From: Subject: M3KXZ 2-Element Vertical Phased Array Date: Sat, 3 Nov 2007 12:19:01 -0000 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01C81E13.B77D4030" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.3198 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01C81E13.B77D4030 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.cebik.com/wire/m3kxz.html M3KXZ 2-Element Vertical Phased Array

The M3KXZ 2-Element Vertical Phased Array

L. B. Cebik, W4RNL


In July, 2006, Pete Millis, M3KXZ, published to the internet an array = of 2=20 vertical antennas that he calls "'No-counterpoise' antenna: 2-element = phased=20 array." You can find his article at htt= p://www.outsideshack.com/no_counterpoise_phased_array.pdf.=20 The latest incarnation follows a 1-element version of the antenna.=20

The antenna is interesting in several respects. First, it uses a very = simple=20 structure and common materials that you can obtain from Radio Shack and = hardware=20 sources. Pete uses speaker wire and PVC supports for the vertical = elements.=20 Perhaps the only specialized antenna items are the baluns that he winds = on=20 ferrite cores and the encased 4:1 balun he uses at the center of the = 2-element=20 version of his array. However, we shall have occasion to evaluate the = need for=20 these items as we look into the antenna.=20

The second significant aspect of the antenna is its performance. A = single=20 element length covers a spread of bands, for example, 20 meters to 6 = meters=20 using a total length of 25'. The normal limit for either a = 1/4-wavelength=20 monopole or a 1/2-wavelength dipole is about 2.5:1, which would suggest = a=20 cut-off of about 35-36 MHz, if the original antenna is cut for 14 MHz. = Once a=20 monopole exceeds about 5/8-wavelength or a dipole exceeds = 1-1/4-wavelengths, the=20 main radiation is no longer broadside to the wire. For a vertical = antenna, the=20 long lengths result in very high angle radiation, rather than the low = angle=20 radiation that we normally need. However, the M3KXZ antenna and array = yield very=20 usable patterns from 20 through 6 meters. In addition, the gain of the = antenna=20 is close to the gain available from either vertical dipole/doublets or = from=20 elevated monopoles with radials on all bands.=20

For these reasons, it seems that the antenna in both its 1-element = and=20 2-element versions deserves a closer look, if only to understand its = operation=20 better. As well, if one wanted to replicate his antenna using different=20 materials, we shall need to look at some of the pieces in his = arrangement.=20

A Frame of Reference=20

As a basic for evaluating the behavior and performance of the M3KXZ = antenna=20 and array, let's first catalog comparable data for a more familiar = antenna, the=20 straight vertical wire element. Since we shall look at the 20-6-meter = version of=20 the M3KXZ antenna, we may cut the wire for 20 meters. We shall use AWG = #12=20 copper wire and place the lower end 1' above the ground, the height that = we=20 shall use for the other elements. However, a straight wire that is = vertical=20 requires a top height of 34.6'. For our basic work, we shall use average = ground=20 as the soil throughout.=20

We have 3 choices for feeding our vertical wire. We might select the = center,=20 which would be natural for a 1/2-wavelength dipole. Of course, the wire = becomes=20 a doublet as the length grows longer than 1/2-wavelength and the current = peak=20 and voltage minimum no longer occur at the center of its length. = Alternatively,=20 we might select a feedpoint based on the M3KXZ design, that is, a = position 2/3=20 of the distance down from the antenna top, considering the 12.5' fold = back in=20 the M3KXZ design as the lower 1/3 of the antenna. Finally, we might = place the=20 feedpoint at the lower end of the antenna.=20

Table 1 summaries some of the key performance data for each of = the=20 three versions of the vertical wire at the center of all amateur bands = from 20=20 through 6 meters.=20

As we would expect, the feedpoint impedance values (Feed R and Feed = X) differ=20 widely among the antenna versions. More significant for eventual = comparative=20 purposes is the performance of each version. None of the three can = sustain a low=20 elevation angle for the main radiation lobe across the range of bands = covered by=20 the survey. Moreover, we find differences within each band depending on = the=20 feedpoint position, and the differences involve more than small changes = in the=20 maximum gain. For an example, we may use 24.94 MHz. The center-fed = version=20 produces a main lobe at 13 degrees elevation. The off-center-fed = version's main=20 lobe is at 40 degrees, while the end or bottom-fed version main lobe is = at 39=20 degrees elevation.=20

