This PDF file includes:

• Note S1. Numerical simulations
• Note S2. Single-pixel detection and compressive sensing
• Note S3. Microscope characterization
• Note S4. Comparison between TRAFIX and point-scanning two-photon microscopy (2PM)
• Note S5. Polarization state evaluation
• Fig. S1. Numerically simulated TF laser beam propagating through 400 μm of brain tissue.
• Fig. S2. Properties of a numerically simulated TF laser beam through brain tissue.
• Fig. S3. Effect of scattering on the beam profile with and without TF.
• Fig. S4. Depth profile of a TF beam through a scattering phantom.
• Fig. S5. Characterization of a TF beam through a scattering phantom.
• Fig. S6. Images of fluorescent microscopic samples without scattering.
• Fig. S7. Comparison of a hidden object and retrieved images through a scattering phantom with different resolution.
• Fig. S8. Image of 4.8-μm fluorescent beads in a volumetric scattering phantom.
• Fig. S9. Comparison of SBR of TRAFIX and point-scanning two-photon microscopy (2PM) at depth.
• Fig. S10. Comparison of TRAFIX and point-scanning two-photon microscopy (2PM) through human colon tissue.
• Fig. S11. Axial confinement in TRAFIX and point-scanning two-photon microscopy (2PM).
• Fig. S12. Photobleaching comparison of TRAFIX and point-scanning two-photon microscopy (2PM).
• Fig. S13. Effect of scattering on illumination beams in point-scanning two-photon microscopy (2PM) and TRAFIX.
• Fig. S14. Effect of turbid media on light polarization.
• Table S1. SBR measured for all the images shown in this work.
• Table S2. Cell diameters of all images shown in this work.
• Table S3. Beads spacing corresponding to all images shown in this work.
• References (55–61)

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