Real holography physics. Reference wave + object wave → interference fringes → reconstruction. Every pixel contains the whole image. Cut any piece and reconstruct: the pattern survives.
| Symbol | Name | Equation | What it means here |
|---|---|---|---|
| R | Reference wave | R = exp(i·k·r) = cos(kₓx + k_yy + φ) | Plane wave at angle θ. Controls fringe orientation. Hamiltonian adds +0.01 phase/frame. |
| O | Object wave | O = Σ (A/r) · exp(i·k·r) r = distance from each point source |
Sum of spherical waves from all object points. 1/r amplitude falloff. Z-depth adds phase shift. |
| H | Hologram intensity | H = |R + O|² = |R|² + |O|² + R*O + RO* | The interference pattern recorded on the hologram plane. R*O is the real image term. |
| H⁻¹ | Reconstruction | I(x,y) = ∫ H(x+dx,y+dy) · cos(kₓdx + k_ydy) d²r | Illuminate with reference conjugate, convolve. Extracts R*O term → reveals object wave. |
| ∞ | Fractal property | Any region of H encodes complete O (with resolution ∝ region size) |
CUT MODE demonstrates this: zero out 50-90% of H, reconstruct — object survives. |
| ψ | Sealed state | ψ_out × ψ_back = 1.00 | The )(1)( pattern — output wave times back-propagated wave equals unity. Information preserved. |