The radiation pattern differences result from differences in the = current=20 magnitude distribution along the wire on this band--and on any other = band where=20 the wire is longer than 1/2 wavelength. Fig. 1 shows the = differences that=20 occur on 12 meters. Most evident is that the current minimum occurs ever = lower=20 on the structure as we move from center feeding to bottom-end feeding. = As well,=20 but to a lesser degree, the differences in the current curve between the = off-center-fed and the end-fed version play a role in the ultimate shape = and=20 strength of the pattern lobes for the vertical wire.=20

Only the center-fed version of the straight wire doublet manages to = cover 20=20 through 10 meters with the man lobe at a low elevation angle. The other = versions=20 give way to having their main lobes at higher and generally undesired = elevation=20 angles well under 10 meters. Despite our interest in the radiation = patterns, we=20 shall also discover that the impedance columns of Table 1 will = hold=20 importance as we attempt to see what lies behind the behavior of the = M3KXZ=20 antenna.=20

Some M3KXZ Antenna Basics=20

The full 2-element array appears in Fig. 2 in outline form. I = have=20 selected the 20-6-meter version for a detailed look. A single-element = version of=20 the antenna would simply omit the second element and the two phase-lines = marked=20 TL1 and TL2.=20

In modeling the antenna, I departed from the original, which uses = speaker=20 wire. To yield adequate models, I spaced the AWG #12 copper wires 1" = apart in=20 the lower half. Parallel wires at this separation have a = transmission-line=20 impedance of about 400-450 Ohms. Although I have seen no tests of = insulated=20 speaker wires, the characteristic impedance of a pair is likely to fall = into the=20 75-100-Ohm range, due to both the spacing and the relative permittivity=20 (dielectric constant) of the insulation between them. In addition, Pete = twines=20 the wire along a length of PVC for support, but without introducing any=20 significant inductance. Although we can view his elements as essentially = straight, we should understand at the outset that all models will be = only=20 approximations of his antenna.=20

We should also enter a modeling caution to those who may wish to = replicate=20 the models used in this study. The separation between the long and the = short=20 sections of the element is 1". Although one would normally use 1" = segment=20 lengths for the remainder of the model, there is a different overriding=20 consideration. Very closely spaced wires in NEC are subject to errors, = even when=20 we precisely align the segment junctions. In order to obtain a fair set = of=20 comparisons between the M3KXZ element and the straight wire element, it = is=20 necessary to adjust the segmentation to obtain an average gain test = (AGT) score=20 that is as close to 1.00 as may be feasible. For the models used here, = 120=20 segments in the long section and 60 segments in the short section = produced an=20 AGT score of 1.004, indicating that gain and impedance values will be = very much=20 on a par with those drawn from the straight wire element with its = essentially=20 perfect AGT score. AGT values below near-perfect will yield low gain and = high=20 impedance reports, while AGT scores above near perfect will yield values = that=20 are too high for the gain and too low for the impedance. For very = closely spaced=20 wires, the segmentation density alone is enough to yield gain values up = to 1.5=20 dB off the mark. Hence, close attention of the model's AGT score is = essential,=20 especially when comparing the performance of models have different = geometries.=20

Before we turn to the full phased array, let's see what we might = obtain from=20 a single M3KXZ element. Table 2 lists the NEC-4 reports from the = model,=20 which places the 25' element at a height of 1' above ground. I placed = the=20 antenna over a range of soils from very good to very poor in order to = determine=20 if the soil quality had a significant bearing on performance, given the = close=20 proximity of ground to the lower end of the element.=20

If we examine the gain and TO angle columns of Table 2 under = average=20 soil, we discover that on all bands through 10 meters, the M3KXZ element = yields=20 competitive gain values and TO angles that are only slightly worse than = those we=20 gather from the center-fed straight wire. The M3KXZ element TO values = are=20 slightly higher largely because the top height is about 30% lower than = the top=20 height of the center-fed doublet. Nonetheless, all of the TO angles = shown in the=20 table are suitably low, although they do vary with the ground quality.=20

There is an incidental but interesting pattern to note. We normally = think of=20 ground losses as increasing as soil quality decreases so that as we move = toward=20 bad soils, the gain of a vertical element decreases. However, this = thinking has=20 a frequency limit. The old thinking applies in small amounts from 20 = through 15=20 meters. However, on 12 meters, maximum gain occurs over average soil. = Above 12=20 meters, maximum gain occurs over very poor soil. The trend reversal is=20 accompanied by a shrinkage in the differential in gain as we change = soil, but=20 the reversal is quite real.=20

