Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra
This thesis details the development of a C++ software library designed to simulate the time-dependent, strongly out-of-equilibrium thermalisation of solid materials upon interaction with a femtosecond laser pulse, specifically the numerical methods used to ultimately construct spectra of realistic 2...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2022
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| Online Access: | https://hdl.handle.net/10356/156958 |
| _version_ | 1826110815808258048 |
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| author | Ching, Trevor Haoye |
| author2 | Marco Battiato |
| author_facet | Marco Battiato Ching, Trevor Haoye |
| author_sort | Ching, Trevor Haoye |
| collection | NTU |
| description | This thesis details the development of a C++ software library designed to simulate the time-dependent, strongly out-of-equilibrium thermalisation of solid materials upon interaction with a femtosecond laser pulse, specifically the numerical methods used to ultimately construct spectra of realistic 2D materials. The numerical methods for computing the general form of the multidimensional Dirac-delta integral and the convolution integral were implemented, and then applied to the study of the absorption spectrum of 2D monolayer graphene. The thesis also elaborates on the fundamental concepts behind the methods and the troubleshooting process during the implementation of the numerical methods. |
| first_indexed | 2024-10-01T02:40:22Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/156958 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:40:22Z |
| publishDate | 2022 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1569582023-02-28T23:11:21Z Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra Ching, Trevor Haoye Marco Battiato School of Physical and Mathematical Sciences marco.battiato@ntu.edu.sg Science::Physics::Atomic physics::Solid state physics This thesis details the development of a C++ software library designed to simulate the time-dependent, strongly out-of-equilibrium thermalisation of solid materials upon interaction with a femtosecond laser pulse, specifically the numerical methods used to ultimately construct spectra of realistic 2D materials. The numerical methods for computing the general form of the multidimensional Dirac-delta integral and the convolution integral were implemented, and then applied to the study of the absorption spectrum of 2D monolayer graphene. The thesis also elaborates on the fundamental concepts behind the methods and the troubleshooting process during the implementation of the numerical methods. Bachelor of Science in Applied Physics 2022-05-04T06:22:48Z 2022-05-04T06:22:48Z 2022 Final Year Project (FYP) Ching, T. H. (2022). Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/156958 https://hdl.handle.net/10356/156958 en application/pdf Nanyang Technological University |
| spellingShingle | Science::Physics::Atomic physics::Solid state physics Ching, Trevor Haoye Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra |
| title | Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra |
| title_full | Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra |
| title_fullStr | Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra |
| title_full_unstemmed | Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra |
| title_short | Numerical algorithm for the time dependent strongly-out-of-equilibrium Boltzmann equation: numerical methods for spectra |
| title_sort | numerical algorithm for the time dependent strongly out of equilibrium boltzmann equation numerical methods for spectra |
| topic | Science::Physics::Atomic physics::Solid state physics |
| url | https://hdl.handle.net/10356/156958 |
| work_keys_str_mv | AT chingtrevorhaoye numericalalgorithmforthetimedependentstronglyoutofequilibriumboltzmannequationnumericalmethodsforspectra |