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-- NASA: CR- /;? 'S//
MATCHED PAIR CONICAL SPIRAL ANTENNAS
Robert E. Metzler
GEOTRONICS, INC.5718 Columbia Pike
Falls Church, Virginia 22041
April 1972Final Report
(NASA-CR-122511) MATCHED PAIR CONICAL N72-28172SPIRAL ANTENNAS Final Report R.E. Metzler(Geotronics, Inc.) Apr. 1972 54 p CSCL
17B UnclasG3/07 36543
Prepared for
GODDARD SPACE FLIGHT CENTERGreenbelt, Maryland 20771
Detanl" of Illustrations inthis document may be better
Studied on microfiche
AS/4 --)•3v3
Reproduced by
NATIONAL TECHNICALINFORMATION SERVICE
U S Department of CommerceSpringfield VA 22151
CAR
https://ntrs.nasa.gov/search.jsp?R=19720020522 2020-05-01T13:41:55+00:00Z
Preface
The contract objective was to design, fabricate,
test, and calibrate a matched pair of VHF (220-260 MHz)
conical spiral antennas for use in a rocket-tracking
interferometer array. While gain, bandwidth, impedance,
and pattern measurements met specifications, the phase
match between antennas at low elevations was not equal
to the design goal. Future work in this area might
point toward patterns with more gain at low elevation
angles plus construction techniques to produce pairs
more nearly identical.
Table of Contents
Page
1.0 Summary of Requirements 1
2.0 Design 2
3.0 Test and Calibration 3
4.0 Conclusions
(
List of Illustrations
Figure No. Title
Elevation Pattern
Elevation Pattern, Fast-SpiralAntenna
3-1
through
3-24
Page
4-1
19
through
42
.45
List of Tables
Table No.
3-1
3-2
3-3
through
3-14
4-1
4-2
4-3
Title
VSWR vs Frequency
Gain vs Frequency
Page
. 5
6
7
Phase vs Azimuth through
18
Gain vs Elevation 44
Axial Ratio is Elevation 47
Worst Excursions, Phase vs Azimuth 48
1.0 Summary of Requirements
The application for the matched pair of conical spiral
antennas is an rf interferometer array used in missile track-
ing at the White Sands facility. The cones are to be
mounted with axes vertical and pointed toward the zenith.
In this orientation, it is desired that maximum gain and
circularity, if they vary with azimuth angle, should be
maintained through an azimuth sector of 150° minimum.
The axial ratio (polarization is right hand circular)
'through this sector and between 250 and 85° elevation is to
be 3 dB maximum with a 1.5 dB design goal. Maximum gain
is to fall at 80 ° to 90° elevation (referred to the ground
plane) and is anticipated to be +4dBi. The required fre-
quency range is 220-260 MIHz and the VSWR 1.5:1 maximum
referred to 50 ohms. Calibration and fiducial markings
are required for each antenna of the pair such that they
can be installed to produce equiphase far field planes
(design goal + 30 minutes of arc); this calibration is to
be accomplished at three frequencies and every 360 of azimuth.
Mechanically, the antennas are designed for a wide out-
door temperature range (-55° to +150°F), winds up to 100
mph and humid, salt-corrosive environments.
-1-
2.0 Design
Geotronics had previously designed and constructed
4-arm conical spiral antennas in several physical confi-
gurations. These antennas produced patterns with an over-
head null and maximum gain 30° to 50° above the horizon
and were used for communication with satellites. This inter-
ferometer application, however, required a 2-arm spiral to
produce maximum gain at the zenith.
Geotronics' previously-developed computer program
for conical spirals is usable for either 2 or 4 arm models.
From previous experience, it was felt that a base diamter
.of approximately 24 inches would be required for operation
at 220 MHz. A spiral angle, a, of 84° degrees was selected.
A prototype antenna was constructed to these dimensions and
rotating-dipole patterns were taken across the band. Pattern
shape and circularity were as anticipated, so detailed
design of the deliverable matched pair commenced.
Since any appreciable tooling would have been prohibi-
tively expensive for two units on a small fixed-price
contract, the antennas were designed for hand construction.
