Difference between revisions of "Team:TU Delft/Model/Q3"

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<p> In order to get lasing cells we encapsulate <i>E.coli</i> in polysilica or tin dioxide and we use fluorophores as a gain medium. In Q1 we already determined the minimal size in order to fit one wavelength of light inside the cells when the light resonates in whispering gallery modes. In this section we determine the lasing threshold. Therefore we take losses due to the mirrors and absorption and the gain due to stimulated emission into account.  We will determine here what the minimal size and the minimal concentration of fluorophores is to get lasing. </p>
 
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Revision as of 10:17, 16 October 2016

iGEM TU Delft

Modeling

Q3: Can we determine the limit fluorophore concentration and limit size when taking into account the kinetics and dynamics of photons inside a biolaser cavity?

Introduction

In order to get lasing cells we encapsulate E.coli in polysilica or tin dioxide and we use fluorophores as a gain medium. In Q1 we already determined the minimal size in order to fit one wavelength of light inside the cells when the light resonates in whispering gallery modes. In this section we determine the lasing threshold. Therefore we take losses due to the mirrors and absorption and the gain due to stimulated emission into account. We will determine here what the minimal size and the minimal concentration of fluorophores is to get lasing.

References

  1. Aizenberg, J., Sundar, V. C., Yablon, A. D., Weaver, J. C., & Chen, G. (2004). Biological glass fibers: Correlation between optical and structural properties. Proceedings of the National Academy of Sciences of the United States of America, 101(10), 3358–3363. https://doi.org/DOI 10.1073/pnas.0307843101
  2. Hecht, E. (2001). Optics 4th edition. Optics 4th Edition by Eugene Hecht Reading MA Addison Wesley Publishing Company 2001. https://doi.org/10.1119/1.3274347
  3. Huglin, M. B., & Radwan, M. A. (1991). Behaviour of poly(β-hydroxybutyric acid) in dilute solution. Polymer International, 24(2), 119–123. https://doi.org/10.1002/pi.4990240210
  4. Humar, M., & Yun, S. H. (2015). Intracellular microlasers. Nature Photonics, 9(9), 572–576. https://doi.org/10.1038/nphoton.2015.129
  5. Kitamura, S., & Doi, Y. (1994). Staining method of poly(3-hydroxyalkanoic acids) producing bacteria by nile blue. Biotechnology Techniques, 8(5), 345–350. https://doi.org/10.1007/BF02428979
  6. Patnaik, P. (2003). Handbook of Inorganic Chemicals. Ebook. Retrieved from ftp://pvictor.homeftp.net/public/Sci_Library/Chem Library/Handbooks/Patnaik P. Handbook of inorganic chemicals (MGH, 2003)(T)(1125s).pdf
  7. Strutt, J. W., & Rayleigh, B. (1877). The Theory of Sound. Nature (Vol. 1). https://doi.org/10.1038/058121a0
  8. Wyatt, P. J. (1968). Differential Light Scattering: a Physical Method for Identifying Living Bacterial Cells. Applied Optics, 7(10), 1879. https://doi.org/10.1364/AO.7.001879
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