Research Article | Open Access

K. P. Ray, "Design Aspects of Printed Monopole Antennas for Ultra-Wide Band Applications", *International Journal of Antennas and Propagation*, vol. 2008, Article ID 713858, 8 pages, 2008. https://doi.org/10.1155/2008/713858

# Design Aspects of Printed Monopole Antennas for Ultra-Wide Band Applications

**Academic Editor:**Hans G. Schantz

#### Abstract

This paper presents the design equations for lower band-edge frequency for all the regular shapes of printed monopole antennas with various feed positions. The length of the feed transmission line is a critical design parameter of these monopole antennas. Design curves for the length of the feed transmission line for various lower band-edge frequencies for all these regular shaped monopoles have been generated. A systematic study has been presented to explain the ultra-wide bandwidth obtained from these antennas with an example of elliptical monopole antenna.

#### 1. Introduction

Present time is witnessing a very rapid growth of wireless communications,for which antennas with very large bandwidth are in strong demand,so that various applications are covered with fewer or preferably with a single antenna. It will be preferred that an antenna has bandwidth in excess of frequency range from 800 MHz to 11 GHz or even more, to include all the existing wireless communication systems such as AMPC800, GSM900, GSM1800, PCS1900, WCDMA/UMTS (3G), 2.45/5.2/5.8-GHz-ISM, U-NII, DECT, WLANs, European Hiper LAN I, II, and UWB (3.1–10.6 GHz) [1]. Out of all the above-mentioned wireless systems, ultra-wide bandwidth (UWB) wireless technology is most sought for very high-data-rate and short-range wireless communication systems, coding for security and low probability of interception, rejection of multipath effect, modern radar systems, and so forth. As mentioned above, this technology uses ultra-wide bandwidth of 7.5 GHz, ranging from 3.1 GHz to 10.6 GHz.

Planar and printed monopole antennas are the good candidates for use in UWB wireless technology because of their wide impedance bandwidth and nearly omni-directional azumuthal radiation pattern. Many shapes of planar, also known as planar disc, monopole antennas are reported, which yield very large bandwidth [2–8]. Some of these reported configurations have bandwidth in excess of that required for UWB applications [3]. But, the planar disc configurations are not the most preferred one for these applications, because they are generally mounted on large ground plane, which are perpendicular to the plane of monopole (which makes them three-dimensional structure). Also, the large size ground plane limits the radiation pattern to only half hemisphere. On the other hand, printed monopole antennas (PMAs) are truly planar and have radiation patterns similar to that of a dipole antenna. These monopoles can be integrated with other components on printed circuit board, have reduced size on dielectric substrate, are without backing ground plane and are easy to fabricate. Printed antennas, commonly fabricated on FR4 substrate, are very cost effective, which is ideally suited for UWB technology-based low-cost systems [9–18].

In this paper, design of all the regular geometries of PMA with various feed positions is discussed. Formulae to calculate the lower band-edge frequency for all these printed monopoles are presented. For various feed configurations, frequency-dependent design curves have been generated for 50 Ω microstrip feed line, which yields maximum bandwidth for a given lower band-edge frequency. These design curves, which cover the lower band-edge frequency of 3.1 GHz for UWB applications, are also valid for coplanar feed lines. A systematic study is presented to explain as to how bandwidth increases with increase in lateral dimension of patch giving the example of an elliptical geometry. The theoretical study of all the configurations has been carried out using HP high-frequency structure simulator (HP HFSS) [19]. All these results are validated with experiments and reported data.

#### 2. Design Considerations of Antennas for UWB Technology

Some of the main features required for antennas for the application of UWB technology are as follows.

