National Bureau of Standards

Library, N.W. Bldg

OCT 2 5 1965

NATL INST, OF STAND & TECH

A111D7 2D?fl31

ecknlcuL vcote *^o. ao6-5

THE NORMAL PHASE VARIATIONS OF THE

16 kc/s SIGNALS FROM GBR OBSERVED

AT COLLEGE, ALASKA

J. H. CRARY AND A. C. MURPHY

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS
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NATIONAL BUREAU OF STANDARDS

technical ^ote. 206-5

ISSUED September 30, 1965

THE NORMAL PHASE VARIATIONS OF THE 16 kc/s

SIGNALS FROM GBR OBSERVED AT COLLEGE, ALASKA

J. H. Crary and A. C. Murphy

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: 30$

CONTENTS

Page

Abstract 1

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 and Sunset Variations 3

k. Phase Stability 3

5. Acknowledgment h

6. References , . . . . 5

Figures 6

Tables 21

111

The Normal Phase Variations of the l6 kc/s Signals

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

J. H. Crary and A. C. Murphy

Observations of the normal phase variations of

the 16 kc/s signals radiated from Rugby, U.K., and

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

form of 15 -day averages and standard deviations at

5 minute intervals. The relations between the diurnal

phase variations and the diurnal variation in the

percentage of the path in darkness are shown. The

values of the short term phase differences are also

given

.

Key Words: VLF, phase, normal, diurnal, England-Alaska.

1. Introduction

This is the fifth 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 64°

51' 36", long. W 1^7° 33' '^8"), of I6 kc/s transmission of GBR, Rugby,

U.K. (lat. N 52° 22' 10", long. ¥1° 11' I5"), a path length of 665I km.

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

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

1964a], Boulder, Colorado [Brady et al., 1964b] and College, Alaska

[Crary and Murphy, I965].

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 Analysis

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 (QAV) , 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 phase changes and standard deviations for 1962,

taken from tables 1-12, are plotted in figtires 1 and 2. The average

diurnal phase change for 1962 is 125°. Because of the annual change

in the diurnal variation of illumination, this value is difficult to

interpret. The maximum diurnal phase change of 315° during the 15-day

periods shown in table 13 occurs from September 25 to October 5. During this period the illumination should be nearly symmetrical about

the equator and should change from zero to 100'^. According to the mode

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

to a change in the effective height of the ionosphere along the whole

path of 20.8 km (assuming that the ionosphere is sharply boiinded and

that the mean of the daytime and nighttime heights is 80 km)

.

3.1 Seasonal Variation in Dixirnal Phase Change

The meetn diurnal phase chajige for each 15-day period is listed in

table 13. The seasonal variation in diurnal phase change is plotted in

figure 15 versus the percentage diurnal change in illumination along

the path. The approximately linear relationship between the relative

phase change and the change in illumination is apparent from this figure

although a large amount of scatter is present, especially when the

illumination is changing rapidly. Because of this large amount of

scatter and the rapid variations in ill\jmination that occur along this

path, it was not deemed worthwhile to perform a Fourier analysis of the

seasonal variation in the diurnal height change.

3.2 Variation of Phase with Amount of Illiominated 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 more detailed examination

of the 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 .3-1^} which show the sunrise and sunset variations for each 15-day

period for I962. The figures have been drawn so that the maximum diurnal

phase variation of 315° fits the full "percent darkness" scale in each

case.

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

way described by Brady and Crombie [1964] and Crary [I965]. It is

assumed in these calc-ulations 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 Stmrise and Sunset Variations

Figures 3-1^ show that the smooth diurnal phase change follows fairly

closely the percentage of the path in darkness. On a high latitude path,

such as this one, the sunrise and sunset times change very rapidly at

most times of the year. It is therefore difficult to make generalizations about the details of the time of the phase changes relative to the

percentage of the path in darkness. In general the phase is bracketed

fairly well by the ground and 80 km (or alternatively X = 90 or 97°) curves

.

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 path

being considered have been given in each paper.

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

are also plotted in figures 1 and 2. Since this is a high latitude path,

the diurnal and seasonal variations in illumination are very rapid. The

time intervals in which maximum darkness or daylight occurs can be very

short in summer or winter, respectively; daylight or darkness does not

always occur under these conditions.

During the hours when the path is completely daylit, the day-to-day

standard deviations have a value of about 10° without any seasonal trend

being apparent. When the path is dark, the day-to-day standard deviations

vary between about 10° and 30° , again without a perceptible seasonal

variation. A change of 1° in phase corresponds to a calculated change in

the effective height of the ionosphere of O.O65 km along the entire path.

If these observed phase changes are considered to occur along the whole

path, they are equivalent to effective height changes of 0.7 km during

the day and 0.7 to 2.1 km during the night.

The method of obtaining the short term phase variations has been

described in the first of this series [Brady et al. , 1963]. Table l4

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 each month 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. During the summer months there

is also a general tendency for the magnitude of the fluctuations for

small T to be greater at night than during the day. The reverse situation tends to be true during the winter. There is a tendency for these

characteristics to also be true for large T but there are exceptions to

this. The difference in magnitude between the day and night values

tends to be greater in the summer and for large values of T.

-3-
5 . Acknowledgment

The observations at College, Alaska, were obtained by

Dr. H. F. Bates and Mr. Paul Albee of the Geophysical Institute at the

University of Alaska. The work was supported under Contract CST-7338

of the National Bureau of Standards from the Advanced Research Projects

Agency, Washington, D. C, under Order No. l83j which also supported the

work at NBS.

-4-
6. References

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

sunset times at ionospheric heights along a great circle path,

KBS Tech. Note No. 209.

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. 206-1.

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 No. 206-2.

Brady, A. H. , A. C. Murphy, and D. D. Crombie ( 1964b ), The normal phase

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

Colorado, U.S.A., NBS Tech. Note No. 206-3.

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

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

Crary, J. H. and A. C. Murphy (1965) , The normal phase variations of

the 18 kc/s signals from NBA observed at College, Alaska, U.S.A.,

NBS Tech. Note No. 206-h (to be published).

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 IO5B, 301-304.

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

radio transmission, Proc. IRE 4_5, 794-803.

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

Press, London.

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