Near Field Power Density Simulation Report

FCC ID: A3LSMG977U

RF Exposure Info

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FCCID_4235748

FCC ID: A3LSMG977U
Power Density Simulation Report


April 9th. 2019



SAMSUNG ELECTRONICS


1. Simulation methodology for Power Density (PD)



1.1 Simulation tool

1.1.1 Tool description

For the simulation approach to calculating power density (PD) evaluation for mobile phone with
mmWave antenna modules, ANSYS Electromagnetics suite version 19.2 (HFSS) is used. ANSYS
HFSS is one of several commercial tools for 3D full-wave electromagnetic simulation used for
antenna and RF structure design of high frequency component. ANSYS Electromagnetics suite
version 19.2 (HFSS) is implemented based on Finite Element Method (FEM), which operates in the
frequency domain.



1.1.2 Mesh and Convergence criteria

To solve the PD analysis using FEM, volume area containing simulated objects should be subdivided
into electrically small parts that are called finite elements as the unknown functions. To subdivide
system, the adaptive mesh technique in ANSYS Electromagnetics suite version 19.2 (HFSS) is used.
ANSYS Electromagnetics suite version 19.2 (HFSS) starts to refine the initial mesh based on
wavelength and calculate the error to iterative process for adaptive mesh refinement. The
determination parameter of the number of iteration in ANSYS Electromagnetics suite version 19.2
(HFSS) is defined as convergence criteria, delta S, and the iterative adaptive mesh process repeats
until the delta S is met. In ANSYS Electromagnetics suite version 19.2 (HFSS), the accuracy of
converged results depends on the delta S. Figure 1 is an example of final adaptive mesh of the device
(cross-section of top view).




                         Figure 1 Example of the adaptive mesh technique (Top view)


1.1.3 Power density calculation

After solving 3D full-wave electromagnetic simulation, various kinds of physical quantities can be
                                                                                  �⃗) and a magnetic
obtained. To calculate PD evaluation, two physical quantities, an electric field (E
       ��⃗) are needed. The actual consumption power can be expressed as the real term of the Poynting
field (H
vector (S�⃗) from the cross product of E
                                       �⃗ and complex conjugation of H
                                                                     ��⃗ as shown below:

                                                        1
                                            ⟨S�⃗⟩ = Re � �E⃗ × H
                                                               ��⃗ ∗ �
                                                        2

⟨S�⃗⟩ can be expressed as localized power density based on a peak value of each spatial point on mesh
grids, and obtained directly from ANSYS Electromagnetics suite version 19.2 (HFSS).

From the localized power density ⟨S�⃗⟩, the spatial-averaged power density (PD𝑎𝑎𝑎𝑎 ) on an evaluated area
(A) can be derived as shown below:

                                      1                   1
                           PD𝑎𝑎𝑎𝑎 =     � ⟨S�⃗⟩ ∙ 𝑑𝑑𝑑𝑑 =            �⃗ × H
                                                            � �𝑅𝑅𝑅𝑅(E    ��⃗ ∗ )� ∙ 𝑑𝑑𝑑𝑑
                                      𝐴𝐴 𝐴𝐴              2𝐴𝐴 𝐴𝐴

, where the spatial-averaged power density (PD𝑎𝑎𝑎𝑎 ) is total power density value considering on x, y
and z components of localized power density ⟨S�⃗⟩ and the evaluated area (A) is 4cm2 .



1.2 Simulation setup

1.2.1 3D modeling

Figure 2 shows the simulation model which is mounted three mmWave antenna modules. The
simulation modeling includes most of the entire structure of device itself such as PCB, metal frame,
battery, cables, and legacy antennas as well as mmWave antenna modules called as Ant J, Ant K and
Ant L. On the back side view, Ant J is placed at the top side and antennas are facing the backside of
the device. Ant K is placed on the left side and antennas are facing the left side, and Ant L is placed on
the right side and antennas are facing the right side of the device.


