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Optical phonons in revisited
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10.1063/1.2757014
/content/aip/journal/jap/102/3/10.1063/1.2757014
http://aip.metastore.ingenta.com/content/aip/journal/jap/102/3/10.1063/1.2757014

Figures

Image of FIG. 1.
FIG. 1.

Fits of the factorized model [using Eq. (5)] (lines) to the published (Ref. 15) reflectance spectra (points) of InP and InAs. All of the parameters, whose resultant values are shown in the figure, were allowed to vary in the fits.

Image of FIG. 2.
FIG. 2.

Fits of the factorized model [using Eq. (5)] (lines) to the reflectance spectra (points) of taken from Ref. 15. All of the phonon parameters were allowed to vary in the fits, but was fixed for each As fraction; the resulting parameter values are given in Table I. Each tick mark on the vertical axis denotes the zero reflectance position for the corresponding reflectance spectrum.

Image of FIG. 3.
FIG. 3.

Concentration dependences of the optical mode frequencies determined from the fits to the actual (open circles) and the derivative (filled circles) of the room temperature reflectance spectra of taken from Ref. 15. The dashed and solid lines are fits of linear and linear plus quadratic equations, respectively, to the TO and LO frequency data obtained from fitting the derivative spectra. Also shown are the literature values (Ref. 9) for InP and InAs (open squares) and the theoretical predictions (Ref. 15) for the P in InAs local mode and the As in InP gap mode (open diamonds). Results obtained from fits to the spectra of Oswald (Ref. 14) are also shown for the InP-like mode for comparison (open triangles).

Image of FIG. 4.
FIG. 4.

Fits of the derivative of Eq. (5) to the derivative of the room temperature reflectance spectra of taken from Ref. 15. Each tick mark on the vertical axis denotes the position for the corresponding reflectance spectrum.

Image of FIG. 5.
FIG. 5.

The modified reflectance determined from the analysis of the room temperature reflectance spectra of , as reported in Ref. 15. Each tick mark on the vertical axis denotes the position for the corresponding reflectance spectrum.

Image of FIG. 6.
FIG. 6.

The phase contribution calculated from (shown for each As concentration in Fig. 5) using Eq. (14).

Image of FIG. 7.
FIG. 7.

The TO mode spectra deduced from the Kramers-Kronig analysis of the room temperature reflectance spectra of taken from Ref. 15.

Image of FIG. 8.
FIG. 8.

The LO mode spectra deduced from the Kramers-Kronig analysis of the room temperature reflectance spectra of taken from Ref. 15.

Image of FIG. 9.
FIG. 9.

Concentration dependences of the optical mode frequencies (filled circles) of determined from the fits to the room temperature reflectance spectra of shown in Figs. 7 and 8. The dashed and solid lines are fits of linear and linear plus quadratic equations, respectively, to the TO and LO frequency data. Also shown are the literature values (Ref. 9) for InP and InAs (open squares) and the theoretical predictions (Ref. 15) for the P in InAs local mode and the As in InP gap mode (open diamonds).

Image of FIG. 10.
FIG. 10.

Concentration dependences of the oscillator strengths of the InAs-like and InP-like TO (open points and solid lines) and LO (solid points and dashed lines) modes of . The lines are best linear fits to the respective data sets with the strengths fixed at zero in the appropriate (for the InAs-like modes) or (for the InP-like modes) limit. The LO mode oscillator strengths have been multiplied by 100.

Image of FIG. 11.
FIG. 11.

Comparison of the calculated (solid line) and measured reflectivity (solid points) of InP (Ref. 14), where the parameters for InP in the factorized model [Eq. (5)] are fixed at the values given in Ref. 9. Also shown is a fit to the measured spectrum obtained by varying the TO and LO phonon damping parameters (dashed line).

Image of FIG. 12.
FIG. 12.

(a) Fits of Eq. (5) to the derivative of the room temperature reflectance spectra of taken from Ref. 14. Only one InP-like mode is included in these fits. (b) Fits including a “disorder” mode as well as the InP-like mode.

Tables

Generic image for table
Table I.

Results of fits of Eq. (5) to the room temperature reflectance spectra of taken from Ref. 15. Values for that are fixed in the fits are linearly interpolated between those of InP and InAs.

Generic image for table
Table II.

Results of fits of Eq. (5) to the derivative of the room temperature reflectance spectra of taken from Ref. 15. Values for that are fixed in the fits are linearly interpolated between those of InP and InAs.

Generic image for table
Table III.

Results of fitting a classical oscillator model [Eq. (15)] to the TO modes obtained from the Kramers-Kronig analysis (Fig. 7).

Generic image for table
Table IV.

Results of fitting a classical oscillator model [Eq. (15)] to the LO modes obtained from the Kramers-Kronig analysis (Fig. 8).

Generic image for table
Table V.

Results of fits of Eq. (5) to the derivative of the room temperature reflectance spectra of taken from Oswald (Ref. 14). Values for that are fixed in the fits are linearly interpolated between those of InP and InAs.

Generic image for table
Table VI.

Results of fits of Eq. (5) including two modes to the derivative of the room temperature reflectance spectra of taken from Oswald (Ref. 14). Values for that are fixed in the fits are linearly interpolated between those of InP and InAs. Values obtained by Oswald for the InP-like TO mode frequencies are given in parentheses.

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/content/aip/journal/jap/102/3/10.1063/1.2757014
2007-08-10
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Optical phonons in InP1−xAsx revisited
http://aip.metastore.ingenta.com/content/aip/journal/jap/102/3/10.1063/1.2757014
10.1063/1.2757014
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