Kawaguchi space, Zermelo's condition and seismic ray path

T. Yajima, H. Nagahama

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


Based on Kawaguchi space, a seismic ray path through an anisotropic medium corresponds to an arclength under Zermelo's condition. From a special function in Kawaguchi space, we obtain some Finslerian metrics (mth root metric or 1-form metric). Considering a variational problem of the seismic ray, Snell's law is derived from Euler's vector, and envelopes of seismic wavefront are classified by m-values in seismic Finsler metric. Moreover, we discuss the relation between Kawaguchi space and another ray theory.

Original languageEnglish
Pages (from-to)130-135
Number of pages6
JournalNonlinear Analysis: Real World Applications
Issue number1
Publication statusPublished - 2007 Feb


  • Higher-order geometry
  • Seismic ray
  • Snell's law
  • mth root metric

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics


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