Phase Steps and Amplitude Fading of VLF Signals at Dawn and Dusk D
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RADIO SCIENCE Journal of Research NBS/USNC-URSI Vol. 69D, No. 11, November 1965 Phase Steps and Amplitude Fading of VLF Signals at Dawn and Dusk D. Walker Ministry of Aviation, Royal Aircraft Establishment, S. Farnborough, Hampshire, England (Received March 12, 1965; revi sed June 28, ]965) An experiment is described which tests the consequences of an explanation by Crombie of phase steps and amplitude fading at dawn and dusk. It is concluded that the ex planation is valid at 18.0 kc/s for the types of path studied. 1. Introduction 120 The diurnal phase variation of VLF signals over l' ( 0) N BA - NAIROBI ,..., long paths is generally in the form of a trapezium ,.... >< <1l IZS50 ~m 0 [Pierce, 1955] where all night conditions over the [( J- - a.... path correspond to one steady-phase level, and all day 80 - 4: ~ OJ -' conditions over the path correspond to the other steady w -3 c uJ 0 phase level. The idealized transition from one phase uJ :> level to the other during dawn and dusk completes the 'fl 40 -12 30 t: :r -' 0. a.. straight sides of the trapezium, and this paper dis -' ~ « 20 "- cusses deviations from this in the form of phase steps z ;i, '";n z during the transition period. The phase steps are 10 0 ";n accompanied by signal fading, and this had in fact been noticed before trans mitter frequencies were stable 0 enough to detect the diurnal phase variations [Ander 00 04 OB 12 1& 20 >4 son, 1928]. Attempts were made to explain the ampli 1IME,U1 tude fading by Yokoyama and Tanimura [1933] and the phase steps by Rieker [1963]. Both explaniltions 100 - were based on single-ray geometrical optics, but it has 1 been pointed out by 13udden [1961] and Wait [1962a] ,..., >< ,.... 0 t that many rays are needed to explain VLF propagation dl 0: over very long paths. Crombie [1964] put forward J.- 110 a.... " an explanation based on the use of modes in the earth ~ ~'" w-' w ionosphere waveguide in which two modes are present c 0 ...:> in the nighttime part of the path and only one mode in :M :; <; a. daylight. He s howed that this explanation fitted most iE ~ -' 4: of the observed facts and that it had consequences z4: -' :i which were capable of verification by further experi '"on 0 30 <.!J mental evidence. on An experiment is described in this paper which :00 produced results in support of Crombie's explanation. The experiment involved the use of a mobile monitor 00 04 OB 12 16 20 24 TIME)UT station on board ship, and a permanent ground moni tor station, both of which recorded the phase and FIGURE 1. NBA 18.0-kc/s phase (cp) and amplitude (A) records, amplitude of NBA 18.0-kc/s signals from Balboa, 6 December 1963. Canal Zone. The consequences of Crombie's explanation are studied in more detail, and it is shown that the dif- ference in phase velocity and the differ. ence in attenu 2. Explanation of Phase Steps Put Forward I ation rate for the two lowest order modes at night can by Crombie be deduced from experimental data. Information can also be obtained on the transmitter Phase steps and signal fading similar to that illus excitation factor and the mode conversion at the trated in figure 1 were studied by Crombie [1964] ionosphere discontinuity. on the transmissions of NPM (19.8 kc/s), Hawaii, to 1435 781-7000- 65 - 4 Boulder, Colo., and NBA (18.0 kc/s), Canal Zone, to the nighttime height of ionosphere which determines Frankfurt, Germany. He noted that: the two mode velocities, and hence the distance moved (1) The rapid change of phase took place at the same by the dawn-dusk line between minima). However, time as the amplitude minimum; the experimental evidence in support of the simul (2) the rapid phase change was in the direction of taneity of the minimum signal at sunrise was slight, decreasing phase delay during sunrise, and of increas· and none was available to show that at sunset the inter ing phase delay during sunset (i.e., in the same ference pattern moves with the sunset line. Thus direction as the general phase change at these times); the explanation, while fitting the general facts, had (3) during sunrise, the deepest minimum occurred not been verified by any substantial amount of experi- , latest in time, i. e., with the dawn line closest to the mental evidence. transmitter, but during sunset the evidence from the The principal object of this paper is to describe an two paths was not so definite; experiment in which the main consequences of (4) NPM signals received at Boulder and at Wash· Crombie's explanation have been verified. The ington (almost on a great·circle line from Hawaii) experiment is