15,528 research outputs found
Dielectric-waveguide mode of light propagation in p-n junctions
The condition for coherent laser emission from forward-biased p-n junctions [1-3] can be written as [4] [equation 1]...
In order for the reported values [1-3] of Ic/A to agree with Eq. (1), must must use values pf d ~50 μ [4]. The question arises as to the nature of the mechanism which could confine the light generated near the junction to such small distances
Dynamics of the symmetric eigenvalue problem with shift strategies
A common algorithm for the computation of eigenvalues of real symmetric
tridiagonal matrices is the iteration of certain special maps called
shifted steps. Such maps preserve spectrum and a natural common domain is
, the manifold of real symmetric tridiagonal matrices
conjugate to the diagonal matrix . More precisely, a (generic) shift
s \in \RR defines a map . A
strategy \sigma: {\cal T}_\Lambda \to \RR specifies the shift to be applied
at so that . Good shift strategies should
lead to fast deflation: some off-diagonal coordinate tends to zero, allowing
for reducing of the problem to submatrices. For topological reasons, continuous
shift strategies do not obtain fast deflation; many standard strategies are
indeed discontinuous. Practical implementation only gives rise systematically
to bottom deflation, convergence to zero of the lowest off-diagonal entry
. For most shift strategies, convergence to zero of is cubic,
for . The existence of arithmetic
progressions in the spectrum of sometimes implies instead quadratic
convergence, . The complete integrability of the Toda lattice and the
dynamics at non-smooth points are central to our discussion. The text does not
assume knowledge of numerical linear algebra.Comment: 22 pages, 4 figures. This preprint borrows heavily from the
unpublished preprint arXiv:0912.3376 but is adapted for a different audienc
Phonon-assisted and phonon-free radiative transitions in sulfur-doped GaAs diffused junctions
In the course of electroluminescence studies of GaAs junctions we investigated the emission spectra of sulfur-doped zinc-diffused diodes. The peaks in the spectra correspond to three main transitions and their associated phonon emission satellites
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