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Electromagnetic simulation

 

 

0 dB -2 dB -4 dB -6 dB -8 dB -10 dB -12 dB -14 dB -16 dB -18 dB -20 dB -22 dB -24 dB -26 dB -28 dB -30 dB -32 dB -34 dB -36 dB -38 dB -40 dB

(a) Unbalanced-fed

(b) Balanced-fed

Figure 10.7 Measured current distribution on a ground plane: (a) unbalanced feed and

(b) balanced feed.

and FIM simulators, respectively. In all cases, the current on the GP is reduced by the balanced feeding method, which is the same result as the MoM simulator.

Figure 10.9 shows the measured and simulated return-loss characteristics. The simulated result of each simulator is similar to the measured results. For the results obtained by the MoM simulator, the frequency at the lowest return loss is low in the case of the number of cells per wavelength of 10, compared to other cases. For the results obtained by the FDTD simulator, it is apparent that the calculated results show wider bandwidth than the measured results. For the results of the FEM and FIM simulators, the frequency at the lowest return loss becomes higher as the number of the total cells increases, but remains lower than the measured one.

Figure 10.10 shows the simulated return-loss characteristics of unbalanced and balanced-fed models by using the optimized conditions in all the simulators as well as the measured results. All the simulated results agree very well with the measured results in both models.

Figure 10.11 shows the simulated and measured radiation patterns. All the simulated results agree very well with the measured results, and the patterns of the unbalancedfed model are almost the same as those of the balanced-fed model. This is because a folded loop antenna has the self-balance effect and the radiation from the GP is almost suppressed. The difference in the maximum gain is below 1 dB as shown in Table 10.2.

10.3.4Simulation for characteristics of a folded loop antenna in the vicinity of human head and hand

In this section, the antenna performances in the vicinity of the human head and hand will be investigated by means of simulation, in which the human head and hand are simulated in consideration of the practical situation of an operator using a handset, and equivalent phantom models are used for the verification.

10.3 Example (balanced antennas for mobile handsets)

401

 

 

0 dB 2 dB 4 dB 6 dB 8 dB 10 dB 12 dB 14 dB 16 dB 18 dB 20 dB 22 dB 24 dB 26 dB 28 dB 30 dB 32 dB 34 dB 36 dB 38 dB 40 dB

Jsurf[A/m] 1,0000e+001

9,0452e+000 8, 4422e+000 7, 8392e+000 7, 2362e+000 6, 6332e+000 6, 0302e+000 5, 4271e+000 4, 8241e+000 4, 2211e+000 3, 6181e+000 3, 0151e+000 2, 4121e+000 1, 8090e+000 1, 2060e+000 6, 0302e+000 0, 0000e+000

A/n

10

9.69

9.06

8.44

7.81

7.19

6.56

5.94

5.31

4.69

4.06

3.44

2.81

2.19

1.56

0.938

0.313

0

(a) FDTD Method

(b) Finite Element Method

(c) Finite Integration Method

Figure 10.8 Current distribution on a ground plane simulated by each electromagnetic simulator (unbalanced-fed model): (a) FDTD Method, (b) Finite Element Method, and (c) Finite Integration Method.

10.3.4.1Structure of human head and hand

Figure 10.12 illustrates a folded loop antenna in the vicinity of the human body, where

(a)is the spherical head model, and (b) are the spherical head and hand models. The spherical head model has dielectric properties of relative permittivity of 43.37 and conductivity of 1.204 S/m at 1.9 GHz. The diameter of the head is 200 mm and the distance between the human head model and the antenna is 10 mm. The human hand model has dielectric properties of relative permittivity of 54 and conductivity of 1.45 S/m at 1.9 GHz. There is 4 mm spacing between the inner surface of hand model

402

Electromagnetic simulation

 

 

Return loss (dB)

Return loss (dB)

0

5

10

15 20

25

30 1.6

0

5

10

15 20

25

30 1.6

Mea. 10 cells 15 cells 20 cells 30 cells

1.7 1.8 1.9 2.0 2.1 Frequency (GHz)

(a) Method of Moments

Mea. 27563 cells 38873 cells 55411 cells

1.7 1.8 1.9 2.0 2.1 Frequency (GHz)

(c) Finite Element Method

Return loss (dB)

Return loss (dB)

0

5

10

15 20

25

30 1.6

0

5

10

15 20

25

30 1.6

 

 

 

 

 

 

 

 

 

 

Mea.

