Cap hats for whips & short verticals: get more with low effort

Weather has been so miserable that I had time to write this long article, summarizing data I had collected during past activation and tests.

I promise it’s not chatting and the info will be interesting, but I warn you: this is long!

If you decide to get on, you better grab some snacks and sit comfortably to read on…

Introduction

While looking for an antenna devoted to reduced space summits, I have been testing a homebrew multiband short vertical antennas, using either a 3 or 4 meter fishpole with a wire.

Focusing in the range 7 to 14 MHz, this short radiator requires certain loading to overcome its electrically shortened length.

Its short length produces a capacitive reactance at the base. The most frequent solution is to use a loading coil right at the feed point, that adds an inductive reactance at the base of the monopole, tuning the system and compensating the reduced length compared to the ideal Quarter wave (¼ Lambda) antenna.

I prepared and tested some prototypes and finally decided to move the coil upwards, towards the center of the antenna as this improves the radiation of the vertical, at the expense of an increased inductance required to put the antenna in resonance again.

An activation in a densely vegetation summit: this loaded 4 m vertical saved my day!

As a complementary improvement, I added a capacity hat on top, that contributes to increasing the current flow in the radiator, and therefore has some positive effects:

  • The top hat increases the antenna radiation resistance, significantly more than inductively base loading can do.
  • The hat provides a complementary loading, therefore increasing the resulting electrical length of the antenna
  • It reduces the required inductance in the loading coil, decreasing a bit some of the associated losses in the coil
  • The vertical radiator carries a higher current, as the cap hat works as a storage device (capacitor), in combination with the ground radials. The resulting radiation of the vertical segment is increased due to that greater RF current.

Meanwhile, the wires of the top load, arranged symmetrically, make the currents flow in opposite directions so that they cancel their RF field.

Scheme of adding a cap hat, enhancing the resulting RF current flow:

Using a full length quarter wave is a better performer, but if we plan using a shorter antenna for limited space situations, then, using a cap hat, placing the tuning coil upwards and setting the ground radials as best as you can is a way to get a better signal than taking a mere short whip and use it careless.

I’ve been using cap hats successfully in many summits with good results.

Cap hat, testing several designs

In the past I built different caps. I don’t want a heavy hat, and I therefore used thin brass tubes and also light copper foil.

The general rules for building cap hats are:

  • The more surface the higher capacitance obtained.
  • You can use as little as two opposed spokes or increase its number. A symmetric & radial design is the common choice although some asymmetry is tolerable.
  • You can add an outer peripheral rim, that increases the capacitance a bit.
  • If you add more spokes the capacitance increases but there’s no need to put a bunch of them because, at some point, adding more diminishes the increased capacitance per wire, due to the mutual interaction between the near spikes. That’s why a radial structure (easier to build) delivers a similar capacitance than a solid disc.

I decided to run a few measurements to evaluate how the top loading influences on the antenna.

1) Resonant frequency shift test

Is there a large variation in frequency when using a cap hat?

To see the influence of top loading a short vertical antenna I tried a worst-case scenario, that is, a short radiator and reduced ground system.

  • Vertical radiator: 1,6 meter wire on a glass fiber pole. This length is similar than short whips.
  • Loading coil: not used in any case.
  • Ground radials: 2 x 2,5 meter radials lying on ground. That’s a poor ground indeed.
  • Top cap hat: I tested the antenna without a cap to have a reference value, and then tried up to 5 different cap hats, from small to big. More details are in the chart below.

With such a short radiator (1,6 m) you could expect antenna resonance is too high, far from useable in HF bands. Let’s see if a cap hat makes things better.

Resonance of 1,6 m vertical without top loading: 34,7 MHz, impedance Z = 38 ohm.

Now let’s add cap hats one by one.

- C Square: made with 5 mm wide copper foil.

- D Decagon: made with 10 mm copper foil

- E Hexagon made with thin Ø2mm brass tubes and a light wire for the outer rim.

As you can see, adding any cap does have a positive influence, shortening the resulting electrical length. Even something as simple as case B (two opposed short spikes), does shift the frequency down.

Better results are achieved as the hat forms a square or rounded surface. See a picture showing the tested hats refs. C, D & E:

Looking at the frequency shift, the E hexagon does the job better than the thick spikes of the D Decagon: that suggests it’s more relevant the area covered (a bit wider for the E hat) than the thickness of the spikes. That’s a good feature as a lighter hat can be made with thin tubes, helping to reduce the side wind loading on the vertical radiator.

