Clip a raster in arcpy with multiple polygons

raster_multi_clip.py

import os
import arcpy

### add inputs
# the input polygon feature class with the areas of interest to clip
fc = r'c:\working\project.gdb\clip_areas'

# the input raster to be clipped
raster = r'c:\working\project.gdb\some_big_raster'

# the directory for the raster output
outdir = r'c:\working\clipped_rasters'

# output rasters will be named by Filename, change it to your id field
# the script will add the bounding extent attribute fields
fields = ['Filename', 'EXT_MIN_X', 'EXT_MIN_Y', 'EXT_MAX_X', 'EXT_MAX_Y']

### process the raster
# add bounding box attributes for each feature
arcpy.AddGeometryAttributes_management(Input_Features = fc,
                                       Geometry_Properties = 'EXTENT'
                                      )

# clip the raster by each polygon in the feature class
with arcpy.da.SearchCursor(fc, fields) as sc:
    for row in sc:
        # output will be in tif format
        outname = str(row[0]) + '.tif'
        # make a string of the polygon bounds to feed to the clipping tool
        bounds = str(row[1]) + ' ' + str(row[2]) + ' ' + str(row[3]) + ' ' + str(row[4])
        # nodata value will be 666
        nodata = 666
        # query to select the current feature in the search cursor
        expression = "Filename = '" + row[0] + "'" 
        
        print('creating ' + outname + '...')
        
        # select the current feature in the search cursor
        arcpy.SelectLayerByAttribute_management(fc, 'NEW_SELECTION', expression)
        
        # clip the raster using the current polygon feature's geometry
        arcpy.management.Clip(in_raster = raster, 
                              rectangle = bounds, 
                              out_raster = outdir + os.sep + outname, 
                              in_template_dataset = fc, 
                              nodata_value = nodata,
                              clipping_geometry = 'ClippingGeometry', 
                              maintain_clipping_extent = 'NO_MAINTAIN_EXTENT'
                             )

print('all done! the output is in ' + outdir)