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Dipolo

Dipolo. Sandra Cruz-Pol, Ph. D. INEL 5305 ECE UPRM Mayagüez, PR. The Dipole antenna. Has many practical applications Can be considered as a sum (integration) of Hertzian dipoles elements. Prime variables refer to distance to the source from the origin. Dipole. Usando Ley de Cosenos:

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Dipolo

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  1. Dipolo Sandra Cruz-Pol, Ph. D. INEL 5305 ECE UPRM Mayagüez, PR

  2. The Dipole antenna • Has many practical applications • Can be considered as a sum (integration) of Hertzian dipoles elements Prime variables refer to distance to the source from the origin.

  3. Dipole Usando Ley de Cosenos: Usando la serie de Taylor: Entonces queda:

  4. Para ignorar los términos de 1/r en adelante imponemos una condición, la cual consiste en que el error en fase que contribuye ese tercer término en R sea menor de p/8, (22.5°). Evaluando el caso peor, o sea cuando sinq =1 y para z' =z'max = l /2, se obtiene, • de donde se halla el valor mínimo de r (rff) para reducir el error en la fase,

  5. Sustituyendo … En el ‘Far Field’ se puede aproximar a: Lo cual se puede escribir como: Donde: Note que I(q) es la transformada de Fourier de I(z')

  6. If know Az…can find H and E. Necesito conocer la distribucion de corriente en el dipolo, I(q)

  7. Lo que se mide es: Lo cual se puede aproximar a:

  8. Para integrar: • Se divide en 2 integrales:

  9. Eq y Hø son proporcionales a sinqI(q); por lo tanto el patrón de potencia (sin normalizar) del dipolo de largo arbitrario es; Ahora veremos casos especiales.

  10. Dipolo • De media onda (l=l/2) • De onda completa (l=l) • De 3/4 onda (l=3l/4)

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