               Figure 2 Simulation model which is mounted three mmWave antenna modules



1.2.2 PD evaluation planes

Table 1 shows the PD evaluation planes for each mmWave antenna module and Figure 3 shows the
PD evaluation planes and truncation area of the simulation model to find worst case of beamforming
cases. In Ant J and Ant K cases, five PD evaluation planes except bottom side are set up. Ant J and
Ant K are placed at the upper of the device and the bottom side is excluded from the worst case
because the distance from the bottom side is more than 10 lambda at 39 GHz. In Ant L case, five PD
evaluation planes except top side are set up, Ant L is placed at the lower of the device and the top side
is excluded from the worst case for the same reason as Ant J and Ant K.

Please note that the “right” and “left” edge of mentioned in this report are defined from the
perspective of looking at the device from the back side.



                                        Table 1. PD evaluation planes

                                                   Left            Right
                   Front          Back          From Front      From Front       Top          Bottom
                                                   View            View
                    S1             S2               S3              S4           S5              S6
   Ant J            O               O                O                  O         O              X
   Ant K            O               O                O                  O         O              X
   Ant L            O               O                O                  O         X              O


Figure 3. PD evaluation planes


1.2.3 Boundary condition

To simulate electromagnetic tool based on FEM, the boundary condition allows electromagnetic
waves to be electrically open at the boundary and radiated far away without reflection. ANSYS
Electromagnetics suite version 19.2 (HFSS) can support the absorbing boundary condition (ABC) for
radiation boundary and make normally a quarter wave length from the radiating structure. In this
report, to cover all beamforming cases of mmWave antenna modules, the three wavelength spacing
from the device is used.



1.2.4 Source excitation condition

The number of antenna ports of ANT J, ANT K, and ANT L for source excitation consists of 16, 8,
and 8, respectively. The antenna port of ANT J is divided into 8 ports for 1 x 4 patch array antennas
and 8 ports for 1 x 4 dipole array antennas. In the 8 ports included in each patch antenna, 4 ports are
divided into vertical polarization feeding, and the other 4 ports are divided into horizontal polarization
feeding. The dipole array antennas consist of 4 antenna elements and each element uses two ports as a
source excitation. All antenna ports of ANT K and ANT L are for patch array antennas and are similar
to those of ANT J.

Figure 4 shows the ANT J module structure and surrounding structure. The ANT J module is
encrypted in the ANSYS Electromagnetics suite (HFSS) and can only check the feeding position.




                                    Figure 4. mmWave module (ANT J)



After finishing 3D full wave electromagnetic simulation of modeling structure, the magnitude and
phase information can be loaded for each port by using “Edit Sources” function in ANSYS
Electromagnetics suite (HFSS). Figure 5 shows an example of antenna port excitations.


                            Figure 5. An example of port excitation (ANT J)



Since ANSYS Electromagnetics suite (HFSS) uses FEM solver based on frequency domain analysis
method, the input source for the port excitation applies sinusoidal waveform for each frequency.



1.2.5 Condition of simulation completion

The simulation completion condition of ANSYS Electromagnetics suite (HFSS) is defined as delta S.
The ANSYS Electromagnetics suite (HFSS) calculates the S-parameter for the mesh conditions of
each step and determines whether to proceed with the operation of the next step by comparing the
difference between the S-parameters in the previous step. A difference between the previous step and
the current step of S-parameter is expressed as delta S, and the delta S generally sets 0.02. The
simulation result of this report is the result of setting delta S to 0.02.


2. Simulation verification

2.1 Spatial-averaged power density

As mentioned in the previous chapter, the Poynting vector (S�⃗) can be obtained through cross product
                      �⃗) and complex conjugate of a magnetic field (H
of an electric field (E                                              ��⃗). The real term of the Poynting
vector can be described as the localized power density or peak power density. Using the localized
power density, the spatial-averaged power density can be obtained by the integral of 4 cm2 at 2.5 mm
intervals of the localized power density result. Figure 6 shows examples of the distribution plot of
localized power density and the averaged power density.




                              Figure 6. Power density distribution (Example)

2.2 Comparison between simulation and measurement

In this section, the simulated-power density distributions and measured-power density distributions
are compared to each mmWave antenna.

Based on comparison of power density distributions, simulated power density and measured power
density have a good correlation. Measurement uncertainty in mmWave frequency in measurement
side and inaccuracy of material properties in mmWave frequency in the simulation side are considered
as error factors.

The input powers per each active port are below for both Simulation and Measurement. For
Simulation, these values were entered directly into HFSS model. For measurement, FTM S/W was
used to input these values for each active port also. The maximum device output rating was
determined to meet regulatory limits.


