The invention relates to a magnetic field generator as a natural field simulator (1) in a housing (2) that can be carried on the body, comprising a magnetic coil (10) on a magnetic iron core (9) for field generation, an electronics on an electronic circuit board (8) for a pulse generation, and a high power battery (11) for power supply. According to the invention, the magnetic iron core (9) is formed as a hollow body from electrically conductive material. The electronic circuit board (8) having the electronic components (12) is at least partially accommodated in the magnet iron core hollow body (9), and the magnetic coil (10) is wound onto the magnet iron core hollow body (9).