Mathematical Methods in Dosimetry and Spectrometry

The course is not on the list Without time-table
Code Completion Credits Range
16MMS ZK 2 2+0
Department of Dosimetry and Application of Ionizing Radiation

Course objectives are applications of mathematical methods and simulation techniques in the dosimetry and spectrometry, physical principles of detection, resposponses of detection systems, calculation of dosimetric quantities using spectrometry data processing and analysis.


Basic courses of matematics and statistics

Basic knovledge of programming and computer literacy

Advantage is basics in Unix and programming in C++.

Syllabus of lectures:

1. Computer code ROOT, properties, basics of utilization, demonstration, practical training/excercises, graphical output.

2. Computer code ROOT - data input and storage, histograms, macros, data visualization, excercises.

3. Smoothing and numerical differentiation and applications for spectra processing, excercises (preparation of corresponding macros in the ROOT).

4. Methods of peak searching, excercises (macro for Black method in ROOT).

5. Methods of peak fitting, demonstration and excercises in the ROOT code.

6. Simulation of energy deposition in detection systems, calculation of detector responses/response matrices.

7. Techniques of the detector model description and calculation of detector response using Monte Carlo method, example/excercise (response of scintilation spectrometer).

8. Detector response matrix, spectra deconvolution, methods of quantitative analysis of spectrometry data; demonstration and practical training.

9. Processing of RFA spectra, demonstration/excercises.

10. Simulation of radiation fieds of typical source configurations and calculation of radionuclide concentrations; demnstration/training.

11. Calculation of calibration factors for selected experimental techniques/arrangements in dosimetry; demnstration/training.

12. Bonner spectrometer fo neutron spectrometry, simulation of spectrometer responses, methods of incident spectra reconstruction; excercises (description of the Bonner spectrometer model).

Syllabus of tutorials:

Lectures/training take place in the computer lab, themes are demonstrated and practiced immediately. Outline of excercises for individual modules is included in the sylabus.

Study Objective:

Students gain knowledge in methods of spectrometry data processing and analysis, detector responses/response matrices calculation, spectra deconvolution, calculation of dosimetric quantities and calibration factors for spectrometry applications.


All methods are demonstrated and practiced using examples of practical applications.

Study materials:

Key references:

1. Knoll,G.,F.:Radiation detection and Measurement, John Wiley & Sons, 2000

2. Gilmore, G.: Practical Gamma-Ray Spectrometry, J. Wiley,ISBN: 978-0-470-86196-7, April 2008.

Recommended references:

3. Lux, I., Koblinger, L.: Monte Carlo Particle Transport Methods- Neutron and Proton Calculations, ISBN 0-8493-6074-9, CRC Press, 1991.

Computer code ROOT, http://root.cern.ch

Media and tools:

computer lab

computer codes and SW/tools

Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2021-02-28
For updated information see http://bilakniha.cvut.cz/en/predmet25043405.html