described in section 3, and the analysis seemed to show that the minima during sunrise oc· of the results is discussed in section 4. curred at the same time at the two places, to within The consequences of the explanation by Crombie 5 min or less (only a few days' observations were are discussed more fully by taking into account the available); and transmitter excitation factor, the mode conversion (5) the distance moved by the dawn·dusk line along coefficient at the dawn-dusk discontinuity, and the the transmitter-receiver paths between times of signal attenuation rates of the first two waveguide modes. minima was the same for sunrise and sunset. None of these factors were considered in detail by Crombie put forward a model similar to that illus Crombie. The relationships derived are applied to trated in figure 2 to explain the observations. He the experimental data in section 4 to give the difference assumed that at sunrise, for a west-to-east trans in phase velocity and the difference in attenuation mission, two waveguide modes are present in the dark rate for the first two modes at night. By assuming a part of the path between the transmitter and the dawn theoretical value for the excitation factors of mode 1 discontinuity, but that at the discontinuity the second and mode 2 at night, an estimate is made of the ratio mode is converted to first mode, so that no second of the two lowest order mode conversion coefficients mode exists in the daylight part of the path. He at the dawn discontinuity. showed that the consequences of these assumptions are that when destructive interference takes place to 3. Experimental Data give a voltage minimum, the rapid phase change is The two main consequences of Crombie's explana in the observed direction, and that all points to the tion of the dawn-dusk phase steps are that, for a W -to·E east of the dawn discontinuity should experience the path, signal minimum simultaneously, which agrees with (1) At dawn, all points to the east of the discontinuity the few days' observations quoted above. should experience the signal minima simultaneously; In order to explain the sunset phenomena, Crombie (2) at dusk, the interference pattern should be on assumed that only the first waveguide mode exists the dark side of the discontinuity and should move between the transmitter and the discontinuity, but with the discontinuity so that the time of occurrence that some second mode is generated at the discon of minimum signal should depend on the location of tinuity, so that between this point and the receiver, the receiver. in the dark part of the path, two modes are present, The verification of both of these results could be and an interference pattern is formed which moves done ideally by placing a large number of receivers westward with the sunset line. Crombie showed at intervals along a great-circle path from a suitable that with this model, the rapid phase change associated transmitter, and simultaneoulsy recording the phase with the voltage minimum is again in the observed and amplitude of the signal at all the points. This direction. experiment was not feasible, but a permanent record Crombie's model therefore fitted observations (1), ing station at a great distance from a transmitter, (2), (4), and (5) (the latter, since in each case it is together with a mobile ' recording station moving to a different position each day along the great-circle path between the transmitter and the permanent monitor station, is a good approximation to the ideal, and this experiment has been done. dN d01 r- --1 A permanent monitor station is in operation at the MODEl "----+ IONOSPHERE+---....Y MODE I I University of East Africa, Nairobi, Kenya, and the + + MODEl MODEl MODEZ phase of received VLF signals is compared with the IV\OOE.~ phase derived from a rubidium-vapor frequency ........-:;-;NI"'GH""T-------,D""'A77V -l'" GROUND .......'NlliIG""H"'"T------,Q<\'"'"""V- ........ standard. The phase difference is recorded together TRAN5MITTER RECEIVER TRANSMITT ER RECEIVER with signal amplitude, and the phenomenon of phase .) SUNRISE b) SUNSET steps and amplitude fading can be seen clearly on the NBA 18.0-kc/s records, an example of which is given FIGURE 2. Ionosphere model for sunrise and sunset. in figure la. The path length is 12,950 km. The 1436 FIGURE 3. Path followed by H.M.S. Vidal dluin~ ExerciJe Navado. dawn steps are always very noticeable, the number made between 30 October and 21 December 1963, varying between four and seven but those at dusk are produced good quality VLF data, and this has been much less pronounced and are sometimes masked used in the subsequent analysis. The path of the by locally generated noise.