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X X X XX X X X X X X X X X X J D 0 Z LU 1 H- r) _j CE z Cr) Lloyd's mirror at 250 megahertz: Footnote on antarctic telemetry E.A. BERING, III, J.R. BENBROOK, and J.R. THEALL Physics Department University of Houston at University Park Houston, Texas 77004 This paper presents the results of a study of the performance of ultra-high-frequency telemetry antennas when operating at Amundsen-Scott Station, South Pole. This study was motivated by an operational need of the 1985-1986 South Pole balloon campaign (Bering, Benbrook, and Matthews, Antarctic Journal, this issue) to determine the range to the balloons by using the observed 250 megahertz radio telemetry signal strength and receiving antenna pointing angles. In this paper, we present a sample of the data and the results of the modeling that has been done to understand the data. The effects of the ground on antenna performance in the temperate zone are well understood (Ma 1974). In inhabited areas, the ground surface around an antenna is broken up by various irregularities. As a result, the signal that is reflected from the ground into an antenna is the composite of many incoherent reflections from different surfaces, a phenomenon known as ground clutter. The theoretical treatment of ground clutter is difficult for realistic cases. Therefore, antenna theory usually treats the ground as a smooth, planar surface. The reflected signals then appear as coherent signals from a mirror image of the source. Electrically, the material is usually consid- ered to be a conductor, with some variation in conductivity included to allow for the differences between dry soil and seawater. Furthermore, since fixed base communication sys- tems tend to use horizontal polarization, this case is treated more frequently in the literature than is vertical polarization. 0 *10 c cJ.00 10.00 20.00 30.00 40.00 50.00 E0.00 0 ANTENNA HEIGHT: ).82 ft X X X X 9 X Xxt X * X X X XX X X UJ Cn CE LU P 0 N 0.00 10.00 20.00 30.00 40.00 50.00 60.00 GROUND RANGE, KM *101 Figure 1. A sample of the raw tracking data from balloon flight 7. The abscissa is ground range in kilometers (km). The triangles refer to the left- hand ordinate and indicate the elevation angle of the 7.62-meter (M) antenna (900 is horizontal). The crosses refer to the right-hand ordinate and indicate the signal strength into the receiver (-120 dB = lpW). ("dB" denotes "decibel." "pW" denotes "picowatt.") 270 AN1ARCTJC JOURNAL c E C LLJC\ —J z cEo 0 crc z LU CE LJcD LU ry Li - Co 0 CD 0 0 A A AA A AA A A AA A A A A AA A AAA A A&AA' A A A AA AA Ab A A A A A AA AA A LA A A A A AA A AA A A AA A AA A X X X X X IN X

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Page 1: 10 - Amazon S3 · N 0.00 10.00 20.00 30.00 40.00 50.00 60.00 GROUND RANGE, KM 101 Figure 1. A sample of the raw tracking data from balloon flight 7. The abscissa is ground range in

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Lloyd's mirror at 250 megahertz:Footnote on antarctic telemetry

E.A. BERING, III, J.R. BENBROOK,

and J.R. THEALL

Physics DepartmentUniversity of Houston at University Park

Houston, Texas 77004

This paper presents the results of a study of the performanceof ultra-high-frequency telemetry antennas when operating atAmundsen-Scott Station, South Pole. This study was motivatedby an operational need of the 1985-1986 South Pole ballooncampaign (Bering, Benbrook, and Matthews, Antarctic Journal,this issue) to determine the range to the balloons by using the

observed 250 megahertz radio telemetry signal strength andreceiving antenna pointing angles. In this paper, we present asample of the data and the results of the modeling that has beendone to understand the data.

The effects of the ground on antenna performance in thetemperate zone are well understood (Ma 1974). In inhabitedareas, the ground surface around an antenna is broken up byvarious irregularities. As a result, the signal that is reflectedfrom the ground into an antenna is the composite of manyincoherent reflections from different surfaces, a phenomenonknown as ground clutter. The theoretical treatment of groundclutter is difficult for realistic cases. Therefore, antenna theoryusually treats the ground as a smooth, planar surface. Thereflected signals then appear as coherent signals from a mirrorimage of the source. Electrically, the material is usually consid-ered to be a conductor, with some variation in conductivityincluded to allow for the differences between dry soil andseawater. Furthermore, since fixed base communication sys-tems tend to use horizontal polarization, this case is treatedmore frequently in the literature than is vertical polarization.

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Figure 1. A sample of the raw tracking data from balloon flight 7. The abscissa is ground range in kilometers (km). The triangles refer to the left-hand ordinate and indicate the elevation angle of the 7.62-meter (M) antenna (900 is horizontal). The crosses refer to the right-hand ordinate andindicate the signal strength into the receiver (-120 dB = lpW). ("dB" denotes "decibel." "pW" denotes "picowatt.")

