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X-Ray Tube Physics: Diagram, Anode Heel Effect and Focal Spot

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Physics with Friends Episode 1 - the X-ray tube
Physics with Friends, Episode 1: The One with The X-Ray Tube

X-ray tube physics: the short version

An X-ray tube is an evacuated glass or metal envelope containing a heated tungsten filament (the cathode) and a tungsten target (the anode). Heating the filament boils off electrons; the kilovoltage across the tube accelerates them to the anode, where under 1% of their kinetic energy becomes X-rays and the rest becomes heat. Two design tricks dominate everything that follows: the anode is bevelled, so a large heat-absorbing actual focal spot projects as a small effective focal spot (the line focus principle), and it rotates, so the heat is spread around a track instead of a point. The price of the bevel is the anode heel effect: the beam is measurably weaker on the anode side of the field.

Labelled X-ray tube diagram showing cathode filament, focusing cup, rotating anode, stator, rotor and glass envelope
Labelled X-ray tube diagram

X-ray tube diagram: what each part does

ComponentMaterial / detailWhy it is made that way
Filament (cathode)Thoriated tungsten coil, heated to roughly 2,200 ยฐCTungsten has a very high melting point and low vapour pressure; thorium lowers the work function so more electrons are emitted per unit heat
Focusing cupNegatively charged nickel or molybdenum cup around the filamentElectrostatically squeezes the diverging electron stream onto a narrow strip of the target
Dual filamentsShort filament and long filament in one cupGives a selectable small focal spot (detail) and large focal spot (heat capacity) from the same tube
Target (anode)Tungsten alloyed with about 5%โ€“10% rhenium, bonded to a molybdenum or graphite discTungsten gives high atomic number (Z = 74) and a 3,422 ยฐC melting point; rhenium resists surface crazing; molybdenum or graphite adds heat storage at low weight
Rotor and statorInduction motor: rotor inside the envelope, stator coils outsideSpins the anode without any electrical connection crossing the vacuum seal
EnvelopeBorosilicate glass or, in modern tubes, metal and ceramicHolds the vacuum so electrons travel without colliding with gas molecules; metal envelopes trap stray off-focus electrons
Tube housingLead-lined, oil-filledOil conducts heat away and insulates; lead absorbs leakage radiation
The parts of a diagnostic X-ray tube and the reason for each design choice.
Electron cloud and space charge effect around the X-ray tube filament
Electron cloud: the space charge effect

Thermionic emission and the space charge effect

Passing a filament current of a few amperes through the coil raises it to incandescence and electrons escape from the metal surface: thermionic emission. Before any kilovoltage is applied, those electrons hover as a negatively charged cloud just outside the filament. That cloud repels further electrons trying to leave, and the self-limiting result is the space charge effect.

This produces two distinct operating regimes, and knowing which one you are in explains several exam favourites:

  • Space-charge-limited region (roughly below 40 kVp): the cloud, not the filament, limits the tube current. Raising kVp pulls more electrons out of the cloud, so mA climbs with kVp even at a fixed filament current. This is why generators apply space-charge compensation.
  • Emission-limited (saturation) region (higher kVp): the applied voltage sweeps the cloud across as fast as it forms. Tube current now depends almost entirely on filament temperature, which is why mA is set by the filament circuit, not by kVp.

A practical corollary: because filament life falls steeply with temperature, modern generators keep the filament on a low standby current and boost it only during the rotor-prep stage, which is the delay you hear before the exposure.

Bremsstrahlung radiation produced when an electron is deflected by a tungsten nucleus
Bremsstrahlung (braking) radiation

Bremsstrahlung versus characteristic radiation

Only two processes make the X-rays you use. Everything else in the target becomes heat: at 100 kVp with a tungsten anode, roughly 99% of the electron energy is wasted as heat and well under 1% leaves as X-rays.

BremsstrahlungCharacteristic radiation
MechanismIncoming electron is decelerated and deflected by the positive nuclear field; the lost kinetic energy is emitted as a photonIncoming electron ejects an inner-shell (usually K-shell) electron; an outer-shell electron drops in and the binding-energy difference is emitted as a photon
SpectrumContinuous, from near zero up to a maximum equal to the peak kilovoltageDiscrete lines at fixed energies determined by the target element
Tungsten energiesMaximum photon energy in keV equals the kVp selectedK-alpha near 58โ€“59 keV, K-beta near 67 keV (K-shell binding energy 69.5 keV)
kVp thresholdProduced at any kVpNo K-characteristic radiation below about 69.5 kVp, because the electron cannot eject a K-shell electron
Share of outputThe large majority of a diagnostic beamAbout 10% of tungsten-target output at 100 kVp, rising to roughly 25% at 150 kVp; none at all below 69.5 kVp
The two X-ray production mechanisms compared.

