=== Computing Far-Field Characteristics in FDTD ===
[[Image:FDTD_FF2.png|thumb|400px|EM.Tempo's Far Field Acceleration dialog.]]
Far fields are the asymptotic form the fields when r → ∞ or k<sub>0</sub>r >> 1. Under these assumptions, the fields propagate outward as transverse electromagnetic (TEM) waves:
In the FDTD method, the far fields are calculated using a near-field-to-far-field transformation of the field quantities on a given closed surface. EM.Tempo uses rectangular boxes to define these closed surfaces. You can use EM.Tempo's default radiation box or define your own custom box. Normally, the radiation box must enclose the entire FDTD structure. In this case, the calculated radiation pattern corresponds to the entire radiating structure. Alternatively, you can define a custom radiation box that may contain only parts of a structure, which results in a partial radiation pattern.
<table>
<tr>
<td> [[Image:FDTD_FF1.png|thumb|350px|EM.Tempo's Radiation Pattern dialog.]] </td>
<td> [[Image:FDTD_FF3.png|thumb|350px|EM.Tempo's Radar Cross Section dialog.]] </td>
</tr>
</table>
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[[Image:FDTD_FF2.png|thumb|400px|EM.Tempo's Far Field Acceleration dialog.]]
The default radiation box is placed at an offset of 0.1λ<sub>0</sub> from the largest bounding box of your physical structure. You can change the offset value from the "Far Field Acceleration" dialog, which can be accessed by clicking the {{key|Acceleration...}} button of EM.Tempo's Radiation Pattern dialog. Calculation of far-field characteristics at high angular resolutions can be a very time consuming computational task. You can accelerate this process by setting a lower '''Max. Far Field Sampling Rate''' from the same dialog. The default sampling rate is 30 samples per wavelength. A low sampling rate will under-sample the mesh grid points on the radiation box.
[[Image:Info_icon.png|40px]] Click here to learn more about the theory of '''[[Data_Visualization_and_Processing#Using_Array_Factors_to_Model_Antenna_Arrays | Using Array Factors to Model Antenna Arrays ]]'''.
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<table>
<tr>
<td> [[Image:FDTD_FF1.png|thumb|350px|EM.Tempo's Radiation Pattern dialog.]] </td>
<td> [[Image:FDTD_FF3.png|thumb|350px|EM.Tempo's Radar Cross Section dialog.]] </td>
</tr>
</table>
[[Image:FDTD133.png|thumb|350px|Far Field Background Medium dialog.]]