A python package for modeling Schumann resonances
Project description
schupy -- A python package for modeling and analyzing Schumann resonances
schupy is an open-source python package aimed at modeling and analyzing Schumann resonances (SRs), the global electromagnetic resonances of the Earth-ionosphere cavity resonator in the lowest part of the extremely low frequency band (<100 Hz).
Usage
forward_tdte
function
The forward_tdte
function of schupy uses the analytical solution of the 2-D telegraph equation (TDTE) obtained for uniform cavity and is able to determine SRs generated by an arbitrary number of sources located in given positions and returns the theoretical power spectral density of the field components for an arbitrarily located observing station. 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 | Intensiti(es) of the source(s) | 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 of the spectrum | Hz | 5 |
f_max |
FLOAT | Maximum frequency of the spectrum | Hz | 30 |
f_step |
FLOAT | Frequency resolution of the spectrum | Hz | 0.1 |
radius |
FLOAT | Radius of the extended sources (0 in the case of pointsource(s)) | 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 | False | |
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 complex ionospheric heights | mushtak | mushtak, kulak |
ret |
STRING | Returned field components | all | all, Er, Btheta, Bphi |
By setting the radius
value to any number grater than zero, the user can model extended sources with 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 calculating complex ionospheric heights. The two methods are described in:
V. C. Mushtak and E. R. Williams (2002): Elf propagation parameters for uniform models of the earth-ionosphere waveguide, Journal of Atmospheric and Solar-Terrestrial Physics, 64.
and in:
A. Kulak and J. Mlynarczyk (2013): Elf propagation parameters for the ground-ionosphere waveguide with finite ground conductivity, IEEE Transactions on Antennas and Propagation, 61..
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 fieldBtheta
: the N-S component of the magnetic field measured by E-W orianted magnetic coilsBphi
: the E-W component of the magnetic field measured by N-S orianted magnetic coils
An exaple to how to run the function:
import schupy as sp
source_latitudes = [10.0, 0.0, 0.0]
source_longitudes = [10.0, -80.0, 110.0]
source_intensities = [1e5, 8e4, 7e4]
obs_latitude = 47.6
obs_longitude = 16.7
sp.forward_tdte(source_latitudes, source_longitudes, source_intensities, obs_latitudes, obs_longitudes, h='mushtak', ret='Bphi', radius = 0, mapshow = False, mapsave = False)
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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