Revised 8/31/08 Added specs for pvc pipe used for beam and cross-arm sections.

Revised 4/04/09 Inclusion of materials list, and minor changes of some pipe dimensions for consistency.

Revised 4/26/09 Wording and grammar.

Revised 2/12/13 Extended the range of the spreadsheet.

Introduction And Conclusions

Background

Mechanical Design

Designing The Spiral Antenna With The Spiral Spreadsheet Model

Run The web Based Model

The Effect Of Beam Length And Spiral Diameter On SWR and Bandwidth

Model Verification

Parts List

Future Work

An experimental antenna similar to the TAK spiral antenna was evaluated for SWR response

over the frequency range of 7.0 to 7.3 MHz, or the 40-meter band.

Summary of results

- Beam length has a significant effect on SWR response. Increasing the distance

between spirals increases the antenna's resonant frequency. Beam length can be used

to fine-tune a spiral antenna to the desired resonant frequency. - The combined length of antenna and hookup wire has a significant

effect on the antenna's resonant frequency. The longer the combination, the lower the

resonant frequency. - The diameter of a spiral antenna affects its bandwidth, as measured by the frequency

range where the SWR is equal to or less than a value of 2. Increasing spiral diameter

increases bandwidth.

TAK markets and sells a 40-meter antenna that is a unique arrangement of a simple dipole

where the quarter wave sections are wound into flat spirals instead of being arranged in

a straight line. The advantage of this configuration lies mainly in its compact size. The

finished antenna easily fits into a 3-foot cube.

TAK Antenna

George Mann, the president of the Lakeland Amateurs Radio Club was kind enough to let me

study his TAK antenna. The TAK's major drawback seems to be its fixed beam length.

A design change to overcome this shortcoming was needed. Instructions for an adjustable

length version are presented below.

Materials used to construct the adjustable beam length spiral antenna are available at any home

center and consist mainly of PVC electrical conduit, and two sizes of PVC water pipe.

Fourteen-gauge aluminum wire was chosen for the antenna because of its low cost.

Construction consisted mainly in cutting PVC to length and drilling holes. A modified spade

bit, ground to the diameter of the gray PVC conduit used for the cross arms (0.845"), was

used to drill holes in the movable sections of the beam. To insure that the holes were at

right angles to each other, a simple jig was used to support the beam during the

drilling operation.

Drilling Jig

The image above shows the jig in use during the drilling operation. After the first pair

of through-holes are drilled, a piece of scrap PVC is inserted through these holes, and

the piece is then returned to the jig with the scrap PVC now resting on the locating rails.

This insures that the next pair of holes in the PVC will be at right angles to the first pair.

One Of Two End Sections

In the above photo, the larger diameter PVC has been drilled and the spiral arms inserted.

For the beam members two sizes of PVC water pipe were used.

Nominal---------OD----------ID

1 inch----------1.315--------1.040

1 1/4 inches--- 1.160--------1.360

The two cross members are secured with a single self-tapping screw.

Arm Attachment

Adjustable Beam Length

In contrast with the TAK, the beam in this design is not one but three pieces. Two hold

the spiral supporting arms, while the third, smaller in diameter section, fits into the

other two. This arrangement produces an adjustable beam. The above image shows how one

section slides over the other, in trombone fashion, allowing for the beam length to be

varied.

The primary spiral antenna design parameters are: the desired resonant frequency, the

length of the hook up wire that connect the antenna to the coax, and the minimum distance

the antenna wire is allowed to come to the end of any one PVC support arm. Once these

parameters have been determined, many spiral designs are possible by varying the spiral

pitch, or distance between turns, and the starting distance from the hub of the spiral.

From a mechanical perspective the most important design consideration is how close the

outermost end of the antenna wire comes to its supporting spoke. An antenna wire that is

an inch too short will leave a large section of antenna wire unsupported, whereas one

that is an inch or two longer than needed to reach the last support is easily tolerated,

and may even be an advantage in subsequent tuning. Therefore, it is important to choose

the pitch and start values from the center of the spiral with this in mind.

Calculating the effects of starting distance and pitch on a known length of wire can be

tedious, and finding the combination that satisfies the condition that the wire reach the

last spoke with little or no overhang can be daunting. To address these concerns a spiral

antenna spreadsheet model was created to do the calculations for the designer.

For clarity the spreadsheet begins with a graphic showing the spiral antenna's most important

parameters which are:

- start point
- pitch
- safe edge
- spoke length
- and arm length

A table of inputs and outputs follows the diagram. Inputs are in peach, outputs are in

yellow colored cells. The designer enters the desired frequency, the length of hookup

wire, assumed velocity factor, and safe edge. In response, the spreadsheet calculates

the required length of antenna wire in both inches as well as feet and inches. The

spreadsheet does its calculations in inches, but the user will find the conversion to

feet and inches more practical when cutting wire to length.

Of the remaining two boxes, one is labeled pitch, or the distance between turns, and the

other is labeled start, or the distance from the hub to the point on spoke R1 where the

antenna will start. Adjacent to these two inputs are two outputs labeled turns and min

spoke. The significance of turns is that values ending in 0, .25, .5, or .75 signify that

the end of the outermost lap of wire just reaches a spoke. A value not ending in one of

the above fractions means that the antenna wire will end between spokes. As mentioned

earlier, a little over is much more desirable than a little under.

The minimum spoke value determines the maximum radius of each spiral. The diameter of the

of each completed spiral will be twice this value. More accurately, the length of the cross arms will be two times the sum of the min spoke plus the safe edge.

