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Materials Science in Additive Manufacturing                               Ceramic vat photopolymerization



            to resin by projecting an entire slice of the 2D model   energy matches the electronic transition energy between
            (Figure 1B). For the projection of the slice pattern onto   ground and excited states, resulting in a linear photon
            the resin, a digital micromirror device (DMD) panel is   flux dependence. Conversely, TPA requires simultaneous
            used, making the DLP printing process faster than SL and   absorption of two lower-energy photons. During TPA,
            facilitating quick fabrication of highly accurate parts with   the  molecule  enters a  short-lived  virtual  intermediate
            excellent resolution, resembling the products made with   state after the first photon absorption. This mechanism
            SL. DLP also requires a support platform, and structures   enables UV-sensitive photoinitiators (350 – 400  nm) to
            need to be removed manually and may require finishing.   be activated by near-infrared Ti:  Sapphire lasers (700 –
            The concept of DLP was first developed in 1996.  Further   800 nm) through TPA.
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            in 1997, liquid crystal display was replaced by DMDs                                            17
            to create high resolution and contrast in the projected   As a third-order nonlinear optical phenomenon,
            pattern.  DMD is an array of microscopic mirrors that are   degenerate TPA exhibits an energy absorption rate
                  13
            capable of swift rotation within a range of ±10–12°.  expressed as:
                                                                       2
                                                               dW    8
            2.3. Two-photon polymerization (TPP)                         I Im[  ]                       (III)
                                                                          2
                                                                                3 ()
                                                                dt   cn
                                                                      22
            TPP, as illustrated in  Figure  3, utilizes the two-photon
            absorption mechanism, in which molecules transition   where ω represents the angular frequency, c denotes the
            from  ground to excited states  through  simultaneous   speed of light in a vacuum, and n is the refractive index of
            absorption of two laser photons – either with identical   the medium. The nonlinear optical response arises from
            energy (termed  degenerate  two-photon absorption   the imaginary component of the third-order susceptibility
            [TPA])  or distinct energy levels (non-degenerate TPA).   (Im[χ ]), with the TPA process exhibiting a quadratic
                                                                    (3)
            This mechanism demands intense photon flux due to   dependence  on  laser  intensity.  Due  to  this  nonlinear
            the molecule’s extremely brief residence (10  s) in the   intensity dependence, TPA occurs only at extremely high
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            transient virtual state, necessitating ultrashort-pulsed   optical  intensities, necessitating  high-numerical-aperture
            infrared lasers to achieve sufficient energy delivery. TPA   (NA) microscope objectives for tight laser focusing. The
            was theoretically predicted by Göppert-Mayer  in 1931 and   TPA effect rapidly diminishes away from the focal center,
                                                14
            the experimental observation was confirmed by Kaiser and   resulting in a well-defined 3D voxel that enables intrinsic
            Garrett  in 1961. Nowadays, the TPA process has become   volumetric fabrication in two-photon lithography. The
                  15
            extensively important for technological applications,   polymerization threshold is determined by the balance
            such as multiphoton polymerization, multiphoton optical   between radical generation (initiated by TPA) and
            limiters, and multiphoton fluorescence spectroscopy.  competing deactivation pathways, including quenching,
              In conventional single-photon absorption (e.g., in SL   internal conversion, and radical termination.  Below this
                                                                                                   18
            or DLP printing), excitation occurs when incident photon   threshold, insufficient crosslinking occurs, while above


























            Figure 3. Schematic diagram of two-photon polymerization process  (schematic reused under the terms of the Creative Commons CC-BY license)
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            Volume 4 Issue 3 (2025)                         4                         doi: 10.36922/MSAM025200031
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