OPTICAL PROPERTIES OF SECOND-ORDER CURVES IN ACOUSTICS AND ARCHITECTURAL SYSTEMS

Authors

  • Jabborov M.M. Jabborov M.M. Author
  • Jabborov O.Sh. Jabborov O.Sh. Author

Keywords:

acoustics, whispering gallery, ellipse, parabola, wave front, focal radius, interference, resonance, isogonal property.

Abstract

This article analyzes the practical applications of second-order surfaces — ellipsoids and paraboloids — in acoustics and architecture. The laws of sound wave reflection are proven through the optical properties of ellipses and parabolas. The "Whispering Galleries" effect and the operating principle of parabolic microphones are modeled from a geometric perspective, and solutions to practical problems related to calculating their phase synchronicity and metric dimensions are presented.

Author Biographies

  • Jabborov M.M., Jabborov M.M.

    National Pedagogical University of Uzbekistan named after Nizami, Uzbekistan

  • Jabborov O.Sh., Jabborov O.Sh.

    Student of the Uzbekistan National Pedagogical University named after Nizami, Uzbekistan

References

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Published

2026-05-15

Issue

Vol. 6 No. 1 (2026): UNIVERSAL INSIGHTS CONFERENCE ON SCIENCE AND SOCIETY

Section

Articles