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Modelling of photonic structures using Finite-difference time-domain method
Procházka, Pavel ; Kalousek, Radek (referee) ; Petráček, Jiří (advisor)
This bachelor thesis is focused on the basic description of the finite-difference time-domain method (FDTD) which serves to the numerical solution of Maxwell's equations. FDTD is very used today because during one calculation it is possible to obtain results in wide frequency spectrum. The thesis contains deduction of \mbox{equations} for description of this method and algorithm of calculation. The main goals of this thesis are the identification of the free Meep software, which is constructed for this calculations, and understanding of its properties. Most of Meep functions are described on three examples in the second part of bachelor thesis.
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Advanced simulations of photonic structures by FDTD method
Vozda, Vojtěch ; Veis, Martin (advisor)
Finite-Difference Time-Domain method (FDTD) is based on numerical solution of Maxwell's equations, nowadays widely used for simulating optical response of photonic structures. This paper provides brief introduction to the FDTD method and several important extensions which make the basic code much more versatile. In order to broaden analysis of photonic structures, transfer matrix method (TMM) is also involved. The code is firstly tested using simple model structures which optical response might be compared with different numerical or even analytical approaches. Debugged code is used to improve photonic crystals for enhanced sensitivity of biosensing devices based on refractive index changes of sensed medium. Last but not the least, properties (sensitivity and Q-factor of resonant peak) of holey waveguide are investigated in one-, two- and three-dimensional simulation. It is shown here, that even this simple structure may compete with complex photonic crystals in the field of biosensors. Powered by TCPDF (www.tcpdf.org)
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Pokročilé simulace fotonických struktur metodou FDTD
Vozda, Vojtěch ; Veis, Martin (advisor) ; Richter, Ivan (referee)
Finite-Difference Time-Domain method (FDTD) is based on numerical solution of Maxwell's equations, nowadays widely used for simulating optical response of photonic structures. This paper provides brief introduction to the FDTD method and several important extensions which make the basic code much more versatile. In order to broaden analysis of photonic structures, transfer matrix method (TMM) is also involved. The code is firstly tested using simple model structures which optical response might be compared with different numerical or even analytical approaches. Debugged code is used to improve photonic crystals for enhanced sensitivity of biosensing devices based on refractive index changes of sensed medium. Last but not the least, properties (sensitivity and Q-factor of resonant peak) of holey waveguide are investigated in one-, two- and three-dimensional simulation. It is shown here, that even this simple structure may compete with complex photonic crystals in the field of biosensors. Powered by TCPDF (www.tcpdf.org)
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Advanced simulations of photonic structures by FDTD method
Vozda, Vojtěch ; Veis, Martin (advisor)
Finite-Difference Time-Domain method (FDTD) is based on numerical solution of Maxwell's equations, nowadays widely used for simulating optical response of photonic structures. This paper provides brief introduction to the FDTD method and several important extensions which make the basic code much more versatile. In order to broaden analysis of photonic structures, transfer matrix method (TMM) is also involved. The code is firstly tested using simple model structures which optical response might be compared with different numerical or even analytical approaches. Debugged code is used to improve photonic crystals for enhanced sensitivity of biosensing devices based on refractive index changes of sensed medium. Last but not the least, properties (sensitivity and Q-factor of resonant peak) of holey waveguide are investigated in one-, two- and three-dimensional simulation. It is shown here, that even this simple structure may compete with complex photonic crystals in the field of biosensors. Powered by TCPDF (www.tcpdf.org)
|
|
|
Modelling of photonic structures using Finite-difference time-domain method
Procházka, Pavel ; Kalousek, Radek (referee) ; Petráček, Jiří (advisor)
This bachelor thesis is focused on the basic description of the finite-difference time-domain method (FDTD) which serves to the numerical solution of Maxwell's equations. FDTD is very used today because during one calculation it is possible to obtain results in wide frequency spectrum. The thesis contains deduction of \mbox{equations} for description of this method and algorithm of calculation. The main goals of this thesis are the identification of the free Meep software, which is constructed for this calculations, and understanding of its properties. Most of Meep functions are described on three examples in the second part of bachelor thesis.
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