and sense of rotation, if appli- cable). (b) Polarization of the antenna toward the x-axis (including its axial ratio and sense of direc- tion, if applicable). (c) Polarization losses (in dB) between the antenna and the incoming wave (assume far-zone fields for the antenna). (d) Maximum power (in watts) that can be delivered to a matched load connected to the 1/2 dipole (assume no other losses).
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