Two things follow directly. First, an unfiltered spectrum is dominated by low-energy photons that would only add skin dose, which is why inherent plus added filtration (typically 2.5 mm aluminium equivalent above 70 kVp) is mandatory. Second, mammography deliberately chooses different targets (molybdenum has K-lines at 17.5 and 19.6 keV, rhodium at 20.2 and 22.7 keV) because at those energies characteristic radiation lands exactly where soft-tissue contrast is best.

Characteristic radiation from a tungsten target after K-shell electron ejection
Characteristic radiation from a tungsten target
Rotating anode versus stationary anode X-ray tube compared
Rotating anode versus stationary anode

Stationary anode versus rotating anode X-ray tube

Heat, not physics, is the limiting factor in tube design. A stationary anode concentrates every exposure onto the same few square millimetres of tungsten. A rotating anode spreads the same energy around a circular focal track, increasing the area heated by about two orders of magnitude and allowing far higher tube currents.

FeatureStationary anodeRotating anode
TargetTungsten button set into a copper blockTungsten-rhenium focal track on a molybdenum or graphite disc, 70โ€“125 mm diameter
Heat loadingLow: the same spot is bombarded every timeHigh: energy is distributed around the whole focal track
Rotation speedNoneAbout 3,000โ€“3,600 rpm standard; 8,000โ€“10,000 rpm in high-speed tubes
Typical focal spotLarger, often 1โ€“2 mm0.3โ€“0.6 mm small focus, 0.8โ€“1.2 mm large focus
CoolingConduction into copper, then oilMostly radiation from the disc; convection in rotating-envelope designs
Where you see itDental units, mobile and portable units, some fluoroscopyGeneral radiography, CT, angiography, mammography
Stationary versus rotating anode tubes.

Tube loading is quoted in heat units. For a single-phase generator, heat units equal kVp multiplied by mA multiplied by exposure time; three-phase and high-frequency generators multiply that by about 1.35 because their more constant waveform delivers more energy for the same nominal settings. Modern CT tubes are rated in millions of heat units, and the rate at which a tube can shed heat between series is often more clinically limiting than its total storage capacity.

Animated rotating anode X-ray tube
Rotating anode: illustration from BiomedEngg (YouTube)

The line focus principle and anode angle

The target face is bevelled, typically at 7ยฐโ€“20ยฐ with 12ยฐ the commonest general-radiography angle. The electrons strike a long, narrow strip (the actual focal spot), but viewed from the patient that strip is foreshortened into a much smaller square (the effective focal spot):

Effective focal spot = actual focal spot length ร— sin (anode angle)

You get a large area for heat and a small source for sharpness from the same piece of tungsten. The trade-off is fixed by geometry:

Making the anode angle steeper (smaller, e.g. 7ยฐ)Making the anode angle shallower (larger, e.g. 17ยฐ)
Smaller effective focal spot, so better spatial resolutionLarger effective focal spot, so more geometric unsharpness
Greater heat loading for a given effective focal spotLess heat loading for the same effective focal spot
More pronounced anode heel effectLess pronounced anode heel effect
Smaller field coverage at a given distance: the beam is cut off on the anode sideLarger field coverage; needed for 35 ร— 43 cm work at short distances
Suits small-field, high-detail work such as angiographySuits large-field general radiography and chest work
Why there is no single best anode angle.

A Monte Carlo analysis of anode tilt confirmed that the angle changes both the emitted photon fluence and the thermal load: the focal-spot temperature rise falls as the tilt angle increases, and altering the tilt from 8ยฐ to 28ยฐ together with the acquisition angle raised photon fluence by up to 55%.[1]

Effect of anode angle on effective focal spot size - line focus principle
Effect of anode angle on effective focal spot size
Anode heel effect diagram showing reduced beam intensity on the anode side of the field
The anode heel effect

The anode heel effect explained

X-rays are produced a few micrometres inside the target, not on its surface. Photons emitted towards the anode side of the field must travel through a longer path of tungsten before escaping, so they are preferentially self-absorbed by the target itself: the “heel” of the anode. The result is a beam that is systematically weaker on the anode side and stronger on the cathode side, along the anodeโ€“cathode axis only. Across the perpendicular axis, intensity is essentially uniform.[2]

