pith. sign in

arxiv: 2408.02469 · v1 · submitted 2024-08-05 · ❄️ cond-mat.mes-hall

Gain and Threshold Improvements of 1300 nm Lasers based on InGaAs/InAlGaAs Superlattice Active Regions

Pith reviewed 2026-05-23 22:06 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords 1300 nm lasersInGaAs/InAlGaAs superlatticeinternal optical losstransparency current densitymodal gaincharacteristic temperatureVCSELhigh-temperature operation
0
0 comments X

The pith

Superlattice active regions enable 1300 nm lasers with internal loss near 6 cm^{-1} and T0 of 76 K.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tests three InGaAs/InAlGaAs superlattice designs in 1300 nm broad-area lasers to measure their effect on loss, gain, efficiency, and temperature stability. A specific highly strained composition produces internal losses of about 6 cm^{-1}, transparency current density near 500 A/cm^{2}, modal gain of 46 cm^{-1}, and internal efficiency of 53 percent. The same devices reach characteristic temperatures T0 of 76 K and T1 of 100 K. These metrics improve because the superlattice lowers the miniband energy relative to thin quantum wells of matching composition. The results are presented as evidence that the approach can also raise performance in 1300 nm VCSELs.

Core claim

Broad-area lasers with a highly strained In_{0.74}Ga_{0.26}As/In_{0.53}Al_{0.25}Ga_{0.22}As superlattice active region show internal optical loss of approximately 6 cm^{-1}, transparency current density of roughly 500 A/cm^{2}, modal gain of 46 cm^{-1}, and internal quantum efficiency of 53 percent. Characteristic temperatures improve to T0 = 76 K and T1 = 100 K. The superlattice structure shifts the miniband downward in energy compared with thin InGaAs quantum wells of the same average composition, which supports better high-temperature behavior.

What carries the argument

The highly strained InGaAs/InAlGaAs superlattice active region, which lowers miniband energy to raise operating temperature range.

If this is right

  • Lower internal loss directly raises wall-plug efficiency at a given output power.
  • Reduced transparency current density lowers the lasing threshold for the same cavity length.
  • Higher T0 and T1 extend the temperature range over which threshold current and slope efficiency remain stable.
  • The measured modal gain and efficiency values indicate the design can be transferred to vertical-cavity devices.
  • Comparison among the three tested superlattice variants isolates the benefit of the highest-strain composition.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same miniband shift could be exploited to reduce the temperature sensitivity of other 1300 nm optoelectronic components such as modulators or detectors.
  • If the internal-loss reduction holds in narrow-stripe or single-mode devices, it would lower the power consumption of uncooled transmitter modules.
  • Repeating the growth sequence with non-superlattice reference structures in the same reactor run would provide a stricter test of the design advantage.
  • The reported numbers set a quantitative benchmark that other 1300 nm active-region approaches can be measured against.

Load-bearing premise

The performance gains arise from the superlattice design and chosen strain levels rather than differences in material quality, waveguide structure, or test conditions across the variants.

What would settle it

Fabricating and characterizing otherwise identical 1300 nm lasers that use conventional thin InGaAs quantum wells instead of the superlattice and finding internal losses well above 6 cm^{-1} or T0 below 76 K would falsify the central claim.

Figures

Figures reproduced from arXiv: 2408.02469 by Andrey Babichev, Andrey Lutetskiy, Anton Egorov, Dieter Bimberg, Evgeniy Pirogov, Innokenty Novikov, Leonid Karachinsky, Maksim Sobolev, Mikhail Maximov, Nikita Pikhtin, Sergey Blokhin, Si-Cong Tian, Yuri Shernyakov.

Figure 1
Figure 1. Figure 1: Inverse external quantum efficiency as a function of inverse mirror loss (top panel). The inset of top panel shows the lasing wavelengths for lasers with different cavity length; Threshold modal gain as a function of current density (bottom panel). The solid line shows the modal gain calculated for the structure studied in Ref. 18. The top inset demonstrates the dg/dj as a function of modal gain. The botto… view at source ↗
Figure 2
Figure 2. Figure 2: Temperature dependence of the threshold current density (top panel) and the total external quantum efficiency (bottom panel) for lasers based on three structures. Each panel is in semi logarithmic scale. The inset at the top panel shows the conduction band energy diagram of the second structure. The inset at the bottom panel depicts the lasing wavelengths at different temperatures. reasons. The first is as… view at source ↗
read the original abstract

