this is the simplest approach to create cartesian representation of the polar data. Note that this is just Nearest neigbour interpolation. More sophisticated interpolation might be used for proper handling.

import numpy as np
import wradlib as wrl
import xarray as xr
import matplotlib.pyplot as plt
fname = "/home/kai/Downloads/ras07-pcpng01_sweeph5onem_dbzh_00-2023112617253300-ess-10410-hd5"
# load data
swp = xr.open_dataset(fname, engine="odim")
swp = swp.set_coords("sweep_mode")
# georeference to wanted projection
crs = wrl.georef.epsg_to_osr(32632)
swp = swp.wrl.georef.georeference(crs=crs)
# plot
swp.DBZH.wrl.vis.plot(vmin=0, vmax=60)
# stack source data
st = swp.stack(onedim=("azimuth", "range"))
src = np.stack([st.x, st.y], axis=-1)
# create target grid
xtrg = np.linspace(swp.x.min().values, swp.x.max().values, 1000)
ytrg = np.linspace(swp.y.min().values, swp.y.max().values, 1000)
mx, my = np.meshgrid(xtrg, ytrg)
mx0 = mx.ravel()
my0 = my.ravel()
trg = np.stack([mx0, my0], axis=-1)
# setup interpolator
ip = wrl.ipol.Nearest(src, trg)
out = ip(st.DBZH.values, maxdist=1500)
out = out.reshape(mx.shape)
# plot
plt.figure()
plt.pcolormesh(mx, my, out, cmap="HomeyerRainbow", vmin=0, vmax=60)
plt.colorbar()

Update: Please note, that we use Azimuthal Equidistant Projection with the radar at the center (provided by wrl.georef.georeference(). You can also rely on swp.xradar.georeference(), which is implemented in xradar-package. The cartesian resolution here is 1000m.

Update2: We now use a given projection (epsg 32632) instead of the default Azimuthal Equidistant Projection.

But now I ran into a subsequent issue: I would like to have the cartesian data on some coordinate system/ projection (e.g. EPSG 32632), so it is comparable with other data (like the CAPPI from the volume scans or satellite data).

I’m sorry if this is a stupid question, but I really lack knowledge in this whole projecting/ georeferencing/ coordinate system topic.

I’ve added stacked source data and made the code coyp&paste-able. All in all this looks OK, but you do not have an equal-area projection anymore. Is this just for display or is this used for further processing? In that case I’d suggest to stick with an equal area projection.