JO URNAL OF RESEARCH of the National Bureau of Standards-D. Vol. 66D, No.3, May- June 1962

Schumann of the - Cavity­ Reception at Kingston, R.I. * C. Polk and F. Fitchen

Contribution from Department of Electrica l En gineering, University of Rhode Islan d, Kingston, R. I.

(Received December 1, 1961 ; revised J a nuary 2, 1962)

Sin ce June 1961 magnetic fields of natural origin in t he 5 to 20 cis frequency range have been recorded in Kingston, R.I. The experimental equip mellt is described briefly, and results are presented. Variations wit h t ime of the first reSOO

1. Introduction be shown that such exa minaLion of individual no ise bursts may be very useful in additio n to spec Lral Tn 1952 it was suggested by Schumann [1952iL] analysis of noise averaged ovcr sever al seconds 01' that thc cart lt ,wd ionosphere may together flct as minutes. a cavity reso nator for electromagnetic wa,ves and R esults, thus far, clearly indicate that relatively that the fi rst reso nance should occur aL 10 .6 cis. strong sinusoidal oscillations occur in the 7 Lo 10 cis R efin ement of the Lh eory [Schum ann, 19 52 b nnd c, [req uency range, that the "resoll an t" frequency is 19 54, 1957] indicated that losses due to absorp tion no t con stant with time, that cer tain characteristic by the ionosphere or radia,tion Lhrough the iono­ wave shapes occur frequently, and that aCLivity in sphere should reduce the r esonan t frequency by at this frequency range is increased during magnetic least l.5 cis. Experim ental evidence for the exist­ storm . ence of th e first resonant mode was reported first 2. Instrumentation by Schumann and Konig [1957] and , in considerably more detail by Konig [1959]. The receiving equipm ent is located approximately The tllCory of ELF resonances was more r ece ll Ll y 1,200 Jt from the nearest 60-cycle overhead line; it discussed by Wait [1960 a and b], and expel'imell tal consisLs of two independen t, identical channels, each evidence for thc existence of the firsL and hi ghel' of which is made up of a r eceiving coil and suitable resonant modes, b ased uponrneasurements of elec­ filters and . . The overall Jrequency re­ tric fields, was presented by Balser and "Tag n er sponse or Lhe entire system, including the pick-up [1960 a and b]. Their rcs ults were also applied by coil, is shown on figure 1. R aemer [1961] to the calculfl tion of an ionospheric E ach of the receiving coils (fig. 2) co nsists of loss parameter which is a fun ction of the beight 249,000 turns of number 38 isom el insulated wire and the conductivity of Lhe sharply bounded iono­ wound over a length of 2 1 7~2 in. on a bakelite tube of sphere assumed in the fi rst order theory. Additional l.092 in. o.d. Iron cores are used which consist of experimental results were published recently by a 1 x lH6 X 11 in. stack of 0.014 transform er lamina­ Konig [196 1 a and b], by Maple [1961 ], and by tions. The self-resonant behavior (due to distrib­ Lokken, Shand, an d Wrigh t [196 1] . uted capacitance) of each coil is indicated by figure Since May, 1961, we have carried out measure­ 3; the response shown there was obtained by inser t­ ments in this frequency r ange (8 to 20 cycles), first ing the p~ckup coil into a long solenoid driven by an on the University of Rhode Island campus, and, ELF OSCillator and noting the voltage across the since June 28 , 1961 , on an electrom agnetically pickup coil on a vacuum tube voltmeter which has "quiet" field site located a few miles from Kingston, an input impedanee of 10 m egohms. R esonance R.I. OUT m<1,in object was originally to establish occurs at 175 cis without iron core and at 80 cis with wh eLher data obtained at a location in the conti­ the iron core. nental United States bear any resemblance to the After amplification and filtering the signals are fed r ecords obtained by Konig in Munich . Like Konig to a Sanborn 2-channel recorder which is operated we are using equipment with a relatively low upper at a paper speed of 5 cm/sec. The voltage gain cut-off frequency (20 cycles), and our analysis thus between the output of the receiving coil and the far has been based upon visual examina tion of indi­ input of the recorder is 23,000 at 10 cis. At this vidual wave form s r ecorded on paper tape. It will frequency an axial magnetic fi eld of 4.25 (10- 5) ampere metOI·- 1 at the location of the pickup coil *rrhc research t'('p orteci in this paper has been sponsored by the Electroni cs procluces a I-v signal at the input to the Sanborn Research D irectorate of the Air Force Cambridge R esearch Laboratories, Oiliee of Aerospace R esearch wHler Contract AI> 19(604)-7252. recorder. 313 o I CONSTIIN H.P. VTVN ~ ~[I}tomeg a ".-' O.lVAT I75 cis WITH 10 1\ IRON "...: AIR CORE CORE V '"/ ~ --...., !!' '\ \ V ~ 1 -20 10 / v' !t, db ./ 1\ 15 / 1 AIR -30 r1\ COR \ db \ Y 1\ 20 V -40 \ V 1 \ 25 / \ 30 10 100 1000 -50 ....., FREQUENCY, CIS

