Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers

Henneking, Stefan; Grosek, Jacob; Demkowicz, Leszek

doi:10.1016/j.camwa.2021.01.006

Cited by 9 publications

(4 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Some examples of 3D applications that have been implemented in ℎ𝑝3D include modeling of acoustic wave propagation in the human head (Gatto, 2012), modeling of electromagnetic waves with thermal effects in the human head (Kim, 2013), electromagnetic and acoustic scattering and high-frequency beams (Petrides, 2019;Petrides & Demkowicz, 2021), modeling of insulators in high-energy density electric motors (thermo-viscoelasticity) (Fuentes et al, 2017), and modeling of optical amplifiers (nonlinear Maxwell equations coupled with the heat equation) (Henneking et al, , 2021Nagaraj et al, 2019).…”

Section: Examples Of Applicationsmentioning

confidence: 99%

hp\mathrm{3D}: A Scalable MPI/OpenMP hp-Adaptive Finite Element Software Library for Complex Multiphysics Applications

Henneking,

Petrides,

Fuentes

et al. 2024

JOSS

Self Cite

View full text Add to dashboard Cite

The ℎ𝑝3D finite element (FE) library is a tool for computational modeling of engineering applications. The library provides a framework for discretization of three-dimensional 1 multiphysics problems described by systems of partial differential equations. ℎ𝑝3D can be compiled in real or complex mode to accommodate the need for real-or complex-valued physics variables, respectively. The library is written entirely in Fortran; user applications interfacing with the library are also written in Fortran. The ℎ𝑝3D software can be installed and runs efficiently on various CPU-based compute architectures, from laptops and single workstations to state-of-the-art supercomputers.

show abstract

Section: Examples Of Applicationsmentioning

confidence: 99%

hp\mathrm{3D}: A Scalable MPI/OpenMP hp-Adaptive Finite Element Software Library for Complex Multiphysics Applications

Henneking,

Petrides,

Fuentes

et al. 2024

JOSS

Self Cite

View full text Add to dashboard Cite

show abstract

“…hp3D has been used to study such nonlinear effects (e.g. the interplay between the propagating electromagnetic fields and thermal effects) for active gain fiber amplifiers based on a finite element model of the time-harmonic Maxwell equations coupled with the heat equation [22,28]. An implementation of this application is available in the problems/LASER/ directory.…”

Section: B1 Optical Fiber Amplifiermentioning

confidence: 99%

hp3D User Manual

Henneking¹,

Demkowicz²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

“…Предложено устойчивое к изгибам одномодовое волокно с большой площадью моды и низкими потерями на изгибе [1]; дан анализ многожильного маломодового волокна с составным профилем показателя преломления и двойной вспомогательной структурой [2]; смоделирована и вычислена уникальная трехмерная прерывистая конечно-элементная модель Петрова -Галеркина для моделирования лазерного усиления в волоконном усилителе [3]; предложены оптоволоконные датчики, основанные на френелевском отражении на конце волокна [4]. Усовершенствован и модифицирован метод расширенной тангенс-функции (применяется для получения оптических солитонов для двухъядерных ответвителей кубической четверти (CQ) в оптических метаматериалах, имеющих секстический степенной закон Кудряшова с произвольным показателем преломления) [5]; рассмотрены ребристые волноводы, в которых направляющий слой в основном состоит из пластины с наложенной на нее одной или несколькими полосами [6]; исследованы сегментированные волноводы (такие волноводы могут периодически изменять свое поперечное сечение, обеспечивая передачу света без потерь через так называемые блоховские моды) [7].…”

Section: Introductionunclassified

“…Решать уравнение будем аналогично методу ВКБ (Вентцеля -Крамерса -Бриллюэна) 3 (современное изложение в [23]).…”

unclassified

Investigation of Field and Energy in a Weakly-Conducting Optical Fiber with an Arbitrary Degree of Refractive Index Profile

Gladkikh

Vlasenko

2022

Engineering Technologies and Systems

View full text Add to dashboard Cite

Introduction. We consider a weakly conductive gradient fiber in the single-mode regime and solve the equation for the electric field in the core of this fiber in a general form in the first approximation. The aim of this study is to study the field and energy in the core of a weakly conductive gradient fiber without taking into account the polarization in the single-mode regime in the case of a power-law (generally) refractive index profile. Materials and Methods. From Maxwell’s equations for dielectric media, there was derived an equation for the field in a fiber with gradient refractive index profile. Making the appropriate substitutions, replacing the zero-order Bessel function with a Gaussian function, and making the necessary approximation of the resulting equation, we arrive at an equation that we solve by the Wentzel – Kramers – Brillouin method and obtain analytical expressions for the field and energy inside waveguide for an arbitrary degree of the refractive index. Results. There was obtained a solution of the equation for the field in fiber with a powerlaw refractive index profile. Numerical calculations were carried out. A graph of the dependence of a dimensionless quantity – “normalized” energy – on the waveguide parameter for the first five powers of the profile (n = 1, 2, 3, 4, 5) was plotted. Discussion and Conclusion. It is shown that the energy increases faster for the profile with n = 1, and after this value, the energy for the profile with n = 1 increases sharply, and for n > 1, the energy growth decreases with increasing n. The results obtained in this work can be used for creating an energy-efficient core, for carrying out a possible analysis of information transmission, and for designing waveguides taking into account specific applications.

show abstract

Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers

Cited by 9 publications

References 31 publications

hp\mathrm{3D}: A Scalable MPI/OpenMP hp-Adaptive Finite Element Software Library for Complex Multiphysics Applications

hp\mathrm{3D}: A Scalable MPI/OpenMP hp-Adaptive Finite Element Software Library for Complex Multiphysics Applications

hp3D User Manual

Investigation of Field and Energy in a Weakly-Conducting Optical Fiber with an Arbitrary Degree of Refractive Index Profile

Contact Info

Product

Resources

About