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THE NORMAL PHASE VARIATIONS OF

THE 18 KC/S SIGNALS FROM NBA

OBSERVED AT MAUI, HAWAII

j-QC: 100amiCft»<

A. H. BRADY, A. C. MURPHY, AND D. D. CR0M6IE

U. S. DEPARTMENT OF COMMERCENATIONAL BUREAU OF STANDARDS

NATIONAL BUREAU OF STANDARDS

technical ^Ylote 206-2Issued March 19, 1964

THE NORMAL PHASE VARIATIONS OF

THE 18 KC/S SIGNALS FROM NBA

OBSERVED AT MAUI, HAWAII

A. H. Brady, A. C. Murphy, and D. D. Crombie

Central Radio Propagation Laboratory

National Bureau of Standards

Boulder, Colorado

NBS Technical Notes are designed to supplement the Bu-reau's regular publications program. They provide ameans for making available scientific data that are oftransient or limited interest. Technical Notes may belisted or referred to in the open literature.

For sale by the Superintendent of Documents, U. S. Government Printing Office

Washington, D.C. 20402

Price 25<(:

CONTENTSPage

1. Introduction 1

2. Analysis of Data 1

3. Diurnal Variation of Phase 1

3.1 Seasonal Variation in Magnitude of Diiurnal Phase Change . . 2

3.2 Variation of Phase with Amount of Illuminated Path .... 2

3.3 Sunrise 3

3.^ Sunset 3

k. Phase Stability 3

5. Acknowledgments h

6. References 5

Figures 6

Tables 11

Xll

The Normal Phase Variations of the l8 Kc/s

Signals from NBA Observed at Maui, Hawaii

A. H. Brady, A. C Murphy, and D. D. Cromhie

Observations of the normal phase variationsof the 18 kc/s signals radiated from the CanalZone and received in Maui, Hawaii are given in theform of monthly averages and standard deviations at

five minute intervals. The relations between thediiirnal phase variations ajid the diurnal variationin the length of sunlit path are shown. The cal-

culated mean diurnal change in effective height ofreflection is 13.7 km. Values of the short termphase differences are also given.

1. Introduction

This is the second of a series of reports giving data on thenormal average phase variations of various VLF signals received overlong paths. This report deals with the reception at Maui, Hawaiij^

during I962 of the 18 kc/s signals from NBA (in the Canal Zone), a

path length of 83OO km. The first note in the series [Brady et al.

,

1963] dealt with the reception of NBA at Frankfurt in Germany.

It is the purpose of these reports merely to present the re-duced phase data, which show seasonal and diurnal effects, with aminimum of discussion. Subsequent papers will deal with specificaspects of the data from all paths.

2. Analysis of Data

All the phase data used in these reports have been recorded,scaled, and reduced in a uniform manner, as described in the first ofthe series. Tables 1-12 contain the averages (AVER) for each monthof the phase, its Standard Deviation (SDV) , and the number of observa-tions (no) used in deducing these quantities. These values are givenat 5 minute intervals. Further details will be fo.und in the firstpaper

.

3. Diurnal Variation of Phase

The mean and standard deviations from these tables are plottedin figures 1 and 2. In these figures, which show the shape of thediiarnal variation, the mean value of the phase when the path is

totally illuminated has been arbitrarily set at zero. The left hand

scale for each month is the diurnal phase scale, in degrees, while onthe right of each figure is the standard deviation scale, also in

degrees. Ground sunrise and sunset at each end of the path are denotedby SR and SS on the diiirnal phase curves.

As in the case of the NBA-Frankfurt path, the meeui diurnal phasechange exhibits the trapezoidal shape [Pierce 1957; Crombie et al.,

1958] characteristic of long paths at medium latitudes.

3.1 Seasonal Variation in Magnitude of Diiirnal Phase Change

The meain diiirnal phase variation for each month is shown in

figure 3. Fourier analysis of these points yields the annual and semi-

annual components, which are also shown in the figure. The averagevalue for the twelve months is approximately 27^ with a semiannualvariation of ±20°, and an annual variation of the same magnitude. It

will be seen that the diurnal phase change is least during the equi-noxes and greatest in winter and summer. Using the calculations ofWait [I959j 1962], which relate the diurnal phase change to thecorresponding change in effective height of the ionosphere, it is

found that the equivalent diurnal height change averaged over theyear is approximately 13.7 km. During winter and summer it is increas-

ed to 15 km and falls to 12.5 km during the equinoxes. The scattershown by the experimental points in figiire 3 is quite large however,and the fitted curves are probably not significant.