* The below simulation and measurement result were performed at 2mm Distance and 38.5GHz




                                              Ant J Patch

                                 Measured PD      Measured PD       Simulated PD      Simulated PD
 Side     Beam ID    Channel      (100% DC)        (25% DC)          (100% DC)          (25% DC)
                                   mW/cm2           mW/cm2            mW/cm2             mW/cm2
 Back      168         Mid           0.357             0.09              1.95               0.49
 Back       28         Mid           0.331             0.08              2.17               0.54
 Back     42/170       Mid           0.442             0.11              4.32               1.08

                                             Ant J Dipole

                                Measured PD       Measured PD       Simulated PD      Simulated PD
 Side    Beam ID    Channel      (100% DC)         (25% DC)          (100% DC)          (25% DC)
                                  mW/cm2            mW/cm2            mW/cm2             mW/cm2
 Back       17         Mid          0.858             0.22               1.75              0.44
 Back      133         Mid          0.589             0.15               1.23              0.31
 Back     17/145       Mid          0.932             0.23               2.58              0.64

                                             Ant K Patch

                                Measured PD       Measured PD       Simulated PD      Simulated PD
 Side    Beam ID    Channel      (100% DC)         (25% DC)          (100% DC)          (25% DC)
                                  mW/cm2            mW/cm2            mW/cm2             mW/cm2
 Right     161        Mid           0.557             0.14              1.27               0.32
 Right      44        Mid           0.429             0.11              2.05               0.51
 Right    44/172      Mid           1.11              0.28              3.84               0.96

                                             Ant L Patch

                               Measured PD       Measured PD       Simulated PD      Simulated PD
 Side    Beam ID    Channel     (100% DC)         (25% DC)          (100% DC)          (25% DC)
                                 mW/cm2            mW/cm2            mW/cm2             mW/cm2
 Left     166         Mid          0.633              0.16              1.25               0.31
 Left      36         Mid          0.499              0.12              2.43               0.61
 Left    50/178       Mid          1.22               0.31              4.03               1.01