(i)It should have bandwidth ranging from 3.1 GHz to 10.6 GHz in which reasonable efficiency and satisfactory omnidirectional radiation patterns are necessary.(ii)In this ultra-wide bandwidth, an extremely low-emission power level should be ensured. In 2002, the Federal Communication Commission (FCC) has specified the emission limits of dBm/MHz.(iii)The antenna propagates short-pulse signal with minimum distortion over the frequency range. The first point is the most important one for antenna designers, which translates into the requirement that antenna should have impedance bandwidth ratio of over which . Such a high impedance bandwidth is only realised using multiresonance printed monopole antenna, which generally exhibit high pass impedance characteristics. For such broadband antenna, unlike single resonance tuned dipole or monopole antennas, some special design considerations have to be taken into account. Instead of resonance or operating frequency, lower band-edge frequency and total bandwidth achieved become the design parameters for these printed monopole antennas. The lower band-edge frequency depends primarily on maximum height of the monopole, whereas bandwidth of the antenna depends on how impedance of various modes is matched with the microstrip or coplanar feed line. These parameters are discussed in details for all the regular geometries of printed monopole antennas.

#### 3. Printed Monopole Antenna Design

The printed monopole antennas give very large impedance bandwidth with reasonably good radiation pattern in azumuthal plane, which can be explained in the following two ways. The printed monopole antenna can be viewed as a special case of microstrip antenna configuration, wherein the backing ground plane is located at infinity [7]. A patch is fabricated on dielectric substrate (commonly FR4). Beyond the substrate it can be assumed that a very thick air dielectric substrate exists. It makes a microstrip antenna configuration on a thick substrate with closer to unity, which yields large bandwidth.

Alternatively, printed monopole antennas can be seen as a vertical monopole antenna. A monopole antenna usually consists of a vertical cylindrical wire mounted over the ground plane, whose bandwidth increases with increase in its diameter. A printed monopole antenna can be equated to a cylindrical monopole antenna with large effective diameter. This second analogy has been used to determine the lower band-edge frequency of all regular shapes of printed monopole antennas for various feed configurations.

#### 4. Lower Band-Edge Frequency of Printed Monopole Antennas

Various regular shaped printed monopole antennas such as printed square monopole antenna (PSMA), printed rectangular monopole antenna (PRMA), printed hexagonal monopole antenna (PHMA), printed triangular monopole antenna (PTMA), printed circular monopole antenna (PCMA), and printed elliptical monopole antenna (PEMA) for different feed positions are shown in Figure 1. For different feed locations, the suffix 1 or 2, as shown in Figure 1, are put for these monopole antennas. These antennas are generally fabricated on FR4 substrate with backing ground plane removed. For patch dimensions, to cover the lower band-edge frequency of around 900 MHz, the maximum dimension of the substrate is taken as 9 cm × 9 cm, which becomes almost half when the lower band-edge frequency is doubled [9]. These patches can be fed by 50 Ω microstrip line or by coplanar waveguide. For both these cases, the optimum width of the backside ground plane in the case of microstrip feed or coplanar ground plane is 1 cm. These data are verified through simulation for all the configurations shown in Figure 1.

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To estimate the lower band-edge frequency of printed monopole antennas, the standard formulation given for cylindrical monopole antenna can be used with suitable modification [3]. The equation was worked out for the planar monopole antennas. If is the height of the planar monopole antenna in cm, which is taken same as that of an equivalent cylindrical monopole, and in cm is the effective radius of the equivalent cylindrical monopole antenna, which is determined by equating area of the planar and cylindrical monopole antennas, then the lower band-edge frequency is given as [3] where is the length of the 50 Ω feed line in cm.Unlike the planar disc monopole antennas, the printed configuration has dielectric layer on one side of the monopole. This dielectric material increases the effective dimensions of the monopole leading to reduction in the lower band-edge frequency. This is also confirmed by simulation studies. Hence, more appropriate equation for the lower band-edge frequency is given as With reference to various configurations in Figure 1, and are calculated as follows.

If is the side length of the PSMA, then For PRMA, if and , then For PTMA, if the side length is , then the values of and of the effective cylindrical monopole are determined for both PTMA1 and PTMA2 as Similarly, for the PHMA with side length , the and values of the equivalent cylindrical monopole antenna are obtained by equating their areas as follows: For PCMA with radius , values of and of the equivalent cylindrical monopole antenna are given by and .