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Page 2: 10 - Amazon S3 · N 0.00 10.00 20.00 30.00 40.00 50.00 60.00 GROUND RANGE, KM 101 Figure 1. A sample of the raw tracking data from balloon flight 7. The abscissa is ground range in

The problem posed by a balloon telemetry system operatingin Antarctica is unusual in several respects. The ice sheet is, ingeneral, smoother and flatter than the surface in the vicinity ofthe usual balloon facility. Furthermore, the snow surface is adielectric and not a conductor. At the frequency used by theballoon telemetry system, 250 megahertz, the real part of theindex of refraction of the snow surface near the South Pole isapproximately 1.3 and the imaginary part is negligible (Grenfellpersonal communication). Finally, the optimum telemetry an-tenna for a free-flying balloon is a vertically oriented half-wavedipole that transmits vertically polarized signals.

The telemetry system that was used on the balloon consistedof a 400 milliwatt, 250 megahertz FM transmitter radiatingthrough a vertical half-wave dipole. The receiving antennaewere General Instrument model Y10313-250 TACO 10 elementYagis mounted with the elements in the vertical plane at 2.18,3.78, and 7.62 meters above the snow surface. All three anten-nae were connected to high gain (26 decibel), low noise (0.5

decibel) pre-amplifiers, and good FM telemetry receivers. Signallevels were monitored by digital voltmeters measuring the auto-matic gain control levels from the receivers. The automatic gaincontrol levels were calibrated by means of a radio-frequencygenerator connected directly to the pre-amp inputs.

Independent measurements of the balloon range were madeby two methods: theodolite sighting and active tone ranging.The latter was done on three flights. The signal strength, track-ing angles, and other parameters were recorded by the groundstation operators at regular intervals. Antenna pointing wasaccomplished by monitoring the automatic gain control voltage,locating the 3-decibel down points on either side of the max-imum and calculating the midpoint. Comparison of theazimuth data with theodolite data indicated that this procedurehad an uncertainty of about a degree.

The best combination of theodolite and tone ranging datawere acquired during flight 7. Figure 1 shows the signalstrength and antenna elevation angle data from the 7.62-meter

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Figure 2. Results of the model antenna performance calculation for the 7.62-meter (m) antenna. The axes are the same as in the previous figure.The solid line gives the actual elevation of the balloon. The curve marked with plus signs indicates the antenna elevation angle at whichmaximum power will be received. The squares indicate the signal strength. ("km" denotes "kilometers?' "dB" denotes "decibels?')

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1986 REVIEW 271

Page 3: 10 - Amazon S3 · N 0.00 10.00 20.00 30.00 40.00 50.00 60.00 GROUND RANGE, KM 101 Figure 1. A sample of the raw tracking data from balloon flight 7. The abscissa is ground range in

height antenna during flight 7 plotted as function of range. Thisfigure is typical of the results that we obtained throughout thecampaign in that the data were not monotonic functions ofrange. What we were observing was a radio example of two-beam interference, where the interfering signals were directsignal from the balloon and its reflection from the snow surface.Interference between the signal from a source and its image in amirror is an experiment known in classical optics as "Lloyd'smirror" (Born and Wolf 1965).

To use the signal strength and pointing angle data for track-ing, it has been necessary to develop a quantitative understand-ing of the behavior of the antenna under the unusual circum-stances prevailing at South Pole. The model incorporates theemission pattern of the transmitting antenna (Jackson 1975), theinverse square law, the Fresnel coefficient for reflection of avertically polarized wave from the surface of a dielectric (Bornand Wolf 1965; Jackson 1975), the pattern of the receiving anten-na (Ma 1974), and two-beam interference. The snow surface isassumed to be smooth, horizontal, and to have an index ofrefraction of 1.3. The model assumes a fixed balloon altitude of33 kilometers above mean sea level, and calculates, for a given

slant range, the ground range, the signal strength, the actualballoon elevation and the antenna elevation angles at whichmaximum power will be received. The latter differs from theformer because elevating the antenna above the actual directionin a minimum will reduce the strength of the interference termrelative to the main signal, and vice-versa.

The results from this calculation for the highest and lowestantennae are shown in figures 2 and 3 respectively. The resultsin figure 2 are the ones that compare with the data in figure 1.There are several differences between the actual situation andthe assumptions of the model: the snow was not perfectlysmooth on a scale of a wavelength (1.2 meters), the balloon wasnot at a constant altitude, nor exactly at 33 kilometers, the powerof the transmitter was temperature dependent, and there weresome systematic errors in the tone-ranging data that have notbeen corrected. Nonetheless, the agreement between the dataand the model is remarkably good. The minima in signalstrength at approximately 140 and approximately 220 kilo-meters are at essentially the same distance in both figures, andthe depths of the observed minima correspond with the predic-tions of the model. At 400 kilometers, the tone-ranging signal

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Figure 3. Same as figure 2, showing the model results for the 2.18-meter (m) antenna. ("km" denotes "kilometers?' "dB" denotes "decibels?')