A detailed experimental analysis of the impact of active region design on the performance of 1300 nm lasers based on InGaAs/InAlGaAs superlattices is presented. Three different types of superlattice active regions and waveguide layer compositions were grown. Using a superlattice allows to downshift the energy position of the miniband, as compared to thin InGaAs quantum wells, having the same composition, being beneficial for high-temperature operation. Very low internal loss (~6$cm^{-1}$), low transparency current density of ~500$ A/cm^2$, together with 46$ cm^{-1}$ modal gain and 53 % internal efficiency were observed for broad-area lasers with an active region based on a highly strained $In_{0.74}Ga_{0.26}As/In_{0.53}Al_{0.25}Ga_{0.22}As$ superlattice. Characteristic temperatures $T_0$ and $T_1$ were improved up to 76 K and 100 K, respectively. These data suggest that such superlattices have also the potential to much improve VCSEL properties at this wavelength.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript presents an experimental study of 1300 nm broad-area lasers fabricated with three variants of InGaAs/InAlGaAs superlattice active regions paired with differing waveguide compositions. It reports that the highly strained In_{0.74}Ga_{0.26}As/In_{0.53}Al_{0.25}Ga_{0.22}As superlattice yields internal loss ~6 cm^{-1}, transparency current density ~500 A/cm², modal gain 46 cm^{-1}, internal efficiency 53 %, and characteristic temperatures T_0 = 76 K and T_1 = 100 K, attributing these metrics to miniband downshift relative to thin quantum wells and suggesting applicability to VCSELs.

Significance. The measured values are competitive for 1300 nm lasers and directly support the performance claims in the abstract. If the gains can be isolated to the superlattice design, the work would be significant for high-temperature operation; the concrete experimental numbers (rather than fitted predictions) strengthen the result.

major comments (2)
  1. [Results and discussion of the three superlattice + waveguide variants] Comparison of the three variants: the central attribution of the ~6 cm^{-1} internal loss, ~500 A/cm² transparency current, 46 cm^{-1} modal gain, and improved T_0/T_1 to the superlattice miniband shift is not isolated from simultaneous changes in waveguide compositions and possible batch-to-batch epitaxial variations; no post-growth metrology (e.g., XRD or TEM focused on the active region alone) or matched-growth controls are described to separate these effects.
  2. [Device characterization and parameter extraction] Device characterization section: the reported internal efficiency of 53 % and modal gain of 46 cm^{-1} are stated without accompanying error bars, number of devices measured, or explicit description of the cavity-length method used to extract internal loss and efficiency; this information is required to assess whether the values are statistically robust.
minor comments (2)
  1. [Abstract] Abstract: LaTeX artifacts remain in the text (~6$cm^{-1}$, ~500$ A/cm^2$); these should be rendered consistently for publication.
  2. A summary table comparing the three variants (composition, measured loss, J_tr, gain, efficiency, T_0, T_1) would improve readability and allow direct assessment of the design trends.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the constructive comments on our manuscript. We address the major points below and will revise the manuscript to improve clarity on experimental details while noting inherent limitations in the study design.

read point-by-point responses
  1. Referee: Comparison of the three variants: the central attribution of the ~6 cm^{-1} internal loss, ~500 A/cm² transparency current, 46 cm^{-1} modal gain, and improved T_0/T_1 to the superlattice miniband shift is not isolated from simultaneous changes in waveguide compositions and possible batch-to-batch epitaxial variations; no post-growth metrology (e.g., XRD or TEM focused on the active region alone) or matched-growth controls are described to separate these effects.

    Authors: The three variants were intentionally grown with differing superlattice compositions to vary the miniband position while adjusting waveguide layers to maintain comparable optical confinement factors. The performance trends are linked to the active-region design changes. We acknowledge that waveguide variations and lack of matched controls prevent full isolation of effects, and no dedicated post-growth XRD or TEM metrology on the active region alone was performed. The revised manuscript will add explicit discussion of these design choices and limitations. revision: partial

  2. Referee: Device characterization section: the reported internal efficiency of 53 % and modal gain of 46 cm^{-1} are stated without accompanying error bars, number of devices measured, or explicit description of the cavity-length method used to extract internal loss and efficiency; this information is required to assess whether the values are statistically robust.

