2008+ Solved Problems in Electromagnetics

Chapter 9: Antennas

The Hertzian Dipole/Properties of the Far Field/Power or Radiation Pattern/Radiation Resistance/The Magnetic Dipole/Finite (Lossless) Dipole Antennas/The Angle Factor/Input Impedance/Lossy Dipole Antennas/Radiative Efficiency/Antenna Arrays/Principle of Pattern Multiplication/Radiation Intensity, Directive Gain, and Directivity/Coupled Antennas:Equivalent Circuits and the Reciprocity Theorem/Effective Aperture of an Antenna/(Power) Gain/The Friis Transmission Equation/Effects of a Ground Plane/Beam Solid Angle/Effective Antenna Length/Diffraction Patterns/Polarization Loss Factor (PLF)/HPBW and BWFN/Hansen-Woodyard Criteria

Solved Problems 1 50

9.1 A source current density J s, varying sinusoidally in time, results in a magnetic vector potential A in free space. Obtain a differential equation relating A to J s.

9.2 Express ( 5) of Problem 9.1 as a set of three scalar equations.

9.3 Give an integral (Green's function) solution to ( 5) of Problem 9.1.

9.4 A Hertzian dipole ( antenna) consists of an infinitesimal current element, of length d ?, carrying a phasor current , Determine A at some point ( r, ?, ?).

9.5 Explain how the electric and magnetic fields consistent with Maxwell's equations may be obtained from the magnetic vector potential in free space.

9.6 Find the H-field due to the dipole antenna of Problem 9.4.

9.7 Find the E-field due to the dipole antenna of Problem 9.4.

9.8 Obtain expressions for the far field of the dipole antenna of Problem 9.4.

9.9 Determine the intrinsic impedance for the...

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