Digital Holographic Microscopy

holography Coherent Interferometric Scalar Wave
View Benchmarks (1)

Digital holographic microscopy (DHM) records the interference pattern between an object wave (scattered by the sample) and a reference wave on a digital sensor. The hologram encodes both amplitude and phase of the object wavefield. In off-axis configuration, the object spectrum is separated from the zero-order and twin-image terms in Fourier space. Numerical propagation (angular spectrum method) refocuses the wavefield at any desired plane, enabling quantitative phase imaging (QPI) with nanometer path-length sensitivity. Applications include label-free cell imaging and topography measurement.

Forward Model

Holographic Forward

Noise Model

Gaussian

Default Solver

angular spectrum

Sensor

CMOS

Forward-Model Signal Chain

Each primitive represents a physical operation in the measurement process. Arrows show signal flow left to right.

P Fresnel Fresnel Propagation D g, η₁ Camera
Spec Notation

P(Fresnel) → D(g, η₁)

Benchmark Variants & Leaderboards

Holography

Digital Holographic Microscopy

Full Benchmark Page →
Spec Notation

P(Fresnel) → D(g, η₁)

Standard Leaderboard (Top 10)

# Method Score PSNR (dB) SSIM Trust Source
🥇 ScorePhase 0.831 35.82 0.968 ✓ Certified Wei et al., ECCV 2025
🥈 DiffusionPhase 0.823 35.48 0.964 ✓ Certified Song et al., NeurIPS 2024
🥉 HolographyViT 0.816 35.18 0.960 ✓ Certified Wang et al., ICCV 2024
4 AutoPhase++ 0.811 34.92 0.958 ✓ Certified Rivenson et al., ECCV 2024
5 PhaseFormer 0.801 34.5 0.952 ✓ Certified Tian et al., ICCV 2024
6 PhaseResNet 0.773 33.15 0.942 ✓ Certified Baoqing et al., Optica 2023
7 LRGS 0.764 32.8 0.935 ✓ Certified Choi et al., 2023
8 CyclePhase 0.761 32.5 0.938 ✓ Certified Ge et al., IEEE Photonics 2023
9 PhaseNet 0.725 31.2 0.910 ✓ Certified Rivenson et al., LSA 2018
10 prDeep 0.617 27.45 0.820 ✓ Certified Metzler et al., ICML 2018

Showing top 10 of 14 methods. View all →

Mismatch Parameters (3) click to expand
Name Symbol Description Nominal Perturbed
wavelength Δλ Wavelength error (nm) 0 0.5
prop_distance Δz Propagation distance error (μm) 0 5.0
tilt Δθ Reference beam tilt (mrad) 0 0.5

Reconstruction Triad Diagnostics

The three diagnostic gates (G1, G2, G3) characterize how reconstruction quality degrades under different error sources. Each bar shows the relative attribution.

G1 — Forward Model Accuracy How well does the mathematical model match reality?

Model: holographic forward — Mismatch modes: twin image, reference error, coherence loss, vibration

G2 — Noise Characterization Is the noise model correctly specified?

Noise: gaussian — Typical SNR: 20.0–45.0 dB

G3 — Calibration Quality Are instrument parameters accurately measured?

Requires: wavelength, propagation distance, reference beam angle, pixel size

Modality Deep Dive

Principle

Digital holographic microscopy records the interference pattern (hologram) between a reference wave and the wave scattered by the sample. The complex field (amplitude and phase) is recovered by numerical propagation of the recorded hologram to the object plane. Phase imaging reveals optical path length changes caused by refractive index or thickness variations, providing quantitative phase contrast without staining.

How to Build the System

Build an off-axis Mach-Zehnder interferometer: split a coherent source (He-Ne laser, 633 nm, or laser diode) into object and reference beams. The object beam passes through the sample via a microscope objective. The reference beam tilts at a small angle (off-axis) to create carrier fringes. Both beams interfere on a CMOS camera. The carrier frequency must be high enough to separate the twin image in Fourier space. Vibration isolation is essential.

Common Reconstruction Algorithms

  • Fourier filtering (off-axis hologram: spatial filtering of +1 order)
  • Angular spectrum propagation method
  • Phase unwrapping (Goldstein, quality-guided, or least-squares)
  • Numerical autofocusing (Tamura coefficient, Brenner gradient)
  • Deep-learning phase retrieval (PhaseNet, holographic reconstruction CNN)

Common Mistakes

  • Vibration causing fringe instability and phase noise
  • Twin image and DC term not properly separated in on-axis holography
  • Phase wrapping artifacts not resolved in thick or rapidly varying samples
  • Coherence noise (speckle) from high temporal coherence of the laser source
  • Incorrect propagation distance causing defocused reconstruction

How to Avoid Mistakes

  • Use an optical table with active vibration isolation; enclose the setup
  • Use off-axis geometry with sufficient carrier frequency for clean Fourier separation
  • Apply robust phase unwrapping algorithms; use multi-wavelength for large OPD
  • Use a low-coherence source (LED or SLD) for speckle reduction in off-axis DHM
  • Implement numerical autofocusing or calibrate propagation distance precisely

Forward-Model Mismatch Cases

  • The widefield fallback produces real-valued output, but holography records complex-valued interference between object and reference waves — the phase information encoding 3D depth and optical path length is completely lost
  • The interference fringe pattern (I = |E_ref + E_obj|^2) encodes both amplitude and phase of the object wave, enabling numerical refocusing — the Gaussian blur destroys the fringe structure and all quantitative phase information

How to Correct the Mismatch

  • Use the holography operator that models the coherent interference between object wave (after propagation) and reference wave, producing complex-valued holographic data
  • Reconstruct amplitude and phase by digital holographic processing: Fourier filtering to isolate the sideband, numerical back-propagation using the angular spectrum method or Fresnel transform

Experimental Setup

Instrument

Lyncee Tec DHM T1000 / custom Mach-Zehnder setup

Wavelength Nm

532

Pixel Size Um

3.45

Sensor

sCMOS 2048x2048 (Hamamatsu ORCA-Flash4.0)

Propagation Distance Mm

100

Coherence Length Mm

>1 (laser source)

Reconstruction

angular spectrum method

Application

quantitative phase imaging (QPI)

Signal Chain Diagram

Experimental setup diagram for Digital Holographic Microscopy

Key References

  • Cuche et al., 'Digital holography for quantitative phase-contrast imaging', Optics Letters 24, 291-293 (1999)
  • Kim, 'Principles and techniques of digital holographic microscopy', SPIE Reviews 1, 018005 (2010)

Canonical Datasets

  • Lyncee Tec DHM application datasets
  • HoloGAN benchmark (simulated holograms)

Benchmark Pages