    Authors: We will revise the device characterization section to describe the cavity-length method in detail, report the number of devices measured per cavity length, and include error bars on the extracted parameters (internal efficiency and modal gain) derived from the linear fits. revision: yes

standing simulated objections not resolved
  • Absence of post-growth metrology (XRD or TEM) focused on the active region and matched-growth controls to isolate superlattice effects from waveguide changes.

Circularity Check

0 steps flagged

No circularity; purely experimental measurements with no derivations or self-referential predictions

full rationale

The manuscript reports direct experimental characterization of three grown superlattice variants (internal loss ~6 cm^{-1}, transparency current ~500 A/cm^{2}, modal gain 46 cm^{-1}, internal efficiency 53 %, T0/T1 values). No equations, fitted parameters renamed as predictions, or load-bearing self-citations appear in the provided text. The central performance numbers are measured outputs, not quantities that reduce to the input design parameters by construction. Attribution of gains specifically to the superlattice miniband shift versus other growth variables is an interpretive claim but does not constitute a circular derivation step.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is an experimental materials-and-device paper. No free parameters are introduced or fitted, no mathematical axioms beyond standard semiconductor physics are invoked, and no new physical entities are postulated.

pith-pipeline@v0.9.0 · 5801 in / 1325 out tokens · 38785 ms · 2026-05-23T22:06:55.371561+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

58 extracted references · 58 canonical work pages

  1. [1]

    (2023, Feb

    John Wiley & Sons, Inc. (2023, Feb. 06), Industrializing SWIR VCSELs above 1300 nm [Online]. Available: https://www.wileyindustrynews.com/en/news/industrializing-swir-vcsels- above-1300-nm (accessed on 02 August 2024)

  2. [2]

    Compound Semiconductor Magazine Angel Business Comms. Ltd. (2024, Apr. 21), TriEye and Vertilas demo 1.3μm VCSEL -driven SWIR sensors [Online]. Available: https://compoundsemiconductor.net/article/119206/TriEye_and_Vertilas_ demo_13%CE%BCm_VCSEL-driven_SWIR_sensors (accessed on 0 2 August 2024)

  3. [3]

    Long wavelength dilute nitride VCSELs, edge emitters and detectors for 3D sensing applications,

    A. D. Johnson, K. Nunna, A. Clark, A. Joel, and R. Pelzel, “Long wavelength dilute nitride VCSELs, edge emitters and detectors for 3D sensing applications,” in Proc. SPIE Photonics West 2023. OPTO - Vertical-Cavity Surface-Emitting Lasers XXVII, San Francisco, CA, USA, 2023, Art. No. PC124390A, doi: 10.1117/12.2668691

  4. [4]

    Dilute nitride based sensing on 200mm GaAs & GaAs -Ge templates,

    A. Clark, K. Nunna, M. J. Furlong, and R. Pelzel, “Dilute nitride based sensing on 200mm GaAs & GaAs -Ge templates,” in Proc. SPIE Photonics West 2024. OPTO - Vertical-Cavity Surface -Emitting Lasers XXVIII, San Francisco, CA, USA, 2024, Art. No. PC129040A, doi: 10.1117/12.3013944

  5. [5]

    (2024, Apr

    Juno Publishing and Media Solutions Ltd. (2024, Apr. 08), Adtran and Vertilas unveil first ultra -low-power 100G PAM4 single -mode VCSEL technology [Online]. Available: https://www.semiconductor - today.com/news_items/2024/apr/adtran-vertilas-080424.shtml (accessed on 02 August 2024)

  6. [6]

    24), Adtran and Vertilas answer AI demands with industry -first ultra -low-power 100G PAM4 single -mode VCSEL technology [Online]

    Adtran, Inc., (2024, Mar. 24), Adtran and Vertilas answer AI demands with industry -first ultra -low-power 100G PAM4 single -mode VCSEL technology [Online]. Available: https://www.adtran.com/en/newsroom/press-releases/20240325-adtran- answers-ai-demands-with-industry-first-ultra-low-power-100g-pam4- single-mode-vcsel (accessed on 02 August 2024)

  7. [7]

    2 5), NIR Lasers (VCSEL) for optical communications, sensing and 3D sensing [Online]

    Vertilas, GmbH, (2024, Mar. 2 5), NIR Lasers (VCSEL) for optical communications, sensing and 3D sensing [Online]. Available: https://www.vertilas.com/sites/default/files/Downloads/vertilas_inp_vcsel _com_40g_nrz_to_106g_pam4_website.pdf (accessed on 0 2 August 2024)

