In [84]:
%pylab inline
from scipy.interpolate import interp1d

from IPython.display import Image


Populating the interactive namespace from numpy and matplotlib

Details

Below are the recorded measurements for the first batch of cutout factor measurements

Ionisation conversion

The following cell is used to initialise the ionisation to dose conversion function. Data is extracted from table 20 within TRS398. R50 of the 12 MeV beam is $4.75~g/cm^2$


In [85]:
zOnR50 = concatenate((array([0.02]), arange(0.05,1.25,0.05)))
R50of45 = array([0.997,1,1.004,1.008,1.012,1.017,1.021,1.026,1.03,
                 1.035,1.04,1.045,1.051,1.056,1.062,1.067,1.073,1.08,
                 1.086,1.092,1.099,1.106,1.113,1.120,1.128])

R50of50 = array([0.991,0.994,0.998,1.002,1.006,1.011,1.016,1.02,1.025,
                 1.03,1.035,1.041,1.046,1.052,1.058,1.064,1.07,1.076,
                 1.083,1.09,1.097,1.104,1.112,1.119,1.128])

R50of47_5 = mean([R50of45,R50of50],axis=0)

stopRatio = interp1d(zOnR50 * 47.5,R50of47_5)

Measurements

These measurements were done on Harry 2694, with a Markus chamber set to +300 V. The sensitivity was $1.398 \times 10^9$. All measurements were done at 100 SSD with a 12 MeV beam and a $10\times10$ cm applicator. Below are the readings recorded in chronological order.

Readings


In [86]:
standard_insert_reading = {}
cutout_reading = {}
factor = {}

Standard Insert


In [87]:
standard_insert_reading = array([])

standard_insert_reading = append(standard_insert_reading,mean([1.546,1.546])) # 01
standard_insert_reading = append(standard_insert_reading,mean([1.544,1.544])) # 02
standard_insert_reading = append(standard_insert_reading,mean([1.543,1.543])) # 03
standard_insert_reading = append(standard_insert_reading,mean([1.542,1.542])) # 04
standard_insert_reading = append(standard_insert_reading,mean([1.544,1.544])) # 05
# standard_insert_reading = append(standard_insert_reading,mean([1.539,1.539,1.539])) # 06

uncertainty = std(standard_insert_reading)

standard_insert_reading = mean(standard_insert_reading)

Output function definition


In [88]:
def outputFunction(depth,readings,reference):
    
    if size(readings) == 1:
        
        cutout_reading = readings
        factor = reference / cutout_reading * (stopRatio(25) / stopRatio(depth[0]))
        
    else:
    
        stop_ratio_corrected = stopRatio(depth) * readings

        scatter(depth,stop_ratio_corrected)
        ylabel('Stopping power ratio corrected')
        xlabel('Depth (mm)')
        title('Relative ionsation to relative dose')
        show()
        
        ref = argmax(stop_ratio_corrected)
        
        cutout_reading = readings[ref]
        
        factor = (reference / cutout_reading) * (stopRatio(25) / stopRatio(depth[ref]))
    
    
    print("Reading = %0.3f" %(cutout_reading))

    
    print("Cutout factor = %0.3f | %0.1f%%" %(factor, (factor - 1) * 100))
   
    return cutout_reading, factor

Cutout readings


In [89]:
# Applicator 01 measurement done here

In [90]:
cutout = '5x13'
depth = array([25,24])
readings = array([])

readings = append(readings,mean([1.524,1.525,1.524])) # ionisation at depth 25 mm RW3
readings = append(readings,mean([1.529,1.529,1.529])) # ionisation at depth 24 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.546)


Reading = 1.529
Cutout factor = 1.013 | 1.3%

In [91]:
cutout = '5x10'
depth = array([24,23])
readings = array([])

readings = append(readings,mean([1.530,1.530,1.529])) # ionisation at depth 24 mm RW3
readings = append(readings,mean([1.529])) # ionisation at depth 23 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.545)


Reading = 1.530
Cutout factor = 1.012 | 1.2%

In [92]:
cutout = '5x8'
depth = array([23,24])
readings = array([])

readings = append(readings,mean([1.525,1.525])) # ionisation at depth 23 mm RW3
readings = append(readings,mean([1.522,1.522,1.523])) # ionisation at depth 24 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.545)