Three circular discs were machined for horizontal members,
with-oak ribs set into the discs to form the remainder of
the underlying structure. This ribbed structure was covered
-2-
with thin plastic sheet and the seams filled to form a
smooth, continuous skin. The cone was truncated at the
top at the 4 inch diameter point to provide space for
the top of the feed balun. The conductive arms were
pattern cut from aluminum sheet stock, formed onto the skin,
and held in place with rivets and screws. The various
sections of arms were spliced at the joints with aluminum
plates,Devcon aluminum epoxy,and fasteners. The completed
antennas were 24 inches in base diameter with a 27 inch
diameter mounting plate, 50 inches high, and weighed 32
pounds each.
The balun is a choke at 240 MHz, open at the feed
point and shorted one quarter wave below it. Impedance
transformation is accomplished by a quarter-wave section
of high impedance (82 ohm) transmission line.
The completed assembly was covered with 4 coats of Latex
white paint. Following calibration, four fiducial marking
strips and a top cap marker were affixed as an aid to
installation and alignment with surveying equipment.
3.0 Test and Calibration
Four types of testing were performed on the completed
antennas. Impedance (VSWR) measurements, elevation patterns
-3-
with rotating linear source dipole, and gain measurements
with a circularly polarized source antenna were all done
on Geotronics roof-top antenna range. Phase versus azimuth
measurements were made in a Government anechoic chamber at
NASA-GSFC.
Table 3-1 shows VSWR measurements for both antennas.
Table 3-2 lists gain, referred to a right-hand circularly
polarized isotropic antenna, of both antennas at three
frequencies.
Table 3-3 through 3-14 are the results of phase versus
azimuth measurements on the antennas. The various tables
represent measurements at three frequencies, two elevation
-angles, and with both vertically and horizontally'polarized
linear source antenna.
Figures 3-1 through 3-24 are elevation patterns of
the antennas. The first eight patterns were taken at 220
MHz, the second eight at 240 MHz, and the final eight at
260 MHz. In each group of eight, the first four patterns
are of antenna number one and the last four of antenna two.
Each group of four patterns represents a complete 360
elevation cut (0) at four different azimuth angles
( = 45° , 135° , 225° , and 315° ) as measured clockwise from
the "north" foot of each antenna.
-4-
Table 3-1
Antenna VSWR (ref. 50 ohms)
Freq. MHz
220
225
230
235
240
245
250
255
260
VSWR, Ant.#1
1.40
1.30
1.18
1.10
1.08
1.13
1.16
1.15
1.15
VSWR, Ant.,2
1.34
1.22
1.11
1.11
1.17
1.23
1.23
1.18
1.14
-5-
Table 3-2
Antenna Gain
(ref. RHCP isotropic)
-6-
Gain dB, Ant. #1 Gain dB, Ant. #2
Freq.MHz Range Avg Range Avg
220 7.9-8.3 8.1 7.9-8.2 8.0
240 8.0-8.2 8.1 8.0-8.3 8.2
260 8.1-8.2 8.2 8.0-8.2 8.1
Table 3-3
Frequency: 220 MIHz Elevation Angle: 28° Source Antenna PolarizationVertical
PositionerAzimuth-Angle, Deg.
0. 0'36.072.0108.0144.0180.0216.0252.0288.0324.0360.0
Phase,Deg.Ant.#1'
0.139.177.0115.1151.2
-176.5-141.6-101.9- 67.6
3.6.1- 0.3
Phase,Deg.Ant,#2
0.136.875.0112.8148.3
-178.0-142.7-104.4- 68.1- 34.4- 0.2
PhaseDifference, Deg.
#2 rel. to #1
0.0-2.3-2.0-2.3-2.9-1.5-1.1-2.5-0.5+1.7+-0 .1
-7-
Table 3-4
Frequency: . 220 MHz
-PositionerAzimuthAngle,
0.036.072.0108.0144.0180.0216.0252.0288.0'324.0360.0
Elevation Angle: 28°
Phase,Ant.A1
- 0.136.572.1106.7143.9
-176.9-141.5-108.4- 72.7- 35.9
0.2
Phase;,Ant,#2
0.136.371.3
106.2142.9
-178.9-142.5-108.2- 73.3- 36.8
0.2
Source Antenna Polarization- Horizontal
PhaseDifference
#2 rel. to #1
0.0-0.2-0.8-0.5-1.0.-2.0-1.0+0.2-0.6-0.90.0
-8-
Table 3-5
Frequency: 220 1IHz Elevation Angle: 10°
PositionerAzimuthAngle,
0.03.6.072.0
108.0144.0180.0216..0252.0288.0324.0360.0
Phase,Ant.#1
0.133.767.8
110.4149.0
-179.8-144.6-104.8- 73.7- 40.6
0.2
Phase,Ant,#2.
