HAF4013A Validation

FCC ID: LO6-DVRSVHF

RF Exposure Info

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FCCID_4102306

Validation of the numerical HAF4013A
antenna model per IEC/IEEE 62704-2
The numerical antenna model validation was performed according to Clause 6.1 of the IEC/IEEE 62704-2
standard. Accordingly, a 1040 mm diameter ground plane model was used with the antenna mounted in
the center to calculate the electric and magnetic field values along a vertical line parallel to the antenna
axis, at 20 cm separation distance from it.
A high resolution FIT (Finite Integration Technique) based simulation with minimum mesh size of 0.37
mm was conducted using CST Microwave Studio® (CST MWS) software to generate the reference field
values at test points equally spaced along the vertical line, with 5 mm step up to a height of 300 mm
above the ground plane, which is higher than the antenna tip (62 mm above the ground plane surface).

The physical antenna comprises a top loaded monopole with a thick base element.
A picture of the antenna is shown below alongside with the cross section of its CAD model view that
illustrates the internal details of the structure.




The reference antenna model was designed based on the CAD model that was imported in CST MWS.
The FIT CST simulations were performed with adaptive mesh refinement until the convergence of S-
parameters at the antenna feeding port reached the preset level of 2e-2 (-34 dB),* and near electric and
magnetic field values along the vertical line were exported in text format. The same setup was
simulated to compute the field values using XFDTD code with the same maximum resolution of the
FDTD grid that was used in subsequent exposure compliance simulations as required by the IEC/ IEEE
62704-2.




*
 The convergence criterion for S-parameters was defined as the maximum deviation of the absolute value of the
complex difference of the S-parameters between two subsequent passes

Validation of the numerical HAF4013A antenna model per IEC/EEE 62704-2                                     1/2


The figures below illustrate the CST MWS (FEM) and XFDTD antenna models. The red dot in the latter
represents the location of the lumped inductor.




            CST MWS (FIT) model of the HAF4013A antenna                      XFDTD model of the HAF4013A antenna



Finally, the electric and magnetic field values computed at 800 MHz with XFDTD were compared to the
reference values computed using high resolution CST model and the deviation was evaluated according
to equation (7) of the IEC/IEEE 62704-2 standard to quantify the uncertainty contribution of the
numerical antenna model, resulting in 8.7% uncertainty.

The plots below illustrate the magnitudes of electric and magnetic fields along the vertical line, at 20 cm
from the antenna axis, computed using CST MWS (FEM) and XFDTD codes, and normalized to 0.5 W net
input power at 800 MHz.


                          Electric field magnitude                                   Magnetic field magnitude
           50                                                             0.14
           45
                                                                          0.12
           40
           35                                                              0.1
                                                               |H|, A/m




           30
|E|, V/m




                                                                          0.08
           25
           20                                                             0.06
           15                                                             0.04
                         CST, |E|                                                          CST, |H|
           10
                                                                          0.02
            5            XFDTD, |E|                                                        XFDTD, |H|
            0                                                               0
                0   30   60   90 120 150 180 210 240 270 300                     0   30 60 90 120 150 180 210 240 270 300
                         Position along vertical line, mm                              Position along vertical line, mm




Validation of the numerical HAF4013A antenna model per IEC/EEE 62704-2                                                    2/2



Document Created: 2017-03-23 14:35:30
Document Modified: 2017-03-23 14:35:30

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