National Bureau of staadard Library, N,vf, g^^jg

APR 2 7 1964

A111D7 j^ED7flD7 'I

92o. 206-3

THE NORMAL PHASE VARIATIONS OF

THE 18 KC/S SIGNALS FROM NBA

OBSERVED AT BOULDER, COLORADO, U. S. A

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

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS

NATIONAL BUREAU OF STANDARDS

technical 92ote 206-3

Issued April 10, 1964

THE NORMAL PHASE VARIATIONS OF

THE 18 KC/S SIGNALS FROM NBA

OBSERVED AT BOULDER, COLORADO, U. S. A.

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. Data Analyses 1

3. Diurnal Phase Variations 2

3.1 Seasonal Variation in Diurnal Phase Change 2

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

3.3 Sunrise . .

_ 3

3.^ Sunset 3

4,. Phase Stability 3

5. Acknowledgment h

6. References 5

Figures 6

Tables 1^

iix

The Nonnal Phase Variations of the l8 Kc/s Signals

from imA Ohserved at Bo\ilder, Colorado, U.S.A.

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

Observations of the normal phase variations of the 18 kc/s signals radiated from

the Canal Zone and received in Boulder,

Colorado, U.S.A., are given in the form of

monthly averages axid standard deviations at

five minute intervals. The relations between

the diurnal phase variations and the diurnal

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

effective height of reflection is I8 km.

Values of the short term phase differences are also given.

1. Introduction

This is the third of a series of reports, each of which summarizes

the normal behavior of the phase of signals from various VLF transmitters as observed at particxilar receiving sites. This report deals

with the reception at Boulder, Colorado,jOf I8 kc/s transmissions of

NBA in the Canal Zone, a path length of k260 km.

The earlier two reports in this series deal with the reception of

NBA at Frankfurt, Germany [Brady et al., 1963]? and Maui in the

Hawaiian Islands [Brady et al., 196^].

It is the purpose of these reports merely to present the reduced

phase data, with a minimum of discussion. The data in these reports

will be used in subsequent papers^ each of which will deal with a specific aspect of the data on all the paths.

2. Data Analyses

All the phase data used in these reports have been taken, reduced,

and presented in a unifonn manner as described in the first of the

series [Brady et al., I963]. Thus tables 1-12 contain monthly phase

averages (AVER) at 5 minute intervals, standard deviations (SDV), and

the number of observations (NO) used in obtaining these quantities

(a fuller description of these tables is given in the first note of

this series).
3. Diiirnal Phase Variations

The monthly mean diurnal phase changes and standard deviations

for 1962, taken from tables 1-12, are plotted in figures 1 and 2, while

corresponding curves for 196I are given in figures 3 and h for comparison. Ground sunrise (SR) and sunset (SS) at each end of the path are marked on the ciirves of diurnal phase variation. The agreement in

magnitude and shape of the mean diurnal variations each month for the

two years is considered to be good. The average diurnal phase change

for 1961 is 186° , and for 1962 it is iQ'f . According to the mode

theory of VLF propagation [Wait, 1959, 1962], a phase change of this

magnitude corresponds to a change in the effective height of the ionosphere along the whole path of I8 km (assuming that the ionosphere is

sharply boimded and that the mean of the daytime and nighttime heights

is 80 km)

.

3.1 Seasonal Variation in Diurnal Phase Change

The mean diurnal phase change for each month is listed in table

13. Fourier analysis of these monthly means sioggests that there may be

small periodic variations having periods of 6 and 12 months. The

apparent 6 month component has an amplitude of about 7° and a maximum

between February ajid March. The apparent 12 month component also has

an amplitude of about 7° but a maximum in December. Because of the

scatter in the monthly means, these periodic components are probably

not significant. However, if they should prove to be significant,

they each represent peak-to-peak variations in the diurnal height

change of about 1.3 km.

3.2 Variation of Phase with Amount of Illuminated Path

The monthly average phase variation shown in figures 1-k shows

typical superficial dependence on the length of path which is in daylight [Crombie et al., 1958; Pierce, 1957]. A more detailed examination of this relationship is given by plotting the diurnal phase

changes at sunrise and sunset, together with variation in the length

of illuminated path (at appropriate heights) at these times. This has

been done in figures 5 and 6_,which show the sunrise and sunset variations for March and June for I961 and 1962, and in figures 7 and 8,

which are for September and December in I96I and 1962. The figures

have been drawn so that the full diurnal phase variation fits the

full "percent darkness" scale in each case.

It is clear from the figures that the variations shown for each

month are very similar for both years.

The calculations of the length of illuminated path were made in

the way described by Brady and Crombie [1964]. It is assumed in these
calculations that the screening height of the earth's atmosphere is

30 km. Sunrise or sunset at the heights of and 80 km are thus - equivalent to solar zenith angles of 90° and 97°

.

3.3 Sunrise

Figures 5-8 show that the smoothed morning phase change follows

closely the length of illuminated path. In June and September for

both years the sunrise phase change started when the zenith angle of

the sun was 97° . Dirring March, however, greater variability was

shown: In I961 the phase change commenced earlier, while in I962 it

occurred later. During December in both years oscillatory phase

variations [Crombie, 1964] occurred. They were particularly marked in

1961.

