Vol. 57
Latest Volume
All Volumes
PIERM 130 [2024] PIERM 129 [2024] PIERM 128 [2024] PIERM 127 [2024] PIERM 126 [2024] PIERM 125 [2024] PIERM 124 [2024] PIERM 123 [2024] PIERM 122 [2023] PIERM 121 [2023] PIERM 120 [2023] PIERM 119 [2023] PIERM 118 [2023] PIERM 117 [2023] PIERM 116 [2023] PIERM 115 [2023] PIERM 114 [2022] PIERM 113 [2022] PIERM 112 [2022] PIERM 111 [2022] PIERM 110 [2022] PIERM 109 [2022] PIERM 108 [2022] PIERM 107 [2022] PIERM 106 [2021] PIERM 105 [2021] PIERM 104 [2021] PIERM 103 [2021] PIERM 102 [2021] PIERM 101 [2021] PIERM 100 [2021] PIERM 99 [2021] PIERM 98 [2020] PIERM 97 [2020] PIERM 96 [2020] PIERM 95 [2020] PIERM 94 [2020] PIERM 93 [2020] PIERM 92 [2020] PIERM 91 [2020] PIERM 90 [2020] PIERM 89 [2020] PIERM 88 [2020] PIERM 87 [2019] PIERM 86 [2019] PIERM 85 [2019] PIERM 84 [2019] PIERM 83 [2019] PIERM 82 [2019] PIERM 81 [2019] PIERM 80 [2019] PIERM 79 [2019] PIERM 78 [2019] PIERM 77 [2019] PIERM 76 [2018] PIERM 75 [2018] PIERM 74 [2018] PIERM 73 [2018] PIERM 72 [2018] PIERM 71 [2018] PIERM 70 [2018] PIERM 69 [2018] PIERM 68 [2018] PIERM 67 [2018] PIERM 66 [2018] PIERM 65 [2018] PIERM 64 [2018] PIERM 63 [2018] PIERM 62 [2017] PIERM 61 [2017] PIERM 60 [2017] PIERM 59 [2017] PIERM 58 [2017] PIERM 57 [2017] PIERM 56 [2017] PIERM 55 [2017] PIERM 54 [2017] PIERM 53 [2017] PIERM 52 [2016] PIERM 51 [2016] PIERM 50 [2016] PIERM 49 [2016] PIERM 48 [2016] PIERM 47 [2016] PIERM 46 [2016] PIERM 45 [2016] PIERM 44 [2015] PIERM 43 [2015] PIERM 42 [2015] PIERM 41 [2015] PIERM 40 [2014] PIERM 39 [2014] PIERM 38 [2014] PIERM 37 [2014] PIERM 36 [2014] PIERM 35 [2014] PIERM 34 [2014] PIERM 33 [2013] PIERM 32 [2013] PIERM 31 [2013] PIERM 30 [2013] PIERM 29 [2013] PIERM 28 [2013] PIERM 27 [2012] PIERM 26 [2012] PIERM 25 [2012] PIERM 24 [2012] PIERM 23 [2012] PIERM 22 [2012] PIERM 21 [2011] PIERM 20 [2011] PIERM 19 [2011] PIERM 18 [2011] PIERM 17 [2011] PIERM 16 [2011] PIERM 14 [2010] PIERM 13 [2010] PIERM 12 [2010] PIERM 11 [2010] PIERM 10 [2009] PIERM 9 [2009] PIERM 8 [2009] PIERM 7 [2009] PIERM 6 [2009] PIERM 5 [2008] PIERM 4 [2008] PIERM 3 [2008] PIERM 2 [2008] PIERM 1 [2008]
2017-05-24
Theoretical Modelling of Modulational Instability of a Lower Hybrid Wave in a Complex Plasma
By
Progress In Electromagnetics Research M, Vol. 57, 63-71, 2017
Abstract
The modulational instability of a lower hybrid wave is investigated in a dusty plasma slab by developing a non-local theory of this four wave parametric interaction process. The immersed dust grains modify the dispersion relation and growth rate expression of low frequency unstable mode. A numerical analysis shows that the frequencies and growth rate of unstable mode is higher in dusty plasma than that in without dust grains. The growth rate of the unstable mode is proportional to pump amplitude and has strong dependence on pump frequency.
Citation
Ajay Gahlot, "Theoretical Modelling of Modulational Instability of a Lower Hybrid Wave in a Complex Plasma," Progress In Electromagnetics Research M, Vol. 57, 63-71, 2017.
doi:10.2528/PIERM17031402
References

