Macro photography optics project microscopic subject details onto a digital camera image sensor at close focusing distances. In this camera lens scaling calculator, optical geometry is modeled through three adjustable inputs: a subject projection dimension ($V_1$), an optical reproduction multiplier ($V_2$), and a focal extension tube divisor ($V_3$).

From these optical inputs, the calculator resolves the primary magnification ratio ($[V_1 imes V_2] / max(0.01, V_3)$), the intermediate lens focal factor ($sqrt{max(0, V_1 imes V_2)}$), and the relative sensor coverage percentage ($[V_1 / (V_1 + V_2)] imes 100$).

### Distinct Worked Calculation Evaluating a close-up macro lens setup with extension rings: - Subject Projection Dimension ($V_1$): 72 - Optical Reproduction Multiplier ($V_2$): 16 - Focal Extension Divisor ($V_3$): 4

Step-by-step results: - Primary Magnification Metric: $(72 imes 16) / 4 = 1152 / 4 = 288.00$ - Intermediate Focal Root: $sqrt{72 imes 16} = sqrt{1152} approx 33.94$ - Relative Sensor Coverage: $[72 / (72 + 16)] imes 100 = (72 / 88) imes 100 approx 81.82%$

### In-Browser Execution Guarantee All lens formulas process locally via browser JavaScript math functions. Focal measurements, lens specifications, and aperture ratios remain confined to your device session.