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

S. N. Hosseinimotlagh; M. T. Yazdani; H. Zare

doi:doi:10.11648/j.optics.20140301.12

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

S. N. Hosseinimotlagh, M. T. Yazdani, H. Zare

Published in Optics (Volume 3, Issue 1)

Received: 5 March 2014 Accepted: 12 April 2014 Published: 10 May 2014

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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), 2024. Published by Science Publishing Group

Keywords

Laser, Photon, Nitrogenic, Lifetime, Effective

References

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[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.

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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

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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

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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

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@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}
}

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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  -

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Author Information

S. N. Hosseinimotlagh

Department of Physics, Shiraz branch Islamic Azad University, Shiraz, Iran
M. T. Yazdani

Department of Physics, Shiraz branch Islamic Azad University, Shiraz, Iran
H. Zare

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

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Plain Text BibTeX RIS

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

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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

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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  -

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