Soil quality changes do not make a large difference in the feedpoint=20 impedance at the antenna base, where the short and the long wires meet. = However,=20 the range of feedpoint impedances is considerable. Hence, the use of a = coaxial=20 cable between the antenna base and the antenna tuner may prove a = considerable=20 loss source unless the length is very short. With the possible exception = of 10=20 meters, all of the impedances fall within the easily matched range of a = remote=20 antenna tuner place at the element feedpoint. Otherwise, the use of = parallel=20 feedline--suitably elevated from the ground to prevent unwanted = coupling--may be=20 necessary. However, the very low impedance on 20 meters may incur some = losses=20 even with parallel feedlines.=20

Fig. 3 provides a gallery of elevation and azimuth patterns = for the=20 bands covered by the array. Although the azimuth patterns all appear to = be quite=20 circular, note the shifting angle of the line that indicates the bearing = of=20 maximum gain. Any antenna with a fold-back--including the well-known=20 J-pole--will exhibit at least a slight pattern distortion due to = radiation from=20 the two wires in the fold-back region. The closer that we space the = wires, the=20 less will be the distortion, and with the 1" spacing, the differential = is never=20 more than about 0.03 dB. However, as the shifting line bearings show, = the=20 distortion will change a bit from one band to the next. The fact is not=20 operationally significant, but will prompt some further investigation.=20

The elevation patterns reveal one of the most essential aspects of = the=20 antenna's performance, the well-behaved radiation at low angles with = very little=20 higher-angle radiation until we reach 52 MHz. At the upper limit of the=20 operating spectrum, the second elevation lobe nearly equals the gain of = the=20 lower lobe over average ground, and over very good soil, the second lobe = at an=20 angle of 50 degrees is actually stronger. However, the low-angle gain = remains=20 serviceable. For comparison, a straight vertical dipole fed 1/3rd of the = way up=20 its length shows a considerable upper-angle lobe on 15 meters, and at 12 = and 10=20 meters, the higher second lobe dominates the pattern.=20

The well-behaved patterns are one of the effects of the 12.5' = fold-back. That=20 fold-back is not just a convenient way of feeding the antenna at a point = 1/3 of=20 its total length (25' plus 12.5'). For example, if we feed a 20-meter = vertical=20 dipole at the 1/3rd point, we obtain resistance values ranging from 100 = to 3100=20 Ohms, and reactance values from -600 to +700 Ohms. The values shown in = Table=20 2 are far tamer than they are for an off-center-fed straight = dipole--or for=20 any of the other versions of the straight-wire element in Table = 1.=20

In fact, the fold-back forms a transmission line section that is = 12.5' long.=20 Whatever impedance appears at the junction of the single-wire top = section and=20 the beginning of the double-wire section undergoes a transformation = according to=20 the electrical length of the double section and its characteristic = impedance.=20 Note once more that modeling requirements have dictated a 1" spacing, = and that=20 the characteristic impedance is not the same as it would be for the = speaker=20 wire. Hence, the impedance numbers in Table 2 are only = representative. As=20 well, they do not account for the transmission-line velocity factor of = the=20 insulated speaker wires used in the original.=20

Fig. 4 presents a collection of current magnitude distribution = graphs=20 taken from the EZNEC models. At the far right, I have expanded the = 20-meter=20 graph in order to show that the current magnitude undergoes a small but=20 noticeable shift at the point where the top single wire meets the = double-wire=20 section. The jog indicates that below the junction, the graph is showing = a=20 combination of both radiation and transmission-line currents.=20

The remainder of the current magnitude graphs show that we should not = try to=20 apply a simplistic J-pole or end-fed Zepp model to the situation. As the = patterns show, the junction between the top and bottom sections does not = occur=20 at a maximum voltage, minimum current point on any band. As well, the=20 double-line length is not 1/4-wavelength on any band, although it comes = close on=20 10 meters. Therefore, the impedance transformation differs for each band = in=20 terms of both the impedance at the section junction and the amount of=20 transformation that occurs in the lower section. One might use a number = of means=20 to roughly calculate the start and end values for the transformation, = but given=20 the higher characteristic impedance in the model relative to the speaker = wire=20 used in the original, such an exercise might prove to be operationally = useless.=20 For any given installation, the most practical effort is to measure the=20 impedance at the feedpoint for every planned frequency of operation.=20