1. Wolf, N. S., R. Majeski, H. Lashinky, V. K. Tripathi, and C. S. Liu, "Stabilization of the current-driven electrostatic ion-cyclotron instability by lower-hybrid waves," Phys. Rev. Lett., Vol. 45, No. 10, 799-802, 1980.
doi:10.1103/PhysRevLett.45.799

2. Liu, C. S., V. S. Chan, D. K. Bhandari, and R. W. Harvey, "Theory of run away-current sustainment by lower-hybrid waves," Phys. Rev. Lett., Vol. 48, No. 21, 1479-1482, 1982.
doi:10.1103/PhysRevLett.48.1479

3. Liu, C. S., V. K. Tripathi, V. S. Chan, and V. Stefan, "Density threshold for parametric instability of lower-hybrid waves in tokamaks," Phys. Fluids, Vol. 27, No. 7, 1709-1717, 1984.
doi:10.1063/1.864826

4. Akimoto, K., "Parametric instabilities of Langmuir waves in weak/moderate magnetic fields," Phys. Fluids, Vol. 1, No. 10, 1998-2009, 1989.
doi:10.1063/1.859063

5. Stenflo, L., "Resonant three-wave interactions in plasmas," Phys. Scr., Vol. 15, No. T50, 15-20, 1994.
doi:10.1088/0031-8949/1994/T50/002

6. Sharma, R. P., K. Ramamurthy, and M. Y. Yu, "Parametric excitation of electron acoustic waves," Phys. Fluids, Vol. 27, No. 2, 399-401, 1984.
doi:10.1063/1.864633

7. Saleem, H. and G. Murtaza, "Nonlinear excitation of electron-acoustic waves," Phys. Plasmas, Vol. 36, No. 2, 295-299, 1986.
doi:10.1017/S0022377800011764

8. Tripathi, V. K., C. S. Liu, and C. Grebogi, "Parametric decay of lower hybrid waves in a plasma: Effect of ion nonlinearity," Phys. Fluids, Vol. 22, No. 2, 301-309, 1979.
doi:10.1063/1.862581

9. Liu, C. S. and V. K. Tripathi, "Parametric instabilities in a magnetized plasma," Phys. Reports, Vol. 130, No. 3, 143-216, 1986.
doi:10.1016/0370-1573(86)90108-0

10. Jain, V. K. and P. J. Christiansen, "Excitation of multiple-cyclotron harmonic waves in a thin beam-plasma system," Phys. Lett. A, Vol. 82, No. 3, 127-130, 1981.
doi:10.1016/0375-9601(81)90929-4

11. Jain, V. K. and P. J. Christiansen, "Excitation of electron-cyclotron harmonic wave instabilities in a thin beam-plasma system," Plasma Phys. and Controlled Fusion, Vol. 26, No. 4, 613-616, 1984.
doi:10.1088/0741-3335/26/4/003

12. Praburam, G. and A. K. Sharma, "Second-harmonic excitation of a Gould-Trivelpiece mode in a beam-plasma system," J. Plasma Phys., Vol. 48, No. 1, 3-12, 1992.
doi:10.1017/S0022377800016330

13. Kruer, W. L., The Physics of Laser Plasma Interactions, Addision-Wesley, 1987.

14. Das, K. P. and S. Sihi, "Modulational instability of two transverse waves in a cold plasma," J. Plasma Phys., Vol. 21, No. 1, 183-191, 1979.
doi:10.1017/S0022377800021747

15. Whipple, E. C., T. G. Northdrop, and D. A. Mendis, "The electrostatics of a dusty plasma," J. Geophys. Res., Vol. 90, No. A8, 7405-7413, 1985.
doi:10.1029/JA090iA08p07405

