Nonlocal Damping of Helicon Waves

J. R. Houck; R. Bowers

doi:10.1103/PhysRev.166.397

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Nonlocal Damping of Helicon Waves

J. R. Houck^* and R. Bowers^†

Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York

^*National Science Foundation predoctoral fellow during much of this work; present address: Center for Radiophysics and Space Research, Cornell University, Ithaca, N.Y.
^†On leave: Office of Science and Technology, Washington, D.C.

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Phys. Rev. 166, 397 – Published 10 February, 1968

DOI: https://doi.org/10.1103/PhysRev.166.397

Abstract

The nonlocal damping of helicon waves propagating in the simple metals is discussed. An approximate dispersion relation is presented which includes the effects of both normal collision damping and nonlocal damping. Two types of experiments designed to measure the damping in sodium and potassium are described. The first type involves measurements of the standing-wave resonances in thin-plate sodium samples. This technique is useful in the regime $ql < 5$ , where $q$ is the helicon wave vector and $l$ is the carrier mean free path. The second type involves transmission experiments using both sodium and potassium. These experiments span the range $4 ≲ ql ≲ 30$ . The experimental results are in close agreement with the theoretical predictions based on the free-electron model.

References (21)

L. Landau, J. Phys. 10, 25 (1946)
D. Pines and J. R. Schrieffer, Phys. Rev. 124, 1387 (1961)
M. T. Taylor, Phys. Rev. 137, A1145 (1965)
R. Bowers and M. C. Steele, Proc. IEEE 52, 1105 (1964)
J. N. Walpole and A. L. McWhorter, Phys. Rev. 158, 708 (1967)
J. D. Jackson, J. Nucl. Energy Pt. C 1, 171 (1960)
S. J. Buchsbaum and P. M. Platzman, Phys. Rev. 154, 395 (1967)
E. A. Kaner and V. G. Skobov, Zh. Eksperim. i Teor. Fiz. 45, 610 (1963) [English transl.: Soviet Phys.—JETP 18, 419 (1964)]
M. H. Cohen, M. J. Harrison, and A. W. Harrison, Phys. Rev. 17, 937 (1960)
J. R. Houck, Ph.D. thesis, Cornell University, 1967 (unpublished)
Omitted endnote
C. C. Grimes, Bull. Am. Phys. Soc. 11, 570 (1965)
J. R. Houck and R. Bowers, Bull. Am. Phys. Soc. 11, 256 (1965) Atomic Energy Commission Report No. NYO-2150-15 (unpublished)
C. C. Grimes and A. Libchaber Bull. Am. Phys. Soc. 12, 771 (1967)
F. E. Rose, Ph.D. thesis, Cornell University, 1965 (unpublished)
R. G. Chambers and B. K. Jones, Proc. Roy. Soc. (London) A270, 417 (1962)
P. A. Penz, Ph.D. thesis 1967 (unpublished Materials Science Center, Cornell University Report No. 440, 1966 (unpublished)
F. E. Rose, M. T. Taylor, and R. Bowers, Phys. Rev. 127, 1122 (1962)
C. C. Grimes and S. J. Buchsbaum, Phys. Rev. Letters 12, 357 (1964)
Omitted endnote
D. Shoenberg and P. J. Stiles, Proc. Roy. Soc. (London) A281, 62 (1964)

[c1] L. Landau, J. Phys. 10, 25 (1946)

[c2] D. Pines and J. R. Schrieffer, Phys. Rev. 124, 1387 (1961)

[c3] M. T. Taylor, Phys. Rev. 137, A1145 (1965)

[c4] R. Bowers and M. C. Steele, Proc. IEEE 52, 1105 (1964)

[c5] J. N. Walpole and A. L. McWhorter, Phys. Rev. 158, 708 (1967)

[c6] J. D. Jackson, J. Nucl. Energy Pt. C 1, 171 (1960)

[c7] S. J. Buchsbaum and P. M. Platzman, Phys. Rev. 154, 395 (1967)

[c8] E. A. Kaner and V. G. Skobov, Zh. Eksperim. i Teor. Fiz. 45, 610 (1963) [English transl.: Soviet Phys.—JETP 18, 419 (1964)]

[c9] M. H. Cohen, M. J. Harrison, and A. W. Harrison, Phys. Rev. 17, 937 (1960)

[c10] J. R. Houck, Ph.D. thesis, Cornell University, 1967 (unpublished)

[c11] Omitted endnote

[c12] C. C. Grimes, Bull. Am. Phys. Soc. 11, 570 (1965)

[c13] J. R. Houck and R. Bowers, Bull. Am. Phys. Soc. 11, 256 (1965) Atomic Energy Commission Report No. NYO-2150-15 (unpublished)

[c14] C. C. Grimes and A. Libchaber Bull. Am. Phys. Soc. 12, 771 (1967)

[c15] F. E. Rose, Ph.D. thesis, Cornell University, 1965 (unpublished)

[c16] R. G. Chambers and B. K. Jones, Proc. Roy. Soc. (London) A270, 417 (1962)

[c17] P. A. Penz, Ph.D. thesis 1967 (unpublished Materials Science Center, Cornell University Report No. 440, 1966 (unpublished)

[c18] F. E. Rose, M. T. Taylor, and R. Bowers, Phys. Rev. 127, 1122 (1962)

[c19] C. C. Grimes and S. J. Buchsbaum, Phys. Rev. Letters 12, 357 (1964)

[c20] Omitted endnote

[c21] D. Shoenberg and P. J. Stiles, Proc. Roy. Soc. (London) A281, 62 (1964)

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Nonlocal Damping of Helicon Waves

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