Optical properties of Wurtzite-type semiconducting crystals near the isotropic point

Schillak, P.; Czajkowski, G.

doi:10.1007/bf02462343

Cited by 5 publications

(7 citation statements)

References 25 publications

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“…Their dependence on the coupling 72 can be easily seen from the formulae giving in a first approximation the transmittivities in both directions near an isotropic point [2,11,13]:…”

Section: ~M : Iomb/moxflb -~ Iomb/ioy • B Iomb = Iox • B : Ioylibmentioning

confidence: 99%

“…As is known, optical susceptibility of the crystal depends on the polarization of the propagating wave. A wave with a frequency corresponding to energies below the fundamental gap and [12,13,15,16]. In what follows we concentrate on the bulk interband waves in the low excitation regime.…”

Section: -Higher Isotropic Points In Cdsmentioning

confidence: 99%

“…The method given in paper [13] enables to calculate the transmittivities for a normally incident wave of arbitrary polarization. In the examples presented below we choose the incident wave as being linearly polarized perpendicular to the c-axis.…”

Section: ~M : Iomb/moxflb -~ Iomb/ioy • B Iomb = Iox • B : Ioylibmentioning

confidence: 99%

“…3. The calculations were performed by the method described in the paper [13]. A linearly polarized incidental electromagnetic wave…”

Section: C~2-r~ + A2+a2)+weh~(r)]y~ru Rz + (Rz)=m~(r)e(z)mentioning

confidence: 99%

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Transmission spectra of thin CdS and CdSe crystals near higher-order isotropic points

Czajkowski

Schillak

1994

Nuov Cim D

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(ricevuto il 12 Lugiio 1993; revisionato il 29 Gennaio 1994; approvato il 12 Febbraio 1994) Summary. --For photon energies below the absorption edge in CdS, CdSe and other II-VI crystals the polariton dispersion curves for E • c and E II c (c-axis in a wurtzite crystal) cross at some points called isotropic points (IP). The occurrence of isotropic points provides the possibility of mode coupling between ordinary and extraordinary waves. Since the consequences of mode coupling on the optical properties for photon energies near the lowest IP lying much below the f'u'st excitonic state were widely discussed in recent years, more attention is now paid to isotropic points lying near the band gap and related to the n = 2, 3, ... excitonic states (,,higher isotropic points,0. Making use of Stahrs real density matrix approach we derive the polariton dispersion relations k• (~o), and kl, (oJ), for CdS and CdSe bulk crystals and determine the positions of IP's due to the crossing of the B-polariton with higher A-excitonie resonances. By the method of multiple internal reflection we calculate the transmission spectra for various crystal thicknesses (between 3 ~m and 0.5 mm) and coupling mechanisms. The calculated transmission shows sharply peaked structures centred at the isotropic points. PACS 71.35 -Excitons and related phenomena (including electron-hole drops). PACS 71.36 -Polaritons (including photon-photon and photon-magnon interactions). PACS 78.20 -Optical properties of bulk materials.

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“…Their dependence on the coupling 72 can be easily seen from the formulae giving in a first approximation the transmittivities in both directions near an isotropic point [2,11,13]:…”

Section: ~M : Iomb/moxflb -~ Iomb/ioy • B Iomb = Iox • B : Ioylibmentioning

confidence: 99%

Section: -Higher Isotropic Points In Cdsmentioning

confidence: 99%

Section: ~M : Iomb/moxflb -~ Iomb/ioy • B Iomb = Iox • B : Ioylibmentioning

confidence: 99%

“…3. The calculations were performed by the method described in the paper [13]. A linearly polarized incidental electromagnetic wave…”

Section: C~2-r~ + A2+a2)+weh~(r)]y~ru Rz + (Rz)=m~(r)e(z)mentioning

confidence: 99%

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Transmission spectra of thin CdS and CdSe crystals near higher-order isotropic points

Czajkowski

Schillak

1994

Nuov Cim D

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“…Similar problems were discussed for II-VI compounds when the optical properties near the isotropic point were computed (see, for example, refs. [37][38][39]). Table 1.…”

Section: Tm Polarizationmentioning

confidence: 99%

Optical properties of Quantum Disks: Real density matrix approach

Czajkowski¹,

Silvestri

2006

Open Physics

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Abstract:We show how to compute the optical response of a Quantum Disk (QDisk) to an electromagnetic wave as a function of the incident wave polarization, in the energetic region of interband transitions. Both the TM and TE polarization in guided-wave geometry are analyzed. The method uses the microscopic calculation of Quantum Disk eigenfunctions and the macroscopic real density matrix approach to compute the effective QDisk susceptibility, taking into account the valence band structure of the QDisk material and the Coulomb interaction between the electron and the hole. Analytical expressions for the QDisk susceptibility are obtained for a certain model electron -hole potential. Using these expressions, all optical functions can be computed. Results for the absorption coefficient are computed for InAs/GaAs QDisks. Fair agreement with experiments is obtained.

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Multiphoton Polariton Spectroscopy on ZnO

Fiebig

Fröhlich

Pahlke-Lerch

1993

Physica Status Solidi (b)

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DiNerent nonlinear techniques are applied to investigate excitonic transitions from the upper valence bands (symmetry I-,, T9, r,) to the lowest conduction band (symmetry r7) in ZnO. Coherent techniques like three-photon difference frequency generation are used for resonances on the lower polariton branch, whereas incoherent techniques are well suited for the investigation on the upper polariton branch. Paraexcitons are detected without external perturbation. The angular dependence of the longitudinal transverse splitting is investigated by excitation of mixed-mode polaritons and analyzed with use of a suitable ansatz for the dielectric tensor in the classical wave equation. The isotropic point at 3.157 CV is studied by non-resonant second harmonic generation. Verschiedene nichtlineare Techniken werden angewandt, urn exzitonische Anregungen von den oberen Valenzbandern (Syrnmetrie r,, T9, r,) in das unterste Leitungsband (Symmetrie r,) in ZnO zu untersuchen. Koharente Techniken wie die Drei-Photonen-Differenzfrequenzerzeugung werden benutzt, urn Resonanzen auf dem unteren Polaritonast anzuregen, wahrend inkohirente Techniken fur Untersuchungen auf den oberen Polaritonasten geeignet sind. Paraexzitonen konnen ohne HuDere Storungen nachgewiesen wcrden. AuDerordentliche Polaritonen werden angeregt. Die Winkelabhlngigkeit der Longitudinal-Transversal LAufspaltung wird bestimmt und anhand eines geeigneten Ansatzes fur den dielektrischen Tensor beschrieben. Der isotrope Punkt bei 3,157 eV wird mit nichtresonanter Erzeugung der zweiten Harmonischen vermessen. ') Otto-Hahn-Str./PSF 500500, W-4600 Dortmund, Federal Republic of Germany.

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Optical properties of Wurtzite-type semiconducting crystals near the isotropic point

Cited by 5 publications

References 25 publications

Transmission spectra of thin CdS and CdSe crystals near higher-order isotropic points

Transmission spectra of thin CdS and CdSe crystals near higher-order isotropic points

Optical properties of Quantum Disks: Real density matrix approach

Multiphoton Polariton Spectroscopy on ZnO

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