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Particle tracking microrheology (PT-$\mu$r) exploits the thermal motion ofembedded particles to probe the local mechanical properties of soft materials.Despite its appealing conceptual simplicity, PT-$\mu$r requires calibrationprocedures and operating assumptions that constitute a practical barrier to awider adoption. Here we demonstrate Differential Dynamic Microscopymicrorheology (DDM-$\mu$r), a tracking-free approach based on the multi-scale,temporal correlation study of the image intensity fluctuations that areobserved in microscopy experiments as a consequence of the motion of thetracers. We show that the mechanical moduli of an arbitrary sample aredetermined correctly in a wide frequency range, provided that the standard DDManalysis is reinforced with a novel, iterative, self-consistent procedure thatfully exploits the multi-scale information made available by DDM. Our approachto DDM-$\mu$r does not require any prior calibration, is in agreement with bothtraditional rheology and Diffusing Wave Spectroscopy microrheology, and worksin conditions where PT-$\mu$r fails, providing thus an operationally simple,calibration-free probe of soft materials.

Differential Dynamic Microscopy microrheology of soft materials: a tracking-free determination of the frequency-dependent loss and storage moduli