26
MONTE CARLO SIMULATION OF NEUTRON RADIOGRAPHY 2 (NUR-2) SYSTEM AT TRIGA MARK II RESEARCH REACTOR OF MALAYSIAN NUCLEAR AGENCY MASITAH BINTI OTHMAN UNIVERSITI TEKNOLOGI MALAYSIA

MONTE CARLO SIMULATION OF NEUTRON ...eprints.utm.my/id/eprint/32277/5/MasitahOthmanMFS2012.pdfSimulasi menggunakan gundalan fluks imej radiografi (FIR) manakala bagi eksperimen kaedah

  • Upload
    others

  • View
    3

  • Download
    0

Embed Size (px)

Citation preview

  • MONTE CARLO SIMULATION OF NEUTRON RADIOGRAPHY 2 (NUR-2)

    SYSTEM AT TRIGA MARK II RESEARCH REACTOR OF MALAYSIAN

    NUCLEAR AGENCY

    MASITAH BINTI OTHMAN

    UNIVERSITI TEKNOLOGI MALAYSIA

  • MONTE CARLO SIMULATION OF NEUTRON RADIOGRAPHY 2 (NUR-2)

    SYSTEM AT TRIGA MARK II RESEARCH REACTOR OF MALAYSIAN

    NUCLEAR AGENCY

    MASITAH BINTI OTHMAN

    A thesis submitted in fulfillment of the

    requirements for the award of the degree of

    Master of Science (Physics)

    Faculty of Science

    Universiti Teknologi Malaysia

    AUGUST 2012

  • iii

    To my wonderful family, thanks for the prayers and support

  • iv

    ACKNOWLEDGEMENT

    Firstly, I would like to thank Allah S.W.T. for giving me the strength to finish

    this project after many challenges I have to face in preparing this thesis. In particular,

    I would like to express my deep gratitude to my supervisor PM Dr. Wan Muhamad

    Saridan bin Wan Hassan for the continuous support of my master study and research,

    for his patience, thoughts, support and generosity in sharing his expertise toward this

    project. His guidance helped me in all the time of research and writing of this thesis.

    My sincere thanks also goes to my co-supervisor Dr. Azali Muhammad from

    Malaysian Nuclear Agency for the advice, guidance and motivation. Special thanks

    to Malaysian Nuclear Agency (Nuclear Malaysia) for giving me a chance to carry out

    a research here. Greatest thanks to all staff at Industrial Technology Department for

    their supportive suggestion and assistants, Nuclear Power Division and Health

    Physics Group who always help me to monitor the working area.

    Finally, I would like to express my sincere appreciation to my family for their

    loving, support and understanding especially during some difficult circumstances.

    Without their encouragement, I might not be able to carry this work to completion.

  • v

    ABSTRACT

    The imaging properties namely the edge spread function (ESF) and line

    spread function (LSF) of the Neutron Radiography 2 (NUR-2) system at Triga Mark

    II Reactor at Malaysian Nuclear Agency were investigated via simulation and

    experiment. The simulation of radiographic image was performed by using the

    Monte Carlo N-Particle codes version 5 and the real neutron radiographic images

    were collected from experiment done at NUR-2 facility. The simulation used Flux

    Image Radiograph (FIR) tally while for the experiment the direct method using film

    was used to detect the transported neutrons. The ESF of the system was measured

    using cadmium foil with thickness of 1 mm, 2 mm and 3 mm which blocked half of

    the neutron beam. Demineralized water was used as a scattering material to study the

    neutron scattering effect inside the material where it was placed between the

    cadmium foil and the detector. The differentiation of the ESF gave the LSF of the

    system and the full width at half maximum (FWHM) was estimated. From fast

    Fourier transformation of the LSF, the modulation transfer function (MTF) of the

    system was obtained. The results showed that the simulated neutron patterns without

    scattering material were similar to those found in experiment but with the presence of

    scattering material, the simulation and experimental data showed great differences.

    Cadmium with thickness of 1 mm gave the best spatial frequency response followed

    by 2 mm and 3 mm thick of cadmium. The range of spatial frequency for MTF at

    20% was 1.0 to 2.5 cycle/mm, while the range of FWHM was 0.3 to 0.5 mm. The

    FWHM and MTF obtained in this study are valuable for the characterization of

    imaging properties of the neutron radiography system.