   ANT J-Patch: Low Channel, Beam ID: 42/170, Back




                 (a) measurement                        (b) simulation

                   ANT J patch: Low Channel, Localized power density




                 (a) measurement                        (b) simulation



                   ANT J patch: Low Channel, averaged power density


   ANT J-Patch: Mid Channel, Beam ID: 42/170, Back




                (a) measurement                           (b) simulation

                   ANT J patch: Mid Channel, Localized power density




                (a) measurement                           (b) simulation

                   ANT J patch: Mid Channel, averaged power density


   ANT J-Patch: High Channel, Beam ID: 42/170, Back




            (a) measurement                              (b) simulation

                   ANT J patch: High Channel, Localized power density




            (a) measurement                              (b) simulation

                   ANT J patch: High Channel, averaged power density


   ANT J-Dipole: Low Channel, Beam ID 17/145, Back




            (a) measurement                             (b) simulation

                  ANT J-Dipole: Low Channel, Localized power density




            (a) measurement                             (b) simulation

                   ANT J-Dipole: Low Channel, averaged power density


   ANT J-Dipole: Mid Channel, Beam ID 17/145, Back




            (a) measurement                              (b) simulation

                   ANT J-Dipole: Mid Channel, Localized power density




            (a) measurement                              (b) simulation

                   ANT J-Dipole: Mid Channel, averaged power density


   ANT J-Dipole: High Channel, Beam ID 17/145, Back




            (a) measurement                              (b) simulation

                  ANT J-Dipole: High Channel, Localized power density




            (a) measurement                              (b) simulation

                   ANT J-Dipole: High Channel, averaged power density


   ANT K: Low Channel, Beam ID 44/172, Right




                   (a) measurement                            (b) simulation

                     ANT K: Low Channel, Localized power density




                   (a) measurement                            (b) simulation

                     ANT K: Low Channel, Averaged power density


   ANT K: Mid Channel, Beam ID 44/172, Right




                   (a) measurement                            (b) simulation

                     ANT K: Mid Channel, Localized power density




                   (a) measurement                            (b) simulation

                      ANT K: Mid Channel, averaged power density


   ANT K: High Channel, Beam ID 44/172, Right




                   (a) measurement                             (b) simulation

                     ANT K: High Channel, Localized power density




                   (a) measurement                             (b) simulation

                      ANT K: High Channel, averaged power density


   ANT L: Low Channel, Beam ID 50/178, Left




                   (a) measurement                            (b) simulation

                     ANT L: Low Channel, Localized power density




                   (a) measurement                            (b) simulation

                      ANT L: Low Channel, Averaged power density


   ANT L: Mid Channel, Beam ID 50/178, Left




                   (a) measurement                             (b) simulation

                      ANT L: Mid Channel, Localized power density




                   (a) measurement                             (b) simulation

                      ANT L: Mid Channel, averaged power density


   ANT L: High Channel, Beam ID 50/178, Left




                   (a) measurement                              (b) simulation

                      ANT L: High Channel, Localized power density




                   (a) measurement                              (b) simulation

                      ANT L: High Channel, averaged power density


3. Simulation results

3.1 PD for Mid Channel at 39GHz

3.1.1 Ant J – Patch/Dipole Antenna

Table 2 shows the PD simulation evaluation of Ant J patch/dipole antenna at 39GHz for each
evaluation plane. The input power for each port is shown below.

                                 Table 2. PD of Ant J – patch/dipole antenna (39GHz)

                                                                                                 M-CH
                        PD Simulation             @ Operating
                                  2                                                     2 mm                       10mm 15mm
                         (mW/cm )                Target Tx Power
                                                                       S4       S3       S5       S1       S2       S2       S2
                                 SISO/MIMO       Target               Right     Left
                        Patch/                             BEAM
                                        &       Tx Power              from     from     Top      Front    Rear     Rear     Rear
                        Dipole                               ID
                                 Polarization    (dBm)                Front    Front
                                                  6.5           28    0.0399   0.1817   0.1522   0.0267   2.1663   0.8488   0.5422
                                                  6.5           26    0.0063   0.3250   0.1170   0.0238   1.5309   0.7770   0.6508
                                                  6.5           24    0.0378   0.0790   0.1937   0.0307   1.3838   0.8253   0.6067
                                                  6.5           25    0.0130   0.0665   0.1904   0.0103   1.4282   1.0336   0.7657
                                 Single beam
                                                  6.5           27    0.0154   0.2483   0.1586   0.0149   2.0332   0.7329   0.4734
                                    H-pol
                                                  6.5           41    0.0107   0.2698   0.1387   0.0204   1.7002   0.7585   0.5511
                                                  6.5           39    0.0186   0.0751   0.2058   0.0139   1.3938   0.7923   0.6299
                                                  6.5           40    0.0117   0.2342   0.1283   0.0172   1.4643   0.7269   0.5033
                                                  6.5            42   0.0314   0.2092   0.1580   0.0262   2.1526   0.8220   0.5053
                                                  6.5           152   0.0078   0.4159   0.1211   0.0147   1.5469   0.8568   0.6890
                                                  6.5           153   0.0085   0.1450   0.1216   0.0160   1.7738   1.0704   0.8724
                                                  6.5           155   0.0149   0.0993   0.1141   0.0544   1.5548   0.8453   0.6610
                                                  6.5           154   0.0046   0.0998   0.1469   0.0025   1.9419   1.2487   0.9753
                                 Single beam
                         Patch                    6.5           156   0.0207   0.0980   0.0751   0.0160   1.8753   0.6913   0.4681
                                    V-pol
                                                  6.5           167   0.0078   0.2473   0.1349   0.0168   1.6325   0.9754   0.8015
                                                  6.5           169   0.0128   0.0947   0.2117   0.0250   1.7413   1.1114   0.9043
                                                  6.5           168   0.0057   0.0598   0.0972   0.0063   1.9534   1.3060   0.9767
                                                  6.5           170   0.0165   0.0942   0.0983   0.0550   1.4976   0.7639   0.5665
                                                  6.5      28   152   0.0196   0.3825   0.2806   0.0505   4.1111   1.3787   0.9580
                                                  6.5      26   153   0.0141   0.5508   0.1775   0.0315   3.5374   2.0206   1.7254
                                                  6.5      24   155   0.0515   0.2192   0.2651   0.0180   3.3658   2.1347   1.5333
                ANT-J
                                                  6.5      25   154   0.0092   0.1052   0.2419   0.0217   3.9555   2.3629   1.9096
                                 Paired beam      6.5      27   156   0.0291   0.2528   0.2490   0.0674   4.2924   1.5832   0.9524
                                                  6.5      41   167   0.0155   0.4999   0.2924   0.0395   2.4059   1.3308   1.0887
                                                  6.5      39   169   0.0457   0.1864   0.4454   0.0268   2.5232   1.7323   1.3607
                                                  6.5      40   168   0.0098   0.2410   0.1665   0.0164   3.4765   2.2098   1.7566
                                                  6.5      42   170   0.0356   0.2702   0.2346   0.0808   4.3221   1.3641   0.8763

