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Medical Imaging X-Rays I
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Principle of X-ray A source of radiation
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Principle of X-ray A source of radiation A patient of non uniform
substance
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Principle of X-ray A source of radiation A shadow
A patient of non uniform substance
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Principle of X-ray A source of radiation
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X-ray tube Working Principle: Accelerated charge causes EM radiation:
Cathode filament C is electrically heated (VC = ~10V / If = ~4 A) to boil off electrons Electrons are accelerated toward the anode target (A) by applied high-voltage (Vtube = 40 – 150 kV); Deceleration of electrons on target creates "Bremsstrahlung" evacuated gas envelope filament VC, If + A - C - +
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X-ray tube Cathode Filament (-) Tube (vacuum) Coil of tungsten wire
High resistance in coil ->temperature rise to > 2200oC Thermionic emission of electrons Tube (vacuum) Typical: Vtube = 40 – 150 kVp, Itube = mA evacuated gas envelope filament VC, If - + - - - - - - A - - - C space charge stops further emission kVp, Itube - +
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X-ray tube Anode Tungsten (high atomic number Z=74)
Electrons striking the anode generate HEAT and X-Rays In mammography ->Molybdenium (Z=42) and Rhodium (Z=45) Stationary anode-> tungsten embedded in copper Rotating anode (3000 to 10,000rpm) -> increase heat capacity, target area evacuated gas envelope filament VC, If - + - - - - - - A - - - C space charge kVp, Itube - +
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XRAY PRODUCTION
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X-RAY production X-ray tube produces two forms of radiation
Bremsstrahlung radiation (white radiation) Characteristic radiation
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White radiation, Bremsstrahlung
(Brake) Inelastic interaction with atoms nuclei Loss of kinetic energy Xray (E) = lost kinetic E X-Ray High kinetic energy Forward radiation Emission Z2 electron Coulombic interaction (Atomic number) # of protons
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White radiation, Bremsstrahlung
-Smaller L produce larger X-ray -Broad range of emitted wavelengths X-Ray L
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How many wavelength will be emitted by a beam of electrons underegoing “Bremsstrahlung ”
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White radiation, Bremsstrahlung
-Smaller L produce larger X-ray -Broad range of emitted wavelengths X-Ray L impact with nucleus maximum energy
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X-ray intensity -QUANTITY
Overall Bremsstrahlung intensity I : 90% of electrical energy supplied goes to heat, 10% to X-ray production X-ray production increases with increasing voltage V
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Bremsstrahlung spectrum
relative output Theoretically, bremsstrahlung from a thick target creates a continuous spectrum from E = 0 to Emax Actual spectrum deviates from ideal form due to Absorption in window / gas envelope material and absorption in anode Multienergetic electron beam Peak voltage kVp
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Characteristic radiation
relative output Energy must be > binding energy Discrete energy peaks due to electrons transitions Ka transition L->K Kb transition M,N,O->K Peak voltage kVp
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Characteristic radiation
Incident electron
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Characteristic radiation
l2 Incident electron Occurs only at discrete levels There is a possibility of forming Auger electrons
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Characteristic radiation
In Tungsten characteristic X-ray are formed only if V>69.5 kV because K shell binding energy is 69.5 keV Molybdenum K-shell can be obtained at V> 20kV L shell radiation is also produced but it’s low energy and often absorbed by glass enclosure
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X-ray intensity -QUALITY
Effective photon energy produced Effective = ability to penetrate the patient Effective photon energy ~ 1/3 to ½ of energy produced Higher energy better penetration Beam filtration – beam hardening
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Beam Hardening Polyenergetic beam >monoenergetic beam
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X-ray tube construction
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Anode Most of the energy deposited on the anode transfers into heat
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Reduction of anode heating
Made of Tungsten, high melting point high atomic number Z = 74 Kinetic energy of incident electrons 100keV electron 6 MeV electron
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Anode the target angle, 7 to 20 (average 12)
Seffective = Sactual*sin() > Line focusing principle
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Anode filament balance
General radiography
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Heel effect - SID source to image distance
- Heel effect is smaller at smaller SID Reduction of intensity on the anode side SID The reduction in intensity can be used to reduce patient exposure
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Beam collimation Size and shape of the beam Lead shutters
Dose reduction
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Reduction of anode heating
Anode angle of 7º…15º results in apparent or effective spot size Seffective much smaller than the actual focal spot of the electron beam (by factor ~10) Rotation speed ~ 3000 rpm Decreases surface area for heat dissipation from by a factor of
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Limitations of anode angle
Restricting target coverage for given source-to-image distance (SID) "Heel effect" causes inhomogeneous x-ray exposure
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X-ray tube - space charge
Space charge cloud forms at low tube voltage At low filament current a saturation voltage is achieved, rising tube voltage will not generate higher electron flow At high filament current and low tube voltage, space charge limits tube current->space-charge limit
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Space charge limited At high filament current and low tube voltage, space charge limits tube current->space-charge limit
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Generator Single phase Three phase Single phase input (220V, 50A)
Single pulse or double pulse->rectifier Min exposure time 1/120 sec Xray tube current non linear below 40kV Three phase Three phase wave, out of phase 120 deg More efficient higher voltage Better control on exposure
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Rectifier Protects cathode from anode thermionic emission
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Rectifier 1 phase 3 phase
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BREAK!
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Principle of X-ray A source of radiation A patient of non uniform
substance
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Attenuation N = Noe-mL N True for Loss of photons by monoenergetic
x-ray Loss of photons by scattering or absorption L1 L No N m -> linear attenuation coefficient L1
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m linear attenuation coeff.
m = mr+ mph+ mc+ mp [cm-1] rayleigh photoelectric Compton pair
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m linear attenuation coeff.
m = mr+ mph+ mc+ mp [cm-1] depends on tissue soft tissue, hard tissue, metals m decreases when energy increase soft tissue: m = 0.35 0.16 cm-1 for E = 30 100keV m depends on density of material mwat > mice> mvapor
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Mass attenuation coeff.
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Mass attenuation coeff.
N = Noe- r(m/r)L rL = mass thickness
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Mass attenuation coeff.
N = Noe- r(m/r)L rL = mass thickness I x
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Poly-energetic beam Mass attenuation coefficient and linear attenuation coefficient are for mono-energetic beam Half-value layer is for quantifying poly-energetic beams
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HVL half value layer Thickness of material attenuating the beam of 50% - narrow beam geometry HVL for soft tissue is 2.5 3.0 cm at diagnostic energies
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HVL half value layer Transmission of primary beam:
10% chest radiography 1% scull radiography 0.5% abdomen radiography Mammography (low energy HVL 1 cm)
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Mean free path 1/m Average distance traveled before interaction
MFP=1/m HVL mfp
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Principle of X-ray A source of radiation A shadow
A patient of non uniform substance
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