Finally, for PEMA with semimajor and semiminor ,the and of the effective cylindrical monopole are determined as

As discussed earlier, PMA can be thought of as a variation of microstrip antenna, in which the ground plane is considered to be located at infinity. Following this analogy, the factor in (2) can be thought of as having similar significance as . For commonly used FR4 substrate with and cm, the empirical value of estimates lower band-edge frequency within 10%. Equation (2) with has been validated for various reported PMA configurations. For example, a PRMA with dimension cm, cm, and cm with in [16] has measured value of GHz, whereas (2) yields the value of 1.77 GHz. For second reported PRMA with dimension cm, cm, and cm with , simulated is 4.22 GHz [17], against the calculated value of 4.199 GHz using (2). Similarly, the values of frequency calculated using (2) with for PEMA tally very well with measured values reported in [12, 13]. For the dimension mm, mm, and mm in [12], the reported measured value of frequency is 3.17 GHz, whereas (2) yields the value of 3.206 GHz. The reported measured value of frequency for the dimension of mm, mm, and mm is 2.7 GHz [13], against the calculated value of 2.664 GHz using (2). Thus, (2) provides starting point for the design of PMAs.

Another important parameter, which decides the lower band-edge frequency as shown in (2), is the length of 50 Ω feed line . This feed probe length, the bottom contour of the printed monopole patch and the ground plane, three together form the impedance matching network at multiple adjacent resonances of the patch simultaneously. This leads to an increase in bandwidth. Therefore, for different bottom shapes of the patches, the feed length will be different. Based on this criterion, the various regular shaped patches have been grouped in three categories in Figure 1. In Figure 1(a), the feed transmission line sees abrupt straight edge of the patch shape like PSMA, PRMAs, PTMA, and PHMA. Second category, as shown in Figure 1(b), consists of patches like PCMA and PEMAs having smooth transition between transmission line and the curved bottom of the patch. In the third category, as shown in Figure 1(c), transition takes place through bottom corner of the patch and feed transmission line. The value of , for lower band-edge frequency with maximum bandwidth, for these three categories has been discussed here.

To generate design data for the 50 Ω feed line length , for different , to obtain maximum bandwidth for all the PMAs under three categories were designed using (2) for various values of starting from 0.5 GHz to 3.1 GHz. This frequency range covers lower band-edge frequency of all the communication channels including that of UWB technology. The value of for each case for every printed configuration has been optimised to obtain maximum bandwidth using HP HFSS software. The optimised value of , for given and maximum bandwidth, is almost same for all the five configurations under category of Figure 1(a). These values of versus are plotted in Figure 2. For maximum bandwidth, when increases from 0.5 GHz to 3.1 GHz, the value of decreases from 12 mm to about 0.7 mm. Though these five configurations were optimised for maximum bandwidth, the highest bandwidth ratio obtained was around . This is a relatively moderate bandwidth ratio, which is attributed to the discontinuity at the junction of a feed point, where the feed line abruptly gets truncated by a straight base of the PMAs. Figure 3 shows the variation of with for the second category of PMAs, which includes PCMA and both PEMAs as shown in Figure 1(b). For this case also, as increases, feed length reduces, but magnitude of is an order less as compared to that of PMAs under the first category. Here, when increases from 0.5 GHz to 3.1 GHz, the value of decreases from 1.8 mm to about 0.12 mm. These design curves on are validated with measurements and reported results. The optimum value of mm reported for PCMA at GHz is exactly same as read from Figure 3 [9]. This category of PMAs gives maximum bandwidth. The three PMAs under third categories, that is, vertex fed PMAs, as shown in Figure 1(c), did not exhibit same behaviour with respect to one another. However, for some cases, the value of versus is closer to those of PMAs under second categories than those of first categories. The values of as shown in Figures 2 and 3 are for the microstrip feed which has been found exactly the same for coplanar waveguide feed as well.

#### 5. Ultra-Wide Bandwidth of a PEMA

The PMA, as discussed earlier, is viewed as an equivalent thick cylindrical monopole antenna. In the radiating metallic patch, various higher order modes get excited. With optimum feed and increased lateral dimension (i.e., larger width of the patch) all the modes will have larger bandwidth, hence will undergo smaller impedance variation. The shape and size of these planar antennas can be optimised to bring in impedance of all the modes within circle in the Smith chart, leading to very large impedance bandwidth. This has been demonstrated taking the example of PEMA.