  8. [8]

    Optical transmitter based on a 1.3-μm VCSEL and a SiGe driver circuit for short-reach applications and beyond,

    A. Malacarne et al., “Optical transmitter based on a 1.3-μm VCSEL and a SiGe driver circuit for short-reach applications and beyond,” J. Lightwave Technol., vol. 36, no. 9, pp. 1527 –1536, May 2018, doi: 10.1109/jlt.2017.2782882

  9. [9]

    DSP -free and real -time NRZ transmission of 50 Gb/s over 15-km SSMF and 64 Gb/s back -to-back with a 1.3 -μm VCSEL,

    L. Breyne et al., “DSP -free and real -time NRZ transmission of 50 Gb/s over 15-km SSMF and 64 Gb/s back -to-back with a 1.3 -μm VCSEL,” J. Lightwave Technol. , vol. 37, no. 1, pp. 170 –177, Jan. 2019, doi: 10.1109/jlt.2018.2885619. 6

  10. [11]

    New packaging technology for disruptive 1 - and 2 - dimensional VCSEL arrays and their electro - optical performance and applications,

    R. Dohle et al., “New packaging technology for disruptive 1 - and 2 - dimensional VCSEL arrays and their electro - optical performance and applications,” in Proc. 2022 IEEE 72nd Electronic Components and Technology Conference (ECTC) , San Diego, CA, USA, 2022, doi: 10.1109/ectc51906.2022.00298

  11. [12]

    (2022, May 17), Single mode and multi mode long wavelength VCSELs [Online]

    The European Photonics Industry Consortium (EPIC -Photonics). (2022, May 17), Single mode and multi mode long wavelength VCSELs [Online]. Available: https://epic -photonics.com/wp- content/uploads/2022/01/Christian-Neumeyr-Vertilas.pdf (accessed on 0 2 August 2024)

  12. [13]

    Compound Semiconductor Magazine Angel Business Comms. Ltd. (2023, Mar. 16), Multiple opportunities for long -wavelength VCSELs [Online]. Available: https://compoundsemiconductor.net/article/116339/Multiple_opportunitie s_for_long-wavelength_VCSELs (accessed on 02 August 2024)

  13. [14]

    Spectral efficiency and energy efficiency of pulse - amplitude modulation using 1.3 μm wafer -fusion VCSELs for optical interconnects,

    P. Wolf et al., “Spectral efficiency and energy efficiency of pulse - amplitude modulation using 1.3 μm wafer -fusion VCSELs for optical interconnects,” ACS Photonics, vol. 4, no. 8, pp. 2018 –2024, Aug. 2017, doi: 10.1021/acsphotonics.7b00403

  14. [15]

    25 Gbps direct modulation and 10 km data transmission with 1310 nm waveband wafer fused VCSELs,

    A. Caliman et al., “25 Gbps direct modulation and 10 km data transmission with 1310 nm waveband wafer fused VCSELs,” Opt. Express, vol. 24, no. 15, pp. 16329 –16335, Jul. 2016, doi: 10.1364/oe.24.016329

  15. [16]

    Effect of cavity lifetime variation on the static and dynamic properties of 1.3-μm wafer-fused VCSELs,

    D. Ellafi et al., “Effect of cavity lifetime variation on the static and dynamic properties of 1.3-μm wafer-fused VCSELs,” IEEE J. Sel. Top. Quantum Electron. , vol. 21, no. 6, pp. 414 –422, Nov. 2015, doi: 10.1109/jstqe.2015.2412495

  16. [17]

    1.3 μm high-power short-cavity VCSELs for high-speed applications,

    M. Müller et al., “1.3 μm high-power short-cavity VCSELs for high-speed applications,” in Proc. CLEO: Science and Innovations 2012 , San Jose, CA, USA, 2024, Art. No. CW3N.2, doi: 10.1364/cleo_si.2012.cw3n.2

  17. [18]

    AlGaInAs/InP strained -layer quantum well lasers at 1.3 µm grown by solid source molecular beam epitaxy,

    P. Savolainen et al., “AlGaInAs/InP strained -layer quantum well lasers at 1.3 µm grown by solid source molecular beam epitaxy,” J. Electron. Mater., vol. 28, no. 8, pp. 980–985, Aug. 1999, doi: 10.1007/s11664-999- 0208-6

  18. [19]

