helmhurts-python
Solving the Helmholtz equation to model the amplitude field of wireless (in Python), with Dirichlet conditions on the boundaries and some diffusive term for the walls.
Install
# clone
git clone https://github.com/pierre-24/helmhurts-python
cd helmhurts-python
# create venv
python3 -m venv venv
source ./venv/bin/activate
# install dependancies
pip3 install -r requirements.txtFor example
The following floor plan:
should be used as
$ python3 ./power_map.py test.png
f = 2.400 GHz → λ = 0.1249m → k = 50.300
Computing ... done!
and gives the following output (spacial resolution: 1px → 1cm):
Different options exists to control the input (such as the color of the wall and of the source) and the output:
$ python ./power_map.py --help
usage: power_map.py [-h] [-v] [-m MIN] [-M MAX] [-p POWER] [-f FREQUENCY]
[-r RESOLUTION] [-w WALL_REFRACTIVE] [-d WALL_DIFFUSIVE]
[--alayer-thickness ALAYER_THICKNESS]
[--alayer-diffusive ALAYER_DIFFUSIVE]
[--wall-color-in WALL_COLOR_IN]
[--wall-color-out WALL_COLOR_OUT]
[--source-color-in SOURCE_COLOR_IN]
[--source-color-out SOURCE_COLOR_OUT]
[--power-map-c POWER_MAP_C]
input
Compute the field generated by a Wi-Fi (or any other equipment that emits E.M. wave
in the GHz range). Expects an image as input, where the color of the wall is given
by `--wall-color-in` (default = black), and the color of the source is given by
`--source-color-in` (default = red).
positional arguments:
input Map of the walls
options:
-h, --help show this help message and exit
-v, --version show program's version number and exit
-m MIN, --min MIN Floor value of power (in dB)
-M MAX, --max MAX ceil value of power (in dB)
-p POWER, --power POWER
power of the source (in V/m²?)
-f FREQUENCY, --frequency FREQUENCY
frequency of the wave (in GHz)
-r RESOLUTION, --resolution RESOLUTION
spacial resolution (in m)
-w WALL_REFRACTIVE, --wall-refractive WALL_REFRACTIVE
refractive index of the walls
-d WALL_DIFFUSIVE, --wall-diffusive WALL_DIFFUSIVE
diffusive power of wall (in S/m)
--alayer-thickness ALAYER_THICKNESS
thickness of absorption layer
--alayer-diffusive ALAYER_DIFFUSIVE
diffusive power of absorption layer (in S/m)
--wall-color-in WALL_COLOR_IN
color of the walls in input
--wall-color-out WALL_COLOR_OUT
color of the contour of the walls in output
--source-color-in SOURCE_COLOR_IN
color of the sources in input
--source-color-out SOURCE_COLOR_OUT
color of the sources in output
--power-map-c POWER_MAP_C
map color shade