The effect is larger than most people assume, and it is not the same on every machine. Ionisation-chamber mapping of a 70 ร— 70 cm field on three general radiographic units found that at 85 kVp the average air kerma was 31.5%, 15.5% and 43.1% higher at the cathode end than at the anode end: a three-fold difference between machines in the same department. The same study confirmed the effect is significant only along the anodeโ€“cathode axis (p โ‰ค 0.03) and not across it (p โ‰ฅ 0.29).[2] An earlier phantom study measured a cathode-to-anode air dose ratio of 1.8.[3]

The heel effect becomes more pronounced whenโ€ฆWhy
The anode angle is smaller (steeper target)Longer path through tungsten for anode-side photons
The tube is olderFocal-track pitting and tungsten vaporised onto the envelope increase self-absorption
The tube potential is higherMeasured across 60, 85 and 110 kVp on all three units tested
The field size is largerThe field edges sit at more extreme angles from the target face
The source-to-image distance is shorterA given cassette subtends a wider angular range of the beam
Factors that worsen the anode heel effect.[2]
Practical application of the anode heel effect in patient positioning
Practical application of the anode heel effect

Using the heel effect: what the evidence actually shows

The classic teaching is to place the thicker end of the body part towards the cathode, where the beam is stronger, so that film density comes out even. That reasoning was written for film-screen radiography, where density could not be rescued afterwards. Digital radiography post-processing largely equalises the image, and a 2021 systematic review found only five heterogeneous studies, none with images assessed by radiologists, with contradictory technical and visual results. Its conclusion was blunt: the published evidence neither proves nor disproves an effect of anode orientation on image quality in DR, and no firm recommendation can be made on image-quality grounds.[4]

The dose argument is on much firmer ground. Because the cathode side genuinely delivers more radiation, turning the tube so that radiosensitive organs sit on the anode side reduces their dose without a penalty in acceptability:

ProjectionOrientationMeasured effect
AP pelvisFeet towards anodeSignificant reduction in testicular dose versus feet towards cathode (p < 0.001); no significant difference for ovaries[5]
AP pelvisFeet towards anodeOptimum dose-plus-quality combination for both sexes; no adverse effect on visual image quality[6]
Lumbar spine AP and lateralHead towards cathodeReversing this (head towards anode) raised ovarian dose by 16%โ€“17% and testicular dose by 12%โ€“27%[3]
Paediatric chestAnode end towards the faceThyroid dose 12% lower and gonad dose 5.9% lower; all images still rated acceptable by five specialists[7]
MammographyChest wall towards cathodeStandard design; compensates for the thicker tissue at the chest wall
Evidence-based orientation choices that exploit the heel effect.

Note the tension in the lumbar spine row. Anatomically the caudal end is thicker, so classic density-matching teaching would put the feet at the cathode: precisely the orientation that raises gonad dose. When image quality can be recovered digitally and dose cannot be un-delivered, the dose argument should generally win.

The focal effect: the other anodeโ€“cathode gradient

The heel effect has a less-taught twin. The effective focal spot is not one fixed size across the field: it is foreshortened most on the anode side and least on the cathode side, so the apparent source is smallest at the anode end and largest at the cathode end. Measurements across a 14 ร— 17 inch field using line-pair patterns found spatial resolution degrading by up to 75% from the anode end to the cathode end, an effect named the “focal effect”.[8]

So the two gradients point in opposite directions, and the practical rule is easy to remember:

  • Cathode side: more photons, larger effective focal spot. Put the thicker part here.
  • Anode side: fewer photons, smaller effective focal spot, lower dose. Put the part needing the finest detail, and any radiosensitive organ, here.

What has changed in tube technology

The tube in the diagram above is still the standard design, but high-end CT has moved well beyond it.