  • vi

    ABSTRAK

    Sifat-sifat pengimejan iaitu fungsi taburan pinggiran (ESF) dan fungsi

    taburan garis (LSF) bagi sistem radiografi neutron di Reaktor Triga Mark II di

    Agensi Nuklear Malaysia telah dikaji menerusi simulasi dan eksperimen. Simulasi

    imej radiografi dilakukan dengan menggunakan perisian ‘Monte Carlo N-Particle’

    versi 5 dan imej sebenar radiografi neutron telah diperolehi daripada eksperimen

    yang dijalankan di kemudahan NUR-2. Simulasi menggunakan gundalan fluks imej

    radiografi (FIR) manakala bagi eksperimen kaedah terus menggunakan filem

    digunakan untuk mengesan neutron yang dipindahkan. ESF sistem diukur

    menggunakan kepingan kadmium dengan ketebalan 1 mm, 2 mm dan 3 mm yang

    menutup separuh daripada alur neutron. Air ternyahmineral digunakan sebagai bahan

    penyerak untuk mengkaji kesan serakan neutron di dalam bahan di mana ia

    diletakkan di antara kepingan kadmium dan pengesan. Pembezaan ESF terhadap

    jarak memberikan LSF sistem tersebut dan lebar penuh pada separuh maksimm

    (FWHM) dianggarkan. Dengan mengambil jelmaan Fourier bagi LSF, fungsi

    pemindahan modulasi (MTF) sistem tersebut telah diperolehi. Keputusan

    menunjukkan bahawa corak simulasi neutron tanpa bahan penyerak adalah hampir

    sama seperti yang diperolehi daripada eksperimen tetapi dengan kehadiran bahan

    penyerak, data simulasi dan eksperimen menunjukkan perbezaan yang besar.

    Kadmium dengan ketebalan 1 mm memberikan sambutan frekuensi ruang yang

    terbaik diikuti oleh kadmium dengan ketebalan 2 mm dan 3 mm. Julat frekuensi

    ruang untuk MTF 20% ialah 1.0 hingga 2.5 kitar/mm sementara julat FWHM ialah

    0.3 hingga 0.5 mm. MTF dan FWHM yang diperolehi dalam kajian ini adalah

    berharga untuk pencirian sifat pengimejan sistem radiografi neutron.

  • vii

    TABLE OF CONTENTS

    CHAPTER TITLE PAGE

    DECLARATION ii

    DEDICATION iii

    ACKNOWLEDGEMENT iv

    ABSTRACT v

    ABSTRAK vi

    TABLE OF CONTENTS vii

    LIST OF TABLES x

    LIST OF FIGURES xi

    LIST OF SYMBOLS AND ACRONYMS xiv

    LIST OF APPENDICES xvi

    1 INTRODUCTION

    1.1 Background of research 1

    1.2 Historical Review of Neutron Radiography 3

    1.3 Research Objectives 6

    1.4 Rational for Research 6

    1.5 Research Scope 7

    1.6 Organization of Thesis 7

    2 LITERATURE REVIEW

    2.1 Neutron Radiography 8

    2.1.1 Principle of neutron radiography 11

    2.1.2 Neutron sources 12

  • viii

    2.1.2.1 Accelerator 12

    2.1.2.2 Radioisotopes 13

    2.1.2.3 Nuclear reactor 14

    2.2 The Monte Carlo N-Particle Code Version 5 15

    2.2.1 The Monte Carlo Method 16

    2.2.2 Neutron Physics in MCNP5 17

    2.3 Transfer Function for Imaging System 18

    2.3.1 Edge and Line Spread Function 18

    2.3.2 Two Dimensional Fourier Transform 20

    2.4 Modulation Transfer Function 21

    2.5 Neutron Radiographic Facilities at the Malaysian

    Nuclear Agency (Nuclear Malaysia)

