Physica

02 Imaging

Bucky factor from transmission

B = (primary + scatter in) / (primary + scatter out of the grid).

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Simulation

Bucky factor from transmission — Change the numbers; the scene follows.

Where it works

Radiography room

Radiography room

Bucky / detector

In the Bucky / detector: grid, AEC, DQE, and the pixel that samples the image.

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Formula

B=Ip+IsTpIp+TsIsB = \frac{I_p+I_s}{T_p I_p + T_s I_s}

Variables

Results

  • B

    Bucky factor

    3.4884

  • SPR_in

    Scatter-to-primary in

    2

  • SPR_out

    Scatter-to-primary out

    0.2286

Explanation

B=Ip+IsTpIp+TsIsB = \frac{I_p+I_s}{T_p I_p + T_s I_s}

What it means

The Bucky factor is how much you must raise mAs when inserting a grid: incident (primary+scatter) over what the grid transmits. It also yields scatter-to-primary ratios before and after the grid. This is a working relation in Diagnostic imaging.

Where it is used

Clinically it sits on the Radiography room — Bucky / detector. In the Bucky / detector: grid, AEC, DQE, and the pixel that samples the image. Diagnostic equations live on the tube, the detector, and the patient: magnification, air kerma, CTDI, and why bone lights up at 70 kV. They turn a technique chart into physics you can defend.

Radiography room · Open this machine

How to use it

Estimate I_s/I_p from thickness and kVp (SPR often 2–5 in abdomen). A good grid might pass 70% of primary and 8% of scatter → B ≈ 4. Change one input and watch the curve and the simulation follow.

Symbols

  • I_pIncident primary100 a.u.
  • I_sIncident scatter200 a.u.
  • T_pPrimary transmission0.7
  • T_sScatter transmission0.08

Worked example

A typical case from the default values: I_p = 100 a.u. (Incident primary); I_s = 200 a.u. (Incident scatter); T_p = 0.7 (Primary transmission); T_s = 0.08 (Scatter transmission). Substituting into the relation gives B = 3.4884; SPR_in = 2; SPR_out = 0.2286. These are teaching numbers — align them with your machine.

Typical values give

  • B = 3.4884
  • SPR_in = 2
  • SPR_out = 0.2286

Where it comes from

The displayed formula is the working relation. B = (primary + scatter in) / (primary + scatter out of the grid). Usual reference: Bushberg. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: Bushberg

Assumptions & limits

Simple two-channel model. Real grids have finite selectivity, focus distance, and K-factor (contrast improvement) that this calculator does not output separately.

Pitfalls

kVp is not the same as effective energy. CTDI is not patient dose — SSDE and organ dose come after. Do not quote DLP as if it were effective dose without a k-factor. Simple two-channel model. Real grids have finite selectivity, focus distance, and K-factor (contrast improvement) that this calculator does not output separately.

Keep this

Technique is physics: kV sets contrast, mAs sets noise, filtration sets the spectrum. Simple two-channel model. Real grids have finite selectivity, focus distance, and K-factor (contrast improvement) that this calculator does not output separately.

In this specialty

Diagnostic imaging