All Outputs (2)

Asymptotic solutions of the Helmholtz equation: Generalised Friedlander–Keller ray expansions of fractional order (2018)
Journal Article
Tew, R. H. (2020). Asymptotic solutions of the Helmholtz equation: Generalised Friedlander–Keller ray expansions of fractional order. European Journal of Applied Mathematics, 31(1), 1-25. https://doi.org/10.1017/s095679251800044x

Applications of a WKBJ-type `ray ansatz' to obtain asymptotic solutions of the Helmholtz equation in the high{frequency limit are now standard, and underpin the construction of `geometrical optics' ray diagrams in many electromagnetic, acoustic and e... Read More about Asymptotic solutions of the Helmholtz equation: Generalised Friedlander–Keller ray expansions of fractional order.

Friedlander-Keller ray expansions and scalar wave reflection at canonically-perturbed boundaries (2018)
Journal Article
Tew, R. (2019). Friedlander-Keller ray expansions and scalar wave reflection at canonically-perturbed boundaries. European Journal of Applied Mathematics, 30(1), 1-22. https://doi.org/10.1017/S0956792517000353

This paper concerns the reflection of high-frequency, monochromatic linear waves of wavenumber k (>>1) from smooth boundaries which are O (k-1/2) perturbations away from either a specified near-planar boundary or else from a given smooth, two-dimensi... Read More about Friedlander-Keller ray expansions and scalar wave reflection at canonically-perturbed boundaries.