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The vector $\mathrm{H}$ in the far field of an antenna satisfies

  1. $\nabla \cdot \overrightarrow{\mathrm{H}}=0$ and $\nabla \times \overrightarrow{\mathrm{H}}=0$
  2. $\nabla \cdot \overrightarrow{\mathrm{H}} \neq 0$ and $\nabla \times \overrightarrow{\mathrm{H}} \neq 0$
  3. $\nabla \cdot \vec{\text{H}}=0$ and $\nabla \times \vec{\text{H}} \neq 0$
  4. $\nabla \cdot \overrightarrow{\mathrm{H}} \neq 0$ and $\nabla \times \overrightarrow{\mathrm{H}}=0$
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