    22

    2.6 Previous study on NUR-2 system 24

    3 METHODOLOGY

    3.1 Introduction to Sample 26

    3.2 Geometry of Exposure 27

    3.3 Monte Carlo Simulations 29

    3.3.1 Input file 29

    3.3.2 Output 30

    3.3.3 Simulations in MCNP5 31

    3.4 Experimental confirmation of the MCNP

    simulation

    32

    3.4.1 Experimental Procedure 33

    3.5 Edge Image Processing 37

    3.6 MTF measurement and calculation 39

    4 RESULTS AND DISCUSSION

    4.1 MCNP simulation results 42

    4.1.1 Cadmium without scattering material 43

    4.1.2 Cadmium with scattering material 45

    4.2 Experimental results 47

    4.2.1 Cadmium without scattering material 47

  • ix

    4.2.2 Cadmium with scattering material 51

    4.3 Comparison of MCNP simulation and experiment 56

    5 CONCLUSION AND RECOMMENDATION

    5.1 Conclusion 59

    5.2 Recommendation 61

    REFERENCES 62

    APPENDICES 65

  • x

    LIST OF TABLES

    TABLE NO.

    TITLE PAGE

    2.1 Classification of neutron by energy 10

    3.1 Radiographic image quality 35

    4.1 Estimation of spatial frequency at MTF20% from

    simulation and experiment for each thickness of

    cadmium

    58

    4.2 Estimation of FWHM from simulation and

    experiment for each thickness of cadmium

    58

  • xi

    LIST OF FIGURES

    FIGURE NO.

    TITLE PAGE

    2.1 Mass absorption coefficients for the elements for

    both thermal neutrons and X-rays

    9

    2.2 Schematic sketch for neutron radiography 11

    2.3 Random history of a neutron incident on a slab of

    material that can undergo fission

    17

    2.4 A line input δ(x1) 19

    2.5 Representation of an ideal edge profile 21

    2.6 Derivation of the MTF from the edge response

    curve

    22

    2.7 Reactor TRIGA MARK II beamports and thermal

    column arrangements

    23

    2.8 Layout of NUR-2 facility 24

    2.9 Neutron collimator arrangement 24

    3.1 Cadmium foil 27

    3.2 Diagram of knife-edge experiment 28

    3.3 MCNP input file structure 29

    3.4 The used Monte Carlo model for calculation of the

    ESF

    32

    3.5 Setup for knife-edge measurement without

    scattering material

    33

    3.6 Neutron radiography setup in NUR-2 exposure

    room

    34

  • xii

    3.7 Characteristic of NUR-2 measured by measured

    ASTM beam purity indicator

    35

    3.8 DR3000 digital radiograph film digitisation system 36

    3.9 Setup for knife-edge measurement with scattering

    material

    36

    3.10 (a) Surface plot of ESF profile direct from

    TECPLOT file

    37

    (b) Cropped ESF profile from TECPLOT file 37

    3.11 Edge profile retrieval using Isee! Software 38

    3.12 Cropped knife-edge image of cadmium 39

    3.13

    Operational framework of the MTF measurement

    and calculation

    40

    3.14 FWHM determination 41

    4.1 Comparison of MCNP simulation result of (a) Edge

    spread function, (b) Line spread function and (c)

    Modulation transfer function for three different

    thickness of cadmium without scattering material

    44

    4.2 Comparison of MCNP simulation result of (a) Edge

    spread function, (b) Line spread function and (c)

