Automated Cell Counter — Optical Calculator

Clean Interactive Selector for Camera, Tube Lens & Objective Lens

1. Objective Lens Selection
mm
NA
2. Tube Lens Selection
mm
mm
3. Digital Camera Sensor Selection
mm
mm
µm
µm
Magnification (M)
2.22×
fTL / fobj
Field of View
7.34 mm²
3.32 × 2.21 mm
Interrogated Vol.
0.734 µL
147% of 0.50 µL Target
Depth of Field
63.8 µm
Axial Focus Range
✓ SINGLE-SHOT COMPLIANT: 0.734 µL Interrogated Volume (Target: ≥ 0.50 µL) PASS
Optical Train Spatial Zones & Apertures:
Objective RMS Mount Exit Pupil:
Ø 9.0 mm
Space 1: Infinity Space (L) Collimated Parallel Rays
Houses Filter Cube & Dichroic
Max: 152.4 mm (No Vignetting)
Tube Lens Doublet Clear Aperture:
Ø 22.5 mm
Space 2: Mechanical Barrel Converging Focused Rays
Physical Metal Extension Tube
Length: 82.5 mm (C-Mount FFD)
Camera C-Mount (17.5mm in) Sensor Diag:
Ø 8.9 mm
Parameter Calculated Value Assessment
Effective Object-Plane Scale: 1.080 µm / pixel Optimal
Linear Sampling Density: 926 pixels / mm High
Sampling Across 10 µm Stem Cell: 9.26 pixels Pass (≥ 5 px)
Rayleigh Optical Resolution Limit (λ = 530 nm): 3.23 µm Diffraction Limit
Nyquist Sampling Criterion (2 × r / Scale): 5.99 (Over-sampled) Valid (> 2.0)
Objective Exit Pupil Aperture (Øpupil = 2 × fobj × NA): 9.00 mm Beam Dia.
Tube Lens Clear Aperture (ØTL): 22.50 mm Lens Optic
Camera Sensor Diagonal Image Field (Øsensor = √(W² + H²)): 8.86 mm Image Circle
Infinity Space (Space 1): Objective ➔ Tube Lens
Max allowable distance for filter cube before vignetting: (ØTL − Øpupil) × fTL / Øsensor
152.37 mm Parallel Path
Mechanical Barrel Length (Space 2): Tube Lens ➔ Camera Flange
Physical metal extension tube length (fTL − 17.526 mm C-mount flange focal distance)
82.47 mm Focused Path
Live Field of View Visualizer (Scale: 1 mm Grid) 3.32 mm × 2.21 mm
Governing Optical Formulas: Magnification: M = fTL / fobj  |  FOV Area: (Wsensor · Hsensor) / M²  |  Rayleigh: r = 0.61λ / NA  |  DoF: (λ / NA²) + (e / (M · NA))  |  Max Infinity Space: Lmax = (ØTL − 2·fobj·NA) · fTL / Øsensor  |  Mechanical Barrel: fTL − 17.526 mm (C-Mount FFD)