| Peer-Reviewed

Determination of Effective Photon Lifetime in Nitrogenic Laser in One and Two Dimension

Published in Optics (Volume 3, Issue 1)
Received: 5 March 2014     Accepted: 12 April 2014     Published: 10 May 2014
Views:       Downloads:
Abstract

Since one of the most valuable measurable parameters in laser, called effective cavity lifetime , gives useful information about laser, this paper aims to study the description of it dependency, τ_ph^eff, on geometrical characteristics of N2-laser, electrodes length and amplifier gap separation. First based on the studies carried out on it , an oscillator-amplifier laser is used which operates under moderate current density conditions; Then in order to obtain a theoretical relation for effective cavity lifetime and to demonstrate the mentioned dependency using rate equations, at first a one-dimensional method is used for the photon density. Since the answers of rate equations in an oscillator-amplifier laser are complicated, a single-oscillator based modelis offered to make rate equations simpler. In this model, at first it is supposed that the photon density of inner part of the amplifier could benph (z,t)= nph (0,t) exp (g0(z)z), If nph≅ nph (z,t), then rate equations are used for this density and since g0 is a function of z or amplifier electrode length (Z≅lAMP), the cavity effective life time is calculated for equivalent oscillator.Then ,Since most of studies carried out in one dimension , so for approaching to more actual system a two -dimensional method is used for the photon density. So, we consider Z andY, which Z is along amplifier electrodes length and Y is along gaps separation. Supposing that Z and Y are independent on the photon density, two independent relations can be considered for the photon density. In this step, 2-dimensional photon density could be regarded as:nph (z,y,t) = nph (z,t) nph (y,t) . and then 2-dimensional effective cavity lifetime amount is obtained as:〖〖(τ〗_eff^ph)〗^(-1)=c/l_AMp (1+ ץ_l^z+bl_AMp ץ_l^z )+c/d_AMp (ץ_l^y+ad_AMp ץ_l^y ), This relation includes 2 independent values along the electrodes length (Z≅lAMP) and gap separation (y≅dAMP). It also demonstrates that the obtained 2-dimentional relation represents a perfect schema for lifetime behavior. The results of this calculation are consistent with other reported N2-laser effective cavity lifetime values measured under moderate current density conditions.

Published in Optics (Volume 3, Issue 1)
DOI 10.11648/j.optics.20140301.12
Page(s) 5-11
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Laser, Photon, Nitrogenic, Lifetime, Effective

References
[1] E. Armandillo, A. Luches, V. Nassisi, M.R. Perrone, Appl. Opt. 24 (1985) 18.
[2] M. Csele, Fundamentals of light sources and lasers, John Wiley, 2004.
[3] F. Docchio, V. Magni, R. Ramponi, Rev. Sci. Instrum. 55 (1984) 477
[4] W.A. Fitzsimmons, L.W. Anderson, C.E. Ried-hauser, Jan M. Vrtilek, IEEE, J. Quant.
[5] L.M. Frantz, J.S. Nodvik, J. Appl. Phys. 34 (1963) 2346.
[6] M.C. Gower, C.B. Edwards, Opt. Commun. 40 (1982) 369.
[7] A. Hariri, S. Gho-reyshi, K. Rahimian, J. Appl. Phys. 101 (2007) 033132.
[8] A. Hariri, M. Jaberi, S. Ghoreyshi, Opt. Commun. 281 (2008) 3841.
[9] A. Hariri, S. Sarikhani. Optics Communications 284 (2011) 2153–2163
[10] H. K. Law, W O. Siew, K. K. Tham, and T. Y. Tou, An ultravio-let.
[11] A. V. Martinez and V. Aboites, Experimental optimization of a nitrogen laser, In-strumentation and development. 39 (1993), 396.
[12] A.D. Papadopoulos, A.A. Serafetinides, IEEE J. Quant. Electron. 26 (1990) 177.
[13] R. L. Roma and H. J. Ramos, Experimental inves-tigation and characterization of a compact pulsed tea molecular nitrogen laser, Philippine Journal of Science. 2 (1996), 241-254.
[14] S. Sarikhani, A. Hariri, Opt. Commun. 283 (2010) 118.
[15] W. T. Silfvast, Laser fundamentals, second edition, Cambridge University press, 2004.
[16] O. Svelto, Principles of laser, Springer Science and Business Media,Inc., 2009.
Cite This Article
  • APA Style

    S. N. Hosseinimotlagh, M. T. Yazdani, H. Zare. (2014). Determination of Effective Photon Lifetime in Nitrogenic Laser in One and Two Dimension. Optics, 3(1), 5-11. https://doi.org/10.11648/j.optics.20140301.12

    Copy | Download

    ACS Style

    S. N. Hosseinimotlagh; M. T. Yazdani; H. Zare. Determination of Effective Photon Lifetime in Nitrogenic Laser in One and Two Dimension. Optics. 2014, 3(1), 5-11. doi: 10.11648/j.optics.20140301.12

    Copy | Download

    AMA Style

    S. N. Hosseinimotlagh, M. T. Yazdani, H. Zare. Determination of Effective Photon Lifetime in Nitrogenic Laser in One and Two Dimension. Optics. 2014;3(1):5-11. doi: 10.11648/j.optics.20140301.12