16. Jana, M. R., A. Sen, and P. K. Kaw, "Collective effects due to charge-fluctuation dynamics in a dusty plasma," Phys. Rev. E, Vol. 48, No. 5, 3930-3933, 1993.
doi:10.1103/PhysRevE.48.3930

17. Chow, V. W. and M. Rosenberg, "Electrostatic ion cyclotron instability in dusty plasma," Planetary and Space Science, Vol. 43, No. 5, 613-618, 1995.
doi:10.1016/0032-0633(94)00134-D

18. Chow, V. W. and M. Rosenberg, "A note on the electrostatic ion cyclotron instability in dusty plasmas - Comparison with experiment," Planetary and Space Science, Vol. 44, No. 5, 465-467, 1996.
doi:10.1016/0032-0633(95)00137-9

19. Barkan, A., N. D'Angelo, and R. L. Merlino, "Laboratory experiments on electrostatics ion cyclotron waves in a dusty plasma," Planetary and Space Science, Vol. 43, No. 7, 905-908, 1995.
doi:10.1016/0032-0633(94)00226-H

20. D'Angelo, N., "Low-frequency electrostatic waves in dusty plasmas," Planetary and Space Science, Vol. 38, No. 9, 1143-1146, 1990.
doi:10.1016/0032-0633(90)90022-I

21. Merlino, R. L., A. Barkan, C. Thompson, and N. D'Angelo, "Laboratory studies of waves and instabilities in dusty plasmas," Phys. Plasmas, Vol. 5, No. 5, 1607-1614, 1998.
doi:10.1063/1.872828

22. Song, B., D. Suszcynsky, N. D'Angelo, and R. L. Merlino, "Electrostatic ion-cyclotron waves in a plasma with negative ions," Phys. Fluids B1, Vol. 1, No. 12, 2316-2318, 1989.
doi:10.1063/1.859049

23. Sharma, S. C. and M. P. Srivastava, "Ion beam driven ion-cyclotron waves in a plasma cylinder with negative ions," Phys. Plasmas, Vol. 8, No. 3, 679-686, 2001.
doi:10.1063/1.1336533

24. Sharma, S. C. and A. Gahlot, "Ion beam driven ion-acoustic waves in a plasma cylinder with negative ions," Phys. Plasmas, Vol. 15, No. 7, 0737051-0737056, 2008.
doi:10.1063/1.2949708

25. Sharma, S. C. and A. Gahlot, "Excitation of upper-hybrid waves by a gyrating relativistic electron beam in a magnetized dusty plasma cylinder," Phys. Plasmas, Vol. 16, No. 12, 1237081-1237085, 2009.
doi:10.1063/1.3280024

26. Chow, V. W. and M. Rosenberg, "Electrostatic ion cyclotron instabilities in negative ion plasmas," Phys. Plasmas, Vol. 3, No. 4, 1202-1211, 1996.
doi:10.1063/1.871744

27. Suszcynsky, D. M., N. D'Angelo, and R. L. Merlino, "An experimental study of electrostatic ion cyclotron waves in a two-ion component plasma," J. Geophys. Res., Vol. 94, No. A7, 8966-8972, 1989.
doi:10.1029/JA094iA07p08966

28. Ma, J.-X. and M. Y. Yu, "Self-consistent theory of ion acoustic waves in a dusty plasma," Phys. Plasmas, Vol. 1, No. 11, 3520-3522, 1994.
doi:10.1063/1.870887

29. Vladimirov, S. V., K. N. Ostrikov, and M. Y. Yu, "Ion-acoustic waves in a dust-contaminated plasma," Phys. Rev. E, Vol. 60, No. 3, 3257-3261, 1999.
doi:10.1103/PhysRevE.60.3257

30. Ostrikov, K. N., S. Kumar, and H. Sugai, "Charging and trapping of macroparticles in near-electrode regions of fluorocarbon plasmas with negative ions," Phys. Plasmas, Vol. 8, No. 7, 3490-3497, 2001.
doi:10.1063/1.1375149