The last case, F hat, was done just to get a bigger the top loading, despite from a practical point of view such 2 x 150 cm horizontal wires of my F hat are not a real solution for a mountain top operator. To do this test I extended a rope from two side supports and then hung the 2 x 1,5 m wire stretched; this is something complicated for a mountain top but was nice to test.

This F hat resembles the old T antenna design, frequently used by broadcast MF stations.

See the top parallel wires from the broadcast early AM station WBZ in Springfield MA, 1925 (photo from Wikipedia):slight_smile:

There’s more info on T antennas at the end of this article.

A final note to this set of tests: all the measurements using this 1,5 meter radiator with hats had a good impedance around 50 ohm and very good SWR values, but the resonant frequency without a loading coil were still far from useable for ham bands, except on 28 MHz.

I decided to do some additional testing trying to make this top loaded antenna useable further down in frequency.

2) Testing hats combined with loading coils for 14 MHz: influence in the loading coil.

The hats offer a good contribution to this kind of short antenna, but what could I expect when using a ham frequency of say 14 MHz?

1,6 meters of radiator is very compromised. Is the required loading coil too big? What’s the benefit of using a hat in 20m band?

I ran a second batch of tests to check the variation a hat causes to a base loaded coil. Bear in mind I just tested 14 MHz. If I wanted any lower band the hat contribution could be different, presumably lower…

I just ran two hats for such test, model D-Decagon and F-T Hat (2 x 1,5 meter).

Okay, the good news is you can use this short 1,6 m radiator as an antenna for 14 MHz and the required loading coil inductance is manageable.

Again, using a hat made things better, reducing the required coil roughly by half, moving from the 8uH without a hat to 4,4 uH when using a normal hat.

Oh yes, the T hat made the inductance even smaller, but we agreed it’s not a practical solution.

3) Elevating a short vertical, hat & coil loaded

An additional problem arise with the antenna as seen in the previous test. The impedance for 14 MHz wasn’t that perfect, and you get about Z 53 + j30. That makes SWR around 2:1.

You could still use the antenna, but you have a slight RF reduction due to SWR. Is there any way to revert to a best SWR?

Yes, there’s an easy way to make things better at low cost: raise the bottom of the antenna.

If you’re using such short antenna, you could simply elevate the feed point and the whole antenna 1 meter over ground.

This also makes the ground radials slope a bit then lie on ground influencing the coupling at the base. Even if you’re not using a cap hat the situation will get better with a semi-elevated ground system.

Another test was carried out for this situation, now using 4 x 2,5m ground radials.

It is confirmed that in any case, elevating a short antenna and having semi-elevated ground radials improve the impedance and, therefore, the antenna matching SWR. No evidence of a significant inductance variation was seen in the other hand.

This test help understanding the good results some pedestrian portable operators achieve with their hand-held HF transceivers using a short whip of similar length to my test, which they operate at some height over ground, while trailing a single radial (semi elevated).

4) Is there a way to squeeze more performance? The middle length loaded vertical

Say you want to get some more RF out from your antenna: what else could I do?

Apart from using some more power (rise it from 5 to 10 watts then get +3dB extra …) the obvious choice is to enlarge the vertical radiator.

I wouldn’t use a short 1,6 meter whip in 7 MHz, where I can expect a marginal performance losing many dB compared to a true GP antenna, but, what if I increase the length and use a 3 meter, or better, 4 meter radiator, improving radiation also in other bands?

That’s what I’ve been using in some of my SOTA activation in 2025, and I must say the antenna performed well, running between 7 to 21 MHz. I know its performance is best in the high bands but in 7 MHz I can still grab a decent number of QSO or jump for a quick S2S.

This is not my permanent antenna choice, but it delivers similar results compared to my regular EFHW, which requires much more space to deploy.

What about the required inductance for a 3 meter vertical radiator in 14 MHz? Okay, that’s my final test here (again 4 x 2,5 meter ground radials, but this time the antenna was non elevated over ground):

Tests confirm using the hat there’s a reduction in the center loading coil, so the antenna is slightly loaded thus having better performance than a shorter 1,6 meter radiator.

If I wanted to be perfectionist, I’d elevate the antenna and add another set of radials to get 8 or more on ground. If radials are short, I could also add capacity loading to their ends.

From a practical point of view, this extra effort is something I won’t do as I’d lose the ease of setup.

5) Carrying a hat with no pain: the EA2BD folding hat proposal

I carried my 3m or 4m poles many times in 2025, completed with the coil and the capacity hat. The hat was assembled and didn’t fit inside my rucksack, so I usually hung it outside my pack, like this:

That worked okay but I had to care not to damage the hat when walking in dense vegetation, as branches can grab & pull to the hat, bending the cap spikes or even breaking the outer rim wire. Such issue happened to me a couple times.

What if I prepare a collapsible design reducing its size for transportation purposes? Think & done, this is it, probably the first ever folding ham Cap hat:

How to build it? I took these parts:

- Cardboard to have a solid form

- A decagon shape to create the spikes

- Adhesive copper foil, 10 mm wide (although 5 mm would work the same)

- An expired plastic card and a neodymium magnet

- Thin wire and 3 mm bullet banana

- Wood square dowel, 2 centimeter side

- Scissors & Dremel tool

First, I draw the decagon in the cardboard and removed the inner material with a cutter. Then I added the adhesive copper foil:

I tin solder all corners.

Then added some plastic squares in both sides of the folding axis, drilled a 3 mm hole and used a nylon tie as a hinge.

I trimmed the plastic card a bit, added the neodymium magnet that is in charge of holding the cap hat open. Then soldered two connecting wires to both sides and glued the square wood dowel, after drilling a 5 mm hole to put it on top of the fishpole mast.

This is a top view and see it open, the wire is connected by a 3mm bullet banana.

I protected the cardboard edges with a thin layer of acrylic paint, to withstand wear and a bit of moisture, despite it’s not really watertight.

The easy whip version

In recent times I’ve seen many portable ops using short whips, thanks to the good solar conditions of the current cycle. I’m a bit surprised that none of them seems to be using a cap hat. A cheap and dirty cap hat for whips can be done soldering some short lengths of enameled wire to a crocodile clip: easy to transport and clip on top of a whip!

LY2H, Linas, has a nice video on that, using some solid copper wire.

A look back to the origins: the Marconi era

There are little articles published for cap hats. We can just dig now a bit to get back to what originated its invention.

A look to the archives reveals the capacity hat were originated at the beginning of 20th century, where the broadcast transmitters used very low frequencies.

The T antenna was then born to overcome the difficulty of erecting a true quarter wave vertical for such VLF/LF radio waves. This antenna comprises a vertical radiator and some horizontal long wires at the top, suspended between supporting towers, creating a T-shape.

As we’ve seen, such configuration increases its effective electrical length. Radiation comes from the vertical radiator only, providing a vertical polarized omnidirectional pattern.

The horizontal wires of the top hat don’t provide significant radiation. They extend outwards symmetrically, experiencing symmetrical currents flowing in opposite directions, leading to complete cancellation of their far-field radiation contribution.

The top-load capacitance increases as more wires are added, so several parallel horizontal wires are often used, connected together at the center where the vertical wire attaches.

An optimum efficient top loaded antenna can deliver 2 to 4 times higher power, thus 3 to 6 dB gain. To achieve that level the design has to pay attention to the ground radial design.

T antennas were built early, due to the low frequencies used at that time. Marconi had a T antenna stretched between the masts of his vessel Elettra:

Nowadays, there is still a use of T antennas for broadcast stations.

One example is the DCF77. This is a 50 kW time signal transmitter located in Mainflingen, near Frankfurt, at 77,5 kHz. The antenna top hat is up at 150 meter high.

Some more references on this subject are here:

Conclusion

It’s a pity Marconi didn’t have the chance of activating for SOTA.

Let me make a guess: do you think he would have been like this in a mountaintop? That antenna fits quite well with this article…

He would have needed a horse to bring his QRP furniture up the hill !!

73 Ignacio EA2BD

44 Likes

Great article Ignacio, providing practical advice and historical perspective with story-telling pictures! I am definitely encouraged to try a small hat on my small whip!

73, Peter

1 Like

The DCF 77 antenna, scaled to 20m band, would be 75cm high.

Windscreen wiper rubber blades contain stainless steel strips which would probably be quite suitable for making cap hats with lower windage.

The one I have sitting here is 2.4mm x 0.75mm x 540mm. Come the start of winter, my local auto parts store has a rubbish bin full of old wiper blades, as they will fit them for you on the spot. (I got them for a tiny folding crossed yagi for 2m)

3 Likes

Great post, thank you.

Did you try to measure the difference in terms of radiated power (or received signal somewhere) between the same vertical with higher inductance in the middle + no hat VS medium inductance + hat (same swr) ?