                                                  6.5            0    0.0083   0.0846   0.3657   0.0155   0.8250   0.2767   0.1889
                                                  6.5            5    0.0202   0.0735   0.8331   0.0568   1.7485   0.8438   0.6291
                                 Single beam      6.5            4    0.0131   0.1597   0.8413   0.0416   1.6285   0.7370   0.5357
                                    H-pol         6.5            6    0.0210   0.1106   0.7126   0.0279   1.6800   0.6339   0.4880
                                                  6.5           16    0.0163   0.1122   0.8703   0.0759   1.7064   0.8410   0.6066
                                                  6.5            17   0.0223   0.0841   0.7652   0.0461   1.7501   0.7540   0.5740
                                                  6.5           128   0.0018   0.0841   0.2349   0.0035   0.5779   0.2346   0.1583
                                                  6.5           132   0.0068   0.0404   0.5253   0.0080   1.1823   0.6062   0.4560
                                 Single beam      6.5           133   0.0027   0.1198   0.5709   0.0033   1.2251   0.6331   0.4832
                        Dipole
                                    V-pol         6.5           134   0.0051   0.2504   0.3401   0.0151   1.0774   0.3307   0.2362
                                                  6.5           144   0.0044   0.0761   0.5751   0.0041   1.2145   0.6601   0.4847
                                                  6.5           145   0.0039   0.2636   0.3681   0.0131   1.0959   0.3468   0.2164
                                                  6.5       0   128   0.0091   0.1740   0.3958   0.0227   1.0611   0.4564   0.3340
                                                  6.5       5   132   0.0342   0.0442   1.0572   0.0551   2.1249   1.0517   0.7749
                                                  6.5       4   133   0.0075   0.2100   1.0655   0.0952   2.4195   0.9848   0.8508
                                 Paired Beam
                                                  6.5       6   134   0.0270   0.2769   1.0609   0.0407   2.5086   0.8905   0.5318
                                                  6.5      16   144   0.0114   0.1962   1.3546   0.0328   2.5138   1.5056   1.1952
                                                  6.5      17   145   0.0240   0.2871   1.1364   0.0203   2.5789   1.1468   0.7944


3.1.2 Ant K – Patch Antenna

Table 3 shows the PD simulation evaluation of Ant K patch antenna at 39GHz for each evaluation
plane. The input power for each port is shown below.

                                   Table 3. PD of Ant K – patch antenna (39GHz)

                                                                                           M-CH
         PD Simulation             @ Operating
                                                                         2 mm                          10mm              15mm
          (mW/cm2)                Target Tx Power
                                                        S2       S3       S5       S1       S4       S4       S2       S4       S2


                  SISO/MIMO      Target Tx                       Left                   Right       Right         Right
        Patch/
                         &        Power      BEAM ID Rear       from      Top     Front from        from     Rear from         Rear
        Dipole
                  Polarization    (dBm)                         Front                   Front       Front         Front