0.133.566.7104.6143.9179.8
-146.0-110.2- 75.8- 39.0- 0.1
Source Antenna PolarizationVertical
PhaseDifference
#2 rel. to #l
0.0-0.2-1.1
-5.8-5. 1-0.4-1.4-5.4-2.1+1.6-0.3
-9-
Table 3-6
Frequency: 220 MIHz
PositionerAzimuthAngle,
0.00 . 0 36.072.0
108.0144.0180.0216.0252.0.288.0.324.0360.0
Elevation Angle: 10 °
Phase,Ant.#1
0.138.572.2106.8145.9
-175.9-140.5-103.9- 68.5- 35.8
0.2
Phase,Ant,#2
0.136.872.0
107.4144.2
-178.7-142.4-106.1- 69.8- 35.0
0.3
Source Antenna Polarization
Horizontal
PhaseDifference
#2 rel. to #1
0.0-1.7-0.2+0.6-1.7-2.8-1.9-2.2-1.3+0.8+0.1
-10-
Table 3-7
,/Frequency: 240 MIHz
PositionerAzimuthAngle,
0.036.072.0
108.0144.0180.0216.0252.0288.0324.0360.0
Elevation Angle: 28°
Phase,Ant.#1
0.134.970.2
106.7144.1
-177.2-139.9-105.8- 71.9- 36.1
0.0
Phase,Ant,#2.
0.136.872.4
108.4146.3
-176.4-142.0-107.9- 72.5- 36.4
0.1
Source Antenna PolarizationVertical
PhaseDifference
#2 rel. to l1
0.0+1. 9+2.2+1.7+2.2
+0.8-2.]-2.1-0.6-0.3+0.1
-11-
Table 3-8
Frequency: 240 MHz
PositionerAzimuth-Angle,
0.036.072.0
108.0144.0 180.0216.0252.0288.0324.0360.0
Elevation Angle: 28°
Phase,Ant.#1
0.235.872.6
109.5144.9179.5
-144.3-106.2- 69.4- 34.7- 0.2
Phase;Ant,#2
0.136.374.8
111.6146.0
-179.9-143.8-106.3- 69.6- 34.4
0.1
Source Antenna Polarization
Horizontal
PhaseDifference
#2 rel. to 41
-0.1+0.5+2.2+2.1+1.1+0.6+0.5-0.1-0.2+0.3+0.3
-12-
Table 3-9
I. Frequency: 240 MHz
PositionerAzimuthAngle,
0.036.072.0108.0144.0 180.0216.0252.0288.0'324.0360.0
Elevation Angle: 10°
Phase,Ant.#1
0.14 0 . 440.474.9102.2129.1172.5-132.3- 95.6- 66.3- 35.9
0.2
Phase,.Ant,#2
0.145.079.9109.6142.1
-177.3-133.3- 96.5- 66.3- 37.6
0.2
Source Antenna Polarization
Vertical
PhaseDifference
#2 rel. to 41
0.0+4.6+5.0+7.4
+13.0. .+10.2- 1.0- 0.9- 0.0- 1.7
0.0
Table 3-10
Frequency: 240 MHz
PositionerAzimuthAngle,
0.036. 072.0
108.0144.0 180.0216.0252.0288.0'324.0360.0
Elevation Angle:
Phase,Ant.#1
0.00 . 035.572.5108.8143.3177.8
-145.8-108.5- 72.2- 35.4
0.0
10° Source Antenna Polarization
Horizontal
Phase,'Ant,#2
0.135.874.3111.5147.8
-177.2-142.0-104.7- 67.6- 32.8- 0.1
PhaseDifference
#2 rel. to #1
+0.1+0.3+1.8+2.7+4.5+5.0+3.8+3.8+4.6+2.6-O.1
-14-
Table 3-11
Frequency: 260 MHz Elevation Angle: 28°
PositionerAzimuthAngcjle,
0.0 -36.072.0
108.0144.0180.0216.0252.0288.0324.0360.0
Phase,Ant.#1
0.1O . 1
34.770.5
106.5143.2
-179.6-143.9-109.5- 72.8- 35.6
0.0
Phase,.Ant,#2
0.135.371.9
108.4144.7
-178.9-143.3-108.5- 72.1- 35.4
0.2
Source Antenna Polarization
Vertical
PhaseDifference
#2 rel. to #1
0.0+0.6+1.4+1 . 9
+1.5+0.7+0.6+1. 0+0.7+0.2+0.2
-15-
Table 3-12
,Frequency: 260 MHz
PositionerAzimuthAngle,
0.036.072.0108.0144.0180.0216.0252.0288.0324.0360.0
Elevation Angle: 28°
Phase,Ant.#1
0.236.073.4
110.6144.7178.4
-145.7-107.'7- 70.6- 35.2
0.4
Phase,Ant,#2
0. .