    InP -based VCSEL technology covering the wavelength range from 1.3 to 2.0 μm,

    G. Boehm et al., “InP -based VCSEL technology covering the wavelength range from 1.3 to 2.0 μm,” in Proc. International Conference on Molecular Bean Epitaxy , 2002, San Francisco, CA, USA, 2002, doi: 10.1109/mbe.2002.1037768

  19. [20]

    High -speed 1550 nm VCSEL data transmission link employing 25 GBd 4 -PAM modulation and hard decision forward error correction,

    R. Rodes et al., “High -speed 1550 nm VCSEL data transmission link employing 25 GBd 4 -PAM modulation and hard decision forward error correction,” J. Lightwave Technol. , vol. 31, no. 4, pp. 689 –695, Feb. 2013, doi: 10.1109/jlt.2012.2224094

  20. [21]

    Programmable VCSEL -based photonic system architecture for future agile Tb/s metro networks,

    M. S. Moreolo et al., “Programmable VCSEL -based photonic system architecture for future agile Tb/s metro networks,” JOCN, vol. 13, no. 2, pp. A187-A199, Dec. 2020, doi: 10.1364/jocn.411964

  21. [22]

    VCSEL -based sliceable bandwidth/bitrate variable transceivers,

    M. Svaluto Moreolo et al., “VCSEL -based sliceable bandwidth/bitrate variable transceivers,” in Proc. SPIE Photonics West 2019. OPTO - Metro and Data Center Optical Networks and Short -Reach Links II , San Francisco, CA, USA, 2019, Art. No. 1094606, doi: 10.1117/12.2509316

  22. [23]

    10 -Gb/s direct modulation of widely tunable 1550 -nm MEMS VCSEL,

    S. Paul et al., “10 -Gb/s direct modulation of widely tunable 1550 -nm MEMS VCSEL,” IEEE J. Sel. Top. Quantum Electron., vol. 21, no. 6, pp. 436–443, Nov. 2015, doi: 10.1109/jstqe.2015.2418218

  23. [24]

    Mikromechanisch abstimmbare, vertikal emittierende Laserdioden,

    F. Riemenschneider, “Mikromechanisch abstimmbare, vertikal emittierende Laserdioden,” Ph.D. dissertation, Fachbereich Elektrotechnik und Informationstechnik, Technischen Universit¨at Darmstadt, Darmstadt, Ger., 2008. [Online]. Available: https://tuprints.ulb.tu - darmstadt.de/1288/1/Mikromechanisch_abstimmbare_vertikal_emittieren de_Laserdioden.pdf (acces...

  24. [25]

    M. T. Haidar et al., “Systematic characterization of a 1550 nm microelectromechanical (MEMS)-tunable vertical-cavity surface-emitting laser (VCSEL) with 7.92 THz tuning range for terahertz photomixing systems,” J. Appl. Phys., vol. 123, no. 2, Art. No. 023106, Jan. 2018, doi: 10.1063/1.5003147

  25. [26]

    Multispecies heterodyne phase sensitive dispersion spectroscopy over 80 nm using a MEMS -VCSEL,

    S. Paul, P. Martín -Mateos, N. Heermeier, F. Küppers, and P. Acedo, “Multispecies heterodyne phase sensitive dispersion spectroscopy over 80 nm using a MEMS -VCSEL,” ACS Photonics, vol. 4, no. 11, pp. 2664 – 2668, Oct. 2017, doi: 10.1021/acsphotonics.7b00704

  26. [27]

    Single -mode high -speed 1550 nm wafer fused VCSELs for narrow WDM systems,

    A. Babichev et al., “Single -mode high -speed 1550 nm wafer fused VCSELs for narrow WDM systems,” IEEE Photonics Technol. Lett., vol. 35, no. 6, pp. 297–300, Mar. 2023, doi: 10.1109/lpt.2023.3241001

  27. [28]

    6 -mW single-mode high -speed 1550 -nm wafer - fused VCSELs for DWDM application,

    A. V. Babichev et al., “6 -mW single-mode high -speed 1550 -nm wafer - fused VCSELs for DWDM application,” IEEE J. Quantum Electron., vol. 53, no. 6, pp. 1–8, Dec. 2017, doi: 10.1109/jqe.2017.2752700

  28. [29]

    Continuous wave and modulation performance of 1550nm band wafer -fused VCSELs with MBE -grown InP -based active region and GaAs -based DBRs,

    A. V. Babichev et al., “Continuous wave and modulation performance of 1550nm band wafer -fused VCSELs with MBE -grown InP -based active region and GaAs -based DBRs,” in Proc. SPIE Photonics West 2017. OPTO - Vertical-Cavity Surface-Emitting Lasers XXI, San Francisco, CA, USA, 2017, Art. No. 1012208, doi: 10.1117/12.2250842

  29. [30]

    Impact of device topology on the performance of high-speed 1550 nm wafer -fused VCSELs,

    A. Babichev et al., “Impact of device topology on the performance of high-speed 1550 nm wafer-fused VCSELs,” Photonics, vol. 10, no. 6, Art. No. 660, Jun. 2023, doi: 10.3390/photonics10060660

  30. [31]

    1.3-μm AlGaInAs/InP strained multiple quantum well lasers for high -temperature operation,

    T. Ishikawa et al., “1.3-μm AlGaInAs/InP strained multiple quantum well lasers for high -temperature operation,” Technical Digest. Summaries of papers presented at the Conference on Lasers and Electro -Optics. Conference Edition. 1998 Technical Digest Series, Vol.6 (IEEE Cat. No.98CH36178), 1998, doi: 10.1109/cleo.1998.676185

  31. [32]

    InGaAs/InGaAlAs MQW lasers with InGaAsP guiding layers grown by gas source molecular beam epitaxy,

    Y. Kawamura, A. Wakatsuki, Y. Noguchi, and H. Iwamura, “InGaAs/InGaAlAs MQW lasers with InGaAsP guiding layers grown by gas source molecular beam epitaxy,” IEEE Photonics Technol. Lett. , vol. 3, no. 11, pp. 960–962, Nov. 1991, doi: 10.1109/68.97826

  32. [33]

    Theoretical studies of the effect of strain on the performance of strained quantum well lasers based on GaAs and InP technology,

    J. P. Loehr and J. Singh, “Theoretical studies of the effect of strain on the performance of strained quantum well lasers based on GaAs and InP technology,” IEEE J. Quantum Electron. , vol. 27, no. 3, pp. 708 –716, Mar. 1991, doi: 10.1109/3.81381

  33. [34]

    InGaAs/InAlAs SCH-MQW lasers with superlattice optical confinement layers grown by MBE,

    Y. Kawamura, H. Asai, Y. Sakai, I. Kotaka, and M. Naganuma, “InGaAs/InAlAs SCH-MQW lasers with superlattice optical confinement layers grown by MBE,” IEEE Photonics Technol. Lett. , vol. 2, no. 1, pp. 1–2, Jan. 1990, doi: 10.1109/68.47022

  34. [35]

    High power single mode 1300-nm superlattice based vcsel: impact of the buried tunnel junction diameter on performance,

    S. A. Blokhin et al., “High power single mode 1300-nm superlattice based vcsel: impact of the buried tunnel junction diameter on performance,” IEEE J. Quantum Electron. , vol. 58, no. 2, pp. 1 –15, Apr. 2022, doi: 10.1109/jqe.2022.3141418

  35. [36]

    InP -based long -wavelength VCSELs and VCSEL Arrays,

    M.-C. Amann and W. Hofmann, “InP -based long -wavelength VCSELs and VCSEL Arrays,” IEEE J. Sel. Top. Quantum Electron., vol. 15, no. 3, pp. 861–868, 2009, doi: 10.1109/jstqe.2009.2013182

  36. [37]

    AlGaInAs/InP -epitaxy for long wavelength vertical -cavity surface-emitting lasers,

    G. Boehm, M. Ortsiefer, R. Shau, F. Koehler, R. Meyer, and M.-C. Amann, “AlGaInAs/InP -epitaxy for long wavelength vertical -cavity surface-emitting lasers,” J. Cryst. Growth , vol. 227 –228, pp. 319 –323, Jul. 2001, doi: 10.1016/s0022-0248(01)00713-8

  37. [38]

    High speed 1.3 μm VCSELs for 12.5 Gbit/s optical interconnects,

    M. Ortsiefer et al., “High speed 1.3 μm VCSELs for 12.5 Gbit/s optical interconnects,” Electron. Lett., vol. 44, no. 16, p p. 974 –975, 2008, doi: 10.1049/el:20081591

  38. [39]

    20 -Gbps 1300-nm range wafer-fused vertical-cavity surface-emitting lasers with InGaAs/InAlGaAs superlattice -based active region,

    S. A. Blokhin et al., “20 -Gbps 1300-nm range wafer-fused vertical-cavity surface-emitting lasers with InGaAs/InAlGaAs superlattice -based active region,” Opt. Eng. , vol. 61, no. 09, Art. No. 096109, Sep. 2022, doi: 10.1117/1.oe.61.9.096109

  39. [40]

    Wafer‐fused 1300 nm VCSELs with an active region based on superlattice,

    S. Blokhin et al., “Wafer‐fused 1300 nm VCSELs with an active region based on superlattice,” Electron. Lett., vol. 57, no. 18, pp. 697 –698, Jun. 2021, doi: 10.1049/ell2.12232

  40. [41]

    Threshold characteristics of λ=1.55 µm InGaAsP/InP heterolasers,

    G. G. Zegrya, N. A. Pikhtin, G. V. Skrynnikov, S. O. Slipchenko, and I. S. Tarasov, “Threshold characteristics of λ=1.55 µm InGaAsP/InP heterolasers,” Semiconductors, vol. 35, no. 8, pp. 962 –969, Aug. 2001, doi: 10.1134/1.1393036

  41. [42]

    Threshold - current analysis of InGaAs -InGaAsP multiquantum well separate - confinement lasers,

    M. Rosenzweig, M. Mohrle, H. Duser, and H. Venghaus, “Threshold - current analysis of InGaAs -InGaAsP multiquantum well separate - confinement lasers,” IEEE J. Quantum Electron., vol. 27, no. 6, pp. 1804– 1811, Jun. 1991, doi: 10.1109/3.90008

  42. [43]

    1.3 -μm InAsP modulation -doped MQW lasers,

    H. Shimizu, K. Kumada, N. Yamanaka, N. Iwai, T. Mukaihara, and A. Kasukawa, “1.3 -μm InAsP modulation -doped MQW lasers,” IEEE J. Quantum Electron ., vol. 36, no. 6, pp. 728 –735, Jun. 2000, doi: 10.1109/3.845730

  43. [44]

    Design and characterization of 1.3-μm AlGaInAs-InP multiple-quantum-well lasers,

    S. R. Selmic et al., “Design and characterization of 1.3-μm AlGaInAs-InP multiple-quantum-well lasers,” IEEE J. Sel. Top. Quantum Electron., vol. 7, no. 2, pp. 340–349, 2001, doi: 10.1109/2944.954148

  44. [45]

    Effect of cavity length, strain, and mesa capacitance on 1.5 -μm VCSELs performance,

    S. Spiga, D. Schoke, A. Andrejew, G. Boehm, and M. -C. Amann, “Effect of cavity length, strain, and mesa capacitance on 1.5 -μm VCSELs performance,” J. Lightwave Technol. , vol. 35, no. 15, pp. 3130 –3141, Aug. 2017, doi: 10.1109/jlt.2017.2660444

  45. [46]

    Valence subband structures and optical properties of strain-compensated quantum wells,

    Y. Seko and A. Sakamoto, “Valence subband structures and optical properties of strain-compensated quantum wells,” Jpn. J. Appl. Phys., vol. 40, no. 1R, Art. No. 34, Jan. 2001, doi: 10.1143/jjap.40.34

  46. [47]

    Heterojunction band offsets and effective masses in III-V quaternary alloys,

    M. P. C. M. Krijn, “Heterojunction band offsets and effective masses in III-V quaternary alloys,” Semicond. Sci. Technol., vol. 6, no. 1, pp. 27–31, Jan. 1991, doi: 10.1088/0268-1242/6/1/005. 7

  47. [48]

    Differential gain in coupled quantum well lasers,

    A. I. Akhtar and J. M. Xu, “Differential gain in coupled quantum well lasers,” J. Appl. Phys ., vol. 78, no. 5, pp. 2962 –2969, Sep. 1995, doi: 10.1063/1.360043

  48. [49]

    Semiconductor Lasers I, Fundamentals,

    E. Kapon “Semiconductor Lasers I, Fundamentals,” in Optics and Photonics, P. L. Kelley, I. P. Kaminow, G. P. Agrawal, Eds. Academic Press: San Diego, 1999, doi: 10.1016/b978-0-12-397630-7.x5000-8

  49. [50]

    Minimum temperature sensitivity of 1.55 μm vertical -cavity lasers at −30 nm gain offset,

