Photon Beams Flashcards
What is the equation for intensity/attenuation?
I(x) = Io(e^-ux) where ‘u’ is the linear attenuation coefficient and x is depth
How does the attenuation coefficient relate to the HVL?
I(x)/Io = 1/2 ln(.5) = ln(e^-ux) 0.693 = ux x (HVL) = 0.693/u note that this is similar to half life (t1/2 = 0.693/lambda)
What is needed for ‘good geometry’ when measuring a beam?
1) narrow beam (no scatter or field size effects) 2) long source-target distance (scatter, field size) 3) long target-detector distance (no secondary particles)
How many HVLs approximate a tenth value layer?
TVL = 3.3 HVLs
Which is more penetrating: the photon beam that goes through the heel or toe?
Tricky question…while more of the beam makes it through the toe, the *heel* is more penetrating due to beam hardening. Thus, as you get deeper in tissue the heel flattens out.
How is the wedge angle measured?
Angle of the isodose line at 10cm depth in water
Describe a Thoraeus filter and its utility
The filer is constructed with layers of metals from high Z to low Z. This is so the characteristic x-rays from the high Z materials are filtered out by the low Zs. Sn>Cu>Al. The purpose is to remove low energy photons and make a more penetrating beam.
How do we describe beam energies in the orthovoltage range? MV range?
Ortho: HVLs MV: PDD
How is PDD defined?
Measured in water, at 10cm with a 10x10 field at SSD = 100 –> “%dd(10)x
Rule of thumb: what is the effective energy of a beam?
Approx 1/3 peak energy (kVp). Ex: effective energy of a 4MV beam is 1.33 MeV
What is the equation for hand calcs (SSD setup)? How does it change for SAD?
Essentially Dose = MU x K x ISF x PDD x ScSp x WF x TF….you’ll rearrange it so MU = Dose/[[]], but essentially you’re taking the output factor K (cGy/MU) and hitting it with a bunch of different correction factors SAD: just using TPR or TMR in place of PDD
What is the inverse square factor, what is it used for?
As you get further away from a radiation source, the output decreases (output is related to energy deposited by a photon…as you get further away, the photons spread out in space, and less dose is deposited per unit area). So if you wanted to correct for this, the Intensity at point 2 vs point 1 would be inversely related: I2/I1 = (distance 1/distance 2)^2… that is, the intensity at point 2 is “inversely” related to the “square” of the ratio d1/d2
In practical terms, how do you calculate the inverse square factor?
I2/I1 = (d1/d2)2. At calibration, I1 is based on SSDref + dmax. Thus I2/I1 = (SSDref+dmax/SSDexp+dmax)^2; dmax is constant for any given energy
How is the PDD measured and defined?
PDD is simply the [dose at depth x/dose at dmax]. It is experimentally derived in a water phantom (at reference SSD and reference field size) and a table created
How do the following affect PDD: 1) beam energy 2) SSD 3) field size 4) depth
1) higher energy = more penetration = higher PDD 2) longer SSD = decreased dose rate (InvSq) BUT relative impact of fluence decreases (Mayneord) = increased PDD 3) larger field = more lateral scatter = more central dose = increased PDD 4) deeper = beam attenuation = decreased PDD