One consequence of the lower double-wire or transmission-line section = is that=20 the dominant radiation currents do not follow the patterns that they = would in a=20 straight dipole/doublet, whatever the feedpoint. Hence, M3KXZ has found=20 essentially an antenna designer's grail or silver bullet: an arrangement = of=20 wires that extends the range of desirable pattern formation beyond its = normal=20 limits while sustaining good gain for an antenna of its type and leaving = quite=20 workable feedpoint impedance values.=20

The 2-Element M3KXZ Phased Array=20

The 2-element version of the M3KXZ antenna, shown in Fig. 2, = consists=20 of 2 elements connected by equal lengths of a transmission line, with a = common=20 junction for connection to the main feedline. For the 25' version of the = antenna, intended to cover 20 through 6 meters, the spacing between = elements is=20 10'. The spacing is not accidental, since at 52 MHz, it represent about=20 0.53-wavelength, the maximum that we would wish to space phase-fed = elements.=20

Since we shall ultimately feed the antenna at a center point between = the two=20 elements, we have two choices of phasing. We may connect the two lines = so that=20 each long-section wire goes to the same side of the junction for = in-phase=20 feeding. Alternatively, we may give one (and only one) of the two lines = a half=20 twist so that connections to long-section wires go to opposite junction = points=20 and thus end up with out-of-phase feeding. The original design used = plugs and=20 jacks at the center junction box to allow a quick reversal of the = junction=20 connections. A remote switch might achieve the same goal with control=20 transferred to the equipment location. Fig. 5 shows the = differences in=20 the current distribution curves that result from the alternative = feedpoint=20 connections.=20

In-phase feeding of the two elements results in a broadside azimuth = pattern=20 relative to the plane of the two elements, comparable to the patterns = that we=20 obtain from converting a lazy-H into a standing-H. The gain yielded by = the=20 pattern over the gain of a single element is a function of the narrowing = beamwidth in the plane of the array. The elevation pattern is not = materially=20 affected by the dual feed. How much gain increase and beamwidth = reduction we=20 obtain is a function of the spacing between the elements measured in = wavelengths=20 at the frequency of operation. Gain increases slowly from virtually=20 single-element performance at very close spacing to maximum with a = spacing that=20 is just over 0.5-wavelength. With an exact 0.5-wavelength spacing, the = azimuth=20 pattern is a perfect figure-8. Gain continues to increase with slightly = wider=20 spacing, but small sidelobes develop in the plane of the elements. Above = about=20 0.55-wavelength spacing, the sidelobes grow so fast that the gain = broadside to=20 the antenna decreases.=20

Fig. 6 provides a gallery of elevation and azimuth patterns = for the=20 model of the 25' M3KXZ array with the 10' spacing between elements. Note = that=20 the elevation patterns, taken broadside to the plane of the two = elements, do not=20 differ significantly from the single-element elevation patterns. The = azimuth=20 patterns do not show relative gain values. Instead, each pattern uses = the outer=20 ring as the pattern limit to reveal more clearly the pattern shapes. If = we look=20 at the azimuth pattern for 52 MHz, we can see the beginnings of the = sidelobes=20 that develop as a result of the 0.53-wavelength spacing between = elements.=20 However, at lower frequencies, the spacing between elements is = considerably less=20 than the 0.5-wavelength ideal. As a results, as we move down in = frequency, the=20 patterns become more circular, indicating both broader beamwidth values = and=20 lower gain values. At 20 meters, where the spacing is only about=20 0.14-wavelength, we should expect--and we obtain--very little gain = increase over=20 a single element.=20

Table 3 provides 2 sets of performance values, both sets taken = over=20 average ground. The left-most columns give the modeled gain and TO angle = for the=20 patterns in Fig. 6. You may compare these values to the values = obtain for=20 a single M3KXZ elements over average ground in Table 2. At 20 = meters, the=20 gain advantage only about 0.6 dB due to the close spacing of the = in-phase-fed=20 elements. At 10 meters, the gain advantage of the 2-element array = increases to=20 about 1.9 dB as the spacing increases to nearly 0.3-wavelength. At the = more=20 nearly ideal spacing on 6 meters, the gain advantage jumps to about 4.4 = dB, with=20 a commensurate decrease in the beamwidth of the two broadside lobes.=20

