Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-27T23:13:07.689Z Has data issue: false hasContentIssue false

Relativistic-ponderomotive effects on cross-focusing of hollow Gaussian laser beams in plasma

Published online by Cambridge University Press:  29 October 2015

Prerana Sharma*
Affiliation:
Department of Physics, Ujjain Engineering College, Ujjain, M.P. 456010, India
*
Address correspondence and reprint requests to: Prerana Sharma, Department of Physics, Ujjain Engineering College, Ujjain 456010, MP, India. E-mail: [email protected]

Abstract

The present work aims to study the influence of relativistic–ponderomotive effects on cross-focusing of two co-propagating high-power hollow Gaussian laser beams [high-power laser beams (HGLBs)] in collisionless plasma. The effective dielectric constant has been derived on account of relativistic–ponderomotive nonlinearity. The phenomenon of cross-focusing for higher-order modes of HGLB is compared for the case when only relativistic nonlinearity is operative in the system and it is seen that the relativistic–ponderomotive effects make the focusing much stronger and relatively faster. The critical curves for various order of HGLB is discussed and compared with the case when only ponderomotive nonlinearity is present and it reveals that in the case of relativistic–ponderomotive case the spot size reduces effectively. The higher-order modes of propagation of HGLB are also found to be governed by the parameter of another propagating HGLB. The present study is useful in determining the propagation dynamics of HGLB.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Akhmanov, A.S., Sukhorukov, A.P. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a nonlinear medium. Sov. Phys. — Usp. 10, 609636.CrossRefGoogle Scholar
Bingham, R. (2006). Basic concepts in plasma accelerators. Phil. Trans. R. Soc. A 364, 559.CrossRefGoogle ScholarPubMed
Brandi, H.S., Manus, C., Mainfray, G. & Lehner, T. (1993 a). Relativistic self-focusing of ultra-intense laser pulses in inhomogeneous under dense plasmas. Phys. Rev. E 47, 3780.CrossRefGoogle Scholar
Brandi, H.S., Manus, C. & Mainfray, G. (1993 b). Relativistic and ponderomotive self-focusing of a laser beam in a radially inhomogeneous plasma. I. Paraxial approximation. Phys. Fluids B 5, 3539.CrossRefGoogle Scholar
Cai, Y. & He, S. (2006). Propagation of hollow Gaussian beams through apertured paraxial optical systems. J. Opt. Soc. Am. A 23, 1410.CrossRefGoogle ScholarPubMed
Cai, Y., Lu, X. & Lin, Q. (2003). Hollow Gaussian beam and their propagation properties. Opt. Lett. 28, 1084.CrossRefGoogle ScholarPubMed
Esarey, E., Ting, A. & Sprangle, P. (1988). Relativistic focusing and beat wave phase velocity control in the plasma beat wave accelerator. Appl. Phys. Lett. 53, 1266.CrossRefGoogle Scholar
Gerdova, X., Zhang, H. & Hache, A. (2006). Optically tunable hollow Gaussian beams using thin metal films – art. no. 63432B. J. Opt. Soc. Am. 23, 19341937.CrossRefGoogle Scholar
Gill, T.S., Mahajan, R. & Kaur, R. (2010). Relativistic and ponderomotive effects on evolution of dark hollow Gaussian electromagnetic beams in a plasma. Laser Part. Beams 28, 521529.CrossRefGoogle Scholar
Gupta, R., Sharma, P., Rafat, M. & Sharma, R.P. (2011). Cross-focusing of two hollow Gaussian laser beam in plasma. Laser Part. Beams 29, 227230.CrossRefGoogle Scholar
Hora, H. (1970). Self-focusing and nonlinear acceleration process in laser produced plasma. Opto-Electronics (London) 2, 201.CrossRefGoogle Scholar
Iwata, N. & Kishimoto, Y. (2014). Higher-order nonlocal effects of a relativistic ponderomotive force in high-intensity laser fields. Phys. Rev. Lett. 112, 035002.CrossRefGoogle ScholarPubMed
Kalmykov, S., Yi, S.A. & Shvets, G. (2009). All-optical control of nonlinear focusing of laser beams in plasma beat wave accelerator. Plasma Phys. Control. Fusion 51, 024011.CrossRefGoogle Scholar
Mora, P. (2009). Particle acceleration in ultra-intense laser plasma interaction. Eur. Phys. J. Spec. Top. 175, 97.CrossRefGoogle Scholar
Ovchinnikov, YU.B., Manek, I. & Grimm, R. (1997). Surface trap of Cs atoms based on evanescent wave cooling. Phys. Rev. Lett. 79, 2225.CrossRefGoogle Scholar
Patil, S.D., Takale, M.V., Navare, S.T. & Dongare, M.B. (2010). Focusing of Hermite-cosh-Gaussian laser beams in collisionless magneto plasma. Laser Part. Beams 28, 343349.CrossRefGoogle Scholar
Purohit, G., Chauhan, P.K. & Pandey, H.D. (2005). Effect of relativistic mutual interaction of two laser beams on the growth of laser ripple in plasma. Laser Part. Beams 23, 69.CrossRefGoogle Scholar
Rawat, P., Singh, R.K., Sharma, R.P. & Purohit, G. (2014). Effects of relativistic and ponderomotive nonlinearities on the beat wave generation of electron plasma wave and particle acceleration in nonparaxial region. Eur. Phys. J. D 68, 57.CrossRefGoogle Scholar
Sharma, A., Sodha, M.S., Misra, S. & Misra, S.K. (2013). Thermal defocusing of intense hollow Gaussian laser beams in atmosphere. Laser Part. Beams 31, 403410.CrossRefGoogle Scholar
Sharma, R.P. & Singh, R.K. (2013). Stimulated Brillouin backscattering of filamented hollow Gaussian beams. Laser Part. Beams 31, 387.CrossRefGoogle Scholar
Singh, M., Singh, R.K., Sharma, R.P. (2013). THz generation by cosh-Gaussian lasers in a rippled density plasma. Eur. Phys. Lett. 104, 35002.CrossRefGoogle Scholar
Singh, R.K. & Sharma, R.P. (2013). Stimulated Brillouin backscattering of filamented hollow Gaussian beams. Laser Part. Beams 31, 689696.CrossRefGoogle Scholar
Sodha, M.S., Misra, S.K. & Misra, S. (2009 a). Focusing of dark hollow Gaussian electromagnetic beams in a plasma. Laser Part. Beams 27, 5768.CrossRefGoogle Scholar
Sodha, M.S., Misra, S.K. & Misra, S. (2009 b). Focusing of a dark hollow Gaussian electromagnetic beam in a magneto plasma. J. Plasma Phys. 75, 731748.CrossRefGoogle Scholar
Xu, X., Wang, Y. & Jhe, W. (2000). Theory of atom guidance in a hollow laser beam: Dressed-atom approach. J. Opt. Soc. Am. B 17, 1039.CrossRefGoogle Scholar
Yin, J., Gao, W., Wang, H., Long, Q. & Wang, Y. (2002). Generations of dark hollow Gaussian beams and their applications in laser cooling of atoms and all optical type Bose Einstein condensation. Chin. Phys. 11, 1157.Google Scholar