為了研究高空短暫發光現象與閃電之間的關係，成大團隊在2003 年於鹿林天文台建置極低頻閃電磁場量測系統，包了兩組高感度BF-4 磁場天線與訊號調節器。這套磁場量測系統包含了因訊號調節器所造成的記錄波形變形失真，及磁場天線未經過精確校正兩大問題，使過去數年所記錄的科學資料無法發揮最大效益。這篇論文針對上述的兩項問題進行分析處理。利用訊號傅立葉轉換，結合實驗量測以建立
波形重建演算法，解決訊號調節器導致的訊號變形。並且製做出一組長螺線管系統，產生適當均勻磁場，對BF-4 磁場天線進行振幅校正與相位差校正。結合上述兩項修正成果，應用於真實高空短暫發光事件的極低頻磁場訊號上，除了可正確重建磁場訊號波形外，也利用地表與電離層間波導管傳遞的電磁波模式，以一個高空短暫發光現象事件相關的閃電為例，計算其電荷矩與電流矩，並且比較校正前後所得到的閃電電磁參數的差別。

To explore the physical connection between transient luminous event and associated
lighting, a magnetic field measurement system at the band-pass of extremely low frequency
was established at Lulin Observatory in 2003. This system mainly consists of a
pair of high-sensitivity BF-4 magnetic field induction sensors and a signal modulator.
Two problems were already revealed and noted by the previous work of Wang [2004],
one is the waveform distortion caused by the signal modulator, and another one is the
un-calibration of magnetic field coils. These problems prevent the data recorded by this
system in the past years to be used confidently in the scientific applications. In this study,
a mathematic work based on the Fourier theory and related experiments are proposed to reconstruct the distorted waveforms. The validations by various waveforms show this approach is functional at the frequency range of 1-117 Hz. A long solenoid was built to produce a uniform magnetic field to calibrate the amplitude and phase responses of the BF-4 sensors over several decades of frequency. An event of an intense lightning with TLE is applied to derive the charge moment change based on the wave guide model of electromagnetic wave propagation between Earth and ionosphere.

Barrington-Leigh, C. P, and U. S. Inan, Elves triggered by positive and negative lightning
discharges, Geophys. Res. Lett., 26, 683– 686. (1999)
Boeck, W. L. et al., Observations of lightning in the stratosphere, J. Geophys. Res,. 100,
1465. (1995)
Blanc, E. et al., Nadir observations of sprites from the International Space Station, J.
Geophys. Res., A 109, A02306. (2004)
Burke, C. P., and D. L. Jones, An experimental investigation of ELF attenuation rates in
the Earth-ionosphere duct, J. Atmos. Terr. Phys., 54, 243. (1992)
Burke, C. P. and D.L. Jones, On the polarity and continuing currents in unusually large
lightning flashes deduced from ELF events. J. Atmos. Terr.Phys., 58, 531. (1996)
Chen, A. B., et al., Global distributions and occurrence rates of transient luminous events,
J. Geophys. Res., 113, A08306, doi:10.1029/2008JA013101. (2008)
Chen, F. F., Introduction to Plasma Physics and Controlled Fusion, Springer; 2nd edition.
(2006)
Chern, J. L. et al., Global survey of upper atmospheric transient luminous events on the
ROCSAT-2 satellite, J. Atmos. Sol. Terr. Phys., 65, 647. (2003)
Franz, R. C., R. J. Nemzek, and J. R. Winckler, Television image of a large upward electrical
discharge above a thunderstorm system, Science, 249, 48. (1990)
Frey, H. U., et al., Beta-type stepped leader of elve-producing lightning, Geophys. Res.
Lett., 32, L13824, doi:10.1029/2005GL023080. (2005)
Fukunishi, H., et al., Elves: Lightning-induced transient luminous events in the lower ionosphere,
Geophys. Res. Lett., 23, 2157. (1996)
Galejs, J., Terrestrial propagation of long electromagnetic waves, Elsevier; 1st edition.
(1972)
Haung, H. G., E. et al., Criteria for sprite and elves based on Schumann resonance observations.
J. Geophys. Res., 104, 16943. (1999)
Hu, W., S. A. Cummer, W. A. Lyons, and T. E. Nelson, Lightning chargemoment changes
for the initiation of sprites, Geophys. Res. Lett., 29, 1279,
doi:10.1029/2001GL014593. (2002)
Inan, U. S., et al., Heating and ionization of the lower ionosphere by
lightning,Geophysical Research Letters, 18(4), (1991).