    Copy | Download

  • @article{10.11648/j.optics.20140301.12,
      author = {S. N. Hosseinimotlagh and M. T. Yazdani and H. Zare},
      title = {Determination of Effective Photon Lifetime in Nitrogenic Laser in One and Two Dimension},
      journal = {Optics},
      volume = {3},
      number = {1},
      pages = {5-11},
      doi = {10.11648/j.optics.20140301.12},
      url = {https://doi.org/10.11648/j.optics.20140301.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.optics.20140301.12},
      abstract = {Since one of the most valuable measurable parameters in laser, called  effective cavity lifetime , gives useful information about laser, this paper aims to study the description of  it dependency, τ_ph^eff, on geometrical characteristics of N2-laser, electrodes length and amplifier gap separation. First based on the studies carried out on it , an oscillator-amplifier laser is used which operates under moderate current density conditions; Then in order to obtain a theoretical relation for effective cavity  lifetime  and to demonstrate the mentioned dependency using rate equations, at first a one-dimensional method is used for the photon density. Since the answers of rate equations in an oscillator-amplifier laser are complicated, a single-oscillator based modelis offered to make rate equations simpler. In this model, at first it is supposed that the photon density of inner part of the amplifier could benph (z,t)= nph (0,t) exp (g0(z)z), If nph≅ nph (z,t), then rate equations are used for this density and since g0 is a function of z or amplifier electrode length (Z≅lAMP), the cavity effective life time is calculated for equivalent oscillator.Then ,Since most of studies carried out in one dimension , so for approaching to more actual system a two -dimensional method is used for the photon density. So, we consider Z andY, which Z is along amplifier electrodes length and Y is along gaps separation. Supposing that Z and Y are independent on the photon density, two independent relations can be considered for the photon density. In this step, 2-dimensional photon density could be regarded as:nph (z,y,t) = nph (z,t) nph (y,t) . and then 2-dimensional effective cavity  lifetime amount is obtained as:〖〖(τ〗_eff^ph)〗^(-1)=c/l_AMp  (1+  ץ_l^z+bl_AMp ץ_l^z )+c/d_AMp  (ץ_l^y+ad_AMp ץ_l^y ), This relation includes 2 independent values along the electrodes length (Z≅lAMP) and gap separation (y≅dAMP). It also demonstrates that the obtained 2-dimentional relation represents a perfect schema for lifetime behavior. The results of this calculation are consistent with other reported N2-laser effective cavity lifetime values measured under moderate current density conditions.},
     year = {2014}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Determination of Effective Photon Lifetime in Nitrogenic Laser in One and Two Dimension
    AU  - S. N. Hosseinimotlagh
    AU  - M. T. Yazdani
    AU  - H. Zare
    Y1  - 2014/05/10
    PY  - 2014
    N1  - https://doi.org/10.11648/j.optics.20140301.12
    DO  - 10.11648/j.optics.20140301.12
    T2  - Optics
    JF  - Optics
    JO  - Optics
    SP  - 5
    EP  - 11
    PB  - Science Publishing Group
    SN  - 2328-7810
    UR  - https://doi.org/10.11648/j.optics.20140301.12
    AB  - Since one of the most valuable measurable parameters in laser, called  effective cavity lifetime , gives useful information about laser, this paper aims to study the description of  it dependency, τ_ph^eff, on geometrical characteristics of N2-laser, electrodes length and amplifier gap separation. First based on the studies carried out on it , an oscillator-amplifier laser is used which operates under moderate current density conditions; Then in order to obtain a theoretical relation for effective cavity  lifetime  and to demonstrate the mentioned dependency using rate equations, at first a one-dimensional method is used for the photon density. Since the answers of rate equations in an oscillator-amplifier laser are complicated, a single-oscillator based modelis offered to make rate equations simpler. In this model, at first it is supposed that the photon density of inner part of the amplifier could benph (z,t)= nph (0,t) exp (g0(z)z), If nph≅ nph (z,t), then rate equations are used for this density and since g0 is a function of z or amplifier electrode length (Z≅lAMP), the cavity effective life time is calculated for equivalent oscillator.Then ,Since most of studies carried out in one dimension , so for approaching to more actual system a two -dimensional method is used for the photon density. So, we consider Z andY, which Z is along amplifier electrodes length and Y is along gaps separation. Supposing that Z and Y are independent on the photon density, two independent relations can be considered for the photon density. In this step, 2-dimensional photon density could be regarded as:nph (z,y,t) = nph (z,t) nph (y,t) . and then 2-dimensional effective cavity  lifetime amount is obtained as:〖〖(τ〗_eff^ph)〗^(-1)=c/l_AMp  (1+  ץ_l^z+bl_AMp ץ_l^z )+c/d_AMp  (ץ_l^y+ad_AMp ץ_l^y ), This relation includes 2 independent values along the electrodes length (Z≅lAMP) and gap separation (y≅dAMP). It also demonstrates that the obtained 2-dimentional relation represents a perfect schema for lifetime behavior. The results of this calculation are consistent with other reported N2-laser effective cavity lifetime values measured under moderate current density conditions.
    VL  - 3
    IS  - 1
    ER  - 

    Copy | Download

Author Information
  • Department of Physics, Shiraz branch Islamic Azad University, Shiraz, Iran

  • Department of Physics, Shiraz branch Islamic Azad University, Shiraz, Iran

  • Department of Physics, Science and Research Branch, Islamic Azad University, Fars, Iran

  • Sections