    Modulation transfer function for three different

    thickness of cadmium with scattering material

    46

    4.3 Neutron radiography image for cadmium knife-edge 47

    4.4 Cropped knife-edge image of cadmium 48

    4.5 Comparison of experimental result of (a) Edge

    spread function and (b) Line spread function for

    three different thickness of cadmium without

    scattering material

    49

    4.6 Comparison of experimental result of (a) raw and

    (b) smoothed modulation transfer function for three

    different thickness of cadmium without scattering

    material

    50

    4.7 Neutron radiography image for cadmium knife-edge

    with scatterer

    51

  • xiii

    4.8 Cropped knife-edge image of cadmium with

    scatterer

    52

    4.9 Comparison of experimental result of (a) Edge

    spread function and (b) Line spread function for

    three different thicknesses of cadmium with

    scattering material

    53

    4.10 Comparison of experimental result of (a) Edge

    spread function and (b) Line spread function for

    three different thicknesses of cadmium with

    scattering material

    55

    4.11 MTF comparison of MCNP simulation and

    experiment for (a) 1 mm, (b) 2 mm and (c) 3 mm

    thick of cadmium for all cases

    57

  • xiv

    LIST OF SYMBOLS AND ACRONYMS

    eV - Electron volt

    kW - Kilowatt

    R - Röentgen

    n - Neutron

    cm - Centimetre

    mm - Millimetre

    µm - Micrometre

    s - Second

    I - Transmitted intensity

    I0 - Incident intensity

    Ʃ - Macroscopic absorption cross section

    d - Thickness of the sample

    Sb-Be - Antimony Beryllium

    Am-Be - Americium Beryllium

    Cf-252 - Carlifornium-252

    Gd - Gadolinium

    MCNP - Monte Carlo N-Particle

    FIR - Flux image radiograph

    PScF - Point scattered function

    l(x) - Line spread function (LSF)

    e(x) - Edge spread function (ESF)

    h(x,y) - Point spread function (PSF)

    M(u) - Modulation Transfer Function (MTF)

    f(x) - Input function

    F(u) - Fourier Transform

  • xv

    σ - Standard deviation

    δ(x) - Delta function

    ROI - Region of Interest

    FWHM - Full Width at Half Maximum

  • xvi

    LIST OF APPENDICES

    APPENDIX TITLE PAGE

    A Publications 65

    B Material safety data sheet for cadmium 66

    C Codes for MCNP simulation for 1 mm thick of

    cadmium without scattering material

    69

    D Codes for MCNP simulation for 1 mm thick of

    cadmium with scattering material

    70

  • CHAPTER 1

    INTRODUCTION

    1.1 Background study

    For more than 60 years, neutron radiography has existed as a testing

    technique and as a research tool especially in non-destructive testing. Neutron

    radiography is an imaging technique which provides images similar to X-ray

    radiography. The ways that neutrons interact with matter are very different from the

    way x-rays interact with matter. X-rays interact with the electron cloud surrounding

    the nucleus of an atom while neutrons interact with the nucleus itself. This property

    allows neutron radiography to image objects which are invisible to X-ray. The

    attenuation coefficient of X-ray is directly dependent on atomic number of material

    but the attenuation coefficient of neutrons is not a function of the atomic number of

    material. Neutrons are efficiently attenuated by only a few specific elements

    especially material that have high hidrogen content. Organic materials or water for

    example are clearly visible in neutron radiographs while many structural materials

    such as aluminium or steel are nearly transparent.

  • 2

    Since early 1960s, imagings with neutrons have been widely used in

    industrial research and non-destructive testing applications. Berger in the first book

    in 1965 published on neutron radiography had suggested three main areas of

    applications of neutron radiography which is reactor technology, rocket and missile

    technology and general applications (Berger, 1965). A short review of neutron

    radiography applications in the Nondestructive Testing Handbook include in general,

    explosives, turbine blades, assemblies, contrast agents, metallurgy and nuclear

    industry field was published in later (Paul, 1985).

    There are several components that tend to degrade the image and thus limit

    the resolution of neutron radiography (Park, 2000). According to Harms and Wyman

    (1986), the five major sources of image degradation in neutron radiography are

    converter unsharpness, scattering degradation, geometric unsharpness, motion

    unsharpness and noise degradation.

    Limitations in the imaging and processing systems, such as converter-film

    unsharpness and noise degradation are well defined, and image degradation due to

    the system is easily obtained through a simple experiment (Lindsay, 1983).

    Geometric unsharpness associated with lack of collimation in the beam can be

    ignored if the length of the collimator is large compared to the diameter of the source

    size. Motion unsharpness which is due to object motion during the exposure can be

    ignored if the object is static during the exposure. However, if the object has a large

    scattering cross section, the scattering degradation caused by the neutrons scattered

    in that object cannot be ignored. Therefore, removing object scattering from the

    image is important in order to improve the image quality for the highly scattering

    material (Park, 2000).

    In this research, we will determine the edge spread function (ESF), line spread

    function (LSF) and the resolution of the Neutron Radiography 2 (NUR-2) facility at

    TRIGA MARK II reactor of Malaysian Nuclear Agency via Monte Carlo simulation

    and the experimental confirmation will be made to verify the simulation results. The

  • 3

    modulation transfer function (MTF) for the system will be estimated. The MTF is

    useful for the enhancement and restoration of neutron radiographic image.