0.135.773.1110.1144.4178.3
-145.6-107.2- 69.9- 35.1.- 0.1
Source Antenna PolarizationHorizontal
PhaseDifference
#2 rel. to #1
-0.1-0.3-0.3-0.5-0.3.-0.1+0.1+0.5+0.7+0.1-0.5
-16-
Table 3- 13
Frequency: 260 MHz
PositionerAzimuthAngle,
0.036.072.0108.0144.0180.0216.0252.0288.0324.0360.0
Elevation Angle: 10°
Phase,Ant.1
0.134.566.598.3
139.6-176.6-144.5-113.5- 78.1- 37.7
0.1
Phase,'Ant,#2
0.132.967 . 1,
102.8145.8
-173.4-142.1-110.0- 73.8- 35.2- 0.1
Source Antenna Polarization
Vertical
PhaseDifference
#2 rel. to #1
O.1-1.6+0.6+4.5+6.2+3.2+2.4+3.5+4.3+2.5-0.2
-17-
Table 3-14
Frequency: 260 MHz
PositionerAzimuthAngle,
0.036-.072.0
108.0144.0 180.0216.0252.0288.0324.0360.0
Elevation Angle: 10°
Phase,Ant.#1
0.136.675.5
112.5146.3180.0
-143.5-107.1- 69.8-33.8
0.1
Phase;Ant,#2
0.136.475.3112.3145.7179.2
-144.1-106.4- 68.3- 33.0
0.0
Source Antenna PolarizationHorizontal
PhaseDifference
#2 rel. to #1
0.0-0.2-0.2-0.2-0.6-0.8-0.6+0.7+1.5+0.8-0.1
-18-
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Polar Chart No. 127D -3 5-SCIENTIFIC-ATLANTA, INC.
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4.0 Conclusions
4.1 Gain
.Measured gain, at the only point specified (zenith),
exceeded the requirement by 4 dB. Table 4-1 shows the
typical gain variation with elevation angle from one of the
patterns in paragraph 3. With Geotronics' present under-
standing that the ability to track missiles to impact is a
requirement, a serious question is raised as to the total
suitability of this pattern. The pattern of a conical spiral
is directly controllable by means of spiral angle; for ex-
ample, Figure 4-1 is the pattern of a prototype antenna
designed by Geotronics for another application. Although
the gain at the zenith is only (approximately) +2dBi, this
gain holds within approximately 2 dB down to the horizon.
Such a spiral would therefore provide more gain than the
matched pair delivered under this contract at elevation
angles between about 40° and the horizon. It is not
known, however, what impact this faster spiral rate would
have on the ability to match two antennas in their phase
1versus azimuth characteristics. Dyson and Mayes indicate
that a more linear relationship between phase and azimuth
results from slower spiral rates, but since match rather
than linearity is the requirement, the faster spiral for
broader pattern may be worth investigation.
1. Dyson,J.D., and Mayes,P.E.,"New Circulary PolarizedFrequency - Independent Antennas with Conical Beam orOmnidirectional Patterns", IRE Transactions on Antennas
and Propagation, July, 1961.
