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Scalar waves in a wormhole geometry | Phys. Rev. D

The reflection and transmission of massless scalar waves in the curved background geometry of a typical Lorentzian wormhole (in 2+1 and 3+1 dimensions) are discussed. Using the exact solutions which involve modified Mathieu (in 2+1 dimensions) and radial oblate spheroidal (in 3+1 dimensions) functions, explicit analytic expressions are obtained for the reflection and transmission coefficients at specific values of the quantity $\ensuremath{\omega}{b}_{0}$ ($\ensuremath{\omega}$ being the energy of the scalar wave and ${b}_{0}$ the throat radius of the wormhole). It is found that both near-perfect reflection as well as transmission are possible for specific choices of certain parameters.

· Physical Review D· published 1/15/1994· archived 5/20/2026, 8:33:53 AMscreenshotcached html
Scalar waves in a wormhole geometry | Phys. Rev. D
The reflection and transmission of massless scalar waves in the curved background geometry of a typical Lorentzian wormhole (in 2+1 and 3+1 dimensions) are discussed. Using the exact solutions which involve modified Mathieu (in 2+1 dimensions) and radial oblate spheroidal (in 3+1 dimensions) functions, explicit analytic expressions are obtained for the reflection and transmission coefficients at specific values of the quantity ( being the energy of the scalar wave and the throat radius of the wormhole). It is found that both near-perfect reflection as well as transmission are possible for specific choices of certain parameters.