    1.2 Historical Review of Neutron Radiography

    Radiography with neutrons began shortly after the discovery of the neutron

    by Chadwick in 1932. The first investigation on neutron radiography was performed

    in Germany by Kallman and Kuhn. This study initiated in 1935, resulted in a great

    number of German, French and American patents, most of them filed in the late

    1930’s and early 1940’s. Kallman and Kuhn used neutrons produced by an

    accelerator to make radiographs but the quality was not very good due to the weak

    and ill defined beam (Domanus, 1992). Although the actual radiography produced

    by them was not of high quality, these efforts indicate some of the possible uses of

    the neutron radiography and also yielded a great deal of information concerning

    many of the characteristics of neutron sources and image detection methods (Berger,

    1965).

    A similar study on neutron radiography was being conducted by Peter in

    1946, also in German. While the neutron source used by Kallmann was of relatively

    low intensity, Peter used a more powerful accelerator to produced radiographs of

    useful quality with only a few minutes of exposure. According to Berger (1965),

    Peter only took 1 to 3 minutes to obtain radiograph with his source whereas a

    scintillator detection method which is the fastest technique developed by Kallmann

    and Kuhn required four hours of exposure with their smaller source. The

    radiographs published by Peter were of fair quality and could be obtained in a

    reasonable time (Berger, 1965).

  • 4

    In 1956, the first neutron radiographs were produced by Thewlis and

    Derbyshire in England. They carried out their work with the BEPO reactor at

    Harwell, and its intense neutron beam allowed them to produce radiographs of much

    better quality than those of Kallman and Peters (Von Der Hardt and Röttger, 1981).

    They produced good quality images having specific non-destructive testing

    application such as voids in uranium and in “Boral”, a neutron shielding material

    fabricated from boron carbide and aluminium (Domanus, 1992).

    The spread function approach that uses Monte Carlo simulation to determine

    the shape of the point spread function (PSF) of object to detector distance, object

    thickness, and various scattering and absorption cross section was attempted by

    Segal et. al., (1983). Since then some researchers have tried to use PSF

    deconvolution method to restore the neutron radiographic images, but the

    computational requirements and the necessity of a priori knowledge have made this

    option unattractive as a formal method for removing the object scattered neutron

    contribution from radiographic image (Syh et. al., 1990; Mora and Bernizer, 1992).

    Recent advances in computer processing power and speed have made the

    Monte Carlo technique a powerful tool for image formation formulation simulations.

    Monte Carlo techniques have been used by several investigators to model various

    aspects of image generation in neutron radiography and in computed tomography

    (Mora and Bernizer, 1992; Yanch et. al., 1992; Wallin, 2005, Hassanein, 2006).

    Most researchers have used Monte Carlo simulation to calculate the scattering

    contribution of neutron in the radiographed object for different cases to be applied

    for the restoration of radiographs (Park, 2000; Kardjilov et. al., 2005; Hassanein et.

    al., 2005; Hassan, 2009).

    The MTF can be used to characterize the resolution performance of a digital

    radiographic system (Samei et. al., 2005). The MTF technique could be applied to

    determine the image degradation components of the imaging system. The removal of

    blurring effects due to scattered neutron has been attempted by several investigators

  • 5

    either mathematically, experimental methods or by using a combination of

    experimental data and Monte Carlo simulations. However, mathematical formulation

    cannot be used to characterize the unsharpness due to the object scattering accurately

    (Park, 2000).

    In order to remove the effects due to scattered neutrons valid for various

    geometries, Park (2000) tried to develop the neutron scattering functions for neutron

    radiographic images through the solution of the neutron transport equation. The

    analytic solution was verified through Monte Carlo simulations and the experimental

    method but the algorithm obtained is limited to two-dimensional radiographic

    images. There are limitations in the scattering correction algorithm obtained for

    example the scattering LSF was estimated with a given knowledge on the scattering

    material. Furthermore, there are many uncertainties in the measurement of the

    neutron radiographic images which should be evaluated in detail.

