Measuring device (1, 1', 1", 1"'), in particular a tachymeter, laser scanner, profiler, or laser tracker, for scanning uncooperative objects, in particular natural objects, moreover also for scanning cooperative objects such as reflectors, having an electronic laser distance measuring module (10, 10'), wherein the electronic laser distance measuring module (10, 10') comprises • an optical transmitting channel having a transmitting unit for generating laser measuring radiation, • an attenuation unit (11, 11', 11", 110, 110', 110'', 110"', 110"") in the optical transmitting channel for attenuating the laser measuring radiation generated by the transmitting unit, and • an optical receiving channel having a receiving unit for reflected laser measuring radiation, wherein • the beam guiding in the electronic laser distance measuring module is implemented by means of a fiber optic, in particular consisting of monomodal fibers, and • during the scanning, the transmitting unit progressively generates modulated, in particular pulsed, transmitted signals having a modulation rate greater than 100 kHz, in particular multiple megahertz to gigahertz, characterized in that • electrically controllable setting of at least two different attenuation factors is provided, • the attenuation unit is continuously activatable from transmitted signal to transmitted signal, wherein during the scanning, setting of the attenuation unit is performed using different attenuation factors in such a way that the receiving unit is supplied a received signal having an amplitude in the linear modulation range of the receiving unit, based on a single immediately preceding received signal pulse or based on multiple successive immediately preceding received signal pulses, • the attenuation unit is configured such that the attenuation is performed by means of an optically active crystal (30, 37, 42) based on an effect from at least one of the groups of ∘ electro-optical effects, ∘ acousto-optical effects, and ∘ magneto-optical effects, wherein the attenuation unit has a functional relationship between attenuation factor and electrical activation, wherein the functional relationship is known over a temperature range between -20°C and 50°C. • an optical transmitting channel having a transmitting unit for generating laser measuring radiation, • an attenuation unit (11, 11', 11", 110, 110', 110'', 110"', 110"") in the optical transmitting channel for attenuating the laser measuring radiation generated by the transmitting unit, and • an optical receiving channel having a receiving unit for reflected laser measuring radiation, wherein • the beam guiding in the electronic laser distance measuring module is implemented by means of a fiber optic, in particular consisting of monomodal fibers, and • during the scanning, the transmitting unit progressively generates modulated, in particular pulsed, transmitted signals having a modulation rate greater than 100 kHz, in particular multiple megahertz to gigahertz, characterized in that • electrically controllable setting of at least two different attenuation factors is provided, • the attenuation unit is continuously activatable from transmitted signal to transmitted signal, wherein during the scanning, setting of the attenuation unit is performed using different attenuation factors in such a way that the receiving unit is supplied a received signal having an amplitude in the linear modulation range of the receiving unit, based on a single immediately preceding received signal pulse or based on multiple successive immediately preceding received signal pulses, • the attenuation unit is configured such that the attenuation is performed by means of an optically active crystal (30, 37, 42) based on an effect from at least one of the groups of ∘ electro-optical effects, ∘ acousto-optical effects, and ∘ magneto-optical effects, ∘ electro-optical effects, ∘ acousto-optical effects, and ∘ magneto-optical effects,