-43-
Table 4-1
~~~~~~~~~~~~~Absolute gain vs. el. angle~Absolute gain vs. el. angle
ElevationAngle, Deg. Gain dB, ref
90 (zenith)80706050403020100 (horizon)
r.h.c.p. isotropic
8.17.97.56.34.72.5
-0.4-4.1-8.4-12.4
-44-.
Elevation Pattern, Fast-Spiral Antenna
Polar Chart No. 127DSCIENTIFIC-ATLANTA, INC.
ATLANTA. GEORGIA
Figure 4-1
-45-
oj'.: h4 0
4.2 Bandwidth.
In general, characteristics of the antennas varied
only slightly with frequency from 220 to 260 MHz. Impedance
match was optimum at 235 to 240 MHz, while pattern,gain,
axial ratio, and phase match characteristics show no signifi-
cant systematic variation across the band.
4.3 Impedance and VSWR.
The matching technique used met the specified require-
ments.
4.4 Circularity.
Axial ratio can be read directly from any of the eleva-
tion patterns. Table 4-2 summarizes the axial ratio at
elevations from horizon to zenith for antenna number one
- at all frequencies and two orthogonal azimuth angles.
The average of the two azimuth readings is generally 1.5 dB
or less above 50 ° elevation and 3 dB or less above approxi-
mately 35° elevation.
4.5 Equiphase Characteristics
Table 4-3 summarizes the worst excursions from phase
match for each of the twelve measurement conditions detailed
in Tables 3-3 through 3-14. Examination of the data shows
better match at 28 ° elevation than at 10°; it was not
possible to make measurements at higher angles in the facility
available. With the patterns showing axial ratios on the
-46-
Table 4-2
Axial Ratio vs. elevation (SN 1)
ElevationAngle, Deg.
Ratio,dB at220 MHz
~=45° c=135° avg.
Ratio, dB, at240 MHz
q=45° p=135° avg.
Ratio, dB,260 MHz
p=45° ~=136°
90 (zenith)8070
0.91.01.2
60 1.050 1.140 1.530 3.220 5.410 8.50 (horizon)13.5
1.81.81.92.02.23.24.96.58.09.0
at
avg.
1.41.41.61.51.62.44.06.08.2
11.2
1.11.0.0.90.51.12 .03.04.76.2
13.0
0.81.01.00.80.31.33.05.18.516.5
1.01.01.00.60.71.63.04.97.4
14.8
1.51.40.80.91.82.84.25.07.514.0
0.60.50.70.71.21.82.84.58.0
17.0
1.01.00.80.81.52.33.54.87.815.5
-47-
Table 4-3
Summary - Worst Excursion from Phase Match
Freq.-MHz
220240260220240260220240260220240260
Elev.,Deg.
282828282828101010101010
SourcePolarization
Vert.Vert.Vert.Horiz.Horiz.Horiz.Vert.Vert.Vert.Horiz.Horiz.Horiz.
ExcursionPhase Angle @ Az. Angle
-- 2.9 °
+2.2 °
+1 . 9 °
-2.0 °
+2.2 °
+ 0.7 °
- 5.8°+13.0°
+6.2 °-2.8°
+5.0 °+1.5 °
@ 144°
@ 72 °
@ 108 °
@ 180°
@ 72 °
@ 288°
@ 108 °
@ 144°
@ 144°
@ 180°
@ 180°
@ 288°
and 144°
-48-
order of 7 to 9 dB at the 10° elevation and gain some 16 dB
down from peak, it should not be too surprising that the
phase match is relatively poor. In general, antenna character-
istics are difficult to control and, in fact, difficult to
measure near nulls in the pattern. It is believed that the
design goal phase match specifications probably would be-met
within the 3 dB beamwidth, had the facility permitted measurement
at those elevation angles. It is possible that a fast spiral
with better control of gain and axial ratio down to the horizon
(see Figure 4-1) would permit the goal to be achieved. It is
not known how the results would have been affected by use of a
circularly polarized source antenna.
As described in paragraph two, the antennas were hand-
built and include splices and fasteners. If facilities existed
for manufacture of this size and type antennas with auto-
matically controlled machinery or photographically-based techniques
(chemical etching, etc.), a better phase match might be obtained.
4.6 New Technology
No new technology was developed in the course of per-
formance of this contract.
-49-