                                    6.5       29       1.0670   0.0014   0.0213   0.1603   1.7307   0.9269   0.5613   0.6940   0.3355
                                    6.5       31       1.4372   0.0010   0.0071   0.1485   2.0034   1.3628   0.7995   1.0521   0.5893
                                    6.5       32       1.0885   0.0013   0.0320   0.1622   1.5924   0.8965   0.5547   0.6667   0.3916
                                    6.5       30       1.4232   0.0016   0.2069   0.1475   1.9311   1.2621   0.7511   1.0054   0.5420
                 Single beam
                                    6.5       33       1.2143   0.0015   0.2227   0.3003   1.6673   1.0085   0.4862   0.6492   0.2552
                     H-pol
                                    6.5       44       1.4047   0.0017   0.0568   0.0623   2.0463   1.2295   0.6846   0.9187   0.4512
                                    6.5       43       1.1856   0.0024   0.0637   0.2416   1.7844   0.7848   0.3373   0.4050   0.2953
                                    6.5       45       1.4375   0.0018   0.0124   0.1503   2.0171   1.4075   0.8900   1.1173   0.6919
                                    6.5       46       1.1981   0.0022   0.1176   0.2657   1.7111   0.8094   0.3591   0.4321   0.3263
                                    6.5      161       1.4963   0.0037   0.0189   0.2613   1.2669   0.4540   0.5435   0.3147   0.3428
ANT-K                               6.5      159       1.0541   0.0117   0.0144   0.4725   1.2625   0.7647   0.7660   0.6238   0.6554
                                    6.5      160       1.0042   0.0038   0.0207   0.3006   0.9987   0.5108   0.6753   0.3951   0.5013
                                    6.5      158       1.1577   0.0124   0.0588   0.3802   1.1174   0.6815   0.8000   0.5516   0.6699
                 Single beam
         Patch                      6.5      157       1.0432   0.0058   0.0695   0.2979   0.9807   0.5278   0.5911   0.3965   0.4493
                     V-pol
                                    6.5      172       1.2442   0.0095   0.0470   0.4496   1.1857   0.6751   0.8980   0.5623   0.7476
                                    6.5      174       1.2771   0.0030   0.0157   0.2951   1.0481   0.5247   0.6678   0.3971   0.4804
                                    6.5      173       0.8924   0.0082   0.0208   0.3408   0.9793   0.5774   0.6169   0.4605   0.4969
                                    6.5      171       0.8469   0.0067   0.0451   0.3382   1.0418   0.5845   0.5270   0.4576   0.4195
                                    6.5       29 161   2.3863   0.0042   0.0297   0.4589   3.1691   1.8496   1.0157   1.3226   0.4103
                                    6.5       31 159   2.3490   0.0108   0.0161   0.6667   3.6900   2.2717   1.2403   1.7190   0.9727
                                    6.5       32 160   2.3570   0.0063   0.0687   0.3680   3.0221   0.9921   0.6206   0.8575   0.4480
                                    6.5       30 158   2.6655   0.0092   0.1884   0.1346   3.4553   2.0417   1.2079   1.5677   0.7721
                 Paired beam        6.5       33 157   2.0840   0.0080   0.2034   0.5269   3.2265   1.9522   0.7418   1.3493   0.5322
                                    6.5       44 172   2.6035   0.0137   0.1066   0.6390   3.8403   1.9359   1.3156   1.4429   1.0549
                                    6.5       43 174   2.6600   0.0049   0.0993   0.6591   3.8218   1.8996   1.0532   1.3227   0.6857
                                    6.5       45 173   2.3048   0.0139   0.0306   0.5559   2.7043   1.6746   1.2098   1.2726   0.9428
                                    6.5       46 171   1.9644   0.0091   0.1211   0.6534   3.0200   1.3809   0.8344   0.9176   0.6261


3.1.3 Ant L – Patch Antenna

Table 4 shows the PD simulation evaluation of Ant L patch antenna at 39GHz for each evaluation
plane. The input power for each port is shown below.

                                     Table 4. PD of Ant L – patch antenna (39GHz)