3.4 Sunset

Figures 5-8 also show that the dependence of the sunset phase

change on the length of illuminated path is much weaker than at sunrise. In particuJ-ar^the figures show quite clearly that during approximately 2 hours before ground sunset at the eastern end of the path

there is a small phase retardation, typically, 10^ of the total diurnal

phase change. Then at ground sunset there is a further major phase

retardation which follows quite closely the variation in the length of

illuminated path. This portion is about GO^o of the total phase change.

The final stage commences when about 10% of the whole path has become

dark. The rate of change of phase then becomes much less and in some cases it takes as long as h hours after ground sunset for the nighttime phase value to be finally attained.

k. Phase Stability

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

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

time up to an hour or so were of interest. Typical values for the EBAFrankfurt path were given in that paper.

The day-to-day standard deviations of phase observed at Boulder

are given at 5 minute intervals for each month of I962 in tables 1-12,

and are also plotted in figures l-h . During the hours when the path is

completely daylit^the day-to-day standard deviations have a value of

about 6° without any seasonal trend being apparent. When the path is

dark, the day-to-day standard deviations vary between about 17^^ and

26° , again without a perceptible seasonal variation. For this path, a change in phase of 1° corresponds to a calculated change in the effective height of the ionosphere of O.O96 km. Thus the observed phase

differences noted above are equivalent to height changes of about
0.6 km during the day if it is assumed that the fluctuations are entirely due to the ionosphere. The nighttime values range between

1.6 and 2.5 km.

The method of obtaining the short term phase variations has been

described in the first of this series [Brady et al., 1963]. Table

1^ contains the rms phase differences calculated in this way for intervals of 10-90 minutes (t) . The data are given for both daytime

and nighttime conditions during February, April, June, Aiigust, October,

and December of I962. As noted in the other papers of this series,

the rms phase differences increase as the time interval T increases,

particularly when T is small. Again, as for the observations of

NBA at Frankfurt and Maui there is a general tendency for the magnitude of the daytime phase fluctuations to be less than when the path

is dark. The observations at Boulder during April and October, however, are not in accordance with this. During April the daytime

fluctuations consistently exceeded the nighttime fluctuations by hOPjo

when T=10 minutes, and 100^ when T approached 90 minutes. During

October, on the other hand, the daytime fluctuations exceeded the

nighttime fluctuations only when T exceeded 50 minutes, approximately.

5 . Acknowledgment

The observations at Boiilder have been obtained by Messrs. F. K.

Steele and A. H. Diede. The U. S. Frequency Standard, maintained by

the Radio Standards Laboratory, was used as a phase reference. The

work reported here was supported by the Advanced Research Projects

Agency, Washington, D. C, under Order No. 183.
6. References

Brady, A. H., and D. D. Crombie (196^), Calculation of sunrise 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), The normal

phase variations of the I8 kc/s signals from NBA observed at

Frankfurt, Germany, NBS Tech. Note No. 206-l.

Brady, A. H., A. C. M-urphy, and D. D. Crombie (1964), The normal phase

variations of the 18 kc/s signals from NBA observed at Maui, Hawaii,

NBS Tech. Note No. 206-2.

Crombie, D. D. (l964). Periodic fading of VLF signals received over long paths during sunrise and sunset. Radio Sci. J. Res, NBS/USNCURSI 68D, No. 1, 27-3^^.

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

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

Pierce, J. A. (1957) > Intercontinental frequency comparisons by VLF

radio transmission, Proc. IRE, k^, 794-803.

Wait, J. R. (Nov. 5j 1959)? Diurnal change of ionospheric height deduced from phase velocity measurement at VIF, Proc. IRE, 47, 998.

Wait, J. R. (Feb, I962), Comments on a paper by W, D, Westfall,

Prediction of VLF diurnal phase changes and solar flare effect,

J. Geophys. Res., 67, 916-917.
250

200

150

NBA (18 kc/s. BALBOA, PANAMA) TO BOULDER, COLORADO

AVERAGE PHASE FOR JANUARY- MARCH AND OCTOBER -DECEMBER 1962

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Fig. 1. Mean phase variations and standard deviations in degrees

for January-March and October-December I962. (Note: The

dotted curve for March I961 is superimposed on the March

1962 curve because only two days of observations were

available in I962), Sunrise and sunset at each end of

the path are denoted by SR and SS on the mean phase curves,
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NBA (I8kc/S, BALBOA, PANAMA) TO BOULDER, COLORADO

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mean phase curves.
NBA (I8kc/S BALBOA, PANAMA) TO BOULDER, COLORADO

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Fig. 3. Mean phase variations and standard deviations in degrees

for January-March and October -December 1961. Sunrise

and sunset at each end of the path are denoted by SR

and SS on the mean phase curves.

8
NBA (I8kc/S, BALBOA, PANAMA) TO BOULDER, COLORADO

AVERAGE PHASE FOR APRIL- JUNE AND JULY- SEPTEMBER 1961

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