Reflecting Boundary

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L J Mawst - One of the best experts on this subject based on the ideXlab platform.

  • two dimensional antiguided vertical cavity surface emitting laser arrays with Reflecting Boundary
    IEEE Journal of Selected Topics in Quantum Electronics, 2013
    Co-Authors: A P Napartovich, N N Elkin, Dmitri V Vysotsky, Shuang Mao, J D Kirch, Xiaodong Wang, L J Mawst
    Abstract:

    Strong coupling between elements in 2-D resonant antiguided vertical cavity surface emitting laser (VCSEL) arrays results in a good ability to select the in-phase array mode. This ability can be enhanced by proper tailoring of the gain/loss spatial distributions and elimination of lateral radiation loss. To evaluate quantitatively an impact of these means on single-mode stability, numerical simulations are performed for the resonant antiguided VCSEL arrays. A bidirectional beam propagation method was implemented for solving the wave equation in a 3-D scalar diffraction approximation to describe the VCSEL array with Reflecting outer boundaries. This structure is composed of distributed Bragg reflectors, active layer, and a thin absorption spacer separated from the active layer. Openings in the top metal electrode pattern the output facet. The above threshold oscillating wave field distribution was calculated. The transverse gain and index distributions were calculated in each quantum well by the 2-D carrier diffusion equation. Stability of single-mode operation against the lasing onset of higher order modes was studied numerically. A parabolic temperature profile was used to imitate thermal focusing. The maximum output power 90 mW for a 5 × 5 array and up to 350 mW for a 10 × 10 array is predicted in the single-mode regime.

  • two dimensional antiguided vertical cavity surface emitting laser arrays with Reflecting Boundary
    International Semiconductor Laser Conference, 2012
    Co-Authors: A P Napartovich, N N Elkin, Dmitri V Vysotsky, Shuang Mao, J D Kirch, Xiaodong Wang, L J Mawst
    Abstract:

    Antiguided VCSEL arrays are evaluated using an above threshold analysis. Single-mode output power is enhanced by including reflective boundaries at the array edges, and CW single-mode operation of 100mW is predicted from 5×5 2D arrays.

Martin Grothaus - One of the best experts on this subject based on the ideXlab platform.

  • construction and strong feller property of distorted elliptic diffusion with Reflecting Boundary
    Potential Analysis, 2014
    Co-Authors: Benedict Baur, Martin Grothaus
    Abstract:

    Using Dirichlet form techniques we prove existence of a diffusion process with singular drift on an open domain Ω ⊂ ℝ d , d ∈ ℕ, d ≥ 2, and generalized reflection at the Boundary. The Boundary is assumed to be C 2-smooth except for a sufficiently small set. We prove an elliptic regularity result which gives L p -strong Feller property for the semigroup and resolvent for p ≥ 2 with $p > \frac{d}{2}$ . This result allows us to construct the process pointwisely except for an explicitly known set. For starting points outside this known set the process solves the corresponding martingale problem. The results are applied to prove the existence of the stochastic dynamics of a finite interacting particle system and for the Ginzburg-Landau interface model with a hard wall.

  • strong feller properties for distorted brownian motion with Reflecting Boundary condition and an application to continuous n particle systems with singular interactions
    Journal of Functional Analysis, 2007
    Co-Authors: Torben Fattler, Martin Grothaus
    Abstract:

    Abstract Assuming that Ω ⊂ R n , n ⩾ 2 , is an open, relatively compact set with Boundary ∂ Ω of Lebesgue measure zero we prove strong Feller properties for a class of distorted Brownian motions in Ω ¯ with Reflecting Boundary condition. Dirichlet form techniques give the existence of a weak solution to the corresponding stochastic differential equation for quasi all starting points in the sense of the associated martingale problem. Combining this result with the strong Feller properties we can construct a weak solution for specified starting points. If Ω has C 2 -Boundary the construction works for all starting points, where the drift term is not singular, even on the Boundary. But also for a certain class of sets with less smooth Boundary our approach works for all points in Ω , where the drift term is not singular, and at least some points from ∂ Ω . Our techniques allow very singular drift terms. This enables us to construct continuous N -particle gradient stochastic dynamics in cuboids Λ ⊂ R d , d ∈ N , with Reflecting Boundary condition and singular interactions for d N ⩾ 2 . We can start the stochastic dynamics in all initial configurations having at most one particle in ∂ Λ , provided ∂ Λ is locally smooth there.

