### Abstract

Computer-based virtual experiments and simulations in all branches of physical sciences and engineering has attracted wide spread interest among the researchers from all parts of the scientific world due to its multifaceted applications and versatility. Computer simulation of diffraction phenomena, including simulation of diffraction gratings, has widespread applications, since diffraction gratings, especially amplitude diffraction gratings, are used extensively in spectrographs and spectrometers. Usually, these are used in the Fraunhofer (far-field) regime. In this Chapter, we have used the ab-initio Iterative Fresnel Integral Method (IFIM) for the complete simulation of the near-field Fresnel diffraction images from any amplitude diffraction grating. The simulations can be performed in any PC in a reasonable amount of timeand are executed in the MATLAB language. Complete explanations of the computational method, as applied to the diffraction gratings, are described, along with the simulation algorithms. Comparison of the simulated results with certain situations, which can be described by analytical equations, is made. The agreement confirms the correctness of the present simulation methods that will pave the way for future studies. We finally mention some extensions of the N-stilt problem, namely the application to tilted and rotating gratings and multi-wavelength illuminations.

Original language | English |
---|---|

Title of host publication | Computer Vision and Simulation |

Subtitle of host publication | Methods, Applications and Technology |

Publisher | Nova Science Publishers, Inc. |

Pages | 108-152 |

Number of pages | 45 |

ISBN (Electronic) | 9781634858038 |

ISBN (Print) | 9781634857901 |

Publication status | Published - Jan 1 2016 |

### Fingerprint

### Keywords

- Computer simulation
- Diffraction gratings
- Fresnel diffraction
- Iterative fresnel integrals method
- Rectangular apertures

### ASJC Scopus subject areas

- Economics, Econometrics and Finance(all)
- Business, Management and Accounting(all)

### Cite this

*Computer Vision and Simulation: Methods, Applications and Technology*(pp. 108-152). Nova Science Publishers, Inc..

**Simulation of diffraction gratings in the fresnel diffraction regime : Using the ab-initio iterative fresnel integrals method.** / Abedin, Kazi Monowar; Mujibur Rahman, S. M.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Computer Vision and Simulation: Methods, Applications and Technology.*Nova Science Publishers, Inc., pp. 108-152.

}

TY - CHAP

T1 - Simulation of diffraction gratings in the fresnel diffraction regime

T2 - Using the ab-initio iterative fresnel integrals method

AU - Abedin, Kazi Monowar

AU - Mujibur Rahman, S. M.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Computer-based virtual experiments and simulations in all branches of physical sciences and engineering has attracted wide spread interest among the researchers from all parts of the scientific world due to its multifaceted applications and versatility. Computer simulation of diffraction phenomena, including simulation of diffraction gratings, has widespread applications, since diffraction gratings, especially amplitude diffraction gratings, are used extensively in spectrographs and spectrometers. Usually, these are used in the Fraunhofer (far-field) regime. In this Chapter, we have used the ab-initio Iterative Fresnel Integral Method (IFIM) for the complete simulation of the near-field Fresnel diffraction images from any amplitude diffraction grating. The simulations can be performed in any PC in a reasonable amount of timeand are executed in the MATLAB language. Complete explanations of the computational method, as applied to the diffraction gratings, are described, along with the simulation algorithms. Comparison of the simulated results with certain situations, which can be described by analytical equations, is made. The agreement confirms the correctness of the present simulation methods that will pave the way for future studies. We finally mention some extensions of the N-stilt problem, namely the application to tilted and rotating gratings and multi-wavelength illuminations.

AB - Computer-based virtual experiments and simulations in all branches of physical sciences and engineering has attracted wide spread interest among the researchers from all parts of the scientific world due to its multifaceted applications and versatility. Computer simulation of diffraction phenomena, including simulation of diffraction gratings, has widespread applications, since diffraction gratings, especially amplitude diffraction gratings, are used extensively in spectrographs and spectrometers. Usually, these are used in the Fraunhofer (far-field) regime. In this Chapter, we have used the ab-initio Iterative Fresnel Integral Method (IFIM) for the complete simulation of the near-field Fresnel diffraction images from any amplitude diffraction grating. The simulations can be performed in any PC in a reasonable amount of timeand are executed in the MATLAB language. Complete explanations of the computational method, as applied to the diffraction gratings, are described, along with the simulation algorithms. Comparison of the simulated results with certain situations, which can be described by analytical equations, is made. The agreement confirms the correctness of the present simulation methods that will pave the way for future studies. We finally mention some extensions of the N-stilt problem, namely the application to tilted and rotating gratings and multi-wavelength illuminations.

KW - Computer simulation

KW - Diffraction gratings

KW - Fresnel diffraction

KW - Iterative fresnel integrals method

KW - Rectangular apertures

UR - http://www.scopus.com/inward/record.url?scp=85019867699&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019867699&partnerID=8YFLogxK

M3 - Chapter

SN - 9781634857901

SP - 108

EP - 152

BT - Computer Vision and Simulation

PB - Nova Science Publishers, Inc.

ER -