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Accurate dependences of spontaneous emission factor, lifetime, and photon lifetime on threshold current

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Abstract

Using the rate equation, several optical methods of characterizing the threshold of a laser diode (LD) were analyzed. The thresholds determined by all methods are consistent if the spontaneous-emission-coefficient (β) is small. If β<0.05, the thresholds obtained by different methods are different. Especially, for micro-nano LDs with a large β, these methods are starting to become inaccurate. However, the d S/dH is a relatively accurate method to characterize threshold of these LDs compared to other methods. The effects of the spontaneous-emission-lifetime (τsp) and the photon-lifetime (τp) on thresholds were analyzed. The exact functions between the threshold and the β, τsp and τp were obtained.

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References

  1. Malinauskas M., Žukauskas A., Hasegawa S., Hayasaki Y., Mizeikis V., Buividas R. and Juodkazis S., Light: Science & Applications 5, e16133 (2016).

    Article  ADS  Google Scholar 

  2. Ding K. and Ning C. Z., Semiconductor Science and Technology 28, 124002 (2013).

    Article  ADS  Google Scholar 

  3. Blood P., IEEE Journal of Selected Topics in Quantum Electronics 19, 1503201 (2013).

    Article  ADS  Google Scholar 

  4. Ning C. Z., IEEE Journal of Selected Topics in Quantum Electronics 19, 1503604 (2013).

    Article  ADS  Google Scholar 

  5. Coldren L. A., IEEE Journal of Selected Topics in Quantum Electronics 19, 1503503 (2013).

    Article  ADS  Google Scholar 

  6. Chow W. W., IEEE Journal of Selected Topics in Quantum Electronics 19, 1503402 (2013).

    Article  ADS  Google Scholar 

  7. Bjork G. and Yamamoto Y., IEEE Journal of Quantum Electronics 27, 2386 (1991).

    Article  ADS  Google Scholar 

  8. Ding K., Liu Z. C., Yin L. J., Hill M. T., Marell M. J. H., van Veldhoven P. J., Nöetzel R. and Ning C. Z., Physical Review B 85, 041301 (2012).

    Article  ADS  Google Scholar 

  9. Sanfeng Wu, Sonia Buckley, John R. Schaibley, Liefeng Feng, Jiaqiang Yan, David G. Mandrus, Fariba Hatami, Wang Yao, Jelena Vučković, Arka Majumdar and Xiaodong Xu, Nature 520, 69 (2015).

    Article  Google Scholar 

  10. Guillaume Crosnier, Dorian Sanchez, Sophie Bouch-oule, Paul Monnier, Gregoire Beaudoin, Isabelle Sagnes, Rama Raj and Fabrice Raineri, Nature Photonics 11, 297 (2017).

    Article  Google Scholar 

  11. Li Y, Zhang J, Huang D, Yongzhuo Li, Jianxing Zhang, Dandan Huang, Hao Sun, Fan Fan, Jiabin Feng, Zhen Wang and C. Z. Ning, Nature Nanotechnology 12, 987 (2017).

    Article  ADS  Google Scholar 

  12. Choquette K. D., Schneider R. P., Lear K. L. and Leibenguth R. E., IEEE Journal of Selected Topics in Quantum Electronics 1, 661 (1995).

    Article  ADS  Google Scholar 

  13. Ding Li, Hua Zong, Wei Yang, Liefeng Feng, Juan He, Weimin Du, Cunda Wang, Ya-Hong Xie, Zhijian Yang, Bo Shen, Guoyi Zhang and Xiaodong Hu, Optics Express 22, 2536 (2014).

    Article  Google Scholar 

  14. Ding Li, Wei Yang, Liefeng Feng, Peter W. Roth, Juan He, Weimin Du, Zhijian Yang, Cunda Wang, Guoyi Zhang and Xiaodong Hu, Applied Physics Letters 102, 123501 (2013).

    Article  Google Scholar 

  15. Feng L., Wang S., Li Y., Li D. and Wang C., Journal of Physics D: Applied Physics 51, 095102 (2018).

    Article  ADS  Google Scholar 

  16. Feng L., Wang S., Li Y., Li D. and Wang C., Applied Physics B 124, 39 (2018).

    Article  Google Scholar 

  17. Coldren L. A., Corzine S. W. and Mashanovitch M. L., John Wiley & Sons, 2012.

    Google Scholar 

  18. Agrawal G. P. and Dutta N. K., Springer Science & Business Media, 2013.

    Google Scholar 

  19. Lu T. C., Wu T. T., Chen S. W., Tu P. M., Li Z. Y., Chen C. K., Chen C. H., Kuo H. C., Wang S. C., Zan H. W. and Chang C. Y., IEEE Journal of Selected Topics in Quantum Electronics 17, 1594 (2011).

    Article  ADS  Google Scholar 

  20. Jianjun G, Baoxin G and Chunguang L, IEEE Asia-Pacific Microwave Conference, 569 (1997).

    Google Scholar 

  21. Bjork G. and Yamamoto Y., IEEE Journal of Quantum Electronics 27, 2386 (1991).

    Article  ADS  Google Scholar 

  22. Gao J., Li X., Flucke J. and Boeck G., Journal of Lightwave Technology 22, 1604 (2004).

    Article  ADS  Google Scholar 

  23. Meyer T., Braun H., Schwarz U. T., Tautz S., Schill-galies M., Lutgen S. and Strauss U., Optics Express 16, 6833 (2008).

    Article  ADS  Google Scholar 

  24. Wiersig J., Gies C., Jahnke F., Aßmann M., Berster-mann T., Bayer M., Kistner C., Reitzenstein S., Schneider C., Höfling S., Forchel A., Kruse C., Kalden J. and Homme D, Nature 460, 245 (2009).

    Article  ADS  Google Scholar 

  25. Ulrich S. M., Gies C., Ates S., Wiersig J., Reitzenstein S., Hofmann C., Löffler A., Forchel A., Jahnke F. and Michler P., Physical Review Letters 98, 043906 (2007).

    Article  ADS  Google Scholar 

  26. Zhao H D, Kang Z L, Wang S L, Chen G Y and Zhang Y M, Acta Physica Sinica 52, 77 (2003).

    Google Scholar 

  27. Hisham H. K., Mahdiraji G. A., Abas A. F., Mahdi M. A. and Adikan F. R. M., Optical Engineering 53, 026107 (2014).

    Article  ADS  Google Scholar 

  28. Hisham H. K., Abas A. F., Mahdiraji G. A., Mahdi M. A. and Noor A. S. M., IEEE Journal of Quantum Electronics 48, 375 (2012).

    Article  ADS  Google Scholar 

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Correspondence to Lie-feng Feng  (冯列峰).

Additional information

This work has been supported by the National Natural Science Foundation of China (Nos.61804010, 61874004 and 11204209), and the Natural Science Foundations of Tianjin City (No.17JCYBJC16200).

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Jia, Kp., Zhang, L. & Feng, Lf. Accurate dependences of spontaneous emission factor, lifetime, and photon lifetime on threshold current. Optoelectron. Lett. 16, 103–107 (2020). https://doi.org/10.1007/s11801-020-9087-0

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  • DOI: https://doi.org/10.1007/s11801-020-9087-0

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