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- Short-Wavelength Diffraction Theory - Asymptotic Methods | Vasili M. Babic | Springer;
- 1. Introduction.
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- Short-Wavelength Diffraction Theory!
- Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers.

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Citing Literature. Petersburg Symposium on Electromagnetic Theory. Related Information. Close Figure Viewer. Browse All Figures Return to Figure. Previous Figure Next Figure. Journal list menu Journal. Log in with your society membership Log in with AGU. Email or Customer ID. Forgot password?

### Asymptotic Methods

Laporte and P. An introduction. Zafarullah , Scalar wave diffraction by tangent rays, Wave Motion , 32 , Cambridge University Press, Cambridge, Reprint of the second edition. Download as PowerPoint slide.

Michael V. A phaseless inverse scattering problem for the 3-D Helmholtz equation. Pedro Caro.

On an inverse problem in electromagnetism with local data: stability and uniqueness. Frank Jochmann. A singular limit in a nonlinear problem arising in electromagnetism. Pedro M. Jordan , Barbara Kaltenbacher. Arjuna Flenner , Gary A. Hewer , Charles S. Two dimensional histogram analysis using the Helmholtz principle. Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid. Cristian A. Asymptotic analysis of a two--dimensional coupled problem for compressible viscous flows. Qiang Du , Jingyan Zhang. Asymptotic analysis of a diffuse interface relaxation to a nonlocal optimal partition problem.

An anisotropic perfectly matched layer method for Helmholtz scattering problems with discontinuous wave number. Asymptotic analysis for the 3D primitive equations in a channel.

Akisato Kubo. Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations. Xiaohai Wan , Zhilin Li. Some new finite difference methods for Helmholtz equations on irregular domains or with interfaces. Jie Wang , Xiaoqiang Wang. New asymptotic analysis method for phase field models in moving boundary problem with surface tension. Asymptotic analysis of a perturbed parabolic problem in a thick junction of type Mikaela Iacobelli.

Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem. Barbara Kaltenbacher. Mathematics of nonlinear acoustics. Michele Di Cristo. Stability estimates in the inverse transmission scattering problem. Amadeu Delshams , Josep J. Computing the scattering map in the spatial Hill's problem. A decomposition method for an interior inverse scattering problem. Chiun-Chang Lee. Asymptotic analysis of charge conserving Poisson-Boltzmann equations with variable dielectric coefficients.

American Institute of Mathematical Sciences. Previous Article Ergodic properties of folding maps on spheres. Keywords: Electromagnetism , acoustics , Helmholtz equations , scattering problem , asymptotic analysis. Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers. References: [1] M. Google Scholar [2] I. Google Scholar [3] V. Google Scholar [4] A.

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## Tangent ray diffraction and the Pekeris caret function

Google Scholar [5] A. Google Scholar [6] A. Google Scholar [7] A. Google Scholar [8] D. Google Scholar [9] R. Google Scholar [10] S. MR Zbl Babich et V. Buldyrev - Short wavelength diffraction theory, asymptotic methods , Wave phenomena , vol. Bardos , J. Guillot et J.

Lax et R. Phillips - The time delay operator and a related trace formula , Topics in functional analysis, Advances in Math. Studies 47 , no.

## An asymptotic theory for waves guided by diffraction gratings or along microstructured surfaces

Lazutkin - Kam theory and semiclassical approximation to eigenfunctions , Ergebnisse der Mathematik und ihree Grenzgebiete, vol. Melrose - Scattering theory and the trace of the wave group , Jour.

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Melrose - Polynomial bounds on the number of scattering poles , Jour.