The overall antenna diameter is calculated as values for pitch and start values are entered. The

same is true for the overall arm length, the measurement needed to cut the support arms to

proper length.

Kerfs, or saw cuts made in the PVC support arms, in combination with plastic wire-ties,

are used retain the antenna wire. The spreadsheet creates a kerf cutting table based on

the pitch and start values entered. In practice two cross arms are placed at right angles

to each other forming a plus sign. Then in either clockwise or counter clockwise fashion,

spokes are labeled R1 through R4. The center is marked on each arm, and the table values

are then transferred to each spoke, starting at the center of each arm and working out to

the end.

(Note: all SWR measurements were made using the MFJ Model 269 antenna analyzer. In each

case the test antenna was raised thirteen feet above the ground and connected to the

analyzer through approximately 60 feet of RG8 mini coax.)

The following graph shows the result of beam length on SWR. It is clear from these data

that as the beam is lengthened, or the spirals are moved farther apart, the resonant

frequency is increased. In this experiment the separation was varied from 27 to 37 inches in

two-inch increments. Over this distance the resonant frequency shifted approximately .18 MHz

or just over half the 40-meter bandwidth.

SWR vs. Separation

Spiral diameter has an effect on bandwidth. Two antennas were compared, one with a 32-inch

diameter spiral, and another with a 48-inch diameter spiral. Tracing along the line equal

to an SWR of 2 the bandwidths of each variation can be compared. In this experiment the

frequency range at or below an SWR of 2 was much greater for the 48-inch model than for

the 32-inch model. The two horizontal lines at the bottom of the chart represent this

difference and are equal in length to the bandwidths of the 32 and 48-inch antennas

respectively. See figure below.

Comparison of 32 vs. 48-Inch Arm Length

A model is only as good as the results it produces. To test the validity of the spiral

antenna model an antenna was constructed according to the following parameters. See

table below. After selecting the resonant frequency, hookup wire length, and velocity factor,

pitch and start values were varied to produce an antenna with a slight overhang past its

last supporting point. This is one of many configurations that could have been selected.

The exact length predicted by the model was marked on a length of 14-gauge aluminum wire.

The wire was then cut a few inches longer than required. Next, two spirals were wound

according to the table above. The model predicts that there will be 6.06 revolutions. The

additional .06 revolutions amounts to 21.6 degrees and equates to an approximate distance

along the outermost lap of this spiral design of 5.8 inches. The average overhang for both

test spirals was just over an inch less than the theoretical value. This discrepancy can

easily be accounted for by construction technique.

After attaching the spirals to a beam, a series of SWR tests were made. In each case the

antenna was connected to 60 foot of RG8 mini and elevated 13 feet above the ground. The

antenna wire length was intentionally set long to insure that it would not be necessary

to add extra wire in the tuning process. Consequently, initial SWR measurements suggested

that the resonance point was low. Material was removed from the outer lap of each spiral

until the exact length of antenna wire determined by the model was reached. At that

condition the resonant frequency was 7.075 MHz. The aim was 7.15MHz. After two additional

inches of antenna wire were removed from the outermost lap of each spiral, the resonant

frequency increased to 7.096 MHz. Beam length was then increased by 4 inches to arrive

at a final spiral separation of 28.75 inches. This brought the resonant frequency to 7.17 MHz,

slightly above aim and favoring the voice portion of the 40-meter band.

The following graphic shows the SWR response as a function of frequency before and after

the final length adjustment. After adjustment, the SWR vs. Frequency curve can be seen to

shift to the right.

Extending the beam shifts the curve to the right.

The spiral antenna spreadsheet model accurately predicts the number of revolutions expected

for a given antenna length, pitch, and starting distance from the center of the spiral.

The spiral spreadsheet model has proved to be a useful tool for designing and building spiral

antennas for the 40-meter band.

For the boom you will need two kinds of white PVC pipe, readily available at any home center.

Use caution here. PVC pipe comes in more than one wall thickness. I used nominal 1.25 PVC for the

boom's sliding members, and 1.0 inch PVC for the stationary section. It may help you to know that

I used schedule 40 PVC, but to be safe, be sure the 1.0-inch material fits inside the 1.25-inch

material before you leave the store.

The following dimensions may be helpful:

- The 1.0-inch PVC pipe I used for the center part of the beam measured 1.315 inches OD.
- The 1.25-inch sliding beam sections measured 1.360 inches ID.

One easily fits inside the other with a free play of .045 inches. - The cross members were constructed from gray 1/2 inch, electrical conduit, 0.845 inches OD.

For each antenna you will need:

- 22 inches of 1.0 inch pipe (see above)
- two 13 inch pieces of 1.25 inch pipe. (see above)
- four 32 inch pieces of 1/2 inch gray electrical conduit. (see above)
- wire - I used 16-gauge aluminum, but any wire of reasonable gauge should do.
- Length is dependent on the design. For a 40-meter design you will need around 75 feet.
- hardware:
- One U-bolt, as deep as you need to attach your antenna to your mast.
- Fasteners to secure the cross members. I've used either 2- inch dry-wall

screws or 2 inch self- tapping screws. Both work well. - To lock the sliders position you will need a two, � inch sheet metal screws or equivalent.
- The effect of wire gauge on SWR and bandwidth.
- Directional properties of the spiral antenna.

There are many possibilities for future investigation. Some suggestions are: