Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T04:40:42.812Z Has data issue: false hasContentIssue false

Geometrical effects in X-mode scattering

Published online by Cambridge University Press:  13 March 2009

N. Bretz
Affiliation:
Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08544

Abstract

One technique to extend microwave scattering as a probe of long-wavelength density fluctuations in magnetically confined plasmas is to consider the launching and scattering of extraordinary (X-mode) waves nearly perpendicular to the field. When the incident frequency is less than the electron cyclotron frequency, this mode can penetrate beyond the ordinary mode cut-off at the plasma frequency and avoid significant distortions from density gradients typical of tokamak plasmas. In the more familiar case, where the incident and scattered waves are ordinary, the scattering is isotropic perpendicular to the field. However, because the X-mode polarization depends on the frequency ratios and the ray angle to the magnetic field, the coupling between the incident and scattered waves is complicated. This geometrical form factor must be unfolded from the observed scattering in order to interpret the scattering due to density fluctuations alone. The geometrical factor is calculated here for the special case of scattering perpendicular to the magnetic field. For frequencies above the ordinary-mode cut-off the scattering is relatively isotropic, while below cut-off there are minima in the forward and backward directions which go to zero at approximately half the ordinary-mode cut-off density.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1987

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

Akhiezer, A. I., Prokhoda, I. G. & Sitenko, A. G. 1958 Soviet Phys. JETP, 6, 576.Google Scholar
Akhiezer, A. I., Akhiezer, I. A. & Sitenko, A. G. 1962 Soviet Phys. JETP, 14, 462.Google Scholar
Akhiezer, A. I., Akhiezer, I. A., Polovin, R. V., Sitenko, A. G. & Stepanov, K. N. 1967 Collective Oscillations in a Plasma, ch. V. Pergamon.Google Scholar
Boyd, D. A. 1985 Proceedings of 5th International Workshop on Electron Cyclotron Emission and Electron Cyclotron Heating, San Diego, p. 77. GA Technologies Report GA-A18294.Google Scholar
Brower, D. L., Peebles, W. A., Luhmann, N. C. & Savage, R. L. 1985 Phys. Rev. Lett. 54, 689.CrossRefGoogle Scholar
Costley, A. E. & TFR GROUP 1977 Phys. Rev. Lett. 38, 1477.CrossRefGoogle Scholar
Hutchinson, I. H. & Komm, D. S. 1977 Nucl. Fusion, 17, 1077.CrossRefGoogle Scholar
Kritz, A. H., Hsuan, H., Goldfinger, R. C. & Batchelor, D. B. 1982 Proceedings of 3rd Joint Varenna–Grenoble Intl. Sym., Grenoble, p. 707.Google Scholar
Mazzucato, E. 1982 Phys. Rev. Lett. 48, 1828.CrossRefGoogle Scholar
Simonich, D. M. 1971 Ph.D. Thesis, University of Illinois.Google Scholar
Simonich, D. M. & Yeh, K. C. 1972 Radio Sci. 7, 291.CrossRefGoogle Scholar