60C/s / I\--115 db / l FIGURE 3. Response of pick-up coil. -60 ~ A 10 20 50 100 tained three times per day for at least 2-min periods: FREQUEN CY. CIS in the early morning (1300 UT), in the afternoon FIGURE 1. Response of l'eceiving system (fl'om coil input to (1900 UT), and at night (0200 UT). All records recorder in put) . were examined visually to establish the level and the frequency of periodically varying signals and to note other characteristic features. Results were re­ corded in tabular form and plotted where appropriate. Sections of rather typical recordings are shown on figure 4a, b. In addition to irregular wave shapes, both records exhibit clearly sinusoidal oscillations which last for several seconds. The records of figure 4b also are very similar in appearance to the" type I" signals identified by Konig [1959] in Munich. The frequency of oscillation can be established by count­ ing complete cycles between second markers (vertical lines). Time increases from right to left on all records. R ecords marked N- S and E- W were ob­ tained with the coil axes oriented, respectively, in the north-south and east-west directions, The lower records on 4f, g, i, and j are the output of a 9-cycle filter having a 3 db-bandwidth of 1 cycle. Figure 4b exhibits the characteristic modulation pattern which could possibly be due to the interfer­ ence of two very closely spaced frequencies or could simply represent the onset and decay of individual strokes. This pattern is even more clearly apparent on figure 4d and unusually pronounced on figure 4e. FIGURE 2. Close-up of receiving coil and housing. Occasionally- not more than once in a period of several weeks- a sinusoidal 6 cis signal appears, as on figure 4c, which has the same type of modulation 3. Characteristics of Data envelope as the higher frequency signals. This is the wave shape which has been identified as "pearl oscilla­ Data have been recorded on the Kingston field tion" in the literature [Troitskaya, 1961; Tepley, site since June 28 , 1961. At first records were only 1961 ]. obtained in the afternoon (3 PM EDT- 1900 UT) Local activity produces either ex­ and only on one channel. On August 17 a second tremely irregular, nonsinusoidal signals, figure 4f, channel was added permitting simultaneous record­ or signals characterized by sudden onset as on the ing of noise picked up by two coils, one with its axis right of figure 4g. Under "normal" conditions, oriented in the north-south direction and the other that is in the absence of local thunderstorm activity oriented east-west. Since the installation of the and in the absence of solar disturbances, the level second channel, recordings have usually been ob- of signals recorded at night, such as shown on figure 314 ct N-S

8122181

E-W

9 N-S

1'2Q161 E-W

.i

FIGURE 4. ELIi' records.

, SUDDE N CD MMENCEMENT (FROM CRPL- F205, PART B, SEPTEMBER 1961) K INDE X ABOVE 5 + - , t , L

6

14

12 Amp m- I 10 , 8

6 1\ 1\ I 1/ \ I 4 I ...I """ 1\ ~ j 2 " I J J ..... ~ ,

28 30 4 6 8 10 12 14 16 18 20 22 24 26 28 30 I JULY 1961 l DATE AND TIME 1900 UT JULY 30

FIGURE 5. Mean amplitude of received sinusoidal noi8e (7 to 1 2 cis). (Ordinate is multiplied by W )

411, was considerably lower than the level noted The connection of geomagnetic activiLy, solar during daylight hours. It was often difficult to "sudd en commencements," and increased level of the establish the existence of individual wave trains 8 to 10 cis noise is also apparent from figure 5, where at night. signal levels recorded in July 1961 at ::3 :00 PM local During everal magnetic storms considerably time (1900 UT) are shown together with dates of increased activity, higher average level of received sudden commencements and dates and durations of noise in the 8 to 10 cycle frequency range, and rather geomagnetic disturbances. A similar correlation irregular wave shapes were noted: figure 4i, j, k. seems to exist for geomagnetic events which occurred 315

_ ...J 14 COIL AXIS NORTH - SOUTH -----0--- EAST - WEST \', 13 , " 12 " \ ,\ , P:, ,I I \ " , );' I ~ 0,, 10 A T\ f\ IT CI S / / \ J ~ ~ ~ \ / J 9 1 ,. , I ~, & ~ ",',I, 8 . V N I~ 7 '" 6

28 I 5 10 15 20 25 30 I 10 15 20 25 30 I 10 15 20 25 30

I- JULY ----.*'I-~-- AUGUST ----fl----- SEPT. ------.j.1 1961

FIGURE 6. Frequency, afternoon reading (1900 U7'), Jv/y to Sept. 1961 .

