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B.1 Magnetic Field Definitions

The sinusoidal form of the magnetic field is defined as:


$\displaystyle \it {B_0}=\it {\bar{B}_0}+\it {A_0}\cos(2\pi\it {ft}-\it {K}\bullet\it {R}+\phi)$      
$\displaystyle \it {K}=\frac{1}{\lambda}\left\{\frac{1}{\cos{\alpha}}\it {i}+\frac{1}{\cos{\beta}}\it {j}+\frac{1}{\cos{\gamma}}\it {k}\right\}$     (B.1-1)

where $\it {\bar{B}_0}$ is the mean vector, $\it {A_0}$ is the amplitude vector, $\it {K}$ is defined as the propagation vector, $\it {R}$ is the position vector of an arbitrary point. $\cos{\alpha}$, $\cos{\beta}$ and $\cos{\gamma}$ are the $\it {x}$, $\it {y}$ and $\it {z}$ direction cosines respectively. The quantities $\it {f}$, $\lambda$, and $\phi$ are the frequency, wavelength, and phase offset, respectively. For a non-moving field the propagation vector is zero. For a static field only applies.

The square form of the magnetic field is defined as:


 \it {B_0}=\it {\bar{B}_0}+\it {A_0}\frac{\cos(2\pi\it {ft}-\... ...+\phi)}{\vert\cos(2\pi\it {ft}-\it {K}\cdot\it {R}+\phi)\vert} (B.1-2)

The definition of the propagation vector is the same as for the sinusoidal form.


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