The table's center columns provide modeled values for the performance = of the=20 array when fed out-of-phase by giving one of the two equal-length lines = a single=20 half-twist. The method of feeding is a simple evolution from the W8JK = array that=20 we usually see in horizontal form. The same principles apply. The = antenna=20 becomes a bi-directional endfire array with the main radiation in the = plane of=20 the elements. Fig. 7 provides a gallery of elevation and azimuth = patterns=20 as they apply to out-of-phase feeding of the two elements with their 10' = spacing. The elevation patterns are taken in the plane of the elements.=20

Except for the 52-MHz plot, the azimuth patterns all show comparable=20 beamwidths. If we compare the out-of-phase gain values to the in-phase = values,=20 we find a sudden jump and a leveling off, so that we show only a slow = rise in=20 gain as we increase the operating frequency. The behavior of an end-fire = out-of-phase fed array differs considerably from the in-phase-fed = version. Two=20 general rules apply. First, the closer the element spacing, the higher = the gain=20 will be over a single element. This trend gives precedence to 20 and 17 = meters,=20 where element spacing is closest. Second, the gain advantage increases = as we=20 increase the element length relative to an initial length. This trend = gives=20 precedence to the higher frequencies, where the M3KXZ elements are = electrically=20 longer. The broadening of the beamwidth at 52 MHz suggests that at = higher=20 frequencies (and therefore longer element electrical lengths), the = pattern will=20 break into 4 lobes, ruining the bi-directional characteristic of the = antenna=20 with out-of-phase feeding. The net result of combining the two trends is = a much=20 tighter grouping of gain figures for the out-of-phase version relative = to the=20 broadside in-phase version of the array.=20

The purpose of switching the phase of feeding is to obtain maximum = possible=20 gain from two fixed vertical elements in the direction of the signal. An = in-phase/out-of-phase switch at the junction of the two lines marked TL1 = and TL2=20 in Fig. 2 provides a means of switching the axes of the = bi-directional=20 beaming. The beamwidths of the lobes in each version are complementary = so that=20 little or none of the horizon is excluded from performance equal to or = better=20 than the omni-directional patterns of a single element. Of course, in = the=20 2-element phased version of the M3KXZ array, the elevation patterns = retain their=20 low TO angles.=20

Thus far, the M3KXZ array displays considerable ingenuity in = providing=20 low-angle vertically polarized radiation over a wide passband. However, = the=20 array faces one final challenge: feeding the system and matching the = junction=20 impedance for either phase condition to the equipment. Here, we can use = the=20 modeled elements only with great caution. M3KXZ constructed his entire = system=20 with speaker wire, an inexpensive but dubious choice for outdoor = durability.=20 Speaker wires generally carry no rating for performance under the=20 summer-to-winter weather extremes, and so the quality of such wires will = vary=20 from one maker to another, depending upon the quality of the insulation. = In=20 addition, such wires carry no rating for their characteristic impedance = at RF=20 frequencies. However, similar wires with standard "poly-plastic" = insulations=20 usually show an impedance in the 75- to 100-Ohm range. Due to modeling=20 limitations, we have had to use a lower or double-wire section composed = of bare=20 wires 1" apart, for a characteristic impedance in the 400- to 450-Ohm = range.=20 Therefore, the impedance transformation that occurs in this section from = the=20 junction with the single-wire upper section and the end feedpoint will = differ=20 from the transformation obtained in the original version.=20

Adding phase lines to a central junction is another matter. We may = sample a=20 variety of lines, that is, a range of characteristic impedance values, = by using=20 the TL facility within NEC. The line impedance will not change the = antenna=20 radiation pattern, but it will change the impedance that we obtain at = the=20 junction of the two lines under each of the phasing conditions. In = creating a=20 survey of values, I have simply used a velocity factor of 1.0 for two = reasons.=20 First, the element feedpoint impedance values are already off their = marks if we=20 use a double-wire section with a difference characteristic impedance. = Second,=20 common feedlines tend to come in several versions, each with a specific = velocity=20 factor.=20

Nevertheless, we can obtain a view of the type and size of the = feedpoint=20 impedance challenge using two 5' lengths of transmission line to a = central=20 junction. For the survey, I selected characteristic impedance values of = 50, 75,=20 125, and 300 Ohms. The 50-Ohm value is for the most common variety of = coaxial=20 cable. 125-Ohms is the value for RG-63, a very useful but often = overlooked=20 cable. 75-Ohm covers both some common coaxial cables and so-called = twisted pairs=20 of insulated wires. 300 Ohms, of course, applies to common TV-type = parallel=20 feedline. Table 4 provides the results of the survey, where R and = X are=20 the impedance components at the junction of the two cables (TL1 and TL2) = under=20 each phasing condition.=20

