I manage to get the esp8266 to go to a modem_sleep state (By using delay(1);) so that power consumption drops from ~70mA to ~15am (except during the beacons).
However, it seems, that there is a ~10 seconds timeout before esp8266 goes to the modem_sleep -state after WIFI connection.
Is there a way to get the esp8266 to modem_sleep state any faster? For example, right after getting the IP?