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Solar cycle variation of p-mode frequencies

Solar cycle variation of p-mode frequencies. Hiromoto Shibahashi (University of Tokyo) The First Far Eastern Workshop on Helioseismology March 15-17, 2003 Korea Institute for Advanced Study. Long-term frequency variation. Dependent on mode frequency Very weak l -dependence

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Solar cycle variation of p-mode frequencies

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  1. Solar cycle variationof p-mode frequencies Hiromoto Shibahashi (University of Tokyo) The First Far Eastern Workshop on Helioseismology March 15-17, 2003 Korea Institute for Advanced Study

  2. Long-term frequency variation • Dependent on mode frequency • Very weak l-dependence • Sudden drop near the acoustic cut-off frequency • High degree l mode analyses

  3. Long-term frequency variation  High degree l p-modes  crit

  4. Wave equation

  5. crit [l(l+1)]1/2c/r c(r) rsource

  6. Basic idea • Variation in c(r) () • Variation in c(r) (/l) • Variation of source layer () for >crit

  7. Quantization condition

  8. Long-term variation for fixed n  

  9. Once c(r) determined, rs can be determined.

  10. Summary • Variation of acoustic potential • Frequency dependence part • Frequency / Degree dependence part • Variation of source layer • Variation in HIP frequency • Magnetic variation • Irradiance variation

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