    Most recently scattering correction in neutron radiography was studied by

    Hassanein (2006) from Swiss Federal Institute of Technology Zurich for the

    application to the thermal neutron tomography. Similar to Park (2000), Hassanein

    also used spread function method and Monte Carlo simulation to calculate point

    scattered function (PScF). The PScF calculated were used successively to correct the

    scattering effect in the three other thermal neutron radiography facilities with

    different beam characteristic. The correction algorithm has been tested successfully

    not only for NEUTRA facility at PSI where the algorithm has been developed, but

    also for neutron radiography facilities at ANTARES (FRM II, Technische

    Universität München), CONRAD (Hahn-Meitner-Institute Berlin) and well as

    SANRAD (Necsa Pretoria). The algorithm yield accurate quantitative results for any

    facility if the neutron energy spectrum and the properties of the detector are known

    and the experimental recommendations are realized (Hassanein, 2006).

  • 6

    1.3 Research Objectives

    The aim of this study is to analyze and compare the neutron radiographic images

    produced by NUR-2 system available at Malaysian Nuclear Agency via simulation

    and experiment. The objectives are;

    (a) To determine the edge spread function and line spread function of neutron

    imaging system and estimate the full width at half maximum.

    (b) To determine the resolution property of the neutron radiography system via

    the modulation transfer function.

    1.4 Rational for Research

    The MTF is a basic measure for characterizing and quantifying the

    performance of an imaging system. When an imaging system is to be characterized,

    a straightforward approach to measure the MTF is to image a known input, such as a

    point source, a slit or knife-edge, which corresponds to PSF, LSF and ESF

    respectively. In this research, the knife-edge method was used to determine the

    spread function of the system in order to estimate the FWHM. The effect of the

    scattered neutron in the material was also considered in this study since the blurring

    effects due to scattered neutron could contribute to the degradation of the image.

    The value of MTF and FWHM obtained could be used in future work for image

    restoration codes. This research will contribute to the development of a neutron

    scattering correction algorithm for the enhancement of neutron radiographic images

    peculiar to the NUR-2 facility at TRIGA MARK II reactor of Malaysian Nuclear

    Agency.

  • 7

    1.5 Research Scope

    The aim of this research is to determine the ESF and LSF of neutron

    radiography system at NUR-2 facility. Cadmium with thickness of 1 mm, 2 mm and

    3 mm was used as a sample in order to obtain the ESF. To study the neutron

    scattering effect, demineralized water was used as a scattering material. This

    scattering material was placed between the sample and the detector. The resolution

    properties of neutron radiographic images are also to be determined via MTF. This

    research only covers the used of NUR-2 facility although there have other neutron

    radiography facilities using tangential beam port and thermal column. The

    simulation was done by using Monte Carlo n-particle transport code version 5

    (MCNP5).

    1.6 Organization of Thesis

    This thesis details the work, results and analysis from the study of neutron

    radiographic system. The introduction chapter describes the basic of neutron

    radiography and indicates some factors that contribute to the degradation of the

    image. Chapter 2 describes the principle of neutron radiography broadly, the transfer

    system for imaging system and the Monte Carlo technique. Research methodologies

    are discussed in Chapter 3 which detailed the simulation and experimental

    confirmation of the simulation results. Further in Chapter 4, the result and discussion

    of each method are presented. Finally, the conclusion of the research and suggestion

    for other improvements are presented in chapter 5.

  • 62

    REFERENCES

    Berger, H. (1965). Neutron Radiography: Methods, Capabilities and Applications.

    Amsterdam: Elsevier Publishing Company.

    Berger, H. (1971). Neutron Radiography. Annual Review of Nuclear Science. 21:

    335-364.

    Brown, F. B. (2003). MCNP-A general Monte Carlo N-Particle Transport Code

    version 5. New Mexico: Los Alamos National Laboratory.

    Cao, L. and Biegalski, S. R. (2007). The Measurement of the Presampled MTF of a

    High Spatial Resolution Neutron Imaging System. Nuclear Instruments and

    Methods in Physics Research A. 582: 621-628.

    Dainty, J. C. and Shaw, R. (1974). Image Science: Principle, Analysis and

    Evaluation of Photographic-type Imaging Process. London: Academic Press.

    Domanus, J. C. (1992). Practical Neutron Radiography. Dordrecht: Kluwer

    Academic Publishers.

    Harms, A. A. and Wyman, D. R. (1986). Mathematics and Physics of Neutron

    Radiography. Dordrecht: D. Reidel Publishing Company.