272 ANTARCTIC JOURNAL

Page 4: 10 - Amazon S3 · N 0.00 10.00 20.00 30.00 40.00 50.00 60.00 GROUND RANGE, KM 101 Figure 1. A sample of the raw tracking data from balloon flight 7. The abscissa is ground range in

was too faint for the unpreamplified tone-ranging receiver toprovide reliable data.

In conclusion, we have evaluated a model of an ultra-high-frequency Yagi antenna detecting vertically polarized signals inthe vicinity of a dielectric, non-conducting substrate. In thisconfiguration, the antenna forms a radio frequency version ofLloyd's mirror and exhibits two-beam interference. The modelhas been compared with telemetry data from the 1985-1986South Pole balloon campaign and gives good agreement. Themost significant conclusion that can be drawn from this result isthat the top approximately 1 meter of snow surface near theSouth Pole is very smooth at wavelengths between 10 cen-timeters and a few meters.

The members of the field team were James R. Benbrook;Edgar A. Bering, III; Jenny M. Howard; David M. Oró; EugeneC. Stransbery; and Jeffrey R. Theall. Bering, Oró, Stansbery,and Theall left the United States on 26 November, arrived atMcMurdo Station on 29 November, and arrived at South Pole

Station on 2 December, 1985. Benbrook and Howard left theU.S. on 29 November, arrived at McMurdo Station on 2 De-cember and arrived at South Pole Station 12 December. Theentire party left South Pole Station on 18 January and leftMcMurdo on 23 January 1986.

This research was supported by National Science Foundationgrant DPP 84-15203.

References

Bering, E.A., J.R. Benbrook, and D.L. Matthews. 1986. The 1985-1986South Pole balloon campaign. Antarctic Journal of the U.S., 21(5).

Born, M., and E. Wolf. 1965. Principles of optics. Oxford: Pergamon Press.Grenfell, T. 1985. Personal communication.Jackson, J.D. 1975. Classical electrodynamics. New York: John Wiley &

Sons.Ma, M.T. 1974. Theory and application of antenna arrays. New York: John

Wiley & Sons.

A statistical analysis of auroral activityat South Pole Station, Antarctica,

1983-1985

F.T. BERKEY and C.N. KELLY

Center for Atmospheric and Space SciencesUtah State University

Logan, Utah 84322-3400

The geographic and geomagnetic coordinates of Amundsen-Scott South Pole Station (90°S) combine to provide unusualopportunities for conducting optical observations of the daysideaurora (Akasofu 1978). One of the instruments monitoring au-roral activity at South Pole Station is a 35-millimeter all-skycamera, which records images of the night sky at a rate of oneper minute. For the 3-year period beginning in 1983, the obser-vations have been used to derive statistics on the occurrence ofthe aurora australis in a 100 latitude interval centered at approx-imately 75°S invariant latitude.

A simple index was compiled, which represents the numberof minutes during each hour that aurora was visible. If theduration of visible aurora was less than 5 minutes, it was notrecorded. All available data were incorporated, including thoseauroras recorded under overcast or ice fog conditions.

Using this index, the diurnal variation of auroral activity wasderived and is shown in figure 1, for each of the three australwinter seasons (mid-April to mid-August). Two maxima in thedistribution are prominent, one occurring near 11 universaltime and a slightly smaller peak at 19 universal time. The mini-ma at 15 universal time occurs at magnetic noon, and it seemslikely that this minima represents the often reported middayauroral gap (Cogger et al. 1977). Since the threshold of the all-sky camera is approximately 1 kiloRayleigh at 5577 Angstroms

(Eather 1979), it cannot be determine from these data if theauroral gap is a spatial discontinuity or merely a decrease inauroral brightness. A second minima occurs near 05 universaltime, or approximately 2 hours after magnetic midnight.

In 1983, the camera was not operated when the moon wasvisible or if the sky was overcast. During both 1984 and 1985, the

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Figure 1. The occurrence of visual auroras at South Pole Stationduring the 1983, 1984, and 1985 austral winters as a function ofuniversal time. The ordinate represents an averaged value of activityin minutes per hour. The solid line denotes data for 1983, the heavydashes 1984, and the small dashes 1985. The times of local magnet-ic noon and midnight are indicated by arrows.

1986 REVIEW 273