The PEMAs were designed on FR4 substrate for GHz. The value of for this as read from Figure 3 is 1 mm.The height of the PEMA is kept fixed at cm so that the remains almost the same.To bring out the variation of input impedance and hence the bandwidth with increased lateral dimension of PEMA,four different values of were chosen as 1 cm, 2 cm, 4 cm, and finally 5.2 cm.These configurations are shown in Figure 4.These four PEMAs were analysed using HP HFSS software up to the maximum frequency range of 5 GHz. These results in the form of impedance loci in Smith chart and corresponding return loss plots are shown in Figure 5. It is noted from Smith chart in Figure 5(a) that for cm, the PEMA behaves as a thin strip monopole antenna, which is equivalent to thin wire monopole. Here, impedance variation around and in between various loops, which indicates different modes of the elliptical patch, is large, leading to very less impedance bandwidth. As increases, the impedance variation around and in between various modes reduces, bringing smaller loops closer to each other yielding increased bandwidth. This effect is clearly seen in impedance loci plots of Figures 5(b) to 5(d) for cm to 5.2 cm. The increased bandwidth can be read from the corresponding return loss plot of Figure 5(e). For cm, all the loops curl around the centre of the Smith chart, bringing them inside circle. This leads to increase in bandwidth beyond 5 GHz. For the fourth case of cm and cm, the PEMA was analysed up to 16 GHz.

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For this optimised configuration of PEMA, the simulated surface current distributions at four frequencies are shown in Figure 6. Figure 6(a) shows the current distribution on the patch near the first resonance at 1 GHz. The current is distributed mainly along the edges and the feed point. Along the periphery of the PEMA, there is one half-cycle variation of current, which indicated the fundamental mode. On the ground plane, the current is distributed mainly on the upper edge. This explains the importance of an optimised dimension of the ground plane. The current distribution at 3 GHz has three times more variation as that at 1 GHz. Similarly, current distribution at 5 and 7 GHz is also shown in Figure 6. With increase in frequency, the current distribution has more half-cycle variations but with reduced amplitude and confines to the outer boundaries of the patch. The gain and efficiency of this antenna is plotted in Figure 7. The value of gain increases linearly and then saturates, while the efficiency decreases from 100% to approximately 80% for the frequency range from 1 GHz to 15 GHz. The gain increases from 1.84 dB to around 7.7 dB for the variation of frequency from 1 GHz to 6 GHz because of increase in effective area with frequency. Later, the increase is only approximately 0.5 dB for 6 to 15 GHz because of decreased efficiency. There is less current variation and hence impedance variation between various modes of the PEMA, which also leads to partial filling of nulls in the radiation pattern at higher order modes. Therefore, in complete bandwidth, the elevation and azumuthal radiation patterns remain qualitatively similar to that of the cylindrical monopole antenna. At lower frequencies, azimuthal radiation patterns are close to omni-directional, whereas in elevation it is a figure of eight because of the very small ground plane.At higher frequencies, radiation patterns in both the planes remain similar to those at lower frequencies with more variations in the elevation plane. Moreover, these PMAs being asymmetrical configurations in two perpendicular planes, perfect omni-directional azumuthal radiation pattern is not achieved and also cross-polar levels are high. Cross-polar levels are approximately 15 dB down as compared to corresponding copolar levels at lower frequencies, which become only around 5 dB down at highest frequency of the bandwidth. The configuration was fabricated and tested for the bandwidth. Simulated and measured plots are compared in Figure 8. There is good agreement between the two plots. The measured bandwidth is from 1.1 GHz to 13.5 GHz against the simulated bandwidth of 1.06 GHz to 14.1 GHz.

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#### 6. Conclusion

Multiresonance printed monopole antennas are being used increasingly for applications of UWB technology because of their attractive features. Some of the design aspects of these antennas have been discussed in this paper. A systematic study has been presented to explain ultra-wide impedance bandwidth obtained from an elliptical monopole antenna.

#### Acknowledgments

The author would like to acknowledge the help received from Y. Ranga, S. Tewari, M. D. Pandey, and M. K. D. Ulaganathan.

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#### Copyright

Copyright © 2008 K. P. Ray. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.