Accurate electron probe determination of aluminum composition in (Al, Ga)As and correlation with the photoluminescence peak

Miller, N.; Zemon, S.; Werber, George P.; Powazinik, W.

doi:10.1063/1.334784

Cited by 47 publications

(3 citation statements)

References 3 publications

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“…Casey and Panish 37 have reported the piecewise liner-quadratic relationship at composition x below or above -0.45. Linear dependence of Eo on x in me limited composition range (0<x<0.45) has also been reported by Oelgart et al 42 The negative value of c has been found only by Miller et al 40 We plot in Fig. 7.8 the room-temperature E 0 energy versus x data taken from Refs.…”

Section: K(w) W(w) Uasupporting

confidence: 77%

Energy-Band Structure: Energy-Band Gaps of Bulk Materials

Adachi¹

1994

GaAs and Related Materials

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The wave function TCr) of the electrons in the crystal lattice is expressed by the well-known Bloch's theorem:where the function U k (r) has the period of the crystal lattice such mat U k (r)=U k (r+T) (here T is any vector of the Bravais lattice). The nearly free-electron approximation is a good standing point for discussing the energy band theory. It explains the origin of the band gap and that of the effective mass m* which is defined as the reciprocal of the curvature of E (energy) versus k (wavevector) diagram. The functional dependence of E on k for the various bands, E"(k), is defined by the Schrodinger equation:HT(r) = _EL + V(r) = E^r) (7.2) 2m* where p 2 /2m* is the kinetic energy (p=-ihV), V(r) is the potential energy, and E is the energy eigenvalue. Since the electrons in the crystal are influenced by the periodic potential, the electron mass m* used in Eq. (7.2) differs largely from the free electron mass m<, (see Chapter 8).The reciprocal space, also called phase space, k-space, and momentum space, is a convenient tool to describe the behavior of both vibrational states and electronic states. The coordinate axes of the reciprocal lattice are the wavevectors of the plane waves corresponding to the vibrational modes (Section 5.

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Section: K(w) W(w) Uasupporting

confidence: 77%

Energy-Band Structure: Energy-Band Gaps of Bulk Materials

Adachi¹

1994

GaAs and Related Materials

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“…This value was calculated by taking the mean and standard deviation of the bandgap energy reported in Refs. [13,[29][30][31][32][33][34][35][36][37][38]. From the bandgap value, the two-photon absorption edge is calculated as (1494 ± 18) nm, and the three-photon absorption edge as (2241 ± 27) nm.…”

Section: Resultsmentioning

confidence: 99%

Simultaneous measurements of the two-photon absorption coefficient and the free-carrier absorption cross-section in AlGaAs waveguides

Espinosa

Harrigan

Awan

et al. 2020

Frontiers in Optics / Laser Science

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Nonlinear absorption can limit the efficiency of nonlinear optical devices. However, it can also be exploited for optical limiting or switching applications. Thus, characterization of nonlinear absorption in photonic devices is imperative. This work used the nonlinear transmittance technique to measure the two-photon absorption coefficients ( 2 ) of AlGaAs waveguides in the strip-loaded, nanowire, and half-core geometries in the wavelength range from 1480 to 1560 nm. The highest 2 values of 2.4, 2.3, and 1.1 cm/GW were measured at 1480 nm for a 0.8-nm-wide half-core, 0.6-nm-wide nanowire, and 0.9-nm-wide strip-loaded waveguides, respectively, with 2 decreasing with increasing wavelength. The free-carrier absorption cross-section was also estimated from the nonlinear transmittance data to be around 2.2 × 10 −16 cm 2 for all three geometries. Our results contribute to a better understanding of the nonlinear absorption in heterostructure waveguides of different cross-sectional geometries. We discuss how the electric field distribution in the different layers of a heterostructure can lead to geometry-dependent effective two-photon absorption coefficients. More specifically, we pinpoint the third-order nonlinear confinement factor as a design parameter to estimate the strength of the effective nonlinear absorption, in addition to tailoring the bandgap energy by varying material composition.

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“…The determination of the AI mole fraction was accomplished by room temperature photoluminescence (PL) measurements. The PL spectra were taken using a relatively low intensity(:::::: 1W/cm 2 ) excitation by the 5145A line of an Argon ion laser, and Al mole fractions, x, were determined from the PL spectra peak energy, EP, using the relation Ep(eV) = 1.42+1.45x -0.25x 2 which has been shown to hold for 0 < x $ 0.45 and similar excitation conditions [8].…”

Section: 31mentioning

confidence: 99%