The two-dimensional Helmholtz equation with zero normal derivatives on the boundary is studied using boundary collocation. The frequencies and modes are found for the isosceles triangular and rhombic domains. The solutions are important in predicting the standing waves in containers and also the transverse electric (TE) waves of electromagnetic, optical, and acoustic wave guides.
Frequencies and Modes of the Helmholtz Equation With Zero Normal Derivatives in Isosceles Triangular and Rhombic Domains
Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 29, 2015; final manuscript received March 1, 2016; published online April 18, 2016. Assoc. Editor: Miao Yu.
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Wang, C. Y. (April 18, 2016). "Frequencies and Modes of the Helmholtz Equation With Zero Normal Derivatives in Isosceles Triangular and Rhombic Domains." ASME. J. Vib. Acoust. August 2016; 138(4): 044501. https://doi.org/10.1115/1.4033062
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