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Strong curvature effects in Neumann wave problems

American Institute of Physics
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  • Waveguide Phenomena Play A Major Role In Basic Sciences And Engineering
  • The Helmholtz Equation Is The Governing Equation For The Electric Field In Electromagnetic Wave Prop
  • The Schro¨Dinger Equation Simplifies To The Helmholtz Equation For A Quantum-Mechanical Particle Con
  • With This In Mind And The Interest To Tailor Waveguides Towards A Desired Spectrum And Modal Pattern
  • It Becomes Increasingly Important To Understand The Influence Of Curvature Effects In Waveguides
  • In This Work
  • We Demonstrate Analytically Strong Curvature Effects For The Eigenvalue Spectrum Of The Helmholtz Eq
  • It Is Found That The Linear-In-Curvature Contribution Originates From Parity Symmetry Breaking Of Ei
  • The Same Strong Curvature Effect Is Not Present In Waveguides Subject To Dirichlet Boundary Conditio
  • We Demonstrate This Finding By Considering Wave Propagation In A Circular-Sector Torus Corresponding
  • Respectively
  • Results For Relative Eigenfrequency Shifts And Modes Are Determined And Compared With Three-Dimensio
  • Good Agreement Is Found Between The Present Analytical Method Using A Combination Of Differential Ge


Strong curvature effects in Neumann wave problems - DTU Orbit (25/04/14) Strong curvature effects in Neumann wave problems - DTU Orbit (25/04/14) Strong curvature effects in Neumann wave problems Willatzen, M., Pors, A. & Gravesen, J. 2012 In : Journal of Mathematical Physics. 53, 8, p. 083507 16 p. Publication: Research - peer-review › Journal article – Annual report year: 2012

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