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Fourier Optics (SLM Lab)

University lab project exploring Fourier optics with a phase-mostly Spatial Light Modulator (SLM) at λ = 532 nm. The repo contains code and results for (i) characterising the SLM, (ii) imaging and filtering in the Fourier plane with a 4-f system, and (iii) computer-generated holography via the Gerchberg–Saxton algorithm.

What’s here

  • Notebook: Fourier_Optics_Algherbawi.ipynb – end-to-end workflow:
    • Pixel-pitch measurement of the SLM from grating diffraction.
    • Amplitude/gray-level modulation curve acquisition and fit.
    • Imaging the SLM plane and locating the focal plane via the thin-lens equation.
    • Optical Fourier transforms of test images and FFT (fft2/fftshift) comparisons.
    • Fourier-plane filtering (circular low/high-pass, vertical slit) and image reconstruction.
    • Phase-only Gerchberg–Saxton hologram synthesis with iteration/error plots.
  • Data/Results: sample images and saved figures from the lab sessions.

Key experimental results

  • SLM pixel pitch: ( p = 33.56 \pm 0.65 ,\mu\text{m} ) (first-order diffraction fit).
  • Laser: ( \lambda = 532 ,\text{nm} ).
  • Imaging check: measured effective focal length from bench geometry ≈ 71.05 ± 0.31 mm (vs. nominal 100 mm).
  • Filtering intuition: high-pass → edges enhanced; low-pass → blurred global structure; vertical slit → suppresses horizontal detail.
  • Holography: Gerchberg–Saxton iterations reduce amplitude error and sharpen reconstructions (e.g., 10 → 50 iters).

References

  • B. E. A. Saleh & M. C. Teich, Fundamentals of Photonics.
  • J. Goodman, Introduction to Fourier Optics.
  • Lab manual: Fourier Optics & Spatial Light Modulator course (SLM setup, tasks, 4-f filtering, and holography).

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