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THE NORMAL PHASE VARIATIONS OF

THE 18 KC/S SIGNALS FROM NBA

OBSERVED AT MAUI, HAWAII

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

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS

NATIONAL BUREAU OF STANDARDS

technical ^Ylote 206-2

Issued 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 Bureau's regular publications program. They provide a means for making available scientific data that are of transient or limited interest. Technical Notes may be

listed 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<(:

CONTENTS

Page

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 variations

of the 18 kc/s signals radiated from the Canal

Zone and received in Maui, Hawaii are given in the

form of monthly averages and standard deviations at

five minute intervals. The relations between the

diiirnal phase variations ajid the diurnal variation

in the length of sunlit path are shown. The calculated mean diurnal change in effective height of

reflection is 13.7 km. Values of the short term

phase differences are also given.

1. Introduction

This is the second of a series of reports giving data on the

normal average phase variations of various VLF signals received over

long 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 a minimum of discussion. Subsequent papers will deal with specific

aspects 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 of

the series. Tables 1-12 contain the averages (AVER) for each month

of the phase, its Standard Deviation (SDV) , and the number of observations (no) used in deducing these quantities. These values are given

at 5 minute intervals. Further details will be fo.und in the first

paper

.

3. Diurnal Variation of Phase

The mean and standard deviations from these tables are plotted

in figures 1 and 2. In these figures, which show the shape of the

diiarnal 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 on the right of each figure is the standard deviation scale, also in

degrees. Ground sunrise and sunset at each end of the path are denoted

by SR and SS on the diiirnal phase curves.

As in the case of the NBA-Frankfurt path, the meeui diurnal phase

change 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 semiannual components, which are also shown in the figure. The average

value for the twelve months is approximately 27^ with a semiannual

variation 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 of

Wait [I959j 1962], which relate the diurnal phase change to the

corresponding change in effective height of the ionosphere, it is

found that the equivalent diurnal height change averaged over the

year is approximately 13.7 km. During winter and summer it is increased to 15 km and falls to 12.5 km during the equinoxes. The scatter

shown 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 the

diurnal phase delay follows the diurnal variation of the length of the

path in darkness (or daylight) . This is brought out more clearly in

figures h and 5. In these two figures the mean phase variations near

sunrise and sunset for the months of March, June, September, and

December have been plotted on curves showing the percentage of the

path in darkness at ground level and at a height of 80 km, for the

four months. In making these calculations [Brady and Crombie, I96U]

it has been assumed that the screening height of the earth's atmosphere

is 30 km. Thus the two calculated curves in each case represent solar

zenith angles of 90° and 97° , approximately. The phase curves and the curves showing the percentage of path which is illuminated have been

fitted together so that 100*^ on the illumination scale also represents

100'^ of the diurnal variations.
3.3 Sunrise

The figures show that the smoothed morning phase change follows

closely the length of illuminated path. Because of the oscillatory

variations in phase which occur, especially towards the end of the

sunrise variation, it has not proved possible to determine the

altitude at which the morning phase shift and sunrise are most closely related. The oscillatory phase variations are believed to be due

to interference between two waveguide modes excited in the nighttime

portion of the path [Crombie, 196^]. The fading period suggests that

for 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 phase

shift on the fraction of the path which is illuminated is much weaker

than at sunrise. . In particular, although the major phase shift commences about the time of sunset at the transmitter, the phase does

not 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 effective

height of reflection for this month may not be reached until just before sunrise occurs.

k. Phase Stability

It was pointed out in the first paper of this series that both

the day-to-day phase stabilities and the phase variations over periods

of time up to an hour or so were of interest, and typical values for

the NBA-Frankfurt path were given there.

The day-to-day standard deviations of phase observed at Maui are given at five minute intervals for each month in tables 1-12, and are also plotted in figures 1 and 2. During daylight hours the day-to-day

standard deviations range from about 6° during the winter (January and

December) to about 12° during the summer (June, July, and August).

During hours when the path is completely dark, the average standard

deviations range in no consistent manner between 35° (April) and 66°

(November)

.

The short term phase variation can be described by means of the

rms difference of observations separated by a time T [Brady et al.

,

1963].

Table 13 contains the rms phase differences for time intervals

of 10 to 90 minutes for day and night conditions during the months of

February, 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 interval T increases, when T is small, but that on the whole the phase

difference appears to be reaching a constant value when T is 90

minutes. The table shows that the nighttime phase deviations are appreciably greater than those observed during the day, especially

during August, October, and December when the ratio of the nighttime

to daytime deviation is between h and 5. In February and June the

ratio is about 1.5j while in April the deviations are nearly equal.

For this path a change of phase of 1° corresponds approximately

to a chamge in effective height of 0.05 km. Thus the observed rms phase deviations which range from 3° to 72° correspond to rms variations in the effective height of the ionosphere over the whole path of

between 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 Katahara

of the NBS Field Station. The work reported here was supported by the

Advanced 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 phase

variations 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 over long paths during sunrise and sunset. Radio Sci. J. Res. NBS/USNCURSI 68D , No. 1, 27-34.

Crombie, D. D., A. H. Allan, and M. Newman, (May I958) j Phase variations of the 16 kc/s transmission from Rugby as received in New

Zealand, Proc. lEE, 105B, 301-304.

Pierce, J. A., (195?) ? Intercontinental frequency comparisons by VLF

radio transmission, Proc. IRE, 45, 794-803.

Wait, J. R., (Nov. 5j 1959)9 Diurnal change of ionospheric height deduced 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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