The number of cases in which we obtain very low impedances, = regardless of the=20 characteristic impedance values for the phasing lines, raises a strong = question=20 about using a 4:1 balun at the junction of the two lines. Converting an=20 impedance that is already well below 50 Ohms down to an even lower = values seems=20 to make little sense, especially if one uses the 50-Ohm main feedline = shown in=20 the originator's sketches. 4:1 baluns come in numerous designs, some of = which=20 may prove to suffer losses when used with high reactive components or = when used=20 outside the range of their winding's characteristic impedance. The = result may be=20 artificially favorable impedance values at the terminals that may = disguise what=20 is actually occurring within the device. There are few values in = Table 4=20 that would benefit from even an accurate 4:1 downward impedance = transformation.=20

In addition, the author uses 1:1 baluns supposedly to force equal = currents on=20 to the short and long sections. Actually, the current imbalance on each = side of=20 the feedpoint is part of what allows the array to achieve its broadband=20 characteristics. A balun or choke might be more applicable at each = element=20 feedpoint if TL1 and TL2 are both coaxial cables, where = transmission-line=20 currents are inside the cable between the center conductor and the inner = side of=20 the braid, and common-mode currents are on the outside of the braid. = Indeed,=20 parallel transmission lines may not be the most ideal phase lines for = the array.=20

The author also correctly notes that he obtains good impedance = matches=20 between whatever impedance the array presents at the junction--after=20 transformation down the 50-Ohm main feedline--via his antenna tuner. We = shall=20 bypass any losses incurred by the impedance mis-match between the = cable's=20 impedance and the load impedance at the phase-line junction. The = low-impedance=20 loads, if transferred to a tuner, present challenges of their own.=20

Depending upon the type of network used, low-impedance loads = sometimes result=20 in acceptable but imperfect impedance matches, where the best obtainable = SWR=20 value at the tuner is perhaps 1.3:1 to 1.6:1. These conditions generally = indicate a limit to the range of the components within the tuner = relative to the=20 impedance at the terminals. In the table, note that many modeled values = show=20 much higher reactive components than resistive components. Although the = match is=20 acceptable, the efficiency of power transfer may not be as high as we = too often=20 presume. If the network has a low loaded or operating Q (Terman's = "delta" term=20 from the 1940s), we may find a difference in the settings required for = resonance=20 (that is, for zero reactance), for maximum power transfer, and for = impedance=20 matching. As the circuit's delta increases to about 10, these settings = resolve=20 to a single point. However, so long as tuners continue to lack any form = of=20 relative output indicator, we cannot easily tell if the impedance match = that we=20 obtain is also the point of maximum efficiency.=20

The junction of the two phasing lines is a balanced feedpoint. = Ideally, the=20 array might be fed at that feedpoint by a remote, balanced, weatherproof = ATU=20 with a very wide range of impedance matching capabilities. Such tuners = are not=20 generally available, although we can press existing components into = service. In=20 general, placing the tuner at the balanced feedpoint that joins the two=20 phase-lines allows the use of a 50-Ohm cable to the equipment with = minimum loss.=20 At the input to the tuner we likely should install a common-mode current = attenuator, such as an unun or a ferrite bead choke. System ground = should occur=20 at the equipment side of the unun or the choke, not either at the tuner = output=20 or at the tuner input. (The tuner input is likely to have a common = ground system=20 with the output, and we would want the tuner to "float." Grounding the = braid of=20 the coax at the equipment side of a ferrite bead choke would provide for = static=20 discharge.)=20

Conclusion=20

The M3KXZ antenna and array constitute an ingenious arrangement of = element=20 parts that achieves low-angle vertically polarized radiation over an = extended=20 operating bandwidth that common configurations cannot match. The = 2-element=20 version of the array offers some gain and pattern shaping for = bi-directional=20 operating. Even with improved materials designed for both RF service and = durability through seasonal weather cycles, the antennas are = inexpensive.=20 Moreover, they a relatively short for a given frequency range, adding to = their=20 neighborhood acceptability.=20

The challenges presented by the antenna and the array revolve around = the=20 matching and the feed system. Increased attention to these details may = result in=20 a very serviceable, wide-band vertical array.=20

Updated 06-16-2007. =A9 L. B. Cebik, W4RNL. Data may be used for = personal=20 purposes, but may not be reproduced for publication in print or any = other medium=20 without permission of the author.=20

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