National Bureau of Standards

Library, N.W. B>.d,cr tCT25 1965

NAT'L INST OF STAND & TECH

AlllQO 115170

A111Q7 EDVaMI

^ecknlcciL ^vtote 92o. 206-4

THE NORMAL PHASE VARIATIONS OF THE

18 kc/s SIGNALS FROM NBA OBSERVED

AT COLLEGE, ALASKA

J. H. CRARY AND A. C. MURPHY

1

I. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS
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NATIONAL BUREAU OF STANDARDS

^ecUnicul ^ote .206-4

ISSUED September 30, 1965

THE NORMAL PHASE VARIATIONS OF THE 18 kc/s

SIGNALS FROM NBA OBSERVED AT COLLEGE, ALASKA

J. H. Crary and A. C. Murphy

Central Radio Propagation Laboratory

Notional 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

Wastiington, D.C. 20402

Price: 25$

CONTENTS

Page

Abstract 1

1. Introduction 1

2. Data Analyses 1

3. Diurnal Phase Variations 2

3.1 Seasonal Variation in Diurnal Phase Changes 2

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

3.3 Sunrise 2

3.h Sunset 3

h. Phase Stability 3

5. Acknowledgment h

6. References 5

Figures 6

Tables 10

111

The Normal Phase Variations of the l8 kc/s Signals

from NBA Observed at College, Alaska, U.S.A.

J, H. Crary and A. C. Murphy

Observations of the normal phase variations of

the 18 kc/s signals radiated from the Canal Zone and

received in College, Alaska, U.S.A., are given in the

form of monthly averages and 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 16 km. Values of the short term phase differences

are also given.

Keywords: VLF, phase, normal, diurnal, Panama-Alaska.

1. Introduction

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

the normal (or undisturbed) behavior of the phase of signals from

various VLF transmitters as observed at particular receiving sites.

This report deals with the reception at College, Alaska (lat. N 6^°

51' 36", long. W 1^7° 33' ^8"), of 18 kc/s transmissions of NBA in the

Canal Zone (lat. N 09° 03' 15", long. W 079° 38' 53"), a path length

of 805^ km.

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

NBA at Frankfurt, Germany [Brady et al., 1963], Maui, Hawaii [Brady et al.

,

196^a], and Boulder, Colorado [Brady et al., 1964b].

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 uniform manner as described in the first of the series

[Brady et al., 1963]. Thus tables 1-12 contain monthly phase averages

(aver) at 5 minute intervals, standard deviations (SDV), the number of

observations (NO) used in obtaining these quantities, the quiet average

(OAV) , which is the average after values more than one standard deviation

from AVER are discarded, and the number (NO) of values used in QAV.

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

series)

.
3. Diurnal 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, The

average diurnal phase change for I962 is 320 degrees. According to the

mode theory of VLF propagation [Wait, I962], a phase change of

this magnitude corresponds to a change in the effective height of the

ionosphere along the whole path of I6 km (assuming that the ionosphere

is sharply bounded 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 suggests that there may be

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

6 months component has an amplitude of about 20° and a maximum in March.

The apparent 12 month component has an amplitude of about 22° 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 represent peak-to-peak variations in the

diurnal height change of about 1.0 km and 1.1 km, respectively.

3.2 Variation of Phase with Amount of Illuminated Path

The monthly average phase variation shown in figures 1 and 2 shows

typical superficial dependence on the length of path which is in daylight

[Crombie et al., 1958; Pierce, 1957]. A detailed examination of this

relationship is given by plotting the diurnal phase changes at simrise

and sunset, together with variation in the length of illuminated path

(at appropriate heights) at these times. This has been done in figures 3

and h, which show the simrise and sunset variations for March and June

and for September and December, respectively, for I962. The figures have

been drawn so that the full diTirnal phase variation fits the full

"percent darkness" scale in each case.

The calculations of the length of illinninated path were made in the

way described by Brady and Crombie [1964], and Crary [1965]. 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 3 and h show that the smoothed sunrise phase change follows

fairly closely the percentage of the path in darkness. In most cases the

sunrise phase change started when the solar zenith angle was about 97°

•

More variability occurred in June, however, as shown in figure 3-

-2-
3.^ Sunset

Figures 3 and. h also show that the dependence of the sunset phase

change on the length of illuminated path is much weaker than at simrise.

