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Direct Acoustic Scattering Problems

In: Numerical Methods for Inverse Scattering Problems

Author

Listed:
  • Jingzhi Li

    (Southern University of Science and Technology, Department of Mathematics)

  • Hongyu Liu

    (City University of Hong Kong, Department of Mathematics)

Abstract

We consider the propagation of acoustic waves in a medium in $$\mathbb {R}^{N},(N=2,3)$$ R N , ( N = 2 , 3 ) . Let $$x\in \mathbb {R}^N$$ x ∈ R N and $$t\in \mathbb {R}_+$$ t ∈ R + be the space and time variables, respectively. Let U(x, t) signify the wave field (i.e. the displacement away from the equilibrium state) and let c(x), $$\sigma (x)$$ σ ( x ) and $$\rho (x)$$ ρ ( x ) denote the wave velocity, damping coefficient and the mass density of the medium, respectively.

Suggested Citation

  • Jingzhi Li & Hongyu Liu, 2023. "Direct Acoustic Scattering Problems," Springer Books, in: Numerical Methods for Inverse Scattering Problems, chapter 0, pages 5-28, Springer.
    • Handle: RePEc:spr:sprchp:978-981-99-3772-1_2
    DOI: 10.1007/978-981-99-3772-1_2
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