3.2 Variation of Phase with Amount of Illuminated Path

It was noted earlier, in accordance with other studies, that thediurnal phase delay follows the diurnal variation of the length of thepath in darkness (or daylight) . This is brought out more clearly in

figures h and 5. In these two figures the mean phase variations nearsunrise and sunset for the months of March, June, September, andDecember have been plotted on curves showing the percentage of thepath in darkness at ground level and at a height of 80 km, for thefour months. In making these calculations [Brady and Crombie, I96U]it has been assumed that the screening height of the earth's atmosphereis 30 km. Thus the two calculated curves in each case represent solarzenith angles of 90° and 97° , approximately. The phase curves and thecurves showing the percentage of path which is illuminated have beenfitted together so that 100*^ on the illumination scale also represents100'^ of the diurnal variations.

3.3 Sunrise

The figures show that the smoothed morning phase change followsclosely the length of illuminated path. Because of the oscillatoryvariations in phase which occur, especially towards the end of thesunrise variation, it has not proved possible to determine thealtitude at which the morning phase shift and sunrise are most close-ly related. The oscillatory phase variations are believed to be due

to interference between two waveguide modes excited in the nighttimeportion of the path [Crombie, 196^]. The fading period suggests thatfor this path the phase velocities of the two interfering modes are

more nearly equal than in the case of the NBA-Frankfurt path.

3.^ Sunset

Figures k and 5 show that the dependence of the evening phaseshift on the fraction of the path which is illuminated is much weakerthan at sunrise. . In particular, although the major phase shiftcommences about the time of sunset at the transmitter, the phase doesnot reach its final value until about 2 hours after sunset (even at

80 km) occurs at the receiver. The curve for November (figure l) is

of particiilar interest in that it suggests that the final effectiveheight of reflection for this month may not be reached until just be-fore sunrise occurs.

k. Phase Stability

It was pointed out in the first paper of this series that boththe day-to-day phase stabilities and the phase variations over periodsof time up to an hour or so were of interest, and typical values forthe NBA-Frankfurt path were given there.

The day-to-day standard deviations of phase observed at Maui aregiven at five minute intervals for each month in tables 1-12, and arealso plotted in figures 1 and 2. During daylight hours the day-to-daystandard deviations range from about 6° during the winter (January andDecember) to about 12° during the summer (June, July, and August).During hours when the path is completely dark, the average standarddeviations range in no consistent manner between 35° (April) and 66°

(November)

.

The short term phase variation can be described by means of therms difference of observations separated by a time T [Brady et al.

,

1963].

Table 13 contains the rms phase differences for time intervalsof 10 to 90 minutes for day and night conditions during the months ofFebruary, April, June, August, October, and December of I962 for the

NBA-Maui path. Several interesting features are shown in the table.It is clear that the rms phase differences increase as the time inter-val T increases, when T is small, but that on the whole the phasedifference appears to be reaching a constant value when T is 90minutes. The table shows that the nighttime phase deviations areappreciably greater than those observed during the day, especiallyduring August, October, and December when the ratio of the nighttimeto daytime deviation is between h and 5. In February and June theratio is about 1.5j while in April the deviations are nearly equal.

For this path a change of phase of 1° corresponds approximatelyto a chamge in effective height of 0.05 km. Thus the observed rmsphase deviations which range from 3° to 72° correspond to rms varia-tions in the effective height of the ionosphere over the whole path ofbetween 0.15 suad 3.6 km, if it is ass\jmed that the fluctuations are

entirely due to the ionosphere.

5. Acknowledgments

The observations at Maui have been obtained by Mr. Sadami Kataharaof the NBS Field Station. The work reported here was supported by theAdvanced Research Projects Agency, Washington, D. C, under Order No.

183.

6. References

Brady, A. H., axid D. D. Crombie (1964), Calculation of simrise and

sunset times at ionospheric heights along a great circle path,

NBS Tech. Note No. 209 (to be published).

Brady, A. H., A. C. Murphy and D. D. Crombie (1963)5 The normal phasevariations of the I8 kc/s signals from NBA observed at Frankfurt,Germany, NBS Tech. Note No. 206-l.

Crombie, D. D. (1964), Periodic fading of VLF signals received overlong paths during sunrise and sunset. Radio Sci. J. Res. NBS/USNC-URSI 68D , No. 1, 27-34.

Crombie, D. D., A. H. Allan, and M. Newman, (May I958) j Phase varia-tions of the 16 kc/s transmission from Rugby as received in NewZealand, Proc. lEE, 105B, 301-304.

Pierce, J. A., (195?) ? Intercontinental frequency comparisons by VLFradio transmission, Proc. IRE, 45, 794-803.

Wait, J. R., (Nov. 5j 1959)9 Diurnal change of ionospheric height de-duced from phase velocity measurement at VLF, Proc. IRE, 47, 998.

Wait, J. R., (Feb. 1962) , Comments on a paper by W. D. Westfall,Prediction of VLF diurnal phase changes and solar flare effect,J. Geophys. Res., 67, 916-917.

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The normal phase variations of the 18 kc/s ... - Govinfo.gov

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