 

 

 

 

 

 

0.1-4 mm

 

 

 

 

 

 

0.1-2 mm

 

 

 

 

 

 

0.1-1 mm

 

 

 

 

 

 

 

 

 

 

1.7

1.8

1.9

2.0

2.1

 

Frequency (GHz)

 

 

 

 

 

(b) FDTD Method

 

 

 

 

Mea. 10 cells 20 cells 30 cells 40 cells

1.7 1.8 1.9 2.0 2.1 Frequency (GHz)

(d) Finite Integration Method

Figure 10.9 Return-loss characteristics (unbalanced-fed model): (a) Method of Moments,

(b) FDTD Method (c) Finite Element Method, and (c) Finite Integration Method.

Return loss (dB)

0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5

 

 

 

 

 

 

 

10

 

 

 

 

 

 

 

15

 

 

 

 

 

 

 

20

 

 

 

 

 

 

 

 

 

 

 

Mea.

 

 

 

 

 

 

 

 

MoM

 

 

25

 

 

 

 

FDTD

 

 

 

 

 

 

FEM

 

 

30

 

 

 

 

 

FIM

 

 

 

 

 

 

 

 

 

 

1.6

1.7

1.8

1.9

2.0

2.1

Frequency (GHz)

(a) Unbalanced-fed

Return loss (dB)

0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5

 

 

 

 

 

 

 

10

 

 

 

 

 

 

 

15

 

 

 

 

 

 

 

20

 

 

 

 

 

 

 

 

 

 

 

Mea.

 

 

 

 

 

 

 

 

MoM

 

 

25

 

 

 

 

FDTD

 

 

 

 

 

 

FEM

 

 

30

 

 

 

 

 

FIM

 

 

 

 

 

 

 

 

 

 

1.6

1.7

1.8

1.9

2.0

2.1

Frequency (GHz)

(b) Balanced-fed

Figure 10.10 Return-loss characteristics: (a) unbalanced feed and (b) balanced feed.

10.3 Example (balanced antennas for mobile handsets)

403

 

 

30°

60°

90°

120°

150°

30°

60°

90°

120°

150°

120°

150°

180°

210°

240°

0° z

5

0

5

10 15

20

15 10

5

0

5

180°

0° z

5

0

5

10 15

20

15 10

5

0

5

180°

90° y

5

0

5

10 15

20

15 10

5

0

5

270°

Eθ (Mea.)

Eθ (FDTD)

Eϕ (Mea.)

Eϕ (FDTD)

Eθ (MoM)

Eθ (FEM)

Eϕ (MoM)

Eϕ (FEM)

30°

30°

60°

60°

x

90°

90°

120°

120°

150°

150°

30°

30°

60°

60°

y

90°

90°

120°

120°

150°

150°

60°

120°

30°

150°

x

180°

0°

330° 210°

300°

240°

Eθ (FIM) Eϕ (FIM)

0° z

5

0

5

10 15

20

15 10

5 0

5

180°

0° z

5

0

5

10 15

20 15 10

5

0

5

180°

90° y

5

0

5

10 15

20

15 10

5

0

5

270°

30°

60°

x

90°

120°

150°

30°

60°

y

90°

120°

150°

60°

30°

x

0°

330°

300°

(a) Unbalanced-fed

(b) Balanced-fed

Figure 10.11 Radiation patterns in free space: (a) unbalanced feed and (b) balanced feed.

Table 10.2 Gain of a folded loop antenna (f0 = 1860 MHz)

 

 

Gain [dBi]

 

 

 

 

Method of Moments

1.43

 

FDTD Method

1.36

Unbalanced-fed

Finite Element Method

1.37

 

Finite Integration Method

2.2

 

Measured gain

1.02

 

Method of Moments

1.34

 

FDTD Method

1.76

Balanced-fed

Finite Element Method

2.05

 

Finite Integration Method

2.2

 

Measured gain

1.11

 

 

 

z

x y

Head model (Sphere)

Feed point

Loop element

D

Ground plane

h

(a)

z

xy

Head model (Sphere)

D

l

Hand model

(b)

Figure 10.12 Antenna in the vicinity of a human model: (a) antenna in the vicinity of a spherical head model and (b) antenna in the vicinity of a spherical head model and hand model.

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