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Electromagnetic modeling of waveguide amplifier based on Nd3+ Si-rich SiO2 layers by means of the ADE-FDTD method.

Dufour C, Cardin J, Debieu O, Fafin A, Gourbilleau F - Nanoscale Res Lett (2011)

Bottom Line: The Finite Difference Time Domain (FDTD) scheme is used to solve the space and time dependent Maxwell equations which describe the electromagnetic field in a copropagating scheme of both pumping (λpump = 488 nm) and signal (λsignal = 1064 nm) waves.Such systems are characterized by extremely different specific times such as the period of electromagnetic field ~ 10-15 s and the lifetimes of the electronic levels between ~ 10-10s and ~ 10-4 s.A threshold value of 1024 Si-ng m-3 is extracted below which the pump wave can propagate so that a signal amplication is possible.

View Article: PubMed Central - HTML - PubMed

Affiliation: CIMAP, CEA/CNRS/ENSICAEN/UCBN, 6 Boulevard Maréchal Juin, 14050 Caen Cedex 4, France. christian.dufour@ensicaen.fr.

ABSTRACT
By means of ADE-FDTD method, this paper investigates the electromagnetic modelling of a rib-loaded waveguide composed of a Nd3+ doped Silicon Rich Silicon Oxide active layer sandwiched between a SiO2 bottom cladding and a SiO2 rib. The Auxilliary Differential Equations are the rate equations which govern the levels populations. The Finite Difference Time Domain (FDTD) scheme is used to solve the space and time dependent Maxwell equations which describe the electromagnetic field in a copropagating scheme of both pumping (λpump = 488 nm) and signal (λsignal = 1064 nm) waves. Such systems are characterized by extremely different specific times such as the period of electromagnetic field ~ 10-15 s and the lifetimes of the electronic levels between ~ 10-10s and ~ 10-4 s. The time scaling method is used in addition to specific initial conditions in order to decrease the computational time. We show maps of the Poynting vector along the propagation direction as a function of the silicon nanograin (Si-ng) concentrations. A threshold value of 1024 Si-ng m-3 is extracted below which the pump wave can propagate so that a signal amplication is possible.

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(yz) maps of  in W.m-2 for [Si-ng] = 1024 m-3, the dashed-dot rectangle represents the waveguide rib.
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Figure 4: (yz) maps of in W.m-2 for [Si-ng] = 1024 m-3, the dashed-dot rectangle represents the waveguide rib.

Mentions: Three Si-ng concentrations have been investigated (Nsi = 1025, 1024 and 1023 m-3 ). In the initial states, only the ground level is populated. The corresponding (xz) maps () are plotted in Figures 3, 4 and 5.


Electromagnetic modeling of waveguide amplifier based on Nd3+ Si-rich SiO2 layers by means of the ADE-FDTD method.

Dufour C, Cardin J, Debieu O, Fafin A, Gourbilleau F - Nanoscale Res Lett (2011)

(yz) maps of  in W.m-2 for [Si-ng] = 1024 m-3, the dashed-dot rectangle represents the waveguide rib.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3211342&req=5

Figure 4: (yz) maps of in W.m-2 for [Si-ng] = 1024 m-3, the dashed-dot rectangle represents the waveguide rib.
Mentions: Three Si-ng concentrations have been investigated (Nsi = 1025, 1024 and 1023 m-3 ). In the initial states, only the ground level is populated. The corresponding (xz) maps () are plotted in Figures 3, 4 and 5.

Bottom Line: The Finite Difference Time Domain (FDTD) scheme is used to solve the space and time dependent Maxwell equations which describe the electromagnetic field in a copropagating scheme of both pumping (λpump = 488 nm) and signal (λsignal = 1064 nm) waves.Such systems are characterized by extremely different specific times such as the period of electromagnetic field ~ 10-15 s and the lifetimes of the electronic levels between ~ 10-10s and ~ 10-4 s.A threshold value of 1024 Si-ng m-3 is extracted below which the pump wave can propagate so that a signal amplication is possible.

View Article: PubMed Central - HTML - PubMed

Affiliation: CIMAP, CEA/CNRS/ENSICAEN/UCBN, 6 Boulevard Maréchal Juin, 14050 Caen Cedex 4, France. christian.dufour@ensicaen.fr.

ABSTRACT
By means of ADE-FDTD method, this paper investigates the electromagnetic modelling of a rib-loaded waveguide composed of a Nd3+ doped Silicon Rich Silicon Oxide active layer sandwiched between a SiO2 bottom cladding and a SiO2 rib. The Auxilliary Differential Equations are the rate equations which govern the levels populations. The Finite Difference Time Domain (FDTD) scheme is used to solve the space and time dependent Maxwell equations which describe the electromagnetic field in a copropagating scheme of both pumping (λpump = 488 nm) and signal (λsignal = 1064 nm) waves. Such systems are characterized by extremely different specific times such as the period of electromagnetic field ~ 10-15 s and the lifetimes of the electronic levels between ~ 10-10s and ~ 10-4 s. The time scaling method is used in addition to specific initial conditions in order to decrease the computational time. We show maps of the Poynting vector along the propagation direction as a function of the silicon nanograin (Si-ng) concentrations. A threshold value of 1024 Si-ng m-3 is extracted below which the pump wave can propagate so that a signal amplication is possible.

No MeSH data available.


Related in: MedlinePlus