    J. Piprek, Y. A. Akulova, D. I. Babic, L. A. Coldren, and J. E. Bowers, “Minimum temperature sensitivity of 1.55 μm vertical -cavity lasers at −30 nm gain offset,” Appl. Phys. Lett ., vol. 72, no. 15, pp. 1814 –1816, Apr. 1998, doi: 10.1063/1.121318

  50. [51]

    The influence of growth conditions on carrier recombination mechanisms in 1.3 μm GaAsSb/GaAs quantum well lasers,

    N. Hossain et al., “The influence of growth conditions on carrier recombination mechanisms in 1.3 μm GaAsSb/GaAs quantum well lasers,” Appl. Phys. Lett. , vol. 102, no. 4, Jan. 2013, doi: 10.1063/1.4789859

  51. [52]

    Study on the dominant mechanisms for the temperature sensitivity of threshold current in 1.3-μm InP-based strained-layer quantum-well lasers,

    S. Seki, H. Oohashi, H. Sugiura, T. Hirono, and K. Yokoyama, “Study on the dominant mechanisms for the temperature sensitivity of threshold current in 1.3-μm InP-based strained-layer quantum-well lasers,” IEEE J. Quantum Electron. , vol. 32, no. 8, pp. 1478 –1486, 1996, doi: 10.1109/3.511561

  52. [53]

    Low threshold GaInAs quantum well lasers grown under low growth rate by solid‐source MBE for 1200 nm wavelength range,

    M. Ohta et al., “Low threshold GaInAs quantum well lasers grown under low growth rate by solid‐source MBE for 1200 nm wavelength range,” Phys. Status Solidi C , vol. 3, no. 3, pp. 419 –422, Feb. 2006, doi: 10.1002/pssc.200564112

  53. [54]

    Dominant mechanisms for the temperature sensitivity of 1.3 μm InP -based strained- layer multiple-quantum-well lasers,

    S. Seki, H. Oohasi, H. Sugiura, T. Hirono, and K. Yokoyama, “Dominant mechanisms for the temperature sensitivity of 1.3 μm InP -based strained- layer multiple-quantum-well lasers,” Appl. Phys. Lett. , vol. 67, no. 8, pp. 1054–1056, Aug. 1995, doi: 10.1063/1.114462

  54. [55]

    Simulation of the energy -band structure of superlattice of quaternary alloys of diluted nitrides,

    A. S. Dashkov, N. A. Kostromin, A. V. Babichev, L. I. Goray, and A. Yu. Egorov, “Simulation of the energy -band structure of superlattice of quaternary alloys of diluted nitrides,” Semiconductors, vol. 57, no. 3, pp. 203–210, May 2023, doi: 10.21883/sc.2023.03.56237.4163

  55. [56]

    Effect of barrier recombination on the high temperature performance of quaternary multiquantum well lasers,

    A. A. Bernussi, H. Temkin, D. L. Coblentz, and R. A. Logan, “Effect of barrier recombination on the high temperature performance of quaternary multiquantum well lasers,” Appl. Phys. Lett. , vol. 66, no. 1, pp. 67 –69, Jan. 1995, doi: 10.1063/1.114185

  56. [57]

    Theory of gain, modulation response, and spectral linewidth in AlGaAs quantum well lasers,

    Y. Arakawa and A. Yariv, “Theory of gain, modulation response, and spectral linewidth in AlGaAs quantum well lasers,” IEEE J. Quantum Electron., vol. 21, no. 10, pp. 1666 –1674, Oct. 1985, doi: 10.1109/jqe.1985.1072555. Andrey Babichev received the Ph.D. degree in condensed matter physics from the Ioffe Institute, St. Petersburg, Russia, in 2014. He has a...

  57. [58]

    (Habilitation) degrees in physics and mathematics from the Ioffe Physical -Technical Institute in 1995 and 2010, respectively

    He received the Candidate of Science (Ph.D.) and D.Sc. (Habilitation) degrees in physics and mathematics from the Ioffe Physical -Technical Institute in 1995 and 2010, respectively. Since 1989, he has been working with the Ioffe Institute. He is currently at Alferov University, Saint Petersburg, Russia. He has coauthored more than 400 papers. His main res...

  58. [59]

    He held a Principal Scientist position at the Max Planck Institute for Solid State Research, Grenoble, France, until 1979. After serving as a Professor of electrical engineering with the Technical University of Aachen, Aachen, Germany, he assumed the Chair of Applied Solid-State Physics with the Technical University of Berlin, Berlin, Germany. He is the F...