    Hassan, M. H. (2009). Point Scattered Function for fast neutron radiography.

    Nuclear Instruments and Method in Physics Research B. 267: 2545–2549.

    Hubbard, D. W. (2007). How to Measure Anything. New Jersey: John Wiley &

    Sons, Inc.

    Hassanein, R. K. (2006). Correction Methods for the Quantitative Evaluation of

    Thermal Neutron Tomography. Swiss Federal Institute of Technology Zurich.

    Ph. D. Thesis.

    IAEA-TECDOC 1604. (2008). Neutron Imaging: A Non-destructive tool for

    Materials Testing. IAEA Vienna.

  • 63

    Kardjilov, N., Lehmann, E. and Vontobel, P. (2002). Representation of The Image

    Formation in Applied Neutron Radiography in terms of a PSF Superposition.

    Journal of Physics D: Applied Physics. 74, 228- 230.

    Kardjilov, N., de Beer, F., Lehmann, E. and Vontobel, P. (2005). Scattering

    corrections in neutron radiography using point scattered functions. Nuclear

    Instruments and Methods in Physics Research A. 542: 336–341.

    Khairul Anuar bin Mohd Salleh (2009). Evaluation of Imaging Performance of

    Industrial Digital Radiography Detector Systems. Universiti Teknologi

    Malaysia. Master Thesis.

    Lazarine, A. D. (2006). Medical Physics Calculations with MCNP: A Primer. Texas

    A&M University. Master Thesis.

    Lindsay, J. T. (1983). Development and Characterization of a Real-time Neutron

    Radiographic Imaging System. University of Missouri. Ph. D. Thesis.

    MacGillivray, G. (2000). Imaging with neutrons: other penetrating radiation.

    Proceedings of SPIE, the international Society for Optical Engineering. 4142,

    48-57.

    Mora, C. A. and Brenizer, J. S. (1992). Scattering Blur in Neutron Radiography: A

    Monte Carlo Simulation. Proc. 4th

    World Conf. on Neutron Radiography.

    Amsterdam : Gordon and Breach Publishers, 791.

    Park, J. (2000). Neutron Scattering Correction Functions for Neutron Radiographic

    Images. University of Michigan. Ph. D. Thesis.

    Paul, M. (1985). Nondestructive Testing Handbook: Radiography and radiation

    testing. 2nd

    ed. New York: American Society for Nondestructive Testing.

    Raj, B., Jayakumar, T. and Thavasimuthu, M. (2002). Practical Non-destructive

    Testing. 2nd

    ed. New Delhi: Woodhead Publishing Limited.

    Rosdiyana Hasham@Hisam (2008). Parameters for Digital Neutron Radiography at

    Triga Mark II Research Reactor of Malaysian Nuclear Agency. Universiti

    Teknologi Malaysia. Master Thesis.

    Samei, E., Buhr, E., Granfors, P. R., Vandenbroucke, D., and Wang, X. (2005).

    Comparison of edge analysis techniques for the determination of the MTF of

    digital radiographic systems. Phys. Med. Biol. 50, 3613-3625.

  • 64

    Segal, Y., Gutman, A. and Notea, A. (1983). Scattering Point Spread Functions in

    Neutron Radiography. Proc. 1st World Conference on Neutron Radiography.

    Dordrecht: D. Reidel Publishing Company.

    Sprawls, P. (1995). Physical principles of medical imaging. Madison: Medical

    Physics Publishing.

    Syh, H. W., Saxe, R. F. and Wehring, B. W. (1990). Image restoration for neutron

    radiography, Proc. 3rd World Conference on Neutron Radiography. Dordrecht:

    D. Reidel Publishing Company. 431-437.

    Von Der Hardt, P. and Röttger, H. (1981). Neutron Radiography Handbook.

    Dordrecht: D. Reidel Publishing Company.

    Wallin, L. (2005). MCNPX Simulations for Evaluation of High-energy Neutron

    Tomography of Canisters for Spent Nuclear Fuel. Uppasala University. Master

    Thesis.

    Yanch, J. C., Dobrzeniecki, A. B., Ramanathan, C. and Behrman, R. (1992).

    Physically realistic Monte Carlo simulation of source, collimator and

    tomographic data acquisition for emission computed tomography. Phys. Med.

    Bio. 37, 853-870.