in the latter part of September; detailed analysis reflecting layer enter into (1) together with the of this period will, however, have to be postponed height, h, as the parameter a: until the pertinent issue of the NBS "Solar-Geo­ physical Data" [1961] becomes available. 1 a ----· (2) The most prominent frequency of sinusoidal - h((J"}J- ) 1/ 2 oscillations is not constant and seems to exhibit both short-time variations- apparent from figure 4- In the neighborhood of the first and longer period trends which requiTe observation (wI = 27r 10.6), and for sufficiently small a the series over several months. Figure 6 indicates that for of (1) may be approximated by its first four terms. data recorded in the afternoon, the most prominent If one employs r educed variables frequency appeared between 9 and 10 cis in July, between 7 and 10 cis during the second part of w August, and between 8 and 11 cycles on the north­ U=- (3) south channel and between 10 and 13.5 cis on the WI east-west channel during the second half of Sep­ a tember. It may be pertinent to note that the second 0=172 (4) part of August was a very quiet period in terms WI of solar and geomagnetic activity. 1 E (u) = ABOD {B OD+ 3AODcosO+ 2.5(3cos20 - 1) 4. Individual Wave Shapes and Resonance ABD+ 3.5 cos 0(5 cos2 0- 3)ABO } (5) Behavior where The frequency spectrum. corresponding to impulse .11= - u2-ou~~+ i ou ~~ excitation of the earth-ionosphere cavity has been given by Schumann [1957] and Wait [1960a] B = l + A 0 = 2.98+ .11 E(iw) = K {iw+ a(i w) 1/2} (i w) D= 5.96 + A '" 2n+ 1 L: P n (cos 0) 2 2+ ( . )3/2 (1) n = O wn-w a ~w O= angle between source fLnd point of measurement.. where K is a constant depending upon the strength of the exciting source, the distance, h, b etween the The resulting frequency spectra IE(u) I exhibit earth's surface and the assumed sharp lower bound­ clear maxima at "resonant" frequencies which arc ary of the ionosphere, the dielectric permittivity oJ lower than the frequency 11 = 10.6 cis (u= l) which th e air space, and the earth's radius. The quantities would be obtained with a loss-free ionosphere. On W n correspond to the resonant frequencies of the loss­ figure 7 these spectra are plotted for several values free cavity as given by Schumann [1957] or Wait of the loss-parameter a, and for 0= 45 ° which cor­ [1960a]; for example, wo = O, wI = 27r(lO.6) , and responds to the assumption of excitation in the w2=27r (18.3). Losses in the ionosphere which de­ eq uatorial thunderstorm belt wh en recordings are pend upon the conductivity, (J" , of the ionospheric made at temperate latitudes. 316 I~ II the spec Lr a arc to be compar ed with experi­ 1.0 .-----,---r--~_~~-~~---,--~ r mental r esults, they must be corrected for the 1' e- I ponse o( th e r eceivi ng equipment, figure 1; a nd r, they mu t also b e slightly modified to tak e in to 0 .9 f----l---++------1---+----J~~--\----I--__.j account the spectrum of individual lightning strokes. Following R aem er [1961] we use for this purpose th e RELATIVE AMPLITUDE -~I------,I'---+-+---+---+_-+---+_----''''-\-.f---_I curve of figure 8. The r esulting curves, which differ I E{ull only sligh tly from those shown on figure 7, may be approximated in the neighborhood of th e frequency u; (wh er e maximum amplitude occurs) by 0 .7 f----l-+--+I---4----+-I---I-----I-\-~"_'

(6) I 0.6 1-----l---+---4---II---I-----I---\-__.j In this expression k is determined by fitting the

curves of figure 7 as corrected above. A single pair 0 .5 '--_--'_ _ ----L__ --.L_-/-..l- __L-_--l __ -.! !. of values u; and k correspond to each value of the 0 .7 U 2 loss parameter a . A and depend upon the phase u = ~ of E (u) as given by eq (5); these parameters can w, be evaluated by computing the phase variation of FIGUR E 7. pectra of impulse excited em·th-ionosphere cavity. E (u) in the neighborhood of u; . The frequency U 2 wh ere the spectrum E(u) assumes zero phase lies 1.0 usually b elow u;. SiD ce k is a m easure of the widLh ~ of the r esonant curve, it is simply r elated to the I-----... cavity Q for the first r e onant mode. It is easily .9 shown from eq (6) tha t r----- .S ----- (7) ----- RELA:r IVE AMP LITUDE ---- - The values of r esonant frequency u; and of the .7 parameter k which were obtained from (5) a nd its approximation eq (6), can now be compared with .6 experimental re ults. The time function cOlTespond­ ing to (6) is .5 .6 .7 .S .9 1.0 j (twl )= ~e-k2(tW l -.'1)2 cos {u;(t w[ - A ) +

318