1 Like

Hello,

Yes, that’s the obvious complementary test to do for the subject.

I did some FSM (files strength measurements) in the countryside but I wasn’t hundred percent satisfied with the calibration prior to do these measurements, and planned to repeat them in Spring with better weather.

Anyway, I can search what I did and reply again with the results I got in the past.

Will write back in a few days… 73

2 Likes

Amazing work, Ignacio. A very good article, and I hope the weather improves from now on so you can get out and activate some SOTA summits.

Manu.

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CONTINUATION – PART II

After the publication of the first part of this article I was requested to check the radiated power difference of these antennas, comparing the top loaded with the cap versus the unloaded.

Long time ago I planned doing some kind of Field strength measurements (FSM) to evaluate what’s the loss of performance of a shortened HF vertical antenna. Let’s see what I did so far.

The ideal FSM plan

If I was a professional laboratory I’d love to measure the RF pattern of my antennas at 360 azimuthal degrees and at several elevation points, using a number of monitoring probes.

The EA2BD simplified FSM

Okay, I’m not a laboratory, nor the ARRL technical dept., and I therefore opted for a very simplified testing procedure:

- Find an unobstructed flat surface in the open air, on a park.

- Put the testing antenna In position A and a receiving station at position B, separated several wavelength for the testing frequency, to avoid measuring the near field. Keep both antennas in the Vertical plane on the same polarization.

- Use a tinySA spectrum analyzer as for the RX receiver and measure the incoming signal in dBm level. Reading just the S meter level is not acqurate, as one S unit exhibits around 6 dB signal variation, too much to see a little variation that way.

- Use a quarter wave vertical antenna as for the reference TX value. Change antenna to a shortened variant and measure dBm level.

- Calculate the dBm variation compared to the reference antenna.

- That’s it!

Testing data

Back in October 2025 I went to a field with my friend Jorge EA2LU, to carry out this test.

To keep things simple I decided testing 3 antennas, only in 14 MHz:

1.- a 1/4 Lambda reference: a vertical 5 m wire on a 7m fishpole with a single radial (5 m) sloping towards ground, keeping the far end elevated (abt. 50 cm min over ground). That up & outer antenna approximates to a vertical dipole.

2.- a center loaded 3 meter vertical, with 4 short radials (2,5 m each) directly on ground.

3.- a base loaded 1,5 m vertical with the same short radials on ground.

4.- I added an additional test to this last worst case antenna by elevating the 1,5 m aerial about 1 m over ground and sloping the radials (semi-elevated, half of their length on ground).

Cap hat is a 6 spikes, 16 centimeter each, plus an outer ring.

Initial conditions:

- Testing frequency: 14.050 MHz – wavelength 21,3 m.

- Distance between TX to RX: 185 meter. This is bigger than 2 lambda (42,6 m). Testing at more than 2 lambda is a rule of thumb distance to measure the far-field in HF.

- Environment: flat and unobstructed, some small bushes. Terrain was quite dry. That area was surrounded by roads and some light towers. We both avoided being near the metal structures and didn’t have any metal object obstructing the direct path TX to RX.

- TX: Elecraft KX-3

- RX: TinySA analyzer.

PROBLEM!!

I carried almost everything… but we had forgotten to bring a proper wire vertical antenna for the analyzer, doh!

We decided to get on using a tiny 30 centimeter telescopic RX antenna in the TinySA analyzer! We just hoped the near body of Jorge don’t influence much on these emergency measurements.

Now let’s see the 1,5 m base loaded:

Measurements:

Initial floor noise in the receiver= - 79,9 dBm

TX radiating carrier (CW): 4 watts

RX data table:

Analysis

Measurements agree with theory. As you could expect, bigger radiation is produced by the reference 1/4 vertical antenna.

The 3 m shortened version gets a reduction of -1,6 dBm without a Cap hat. Using the top loading helps improving the radiation and you just loose -0,6 dBm, saving 1 dB thanks the Cap. Either using the Cap or not is not bad for such 3 meter radiator as the signal is not very degraded compared to the reference antenna.

The 1,5 m shortened on ground version suffers a penalty of around -8 dB (-7,8) when not top loaded.

Now add the Cap and then things get better by recovering 3,8 dB of signal, having a final loss of -4 dB compared to the reference. I must admit I expected a bigger dB reduction for a 1,5 m antenna.

