1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. Vol. 24, pp. 252-288, 1996. [
DOI:10.1109/27.509991]
2. S. P. Regan, D. K. Bradley, A. V. Chirokikh, R. S. Craxton, D. D. Meyerhofer, W. Seka, R. w. Short, A. Simon, R. P. j. Town, and B. Yaakobi, "Laser-plasma interactions in long-scale-length plasmas under direct-drive National Ignition Facility conditions," Phys. Plasmas. Vol. 6, pp. 2072-2080, 1999. [
DOI:10.1063/1.873716]
3. P. Sprangle, E. Esarey, and J. Krall, "Laser driven electron acceleration in vacuum, gases, and plasmas," Phys. Plasmas. Vol. 3, pp. 2183-2190, 1996. [
DOI:10.1063/1.871673]
4. S.V. Bulanov, I.Zh. Esirkepov, N.M. Naumova, and I.V. Sokolov, "High-order harmonics from an ultraintense laser pulse propagating inside a fiber," Phys. Rev. E. Vol. 67, pp. 016405 (1-4), 2003. [
DOI:10.1103/PhysRevE.67.016405]
5. C. Deutsch, H. Furukawa, K. Mima, M. Murakami, and K. Nishihara, "Interaction Physics of the Fast Ignitor Concept," Phys. Rev. Lett. Vol. 77, pp. 2483-2486, 1996. [
DOI:10.1103/PhysRevLett.77.2483]
6. P. Sprangle, E. Esarey, A. Ting, and G. Joyce, "Laser wakefield acceleration and relativistic optical guiding," Appl. Phys. Lett. Vol. 53, pp. 2146-2148, 1988. [
DOI:10.1063/1.100300]
7. A. S. Sandhu, G. R. Kumar, S. Sengupta, A. Das, and P. K. Law, "Laser-pulse-induced second-harmonic and hard x-ray emission: role of plasma-wave breaking," Phys. Rev. Lett. Vol. 95, pp. 025005 (1-4), 2005. [
DOI:10.1103/PhysRevLett.95.025005]
8. M. Tabak, J. Hammer, M.E. Glinsky, W.L. Kruer, S.C. Wilks, J. Woodworth, E.M. Campbell, M.D. Perry, and R.J. Mason, "Ignition and high gain with ultrapowerful lasers," Phys. Plasmas, Vol. 1, pp. 1626-1634, 1994. [
DOI:10.1063/1.870664]
9. P. Amendt, D.C. Eder, and S.C. Wilks, X-ray "lasing by optical-field-induced ionization," Phys. Rev. Lett. Vol. 66, pp. 2589-2592, 1991. [
DOI:10.1103/PhysRevLett.66.2589]
10. X.R Hong, B.S. Xie, S. Zhang, H.C. Wu, A. Aimidula, X.Y. Zhao, and M.P. Liu, "High quality ion acceleration from a double-layer target dominated by the radiation pressure of a transversely Gaussian laser pulse," Phys.Plasmas. Vol. 17, pp. 103107, 2010. [
DOI:10.1063/1.3503604]
11. G.A. Askar'yan, "Effects of Gradient of a Strong Electromagnetic Beam of Electrons and Atoms," Soviet Physics JETP, Vol. 15, pp. 1088-1090, 1962.
