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A python package for modeling Schumann resonances

Project description

schupy -- A python package for modeling Schumann resonances

Schupy models Schumann resonances (SRs), the electromagnetic eigenmodes of the Earth-ionosphere cavity resonator in the lowest part of the extremely low frequency band (<100 Hz). The code uses the solution of the 2-D telegraph equation obtained for uniform cavity and is able to determine the theoretical SR spectrum for arbitrary source-observer configuration. It can be applied for both modeling extraordinary large SR-transients (Q-bursts) or "background" SRs induced by incoherently superimposed strokes.

Usage

forward_tdte function

The forward_tdte function of schupy models SRs caused by an arbitrary number of sources located in given positions and returns the electric and magnetic fields measured by arbitrarily located observers. The sources can be either pointsources or extended ones with a specified size.

The function takes the following arguments:

Name Type Description Unit Default value
s_lat LIST Geographical latitude(s) of the source(s) deg
s_lon LIST Geographical longitude(s) of the source(s) deg
s_int LIST Intensities of the sources C^2 km^2 s^-1
m_lat FLOAT Geographical latitude of the observing station deg
m_lon FLOAT Geographical longitude of the observing station deg
f_min FLOAT Minimum frequency Hz 5
f_max FLOAT Maximum frequency Hz 30
f_step FLOAT Resolution in frequency Hz 0.1
radius FLOAT Radius of the extended sources Mm 0
n INT Maximal order of Legendre-polynomials to sum 500
mapshow BOOL Sets whether to show a map of the sources and the station or not True
mapsave BOOL Sets whether to save the map of the sources and the station or not False
mapfilename STR Name of the file to save the map into schupy_map.png
Name Type Description Default value Possible values
h STRING Method of calculating height mushtak mushtak, kulak
ret STRING Values returned all all, Er, Btheta, Bphi

By setting the radius value to any number grater than zero, the user can model an extended source. Extended sources are modeled as a number of randomly distributed pointsources inside a circle having the given radius, whose intensities sum up to the given s_int.

By specifying h the user can choose the preferred method of height calculation. The two methods are described in Mushtak and Williams (2002) and in Kulak and Mlynarczyk (2013).

schupy can visualize the specified sources and observing station on a world map. The station is shown as a rectangle while the sources are indicated by circles whose sizes are proportional to their intensities. Visualization relies on the cartopy package: https://scitools.org.uk/cartopy/docs/latest/

The function plots and returns the following quantities at the location of the given observing station:

  • Er: the vertical component of the electric field
  • Btheta: the N-S component of the magnetic field
  • Bphi: the E-W component of the magnetic field

Acknowledgement

The schupy package is developed by G. Dálya, T. Bozóki, K. Kapás, J. Takátsy, E. Prácser and G. Sátori. Please send your questions and comments to dalyag@caesar.elte.hu. If you use the Schupy package for your research, please cite our paper.

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