What for the 1,5 m when elevated over ground? That’s surprising as the non-top loaded is radiating similarly as the top loaded on ground, providing the same -4 dB loss. A final surprise is to see the 1,5 m elevated + top load brought things back and now you have a -2 dB loss, similar to the unloaded 3 m radiator!

I can understand now how a telescopic whip in the hands of an operator, pedestrian mobile style, dragging a single radial tossed on ground provides good results in high bands (14 MHz and up). The key factor in such situation is having the radio and the whip elevated, either on a table or right standing.

I did a further test repeating all the cases by using 2 watts. All the dBm were reduced (3 dB) and followed a similar tendency to what I got in the 4 watt test.

Future pending work

I’d love to repeat the test using a proper RX antenna instead the tiny 30 cm telescopic whip. Don’t take the measurements in this article as a professional work, but as an illustrative amateur evaluation.

Other bands?

Keep in mind we tested only in 14 MHz. If we had tested the same antennas in 10 or 7 MHz you could expect a much bigger dB reduction in all cases. A short antenna can work quite okay for a limited set of frequencies: go further down and then you’ll get a stronger performance decrease.

Conclusion

- It’s confirmed that using a Cap hat improves the performance of a short vertical antenna.

- The shorter the antenna, the bigger the contribution of the top loading to improve radiation by reducing a part of the losses.

- If your antenna is very short you better keep it over ground. Results can be rewarding in high HF bands.

- Overall performance of a short, center loaded and top loaded antenna is close to the full size antenna for some bands. Laying short radials on ground in such situation can work well enough and make the setup fast and easy, allowing multibanding your antenna and fast band changes, by requiring only the center coil inductance adjustment.

- If you intend to use a single band, then consider using elevated radials (minimum two) for enhanced performance.

Hope you find the info useful.

73 Ignacio

22 Likes

Yes it does! Your meticulous approach impressed me. And the results confirm my belief that a single radial contributes significantly to the radiation pattern. Therefore, an elevated radial is more efficient.

One question remains: Does a 5m long elevated radial produce a significant directional radiation pattern?

73 Chris

1 Like

Thank you for these measurements Ignacio! They confirm that short antennas, due to their low radiation resistance, are most affected by ground losses. Therefore, there are two remedies: either raise the radials above the ground and thus reduce ground losses, or put a capacitive hat and thus raise the radiation resistance, which automatically makes ground losses less dominant. And it follows that it is best to do both.

73 de Ivan, 9A7AM

3 Likes

Excellent job

Ignacio,

As a supplement to your almost meticulous series of tests, the interesting article “Where do I hang my hat” by L. B. Cebik, W4RNL, could also be mentioned … because the author deliberately omits “capacity” from the title …

73 gl, Heinz

Where do I hang my hat? - L. B. Cebik, W4RNL

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Hello dr Heinz

Thanks for the input.

It’s great to add such interesting paper from Mr. Cebik, an excellent antenna analyst with lots of useful information that deserves to be kept alive at hand.

For my understanding, the custom of adding the word “cap” to this hat refers to the enhanced current flowing upwards, more than to a truly capacitor performance.

VY 73 Ignacio

1 Like

Adjustable Cap Hat from Ali Express for 5.6 m wip antenna

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Excellent work, Ignacio :+1:
Thank you so much for performing all these experiments and sharing your results and evaluations.
As well as the appealing technical content, I really appreciated the practical approach and the historical context.

I’ve learned a lot from reading your articles. Apart from the obvious consideration of a cap hat for verticals (which I’m going to build soon), I’ll keep in mind mounting very short verticals elevated rather than directly on the ground in the future.

Keep up the great work and hope to cu soon in the next QSO.
73, Roman

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The author L. B. Cebik, W4RNL, concludes his publication entitled “Where do I hang my hat?” with the following words:

The original question was whether it makes a difference where along a shortened element one places a hat, so long as the hat is generally out toward the end somewhere. The answer is yes.

Legends aside, these exercises in modeling do more than set up an additional support for placing hats as far outboard as the antenna’s physical structure permit. They provide a body of data about source impedance, gain, and current magnitude along the element to clarify somewhat the overall understanding of hat properties. The project has been as much an exercise in using all of the data provided by modeling programs as it has been a demonstration of hat properties. (There is, in fact, further data available that goes beyond the scope of this particular set of notes.)

Time to go. Now where did I leave mine–hat, that is. It was hanging on the end of an antenna when I came in.