  • Rotating-envelope tubes. Instead of a disc spinning inside a fixed envelope, the whole envelope rotates and the anode is cooled directly by the surrounding oil. The first clinical tube of this design achieved a cooling rate of 4.8 MHU/min (high enough to remove anode-cooling delays from the workflow entirely) and tolerates the 20 g forces of fast gantry rotation.[9]
  • Liquid-metal spiral-groove bearings. These replace ball bearings with a gallium-based alloy film, running silently, conducting heat straight out of the anode and greatly extending tube life. They are now a standard differentiator among CT tube manufacturers alongside new target materials and superconducting designs.[10]
  • Flying focal spot. Electromagnetic deflection makes the focal spot jump between positions between readings. The z-flying focal spot doubles z-sampling: it narrows the slice sensitivity profile by a factor of about 1.4, resolves 0.4 mm bars where 0.6 mm was the limit without it, and suppresses windmill artefacts even at pitch 1.5.[11]
  • Photon-counting CT. The detector, not the tube, is what changed here, but the resulting demand for ever smaller, brighter focal spots is now the thermal bottleneck, and is driving focal-spot multiplexing and modified source designs.[10]

Quick revision table

QuestionAnswer
What controls tube current (mA)?Filament temperature, in the emission-limited region
What controls maximum photon energy?kVp: the maximum photon energy in keV equals the kVp
Tungsten K-characteristic energiesK-alpha about 58โ€“59 keV, K-beta about 67 keV; needs above 69.5 kVp
Effective focal spot formulaActual focal spot length ร— sin (anode angle)
Typical anode angle7ยฐโ€“20ยฐ, commonly 12ยฐ
Rotating anode speed3,000โ€“3,600 rpm standard; 8,000โ€“10,000 rpm high-speed
Which side of the field is more intense?The cathode side: by roughly 16%โ€“43% at 85 kVp depending on the tube
Which side gives the sharpest image?The anode side, because the effective focal spot is smallest there
Heat unitskVp ร— mA ร— s, multiplied by about 1.35 for three-phase and high-frequency generators
X-ray tube numbers worth memorising.

Frequently asked questions

What is the anode heel effect?

The anode heel effect is the fall in X-ray beam intensity towards the anode side of the radiation field. X-rays are generated just below the target surface, and photons directed towards the anode side travel through more tungsten before escaping, so more of them are absorbed by the anode itself. Beam intensity is therefore higher on the cathode side, measured at 15.5%โ€“43.1% higher at 85 kVp depending on the tube, and this variation occurs only along the anodeโ€“cathode axis.

Which side of the X-ray beam is stronger, anode or cathode?

The cathode side. One phantom study measured a cathode-to-anode air dose ratio of 1.8. The practical consequences are that the thicker part of the anatomy should be placed towards the cathode, and radiosensitive organs such as the gonads or thyroid should be placed towards the anode to reduce their dose.

What is the difference between a stationary and a rotating anode X-ray tube?

A stationary anode is a fixed tungsten button in a copper block, so every exposure heats the same small area; this limits tube current and is why stationary anodes are used only in dental and portable units. A rotating anode spins a tungsten-rhenium disc at 3,000โ€“10,000 rpm, so the electron beam bombards a circular focal track rather than a single point. Spreading the heat over roughly two orders of magnitude more area allows far higher tube currents and smaller focal spots, which is why all general radiography, CT and angiography tubes use rotating anodes.

What is the line focus principle?

The line focus principle is the use of a bevelled anode so that a large actual focal spot projects as a small effective focal spot. The effective focal spot equals the actual focal spot length multiplied by the sine of the anode angle. This gives a large surface area to absorb heat while keeping the apparent X-ray source small enough for a sharp image. The unavoidable side effect is the anode heel effect.

Does a smaller anode angle make the heel effect worse?

Yes. A smaller (steeper) anode angle means anode-side photons traverse a longer path through the target, so self-absorption increases. Measurements across three radiographic units confirmed that the heel effect was more pronounced with a smaller anode target angle, with greater tube age, and at higher tube potentials.

Does the anode heel effect still matter in digital radiography?

For image quality, the evidence is weak. A 2021 systematic review found only five heterogeneous studies with contradictory results and concluded that no firm recommendation on anode orientation can be made for image quality in digital radiography. For radiation dose, the effect is real and reproducible: orienting the patient so that the gonads or thyroid lie on the anode side measurably lowers their dose, with reductions of about 6%โ€“27% reported across pelvis, lumbar spine and paediatric chest studies.

Why is tungsten used as the anode target material?

Tungsten combines a high atomic number (Z = 74), which makes bremsstrahlung production relatively efficient, with a melting point of 3,422 ยฐC and good thermal conductivity, which let it survive the heat. Diagnostic targets are alloyed with roughly 5%โ€“10% rhenium to resist surface crazing with repeated thermal cycling, and bonded to a molybdenum or graphite disc that adds heat capacity without adding much rotating mass.