Ishaq, M. and Jones, D. L., Methods of obtaining radio wave propagation parameters for
the earth-ionosphere duct at ELF, Electronic Letter, 13, 254. (1977)
Jones, D.L., Schumann resonances and ELF propagation for inhomogeneous isotropic
ionospheric profiles, J Atmos. Terr. Phys., 29, 1037. (1967)
Kuo, C.L., et al., Discharge processes, electric field, and electron energy in ISUAL recorded
gigantic jets, J. Geophys. Res.,, 114, A04314, doi:10.1029/2008JA013791.
(2009)
Lyons, W. A., Sprite observations above the U.S. High Plains in relation to their parent
thunderstorm systems, J. Geophys. Res., 101, 29,641. (1996)
Mende et al., D region ionization by lightning-induced electromagnetic pulses, J. Geophys
Res., 110, A11312, 10.1029/2005JA011064. (2005)
Nickolaenko, A. P, and Hayakawa, M., Resonances In The Earth-Ionosphere cavity,
Springer; 1st edition. (2002)
Nottage, W. H., The calculation and measurement of inductance and capacity, Iliffe
Books. (1925)
Pasko, V. P., et al., Heating, ionization and upward discharges in the mesopsphere due to
intense quasi-electrostatic thundercloud fields, Geophys. Res. Lett., 22, 365. (1995)
Pasko, V. P., Atmospheric physics: Electric jets, Nature, 423, 927. (2003)
Rakov, V. A. and Uman, M.A., Lightning: physics and effects, Cambridge University-
Press,(2003).
Sato, M. and Fukunishi, H., Global sprite occurrence locations and rates derived from
triangulation of transient Schumann resonance events, Geophys. Res. Lett., 30,
160000-1, doi:10.1029/2003GL017291. (2003)
Schumann, W. O. U‥ ber die strahlunglosen Eigenschwingungen einer leitenden Kugel,
die von einer Luftschicht und einer Ionospharenh‥ulle umgeben ist, Z. Naturforsch.
A, 7, 6627– 6628. (1952)
Sentman, D. D., et al., Preliminary results from the Sprites94 aircraft campaign: 1.Red
sprites, Geophysical Research Letters, 22, 1205. (1995)
Smythe, W. R., Static and Dynamic Electricity, McGraw-Hill, 1st edition. (1939)
Stenbaek-Nielsen, H. C.and McHarg, M. G., , R High time-resolution sprite imaging: observations
and implications, J. Phys. D: Appl. Phys., 41, 234009. (2008)
Su, H. T., et al., Gigantic jets between a thundercloud and the ionosphere, Nature,423,
974. (2003)
Taylor, W. L., and K. Sao, ELF attenuation rates and phase velocities observed from
slow-tail components of atmospherics, Radio Science, 5, 1453. (1970)
Tran, A. and Polk, C., Earth-ionosphere cavity, Radio Science, 11, 803(1976).
Wait, J. R., Electromagnetic Waves in Stratified Media, Pergamon Press, 1st Edition.
(1962)
Wait, J. R., Electromagnetic waves in stratified media, Pergamon Press, 2nd Edition.
(1970)
Walker, C. S. (1990), Capacitance, Inductance and crosstalk Analysis, Artech House Publishers.
Wang, Y. C.; Wang, K.; Su, H. T., Hsu, R. R., Low-latitude ELF-whistlers observed in
Taiwan, Geophys. Res. Lett., 32, L08102, doi:10.1029/2005GL022412. (2005)
Wang, K. et al., Polarization Study of ELF-Emissions at Pre-earthquakes Time, American
Geophysical Union, Fall Meeting 2007, abstract #S33B-1313. (2007)
Weidman, C. D., and E. P. Krider, The amplitude spectra of lightningradiation fields in
the interval from 1 to 20 MHz, Radio Science, 21, 964. (1986)
Wescott, E. M., et al., Preliminary Results From the Sprites94 Aircraft Campaign:2.Blue
Jets, Geophysical Research Letters, 22, 1209. (1995)
Yair, Y. et al., New observations of sprites from the space shuttle, J. Geophys Res., 109,
D15201. (2004)
蘇漢宗, 『低頻無線電波閃電定位系統之建立與運用』結案報告(2003)
王雲慶, 極低頻訊號調節器的類比訊號量測期末報告930701(2004)