12. A.R. Niknam, M. Hashemzadeh, M.M. Montazeri, "Numerical investigation of the ponderomotive force effect in an underdense plasma with a linear density profile," IEEE Trans. Plasma Sci. Vol. 38, pp. 2390 - 2393, 2010. [
DOI:10.1109/TPS.2010.2053388]
13. M.S. Sodha, L.A. Patel, and S.C Kaushik, "Self-focusing of a laser beam in an inhomogeneous plasma," Plasma Phys. Vol. 21, pp. 1-12, 1979. [
DOI:10.1088/0032-1028/21/1/001]
14. F. Osman, R. Castillo, and H. Hora, "Relativistic and ponderomotive self-focusing at laser-plasma interaction," J. Plasma Phys. Vol. 61, pp. 263-273, 1999. [
DOI:10.1017/S0022377898007417]
15. S. Zare, E. Yazdani, S. Rezaee, A. Anvari and R. Sadighi-Bonabi, "Relativistic self-focusing of intense laser beam in thermal collisionless quantum plasma with ramped density profile," Phys. Rev, Vol. 18, pp. 04130191-7), 2015. [
DOI:10.1103/PhysRevSTAB.18.041301]
16. D.N. Gupta, M.R. Islam, D.G. Jang, H. Suk, and D.A. Jaroszynski, "Self-focusing of a high-intensity laser in a collisional plasma under weak relativistic-ponderomotive nonlinearity," Phys. Plasmas. Vol. 20, pp. 123103 (1-5), 2013. [
DOI:10.1063/1.4838195]
17. T.S. Gill, R. Kaur, and R. Mahajan, "Relativistic self-focusing and self-phase modulation of Cosh-Gaussian laser beam in magnetoplasma," Laser and Particle Beams. Vol. 29, pp. 183-191, 2011. [
DOI:10.1017/S0263034611000152]
18. D.N. Gupta, M.S. Hur, I. Hwang, H. Suk, and A.K. Sharma, "plasma density ramp for relativistic self-focusing of an intense laser," J. Opt. Soc. Am. B. Vol. 24, pp.1155-1159, 2007. [
DOI:10.1364/JOSAB.24.001155]
19. S. Kaur and A.K. Sharma, "Self-focusing of a laser pulse in plasma with periodic density ripple," Laser and Particle Beams. Vol. 27, pp. 193-199, 2009. [
DOI:10.1017/S026303460900010X]
20. N. Kant, S. Saralch, and H. Singh, "Ponderomotive self-focusing of a short laser pulse under a plasma density ramp," Nukleonika, Vol. 56, pp. 149-153, 2011.
21. R. Sadighi-Bonabi, M. Habibi, and E. Yazdani, "Improving the relativistic self-focusing of intense laser beam in plasma using density transition," Phys. Plasmas. Vol. 16, pp. 083105 (1-4), 2009. [
DOI:10.1063/1.3202694]
22. M. Habibi and F. Ghamari, "Non-stationary self-focusing of intense laser beam in plasma using ramp density profile," Physics of Plasmas, Vol. 18, pp. 103107 (1-5), 2011. [
DOI:10.1063/1.3642620]
23. M. Aggarwal and S.V.N. Kant, "Propagation of cosh Gaussian laser beam in plasma with density ripple in relativistic-ponderomotive regime," Optik. Vol. 125, pp. 5081-5084, 2014. [
DOI:10.1016/j.ijleo.2014.04.098]
24. V. Nanda and N. Kant, "strong self-focusing of ChG laser beam in collisionless magnetoplasma of ramped density profile," Phys. Plasmas. Vol. 21, pp. 072111 (1-11), 2014. [
DOI:10.1063/1.4889862]
25. M. Habibi and F. Ghamari, "Relativistic self-focusing of ultra-high intensity X-ray laser beams in warm quantum plasma with upward density profile," Phys. Plasmas. Vol. 21, pp. 052705 (1-6), 2014. [
DOI:10.1063/1.4876751]
26. V. Nanda and N. Kant, "Enhanced relativistic self-focusing of Hermite-cosh-Gaussian laser beam in plasma under density transition," Phys. Plasmas. Vol. 21, pp. 042101 (1-6), 2014. [
DOI:10.1063/1.4870080]