Did you like it? Or as Chandler would ask: can X-ray physics BE any more interesting? Let us know in the comments. Next episode: The One with The X-Ray Interactions. Check the front page for updates.

References

  1. Ou Hadda H, Zerfaoui M, Bahhous K, et al. Impact of the anode tilt on photon emission spectrum and temperature rise in an x-ray tube. Biomed Phys Eng Express. 2022;9(1). PMID: 36562508. doi:10.1088/2057-1976/acab6c
  2. Chan CTP, Fung KKL. An Investigation on the Non-uniform Distribution of Radiation Intensity Output of Diagnostic X-ray Tubes. J Med Imaging Radiat Sci. 2014;45(3):223โ€“229. PMID: 31051973. doi:10.1016/j.jmir.2014.04.006
  3. Fung KK, Gilboy WB. “Anode heel effect” on patient dose in lumbar spine radiography. Br J Radiol. 2000;73(869):531โ€“536. PMID: 10884750. doi:10.1259/bjr.73.869.10884750
  4. Kusk MW, Jensen JM, Gram EH, Nielsen J, Precht H. Anode heel effect: Does it impact image quality in digital radiography? A systematic literature review. Radiography (Lond). 2021;27(3):976โ€“981. PMID: 33741222. doi:10.1016/j.radi.2021.02.014
  5. Mraity HA, England A, Hogg P. Gonad dose in AP pelvis radiography: Impact of anode heel orientation. Radiography (Lond). 2017;23(1):14โ€“18. PMID: 28290334. doi:10.1016/j.radi.2016.06.003
  6. Mraity HAAB, Walton L, England A, Thompson J, Lanca L, Hogg P. Can the anode heel effect be used to optimise radiation dose and image quality for AP pelvis radiography? Radiography (Lond). 2020;26(2):e103โ€“e108. PMID: 32052763. doi:10.1016/j.radi.2019.11.094
  7. Daruich De Souza C, Rico Freitas G, Fachel Medeiros R, et al. Protocol for reducing radiation exposure during pediatric thoracic radiography. J Med Imaging Radiat Sci. 2022;53(3):437โ€“443. PMID: 35750602. doi:10.1016/j.jmir.2022.05.012
  8. Katz MC, Nickoloff EL. Radiographic detail and variation of the nominal focal spot size: the “focal effect”. RadioGraphics. 1992;12(4):753โ€“761. PMID: 1636037. doi:10.1148/radiographics.12.4.1636037
  9. Schardt P, Deuringer J, Freudenberger J, et al. New x-ray tube performance in computed tomography by introducing the rotating envelope tube technology. Med Phys. 2004;31(9):2699โ€“2706. PMID: 15487753. doi:10.1118/1.1783552
  10. Zhang H, Ji Z, Jiang R. Advances in X-Ray Tube Technology for CT Systems: Key Component Innovation. Zhongguo Yi Liao Qi Xie Za Zhi. 2025;49(4):383โ€“388. PMID: 40948278. doi:10.12455/j.issn.1671-7104.240563
  11. Kyriakou Y, Kachelriess M, Knaup M, Krause JU, Kalender WA. Impact of the z-flying focal spot on resolution and artifact behavior for a 64-slice spiral CT scanner. Eur Radiol. 2006;16(6):1206โ€“1215. PMID: 16541229. doi:10.1007/s00330-005-0118-9

10 thoughts on “X-Ray Tube Physics: Diagram, Anode Heel Effect and Focal Spot”

  1. Dinesh Kumar M

    Good for remembering, please go on with some difficult topics. Please donโ€™t stop this innovative idea.

    1. Dr. Amar Udare, MD

      Sure! Glad you liked it, Dinesh!

      1. Mohan Bhagwat

        I am impressed by how clearly radiology physics is explained, accompanied by excellent diagrams. Thank you to the entire team.
        Mohan

        1. Dr. Amar Udare, MD

          Glad you liked it.

  2. Harsh PATEL

    It’s a very interesting.
    Kindly update for usg ,ct ,Mri and pet-ct ,spect-ct physics.

    1. Dr. Amar Udare, MD

      We are working on it and it should be up soon! Thank you for your feedback, Harsh!

  3. basma

    very interesting and informative .

  4. Praveen Kumar Ramasamy

    woow amazying ……

    1. Dr. Amar Udare, MD

      Glad you liked it, Praveen.

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