Computer-Generated Hologram (LCoS SLM)
A chip that speaks in phase — steering light one pixel at a time to sculpt wavefronts that trick your eyes into seeing objects that are not there.
An LCoS spatial light modulator is a reflective display chip — resembling a tiny cinema projector panel — in which each pixel contains a steerable liquid-crystal layer sitting on a silicon backplane. Rather than emitting light, it reflects an incident laser beam while independently shifting the optical phase at every pixel by up to 2π (one full wave cycle). When a computer calculates the correct phase pattern — a computer-generated hologram — the reflected beam propagates and constructively interferes in free space at the locations that would match the wavefronts of a real 3D scene, producing a floating 3D reconstruction. No physical film, no photographic chemistry: the scene can be changed at the chip's update rate.
Silicon CMOS circuitry beneath each pixel applies a voltage to a thin nematic or ferroelectric liquid-crystal layer. The electric field rotates the crystal directors, changing the effective refractive index for the polarised laser illumination. Because the light reflects from the metallic backplane, it travels through the LC layer twice, doubling the effective optical path. By mapping a voltage level (0–255 on an 8-bit device) to a phase retardation of 0–2π at each pixel, the chip becomes a programmable diffraction grating. The phase pattern loaded on the chip is the computer-generated hologram — numerically derived via algorithms such as the Gerchberg–Saxton phase-retrieval iteration or direct angular-spectrum propagation. The diffracted beam reconstructs the target wavefront at a chosen propagation distance. Fill factor (the ratio of active pixel area to total pitch area) determines what fraction of reflected power contributes to the desired diffraction order; high fill factors, typically 90–97%, suppress zeroth-order leakage and stray light.
In plain terms
Imagine you have a lake, and you want ripples to look as if there's a rubber duck floating right in the middle — but there is no duck. If you had millions of tiny paddles on the lake floor, each one nudging the water at exactly the right moment, you could fake those ripples perfectly. An LCoS SLM is those paddles, but for laser light instead of water.
Also called: CGH display, phase-only SLM, liquid-crystal-on-silicon spatial light modulator, wavefront modulator.
Why it matters
- Enables dynamic, programmable holographic displays and optical trapping without any moving parts or photographic media.
- Pixel pitches as small as 3.74 µm allow diffraction angles up to several degrees, approaching the aperture needed for desktop-scale holographic reconstruction.
- Phase-only operation concentrates nearly all incident power into the desired diffraction order, making the approach far more photon-efficient than amplitude-only alternatives.
- The same chip that drives a 3D display also serves adaptive optics, laser beam shaping, optical neural stimulation, and lithography — a shared platform across many fields.
- Update rates up to 60 Hz (120 Hz in color-field-sequential mode) make video-rate holographic projection feasible with current hardware, though full-parallax natural 3D at human-viewing distances remains a research challenge.
Where it lives
- Holoeye PLUTO-2.1 / LETO-3 / GAEA-2.1 research SLMs (1920×1080 at 60 Hz; 4160×2464 at 60 Hz)
- Hamamatsu X15213 series LCOS-SLM (1272×1024, 12.5 µm pitch, 96.8% fill factor)
- Jasper Display JD5552-based SRK research kits (1920×1080, 6.4 µm pitch, 60 Hz)
- MIT Tensor Holography benchtop holographic display (Nature Light: Science & Applications, 2022)
- Adaptive-optics wavefront correctors in astronomy and ophthalmology
- Optical tweezers arrays for single-cell and nanoparticle manipulation
Key numbers
- Pixel pitch (research-grade): 3.74–12.5 µm (Holoeye GAEA-2.1 to Hamamatsu X15213; smaller pitch → wider diffraction angle)
- Fill factor: 90–97% (Holoeye LETO-3: 93%; Hamamatsu X15213: 96.8%; Jasper JD4704: ≥90%)
- Phase stroke: 2π at design wavelength (Typically 532 nm or 633 nm; deeper stroke (>2π) available in some versions)
- Input frame rate: 30–60 Hz (up to 180 Hz CFS) (Holoeye PLUTO/LETO/GAEA at 60 Hz standard; color-field-sequential triples frame budget)
- Resolution (high end): 4160 × 2464 pixels (Holoeye GAEA-2.1; ~10 megapixels)
- Max diffraction angle (3.74 µm pitch, λ=532 nm): ≈4.1° (sin θ = λ/pitch; limits hologram extent at display distances)
Surprising facts
- The Holoeye GAEA-2.1 packs 4160×2464 pixels onto a panel measuring just 0.7 inches diagonally — each pixel only 3.74 µm wide, about one-twentieth the width of a human hair.
- Changing the hologram pattern takes as little as one video frame (16.7 ms at 60 Hz), yet the numerical computation of a single high-quality 1080p phase hologram can demand billions of floating-point operations — a task that took minutes on 1990s workstations now handled in real time on a consumer GPU.
- A phase-only SLM with 90% fill factor can route more than 80% of the incident laser power into the designed first diffraction order; the same trick with a binary amplitude mask tops out at roughly 10%.
- The Hamamatsu X15213 series specifies a fill factor of 96.8% — meaning the light-blocking interpixel gap occupies only 3.2% of the chip's active surface.
Open questions
- Unexplained phase flicker from LC relaxation: Phase-only LCoS SLMs driven by digital addressing exhibit a periodic phase flicker — rapid oscillation around the target phase value — whose amplitude depends on the grating pitch and the liquid-crystal relaxation dynamics. For pitch values of 6–20 pixels, this flicker reduces first-order diffraction efficiency by up to ~13%. The precise microscopic mechanism coupling the digital voltage sequence to spontaneous director reorientation is not fully captured by standard continuum models, and no single addressing scheme has eliminated the effect across all wavelengths and temperatures.
A short history
Dennis Gabor proposed wavefront reconstruction in 1948 — an optical two-step method initially aimed at correcting aberrations in electron microscopes — and coined the word 'hologram' in his 1949 Proceedings of the Royal Society paper. Practical laser-illuminated holography followed Leith and Upatnieks's 1963 demonstrations at the University of Michigan. The modern computer-generated hologram was independently developed in the late 1960s: Lohmann and Paris computed binary holograms in 1967, and the first kinoform (continuous-phase CGH) was described by Lesem, Hirsch, and Jordan at IBM in 1969. Liquid-crystal spatial light modulators began replacing photographic film for CGH in the 1990s; the first LCoS chip appeared commercially in the late 1990s in projectors before being adopted for phase-only holography research. Jasper Display (spun out of Himax Technologies in 2015) and Holoeye Photonics (Berlin, founded 1999) now supply the research-grade LCoS SLMs used in most academic holographic-display laboratories.
Sources
- Gabor, D. — Microscopy by Reconstructed Wave-Fronts, Proc. R. Soc. A 197 (1949) 454–487 (https://royalsocietypublishing.org/doi/10.1098/rspa.1949.0075)
- Holoeye Photonics AG — Spatial Light Modulators product brochure V14.5 (https://holoeye.com/wp-content/uploads/Spatial_Light_Modulators_V14.5.pdf)
- Hamamatsu Photonics — LCOS-SLM X15213-13 datasheet (https://www.hamamatsu.com/eu/en/product/optical-components/lcos-slm/specific_wavelength_type/X15213-13.html)
- Jasper Display / Taihei Boeki — LCoS SLM Research Kit specifications (https://www.taiheiboeki.co.jp/en/optical-device_communication/jasper-display/)
- Shi, L. et al. — End-to-end learning of 3D phase-only holograms, Nature Light: Sci. & App. 11 (2022) 247 (https://www.nature.com/articles/s41377-022-00894-6)