INTRABAND MECHANISM OF THREE-PHOTON ABSORPTION OF POLARIZED RADIATION IN DIAMOND-LIKE SEMICONDUCTORS
At a Glance
Section titled âAt a Glanceâ| Metadata | Details |
|---|---|
| Publication Date | 2023-07-31 |
| Journal | Austrian Journal of Technical and Natural Sciences |
| Authors | Sharifa Bekmuratovna Utamuratova, Rasulov Voxob Rustamovich, Isomiddinova Umida Mamurjonova, Kodirov Nurllo Ubaidullo ogli |
| Institutions | Ferghana State University, Kokand State Pedagogical Institute named after Mukimi |
| Analysis | Full AI Review Included |
Technical Analysis and Documentation: Three-Photon Absorption in Diamond-Like Semiconductors
Section titled âTechnical Analysis and Documentation: Three-Photon Absorption in Diamond-Like SemiconductorsâExecutive Summary
Section titled âExecutive SummaryâThis documentation analyzes the theoretical study of three-photon absorption (3PA) and linear-circular dichroism (LCD) in cubic semiconductors, providing a direct pathway for applying these advanced nonlinear optical principles to 6CCVDâs high-purity MPCVD diamond materials.
- Core Achievement: Calculation of the polarization and frequency-polarization dependencies of 3PA and LCD coefficients in cubic semiconductors (InSb, GaAs) using the multiband Kane model.
- Mechanism Studied: Vertical three-photon optical transitions between the spin-orbit splitting band and the conduction band.
- Key Finding: LCD exhibits multiple extrema and strong dependence on the type of virtual states involved, demonstrating complex nonlinear polarization effects.
- Material Relevance: While the paper focuses on narrow-gap materials, the theoretical framework is directly applicable to diamond, the ultimate wide-bandgap, cubic-symmetry semiconductor.
- 6CCVD Value Proposition: MPCVD Single Crystal Diamond (SCD) provides the ideal platform (Eg ~ 5.5 eV) to extend this research into the high-power UV/XUV regime, enabling next-generation nonlinear optical devices.
- Customization: 6CCVD offers the high-purity, low-roughness SCD wafers and custom metalization required for advanced optical and electro-optical testing of these phenomena.
Technical Specifications
Section titled âTechnical SpecificationsâThe research is theoretical, calculating coefficients based on established material parameters for InSb and GaAs. The table below summarizes the key parameters and calculated outputs.
| Parameter | Value | Unit | Context |
|---|---|---|---|
| Studied Crystal Symmetry | Cubic | N/A | Required for analysis of linear-circular dichroism |
| Theoretical Model Used | Multiband Kane Approach | N/A | Required for narrow-gap crystals (6x6 or 8x8 matrices) |
| Absorption Order | Three-Photon (3PA) | N/A | Nonlinear optical transition mechanism |
| Calculated Coefficient | K(3) (Ï, α = ÎČ) | arb. unite | Three-photon light absorption coefficient |
| Normalized Energy Range | 3ħÏ/Eg | N/A | Calculated up to 2.0 (e.g., 1.5, 2.0) |
| Polarization Analysis | Linear-Circular Dichroism (LCD) | N/A | Ratio of transition probabilities for linear vs. circular light |
| Transition Type Analyzed | SO,±1/2>â | c,±1/2> | |
| Reference Materials | InSb, GaAs | N/A | Used for quantitative calculation of band parameters (Ref. [13]) |
Key Methodologies
Section titled âKey MethodologiesâThe study relies entirely on advanced theoretical physics and quantum mechanics to model the nonlinear optical response of cubic semiconductors.
- Band Structure Modeling: The multiband Kane model was employed, necessary for accurately describing the nonparabolic energy spectra and complex valence band structure of narrow-gap semiconductors.
- Transition Analysis: Calculation focused on vertical three-photon optical transitions between the spin-orbit splitting subband and the conduction band.
- Quantum Calculation: The golden rule of quantum mechanics was applied to determine the matrix elements and probabilities of the three-photon transitions.
- Dichroism Calculation: The linear-circular dichroism (LCD) coefficient was calculated as the ratio of transition probabilities occurring upon absorption of light with linear versus circular polarization.
- Polarization Dependence: Calculations analyzed the dependence of K(3) and LCD on the polarization angle (α, ÎČ) between the photon wave vector and the current carrier wave vector (k).
6CCVD Solutions & Capabilities
Section titled â6CCVD Solutions & CapabilitiesâThe theoretical findings regarding 3PA and LCD in cubic semiconductors lay the groundwork for experimental verification and application in wide-bandgap materials. 6CCVDâs MPCVD diamond is the optimal material to advance this research due to its superior wide bandgap, high thermal conductivity, and perfect cubic symmetry.
Applicable Materials
Section titled âApplicable Materialsâ| Research Requirement | 6CCVD Material Recommendation | Rationale and Technical Advantage |
|---|---|---|
| Wide Bandgap Platform | Optical Grade Single Crystal Diamond (SCD) | SCD (Eg ~ 5.5 eV) is the ideal âdiamond-like semiconductorâ for extending 3PA studies into the high-energy UV/XUV regime, where narrow-gap materials fail. High purity ensures minimal linear absorption. |
| Electro-Optical Integration | Boron-Doped Diamond (BDD) | For experiments requiring carrier injection or electric field modulation (e.g., studying the effect of carrier energy differences on LCD), BDD offers tunable conductivity from semi-insulating to metallic. |
| Large-Area Optical Components | Polycrystalline Diamond (PCD) | Available in plates/wafers up to 125mm, suitable for large-scale optical setups or high-power beam steering applications where 3PA must be minimized or controlled. |
Customization Potential
Section titled âCustomization PotentialâTo replicate or extend the complex nonlinear optical experiments suggested by this research, precise material engineering is essential. 6CCVD offers comprehensive customization capabilities:
- Custom Dimensions: We supply SCD and PCD plates/wafers in custom sizes up to 125mm, with thicknesses ranging from 0.1”m to 500”m (up to 10mm for substrates).
- Surface Quality: Critical for nonlinear optics, our SCD wafers achieve ultra-low surface roughness (Ra < 1nm), minimizing scattering and maximizing laser damage threshold. Inch-size PCD achieves Ra < 5nm.
- Metalization Services: We offer in-house deposition of standard and custom metal stacks (Au, Pt, Pd, Ti, W, Cu). This is crucial for creating precise electrodes required for applying electric fields to study polarization-dependent phenomena in electro-optic devices.
- Orientation Control: SCD wafers can be supplied with specific crystallographic orientations (e.g., [100], [110]) to precisely align with the polarization vectors (α, ÎČ) analyzed in the theoretical model.
Engineering Support
Section titled âEngineering Supportâ6CCVD is not just a supplier; we are a technical partner. The complexity of multiphoton absorption and dichroism requires expert material selection.
- Consultation: Our in-house PhD engineering team specializes in the material science of wide-bandgap semiconductors and can assist researchers in selecting the optimal diamond grade (SCD purity, BDD doping level, surface finish) required for nonlinear optical spectroscopy projects.
- Recipe Optimization: We provide support for integrating diamond materials into high-power laser systems, ensuring the material specifications meet the demands of high-intensity, polarized radiation experiments.
For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.
View Original Abstract
The polarization and frequency-polarization dependences of the linear-circular dichroism and light absorption coefficients in semiconductors of cubic symmetry, caused by vertical three-photon optical transitions between the states of the spin-orbit splitting and conduction bands, are calculated.