Spatio-Temporal Finite-Element Propagator for Ultrashort Optical Pulses

Bravo-Roger, L.L.; Nóbrega, K.Z.; Hernández-Figueroa, H.E.; Lopez-Barbero, A.P.

doi:10.1109/lpt.2003.818949

Cited by 8 publications

(8 citation statements)

References 8 publications

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“…The techniques were very useful for short optical pulse durations, but failed to model ultra short pulses because of the paraxial approximation involved. Recently, a new technique based on the same principle managed to develop a finite-element method to model short pulses [14]. The method uses Pade recurrence approximation after the negligence of a few operator derivatives.…”

Section: Introductionmentioning

confidence: 99%

A noveltime‐domain technique for nonparaxial ultra short optical pulses

Masoudi

2007

Micro & Optical Tech Letters

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A novel nonparaxial technique based on Pade approximant for modeling ultra short optical pulses has been discussed and verified. The characterization of the technique shows excellent performance in terms of accuracy, efficiency, and stability where the traditional paraxial time‐domain beam propagation method failed to achieve. The new method is very useful and efficient for modeling long optical pulse interaction when compared to the classical finite‐difference time‐domain. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2481–2486, 2007; Published online in Wiley InterScience (www.interscience.wiley.com) DOI 10.1002/mop.22796

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Section: Introductionmentioning

confidence: 99%

A noveltime‐domain technique for nonparaxial ultra short optical pulses

Masoudi

2007

Micro & Optical Tech Letters

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“…Starting from Maxwell equations, the double curl Helmholtz equation is applied for the electric field, E , and assuming that the media and fields vary very slowly along the propagation coordinate [3]. Assuming still, cylindrical structures where there is no variation in the coordinate ( z being the propagation coordinate and.…”

Section: Methods Solutionmentioning

confidence: 99%

“…(2) the transformation = t -z -1 g [1], [3] where is the relative time and g is the wave package's group velocity, the final wave equation is written…”

Section: Methods Solutionmentioning

confidence: 99%

“…In addition, the finite element-method in conjunction with the beam propagation method permits the analysis of long waveguides and the use nonstructured meshes. Recently, various BPM formulations were published in the literatures [1]- [2] and Bravo-Roger et al published a BPM formulation based on the finite element method [3]. In this publication, the authors used the Padé approximation, and in consequence developed a highly efficient wide-angle-band (WAB) FE-WPM scheme.…”

Section: Introductionmentioning

confidence: 99%

“…In this publication, the authors used the Padé approximation, and in consequence developed a highly efficient wide-angle-band (WAB) FE-WPM scheme. In this paper, the formulation presented in [3] is modified and a new and efficient spatio-temporal formulation based on the 2D finite element method is applied to simulate optical devices with cylindrical symmetry.…”

Section: Introductionmentioning

confidence: 99%

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A new spatio-temporal 2D-FEM formulation applied to optical devices with cylindrical symmetry

Bravo-Roger¹,

Silva²,

Nóbrega³

et al.

SBMO/IEEE MTT-S International Conference on Microwave and Optoelectronics, 2005.

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Superior Center of Technological Education 1,2 , Unicamp, Limeira/SP leobravo@ceset.unicamp.br and patroc@ceset.unicamp.br, P.O. 13484-370, Brazil, Federal Center of Technological Teaching 3 , São Luis/ MA, bzuza@dee.cefet-ma.br, P.O. 6506-500, Brazil, Fluminense Federal University 4 , Niteroi/RJ pablo@telecom.uff.br, , P.O. 24210-220, , Brazil, University of Campinas (Unicamp) 1,2,5 , Campinas/SP, P.O. 13083-970, hugo@dmo.fee.unicamp.br, Brazil. Abstract -A new and efficient spatio-temporal formulation based on the finite element method 2D is applied to simulate optical devices with cylindrical symmetry. One spatial coordinate r, radial component, and one temporal coordinate , transversal component, constitute the discretization domain. The propagation occurs along zdirection, being incremented by Crank-Nicholson scheme. The finite-element in conjunction with Galerkn's method it's been applied to discretizate the transversal domain and perfect matched layers (PML's) are placed to truncate the transversal boundaries. Index Terms -Beam-propagation method (BPM), Finiteelement method, optical divices, spatio-temporal, perfect matched layers.

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Quantum mechanical modeling and validation of photoconductive switches for RF and antenna applications

Zanella

Nóbrega

Dartora

et al. 2019

Micro & Optical Tech Letters

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Photoconductive switches have been recently exploited as a promising replacement to active RF switches in reconfigurable antennas, since they provide unique properties, such as the absence of bias circuits, fast switching time, thermal stability, and easy integration with optical backhauls and fronthauls. Although lumped element models already exist, an accurate mathematical approach based on the physical background behind the switch operation is still lacking. We bestow a mathematical model based on quantum mechanics to analyze the photoconductive switches behavior, aiming to enhance the performance of photonics‐based RF devices and optically controlled reconfigurable antennas. The theoretical analysis has been properly validated by comparisons with experimental results of the photoconductive switch characterization at microwaves frequency range.

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Spatio-Temporal Finite-Element Propagator for Ultrashort Optical Pulses

Cited by 8 publications

References 8 publications

A noveltime‐domain technique for nonparaxial ultra short optical pulses

A noveltime‐domain technique for nonparaxial ultra short optical pulses

A new spatio-temporal 2D-FEM formulation applied to optical devices with cylindrical symmetry

Quantum mechanical modeling and validation of photoconductive switches for RF and antenna applications

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