31. Vladimirov, S. V., K. Ostrikov, M. Y. Yu, and G. E. Morfill, "Ion-acoustic waves in a complex plasma with negative ions," Phys. Rev. E, Vol. 67, No. 3, 036406-036416, 2003.
doi:10.1103/PhysRevE.67.036406

32. Rosenberg, M., E. Thomas, Jr., and R. L. Merlino, "A note on dust wave excitation in a plasma with warm dust - Comparison with experiment," Phys. Plasmas, Vol. 15, No. 7, 0737011-0737015, 2008.
doi:10.1063/1.2943218

33. Barnes, M. S., J. H. Keller, J. C. Forster, J. A. O'Neill, and D. Keith Coultas, "Transport of dust particles in glow-discharge plasmas," Phys. Rev. Lett., Vol. 68, No. 3, 313-316, 1992.
doi:10.1103/PhysRevLett.68.313

34. Ostrikov, K. N., M. Y. Yu, S. V. Vladimirov, and O. Ishihara, "On the realization of the current-driven dust ion-acoustic instability," Phys. Plasmas, Vol. 6, No. 3, 737-740, 1999.
doi:10.1063/1.873310

35. Ostrikov, K. N., S. V. Vladimirov, M. Y. Yu, and G. E. Morfill, "Low-frequency dispersion properties of plasmas with varible-charge impurities," Phys. Plasmas, Vol. 7, No. 2, 461-465, 2000.
doi:10.1063/1.873831

36. Sharma, S. C. and A. Gahlot, "The effect of dust charge fluctuation on lower-hybrid suppression of drift waves in a magnetized plasma cylinder," Phys. Plasmas, Vol. 17, No. 2, 0237021-0237027, 2010.
doi:10.1063/1.3298737

37. Sharma, S. C. and A. Gahlot, "The effect of dust charge fluctuation on collisional drift waves in a magnetized plasma cylinder," Phys. Plasmas, Vol. 17, No. 2, 0237021-0237027, 2010.
doi:10.1063/1.3298737

38. Ma, J. X. and P. K. Shukla, "Compact dispersion relation for parametric instabilities of electromagnetic waves in dusty plasmas," Phys. Plasmas, Vol. 2, No. 5, 1506-1509, 1995.
doi:10.1063/1.871366

39. Shukla, P. K. and S. V. Vladimirov, "Stimulated scattering of electromagnetic waves in collisional dusty plasmas," Phys. Plasmas, Vol. 2, No. 8, 3179-3183, 1995.
doi:10.1063/1.871450

40. Vladimirov, S. V., "Propagation of waves in dusty plasmas with variable charges on dust particles," Phys. Plasmas, Vol. 1, No. 5, 2762-2767, 1994.
doi:10.1063/1.870511

41. Annou, R. and V. K. Tripathi, "Stimulated scattering of a whistler wave off ion-cyclotron and ion-acoustic modes in a dusty plasma," Phys. Plasmas, Vol. 5, No. 1, 60-62, 1998.
doi:10.1063/1.872675

42. Bingham, R. and C. N. Lashmore-Davies, "On the nonlinear development of the Langmuit modulational instability," Phys. Plasmas, Vol. 21, No. 1, 51-69, 1979.
doi:10.1017/S0022377800021644

43. Murtaza, G. and M. Salahuddin, "Modulational instability of ion acoustic waves in a magnetized plasma," Phys. Plasmas, Vol. 24, No. 1, 451-596, 1982.
doi:10.1088/0032-1028/24/5/001

44. Konar, S., V. K. Jain, and V. K. Tripathi, "Modulational instability of a lower hybrid wave in a plasma slab," J. Appl. Phys., Vol. 65, No. 10, 3798-3801, 1989.
doi:10.1063/1.343392

45. Varma, R. K., P. K. Shukla, and V. Krishan, "Electrostatic oscillation in the presence of grain-charge perturbations in dusty plasmas," Phys. Rev. E, Vol. 47, No. 5, 3612-3616, 1993.
doi:10.1103/PhysRevE.47.3612