Reading = 1.522
Cutout factor = 1.017 | 1.7%

In [93]:
cutout = '4x13'
depth = array([24,23,22])
readings = array([])

readings = append(readings,mean([1.508,1.509,1.508])) # ionisation at depth 24 mm RW3
readings = append(readings,mean([1.513,1.513,1.513])) # ionisation at depth 23 mm RW3
readings = append(readings,mean([1.516,])) # ionisation at depth 22 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.544)


Reading = 1.513
Cutout factor = 1.025 | 2.5%

In [94]:
# App 02 here

In [95]:
cutout = '4x10'
depth = array([23,22])
readings = array([])

readings = append(readings,mean([1.505,1.506,1.505])) # ionisation at depth 23 mm RW3
readings = append(readings,mean([1.509,1.508,1.509])) # ionisation at depth 22 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.544)


Reading = 1.509
Cutout factor = 1.030 | 3.0%

In [96]:
cutout = '4x8'
depth = array([22,21])
readings = array([])

readings = append(readings,mean([1.508,1.508,1.508])) # ionisation at depth 22 mm RW3
readings = append(readings,mean([1.510])) # ionisation at depth 21 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.5435)


Reading = 1.508
Cutout factor = 1.030 | 3.0%

In [97]:
cutout = '4x6.5'
depth = array([21,22])
readings = array([])

readings = append(readings,mean([1.495,1.496,1.496])) # ionisation at depth 21 mm RW3
readings = append(readings,mean([1.492,1.492,1.491])) # ionisation at depth 22 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.5435)


Reading = 1.496
Cutout factor = 1.041 | 4.1%

In [98]:
cutout = '3x13'
depth = array([21,19,20])
readings = array([])

readings = append(readings,mean([1.481,1.481])) # ionisation at depth 21 mm RW3
# readings = append(readings,mean([1.488,])) # ionisation at depth 20 mm RW3
readings = append(readings,mean([1.490,1.488])) # ionisation at depth 19 mm RW3
readings = append(readings,mean([1.485,1.485])) # ionisation at depth 20 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.543)


Reading = 1.489
Cutout factor = 1.049 | 4.9%

In [99]:
# App 03

In [100]:
cutout = '3x9'
depth = array([19,18])
readings = array([])

readings = append(readings,mean([1.483,1.483])) # ionisation at depth 19 mm RW3
readings = append(readings,mean([1.483,1.485,1.484])) # ionisation at depth 18 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.543)


Reading = 1.483
Cutout factor = 1.054 | 5.4%

In [101]:
cutout = '3x6.5'
depth = array([18,19])
readings = array([])

readings = append(readings,mean([1.484,1.483])) # ionisation at depth 18 mm RW3
readings = append(readings,mean([1.480,1.480])) # ionisation at depth 19 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.542)


Reading = 1.484
Cutout factor = 1.054 | 5.4%

In [102]:
# App 04 here

In [103]:
cutout = '3x5'
depth = array([18,17])
readings = array([])

readings = append(readings,mean([1.462,1.462])) # ionisation at depth 18 mm RW3
readings = append(readings,mean([1.465,1.465])) # ionisation at depth 17 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.542)


Reading = 1.465
Cutout factor = 1.070 | 7.0%

In [104]:
cutout = 'EqBanana'
depth = array([17,16])
readings = array([])

readings = append(readings,mean([1.460,1.460])) # ionisation at depth 17 mm RW3
readings = append(readings,mean([1.463,1.463])) # ionisation at depth 16 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.543)


Reading = 1.463
Cutout factor = 1.074 | 7.4%

In [105]:
cutout = 'Banana'
depth = array([16,15])
readings = array([])

readings = append(readings,mean([1.473,1.473])) # ionisation at depth 16 mm RW3
readings = append(readings,mean([1.475,1.474])) # ionisation at depth 15 mm RW3


cutout_reading[cutout], factor[cutout] = outputFunction(depth,readings,1.544)


Reading = 1.473
Cutout factor = 1.067 | 6.7%

In [106]:
# App 05

In [107]:
with open('custom_cutout_factors','r') as f:
    
    loaded_factors = eval(f.read())

    
factors_to_save = dict(list(loaded_factors.items()) + list(factor.items()))
# factors_to_save = factor

with open('custom_cutout_factors','w') as f:
    
    f.write(str(factors_to_save))