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Beverage or long wire antenna above PEC ground

Beverage or long wire antenna above PEC ground Formulation used in the Matlab program “beverage” to get:

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Beverage or long wire antenna above PEC ground

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  1. Beverageor long wire antenna above PEC ground Formulation used in the Matlab program “beverage” to get: characteristic impedance Z0 directivity D0 radiation resistance R angles of maximum radiation angles of null radiation in the pattern radiation pattern The program consider two cases: Resonant wire, current distribution Traveling wave, current distribution The factor K is used below , such as

  2. Characteristic Impedancefor the beverage antenna is obtained from the one of a two wire line (p. 117, [2]) using the image theory Far-Zone Electric field Where Resonant case Traveling wave case For both cases using ( [1] 6-52, 6-52a, 6-54, 6-54a, pp. 283-285)

  3. Directivity where dimensions are in wavelength for resonant case: for traveling wave case:

  4. Radiation Resistance. Taking into account that For radiation into free space we have Resonant case: Traveling wave case:

  5. Note Expressions for Far-Zone Electric field are obtained as follows. E-field of a single wire is obtained using formulas (4-57, 4-58, 4-58a, p. 152, [1]) and taking into account particular current distribution. Approximations used for the distance R are (4-46, p. 148, [1]). Total electric field in far-zone is obtained with image theory and (6-52, 6-52a, 6-54, 6-54a, pp. 283-285, [1]) References: [1] C. E. Balanis, Antenna Theory: Analysis and Design, John Willey & Sons, 1997. [2] R.E.Collin, Foundation for Microwave Engineering, McGraw-Hill,1996.

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