In particular, the figures show quite clearly that during several hours

before ground sunset at the eastern end of the path, a small phase re- tardation, typically ten percent of the total diurnal change, often

occurs. This is most pronoimced in March but also occurs to some extent

in December. Then at ground sunset there is a further major phase re- tardation which generally follows fairly closely the variation in the

percentage of path in darkness. When about 70% of the path has become

dark the rate of change decreases considerably and in some cases it

takes as long as four hours after ground sunset before normal nighttime

phase value is attained.

h. Phase Stability

It was pointed out in the first paper of this series that both dayto-day phase stabilities and the phase variations over periods of time

up to an hour or so were of interest. Typical values for the NBA-Frankfurt path were given in that paper.

The day-to-day deviations of phase observed over this path are given at 5 minute intervals for each month of 1962 in tables 1-12, and

are also plotted in figures 1 and 2. D\rring the hours when the path is

completely daylit, the day-to-day standard deviations have an average

value of about 10° without any seasonal trend being apparent. When the

path is dark, the day-to-day standard deviations vary between about 20°

and ^5° J "but tend to be higher in the winter. For this path, a change

in phase of 1° corresponds to a calculated change in the effective height

of the ionosphere of 0.051 km. Thus the observed phase differences noted

above are equivalent to height changes of about 0.5 km dioring the day if

it is assumed that the fluctuations are entirely due to the ionosphere.

The nighttime values range between 1.0 and 2.3 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 difference 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, August, October and December of 1962. 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. There is a tendency for the magnitude of the fluctuations to be greater at night than during the day when T is small. The

table suggests that this is true for all the tabulated intervals T only

during the summer months. During the rest of the year a cross over from

greater night values to greater day values tends to occur for values of

T between 10 and 60 minutes. This behavior is different than that found

in the previously reported observations in this series.

-3-
5 . Acknowledgment

The observations at College, Alaska, were obtained by Dr. H.F. Bates

and Mr. Paul Albee of the Geophysical Institute of the University of

Alaska. The work was supported under contract CST-7338 of the National

Bureau of Standard from the Advanced Research Projects Agency,

Washington, D. C, under order No. I83, which also supported the work

at NBS.

-h.
6. References

Brady, A. H., axLd D. D. Crombie (1964), Calculation of sunrise and

s-unset times at ionospheric heights along a great circle path,

NBS Tech. Note No. 209.

Brady, A. H., A. C. Murphy, and D. D. Crombie (1963), The normal phase

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

Germany, NBS Tech. Note 206-l.

Brady, A. H. , A. C. Murphy, and D. D. Crombie (l964a). The normal phase

variations of the I8 kc/s signals from NBA observed at Maui, Hawaii,

NBS Tech. Note 206-2.

Brady, A. H., A, C. Murphy, and D. D. Crombie (l964b). The normal phase

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

Colorado, U. S. A., NBS Tech. Note 206-3.

Crary, J. H. (1965), Extension of programs for calculations of great

circle paths and sunrise -sunset times, NBS Tech. Note No. 303.

Crombie, D. D., A. H. Allan, and M. Newman (May 1958) , Phase variations

of the 16 kc/s transmission from Rugby as received in New Zealand,

Rroc. lEE, 105B, 301-30^.

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

transmission, Proc. IRE, h^, 79^1-803.

Wait, J, R. (1962), Electromagnetic waves in stratified media, Pergamon

Press, London.

-5-
NBA (I8kc/S. BALBOA, PANAMA) TO COLLEGE, ALASKA

AVERAGE PHASE FOR JANUARY - MARCH AND OCTOBER-DECEMBER 1962

400

350

1—I—I—

r

AVERAGE

QUIET

400

J I L L_i L J I L

00 02 04 06 10 12 14 16 18 20 22 00 00 02 04 06 08 10 12 14 16 18 20 22 00 TIME UT TIME UT

Figure 1. Mean phase variations and standard deviations in degrees

for January -March and October-December 1962,

-6-
NBA (I8kc/S, BALBOA, PANAMA) TO COLLEGE, ALASKA

AVERAGE PHASE FOR APRIL-JUNE AND JULY-SEPTEMBER 1962

J L J \ \ L J \ L

00 02 04 06 08 10 12 14 16 18 20 22 00 00 02 04 06 08 10 12 14 16 18 20 22 00 TIME UT TIME UT

Figure 2. Mean phase variations and standard deviations in degrees

for April-June and July -September 1962.

-7-
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