Here, in brief, are some further interesting findings from his modeling in NEC and MININEC:

→ the capacitance of so-called capacitance hats is irrelevant (contrary to many legends …)

→ the simplest and most accurate way to view a hat is as a simple mechanical extension of the main element. Depending on the hat structure, the current can split, but the sum of the individual currents in the hat segments immediately adjacent to the last main element segment corresponds to the natural continuity of the main element’s current curve

→ the symmetrical hat shape, formed by spokes and a surrounding wire, allows for a significant reduction in size for structures with a low number of spokes. This reduction can be estimated by considering that the actual end of the element is not a spoke tip, but rather a point along the surrounding wire midway between two spoke tips

→ the simplest non-symmetrical-hat antenna is the monopole antenna bent into an inverted-L shape.

________________

Edit 21.03.2026

As a supplement to the above topic, the relative current magnitudes at a 4-radial top hat without and with a perimeter wire are shown in an EZNEC plot in Fig. 6 of the publication

L. B. Cebik, W4RNL - Counterpoises, Capacity Hats, and …

________________

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There’s a classic joke about an economist who, when shown something that works in practice, asks: “Yes, but does it work in theory?”

Silly as that sounds, a bit of theoretical modelling might come in useful when interpreting SWR as a performance metric, especially for short antennas. In particular, an improvement of SWR as evidence of success for adjustments on short antenna systems, can be the due to additional losses, rather than improvements in radiation. I would even argue that the default position in the case of short monopoles, should be to consider such improvements with suspicion. @EA2BD : Hence why your additional field measurements are very informative.

As a reference point, modelling a 3 m whip with version “E” of your top hat at 14.05 MHz in MMANA‑GAL gives a radiation resistance of about 11 Ω. That is essentially the maximum radiation resistance available for that geometry. Even with perfect reactance cancellation (e.g. a lossless coil), you are left with an SWR of about 4.5. Consequently, any significantly lower SWR will come from additional resistive terms due to losses. Moving the coil towards the centre of the whip does increase radiation resistance, but only to around 19 Ohms, translating to an SWR of 2.6. However the additional gain (+0.02 to +0.08dBi) does not appear very exciting, at least in a world with no capacitive ground losses. See below table;

Interpreting SWR sweeps in that light, what may have happened here is this: if initial capacitive ground losses were large enough to push the total real resistance above 50 Ω, as your measurements suggest, then reducing those losses would naturally move the impedance closer to 50 Ω and improve SWR. The key point is that for a short monopole, the achievable radiation resistance remains much lower, so chasing a 1:1 SWR, or even just SWR reduction, may not be the right objective.

Revisited conclusion?

  • Theory suggests that adding a capacitive hat to a 3m whip will not move the needle much (+0.02 to +0.46dBi gain). This is primarily due to the relatively short length of the hat’s radials.
  • Measurements in the field show higher gains (+1dBi), most likely thanks to reduced capacitive ground losses, which are not captured by most antenna modelling tools.
  • If one S-point corresponds to +6db, the absolute gain increase of the antenna system still appears modest
  • It may therefore be worth putting more effort into lengthening the whip to a 1/4 wave length, and ensuring that the feedpoint and radials of the antenna are just a wee bit off the ground? (e.g. +5db gain for a +0.5 feet elevation as per below slide from KJ6ER)?

PS: Please correct me if I am wrong :folded_hands:

PSS: @EA2BD thanks for taking all time and effort to conduct these experiments! :+1: :star_struck:

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I am not into antenna modeling and also my understanding of antena theory is very poor.

I don’t undestand numbers. 3m whip has 4,89 dBi gain while dipole has 2,15 dBi???

… and reread the chapter “Modeling Considerations” with the conclusion (the last two sentences) in the very clearly written and illustrated publication Where do I hang my hat? - L. B. Cebik, W4RNL

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To put a bit more meat on the bone:

  • Maximum gain for an ideal dipole: 2.15 dBi (in free space)
  • Maximum gain for a GP vertical over perfect ground: double the power due to ground reflection, so add 3 dB
  • Total: 2.15 dBi + 3 dB = 5.15 dBi

That is why a 3 m whip (vertical) modelled over perfect ground can show higher gain than the standard dipole reference. It is just the effect of ground reflection, not a sign the antenna is better.

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Correct me if I am wrong but it is wrong to add ground gain to any antenna.

all antennas on certain height can have ground gain. It is effect of the enviroment not characteristic of antenna.

If ground gain exist, excellent. But what if not? You have only gain over isotropic antenna to compare two or more antenas. And this is only right way to compare all of them