                                                                                             M-CH
        PD Simulation              @ Operating
                  2                                                        2mm                           10mm              15mm
         (mW/cm )                 Target Tx Power
                                                          S4       S6       S1       S2       S3       S2       S3       S2       S3
                 SISO/MIMO      Target Tx                Right                                Left              Left              Left
        Patch/
                        &        Power      BEAM ID      from Bottom Front          Rear     from     Rear     from     Rear     from
        Dipole
                 Polarization    (dBm)                   Front                               Front             Front             Front
                                   6.5              36   0.0015   0.0083   0.2092   1.8037   2.4349   0.9491   1.5412   0.6687   1.1921
                                   6.5              38   0.0051   0.0031   0.1303   1.4264   1.7578   0.6569   1.1145   0.3829   0.8612
                                   6.5              37   0.0031   0.0290   0.2352   1.2767   2.1200   0.4065   0.8342   0.2113   0.4167
                                   6.5              34   0.0027   0.0297   0.2295   1.3062   1.8963   0.5279   0.9053   0.2699   0.5476
                 Single beam
                                   6.5              35   0.0035   0.0041   0.1475   1.6775   2.0769   0.8961   1.4440   0.7072   1.1395
                    H-pol
                                   6.5              48   0.0009   0.0047   0.1743   2.0605   2.3446   1.0316   1.6770   0.7238   1.3144
                                   6.5              50   0.0044   0.0050   0.1852   1.3629   1.7884   0.5460   0.9961   0.3744   0.7197
                                   6.5              47   0.0035   0.0072   0.1994   1.3623   1.8538   0.5235   0.9891   0.3610   0.7118
                                   6.5             49    0.0038   0.0437   0.0938   1.7763   1.8512   0.8571   1.4347   0.5863   1.1229
                                   6.5            162    0.0090   0.0131   0.3086   1.0727   1.1548   0.3091   0.4612   0.1995   0.3089
                                   6.5            166    0.0082   0.0129   0.3108   1.0352   1.2487   0.4172   0.4087   0.2437   0.2726
ANT-L                              6.5            164    0.0059   0.0047   0.4041   1.1712   1.0877   0.8817   0.6894   0.7545   0.5636
                                   6.5            163    0.0075   0.0034   0.3854   1.0398   0.9986   0.8227   0.7069   0.6562   0.5755
                 Single beam
         Patch                     6.5            165    0.0108   0.0140   0.3102   0.9363   0.9294   0.5780   0.4814   0.4809   0.3875
                    V-pol
                                   6.5            176    0.0065   0.0031   0.4107   1.2772   1.1863   0.8824   0.7371   0.7449   0.6190
                                   6.5            178    0.0092   0.0130   0.3154   1.0336   1.1160   0.4189   0.4087   0.2640   0.2733
                                   6.5            177    0.0097   0.0061   0.3964   1.0688   1.0087   0.8075   0.6444   0.6935   0.5420
                                   6.5          175      0.0035   0.0044   0.3261   0.9174   0.9097   0.6635   0.6051   0.5597   0.4757
                                   6.5       36 162      0.0126   0.0160   0.4450   2.3310   3.3345   1.0447   1.7042   0.7046   1.2534
                                   6.5       38 166      0.0056   0.0170   0.6428   2.9212   3.8389   1.2626   2.0131   0.7911   1.4436
                                   6.5       37 164      0.0073   0.0329   0.4334   2.3374   2.9784   1.0738   1.0858   0.8391   0.5352
                                   6.5       34 163      0.0091   0.0365   0.4843   2.2634   2.4969   0.9282   1.1948   0.6666   0.6674
                 Paired beam       6.5       35 165      0.0113   0.0362   0.5283   2.3540   3.3792   1.1261   1.8743   0.8094   1.3530
                                   6.5       48 176      0.0101   0.0126   0.5752   2.9176   3.6189   1.5248   2.2349   1.1166   1.6491
                                   6.5       50 178      0.0041   0.0249   0.7989   2.8750   4.0347   1.1212   1.8759   0.7131   1.2601
                                   6.5       47 177      0.0090   0.0237   0.4027   1.8675   2.0835   0.8938   1.0334   0.7382   0.6923
                                   6.5       49 175      0.0056   0.0540   0.6212   1.8159   3.3771   0.8784   1.8460   0.5981   1.3686


4. Uncertainty

The amplitude level of PD simulation is biased due to material property parameter configuration in
device housing at high frequencies. Material property is difficult to model due to complexity of
material and operating frequency. Therefore, it is not possible to assign an exact uncertainty for
simulation result. However, for this RF exposure evaluation, simulation results were only used to
select highest beam ID measurement. Power Density results for measurement and simulation showed
similar trend to justify selection of Beam ID used for measurement. All final power density evaluation
were performed on measurement system with uncertainty approximately 1.48dB.



Document Created: 2019-04-26 00:51:14
Document Modified: 2019-04-26 00:51:14

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