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8.1 FSA (Functionally Small Antennas)

309

 

 

Points define spline curve

Optimized spline curve

Points are moving perpendicular to original curve

Original

curve

 

Boundary

 

where the

 

design is

 

restricted

Optimized

Non-

area

optimized

 

section

Figure 8.53 Shape optimization for the flare dipole; a spline is defined at points placed around the perimeter of the flare dipole arc ([33a], copyright C 2009 IEEE and [33b], copyright C 2007 IEEE).

achieved by optimizing the flare shape and employing multiple stage L-C matching circuits at its feeding port. The initial flare dipole has gain greater than 0 dBi beyond 280 MHz, but the same gain at lower frequencies around 190 MHz without affecting bandwidth is achieved by an optimized flare dipole.

To lower the resonance frequency, the outer shape curved portion is modified by optimization of the shape, taking points distributed along the circular arc to define a spline as shown in Figure 8.53, illustrating an approach for shape optimization of the flare dipole; points are placed around the arc perimeter to define a Spline.

A printed shape-optimized dipole is illustrated in Figure 8.54: (a) the photo,

(b) simulated and measured return loss, (c) measured gain for the original and optimized dipole, and (d) an enlarged version for the lower frequency regions of (c).

To match the antenna impedance, N number of two port network/stages are designed by applying the optimizing process, which is described in [33b].

More about spline-shaped UWB antennas will be described in the next section.

8.1.2.1.2.3.2 Monopole UWB antennas

The simplest monopole UWB antenna is a half-sized planar square dipole with the ground plane on the same plane. Most monopole-type UWB antennas have modified

310

Design and practice of small antennas II

 

 

dBi

10

5

0

5

10

15

20

25

Return loss

0

5

dB

10

 

 

 

15

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Measured

 

 

 

 

20

 

 

 

 

Simulated with HFSS

 

 

 

0.2

 

0.4

0.6

 

0.8

1.0

 

 

 

 

 

 

 

 

 

 

 

 

 

GHz

 

 

 

 

(a)

 

 

 

 

 

(b)

 

 

 

 

 

Measured gain

 

 

1

 

Measured gain

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

 

 

dBi

2

 

 

 

 

 

 

 

 

 

 

 

90 MHz

 

 

 

 

 

 

 

3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Shape optimized

 

4

 

 

Shape optimized

 

 

 

 

 

 

 

 

 

 

Original flare dipole

 

5

 

 

Original flare dipole

0.2

0.4

0.6

0.8

1.0

0.18

0.21

0.24

0.27

0.30

0.15

 

 

GHz

 

 

 

 

GHz

 

 

 

 

 

(c)

 

 

 

 

(d)

 

 

 

Figure 8.54 (a) Printed shape optimized flare dipole, (b) simulated and measured return loss of the optimized dipole, (c) measured gain of the original and optimized dipole, and (d) expanded version of (c) around 0.2 GHz. ([33], copyright C 2009 IEEE).

shape, that is, the patch sides are modified to attain longer current paths, and the number of current paths increases so as to achieve multiple resonances beginning from lower frequencies, and consequently produce wideband behavior. The representative ones are illustrated in Figure 8.55, where (a) and (b) are a beveled square patch [34], (c) a patch with binomial curve [35], (d) with staircase-profile [36], and (e) with spline-shape [38].

8.1 FSA (Functionally Small Antennas)

311

 

 

(a)

(b)

(c)

(d)

(e)

Figure 8.55 Various planar monopole antennas.

Most monopole UWB antennas have planar structure and are placed on the same plane with the reduced-size ground plane that allows reduction of total size (volume) of the antenna and makes integration of an antenna into electronic devices easy.

8.1.2.1.2.3.2.1 Binomial-curved patch antenna

The edge curve of a printed patch modified in shape according to the binomial function is introduced in [35]. Antenna geometry is illustrated along with geometrical parameters in Figure 8.56. The curved boundary as a function of the coordinates (x, y) is expressed by

y = f (x) = G + (x/2w)N

(8.1)

where G is the gap between the patch and the ground plane, w is the width of the top side of the patch, is the length of the patch, and N is the order of the binomial function. As N increases from unity toward infinity, the shape varies from triangular to nearly rectangular. By parametric analysis, it was found that the optimum values for G and N are 0.45 mm and 4, respectively, with other parameters fixed; w = 30 mm,

312

Design and practice of small antennas II

 

 

y

w

E(w/2,)

G

x

 

L

 

W

Figure 8.56 Geometry of the planar binomial-curved monopole antenna ([34], copyright C 2010 IEEE).

 

0

 

 

 

 

 

 

 

 

 

loss (dB)

10

 

 

 

 

 

 

 

 

 

20

 

 

 

 

 

 

 

 

 

Return

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

N = 1

 

 

 

 

 

 

 

 

 

N = 2

 

30

 

 

 

 

 

 

 

N = 3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

N = 4

 

 

 

 

 

 

 

 

 

 

N = 5

 

 

40

 

 

 

 

 

 

 

N = 6

 

 

3

4

5

6

7

8

9

10

11

 

2

Frequency (GHz)

Figure 8.57 Simulated return loss of the antenna with different N ([35], copyright C 2008 IEEE).

= 20 mm, W = 46 mm, and L = 50 mm. With these parameters, the widest 10-dB return loss bandwidth obtained by simulation was from 2.7 GHz to 11 GHz, while from 2.59 to 10.97 GHz by measurement. Simulated return loss is shown in Figure 8.57. The measured peak (average) gain for the frequencies 3.1, 5.0, and 8.0 GHz, respectively, are –0.88 (–3.65), –2.36 (4.51), and 1.54 (–2.1) (all in dBi).

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