A P Napartovich - One of the best experts on this subject based on the ideXlab platform.

  • two dimensional antiguided vertical cavity surface emitting laser arrays with Reflecting Boundary
    IEEE Journal of Selected Topics in Quantum Electronics, 2013
    Co-Authors: A P Napartovich, N N Elkin, Dmitri V Vysotsky, Shuang Mao, J D Kirch, Xiaodong Wang, L J Mawst
    Abstract:

    Strong coupling between elements in 2-D resonant antiguided vertical cavity surface emitting laser (VCSEL) arrays results in a good ability to select the in-phase array mode. This ability can be enhanced by proper tailoring of the gain/loss spatial distributions and elimination of lateral radiation loss. To evaluate quantitatively an impact of these means on single-mode stability, numerical simulations are performed for the resonant antiguided VCSEL arrays. A bidirectional beam propagation method was implemented for solving the wave equation in a 3-D scalar diffraction approximation to describe the VCSEL array with Reflecting outer boundaries. This structure is composed of distributed Bragg reflectors, active layer, and a thin absorption spacer separated from the active layer. Openings in the top metal electrode pattern the output facet. The above threshold oscillating wave field distribution was calculated. The transverse gain and index distributions were calculated in each quantum well by the 2-D carrier diffusion equation. Stability of single-mode operation against the lasing onset of higher order modes was studied numerically. A parabolic temperature profile was used to imitate thermal focusing. The maximum output power 90 mW for a 5 × 5 array and up to 350 mW for a 10 × 10 array is predicted in the single-mode regime.

  • two dimensional antiguided vertical cavity surface emitting laser arrays with Reflecting Boundary
    International Semiconductor Laser Conference, 2012
    Co-Authors: A P Napartovich, N N Elkin, Dmitri V Vysotsky, Shuang Mao, J D Kirch, Xiaodong Wang, L J Mawst
    Abstract:

    Antiguided VCSEL arrays are evaluated using an above threshold analysis. Single-mode output power is enhanced by including reflective boundaries at the array edges, and CW single-mode operation of 100mW is predicted from 5×5 2D arrays.

Jose Real - One of the best experts on this subject based on the ideXlab platform.

Shuang Mao - One of the best experts on this subject based on the ideXlab platform.

  • two dimensional antiguided vertical cavity surface emitting laser arrays with Reflecting Boundary
    IEEE Journal of Selected Topics in Quantum Electronics, 2013
    Co-Authors: A P Napartovich, N N Elkin, Dmitri V Vysotsky, Shuang Mao, J D Kirch, Xiaodong Wang, L J Mawst
    Abstract:

    Strong coupling between elements in 2-D resonant antiguided vertical cavity surface emitting laser (VCSEL) arrays results in a good ability to select the in-phase array mode. This ability can be enhanced by proper tailoring of the gain/loss spatial distributions and elimination of lateral radiation loss. To evaluate quantitatively an impact of these means on single-mode stability, numerical simulations are performed for the resonant antiguided VCSEL arrays. A bidirectional beam propagation method was implemented for solving the wave equation in a 3-D scalar diffraction approximation to describe the VCSEL array with Reflecting outer boundaries. This structure is composed of distributed Bragg reflectors, active layer, and a thin absorption spacer separated from the active layer. Openings in the top metal electrode pattern the output facet. The above threshold oscillating wave field distribution was calculated. The transverse gain and index distributions were calculated in each quantum well by the 2-D carrier diffusion equation. Stability of single-mode operation against the lasing onset of higher order modes was studied numerically. A parabolic temperature profile was used to imitate thermal focusing. The maximum output power 90 mW for a 5 × 5 array and up to 350 mW for a 10 × 10 array is predicted in the single-mode regime.

  • two dimensional antiguided vertical cavity surface emitting laser arrays with Reflecting Boundary
    International Semiconductor Laser Conference, 2012
    Co-Authors: A P Napartovich, N N Elkin, Dmitri V Vysotsky, Shuang Mao, J D Kirch, Xiaodong Wang, L J Mawst
    Abstract:

    Antiguided VCSEL arrays are evaluated using an above threshold analysis. Single-mode output power is enhanced by including reflective boundaries at the array edges, and CW single-mode operation of 100mW is predicted from 5×5 2D arrays.