27. S. Kaur, M. Kaur, R. Kaur, and T.S. Gill, "Propagation characteristics of Hermite-cosh-Gaussian laser beam in a rippled density plasma," Laser and Particle Beams, Vol. 35, pp. 100-107, 2017. [
DOI:10.1017/S026303461600080X]
28. H. Kumar, M. Aggarwal, and T.S. Gill, "self-focusing of an elliptic-Gaussian laser beam in relativistic ponderomotive plasma using a ramp density profile," journal of the optical society of America B, Vol. 35, pp. 1635- 1641, 2018. [
DOI:10.1364/JOSAB.35.001635]
29. Y. Wang and Z. Zhou, "Propagation characters of Gaussian laser beams in collisionless plasma: Effect of plasma temperature," Phys. Plasmas. Vol. 18, pp. 043101 (1-6), 2011. [
DOI:10.1063/1.3575629]
30. M. R. J. Milani, A. R. Niknam, and B. Bokaei, "Temperature effect on self-focusing and defocusing of Gaussian laser beam propagation through plasma in weakly relativistic regime," IEEE Trans. Plasma Sci. Vol. 42, pp. 742-747, 2014. [
DOI:10.1109/TPS.2014.2300132]
31. Z. Zhou, Y. Wang, C. Yaun, and Y. Du, "Self-focusing and defocusing of Gaussian laser beams in plasmas with linear temperature ramp," Phys. Plasmas. Vol. 18, pp. 073107 (1-6), 2011. [
DOI:10.1063/1.3609810]
32. H. Rezapour, H. Zahed, and P. Mokhtary, "Self-focusing and defocusing of cosh Gaussian laser beam in the presence of nonlinearity of ponderomotive force and temperature gradient," Chinese Journal of Physics. Vol. 56, pp. 1834-1844, 2018. [
DOI:10.1016/j.cjph.2018.08.004]
33. M.S. Sodha, S.K. Mishra, and S.K. Agarwal, "Self-focusing and cross-focusing of gaussian electromagnetic beams in fully ionized collisional magnetoplasmas," Phys. Plasmas, Vol. 14, pp. 112302 (1-8), 2007. [
DOI:10.1063/1.2801713]
34. H.K. Malik and A.K. Aria, "Microwave and plasma interaction in a rectangular waveguide: effect of ponderomotive force," J. Appl. Phys. Vol. 108, pp. 013109 (1-8), 2010. [
DOI:10.1063/1.3452335]
35. B.K. Pandey, R.N. Agarwal, and V.K. Tripathi, "Tunneling of a relativistic laser pulse through an overdense plasma slab," Phys. Lett. A. Vol. 349, pp. 245-249, 2006. [
DOI:10.1016/j.physleta.2005.08.072]
36. V.B. Pathaka and V.K. Tripathi, "Nonlinear electromagnetic plasma eigenmodes and their stability to stimulated Raman scattering," Phys.Plasmas. Vol. 13, pp. 082105, 2006. [
DOI:10.1063/1.2234647]
37. A.V. Borovsky, A.L. Galkin, O.B. Shiryaev, and T. Auguste, Laser Physics at Relativistic Intensities, Springer-Verlag, Berlin, 2003. [
DOI:10.1007/978-3-662-05242-6]
38. S.A. Akhmanov, A.P. Sukhorukov, and R.V. Khokhlov, "Self-focusing and diffraction of light in a Nonlinear medium," Sov. Phys. Usp. Vol. 10, pp. 609-636, 1968. [
DOI:10.1070/PU1968v010n05ABEH005849]
39. M.S. Sodha and V.K. Tripathi, "Nonlinear penetration of an inhomogeneous laser beam in an overdense plasma," Phys. Rev. A. Vol. 16, pp. 2101-2104, 1977. [
DOI:10.1103/PhysRevA.16.2101]
40. S.K. Agarwal and M.S. Sodha, "Steady-state self-focusing of Gaussian electromagnetic beams in an inhomogeneous nonlinear medium: Effect of absorption and initial curvature of the beam," Optik. Vol. 118, pp. 367-372, 2007. [
DOI:10.1016/j.ijleo.2006.04.011]
41. S. Sen, B. Rathore, M. Varshney (Asthana), and D. Varshney, "Nonlinear propagation of intense electromagnetic beams with plasma density ramp function," J. Phys. Conf. Ser, Vol. 208, pp. 012088 (1-6), 2010. [
DOI:10.1088/1742-6596/208/1/012088]