What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Geometry
His main research concerns Mathematical analysis, Integral equation, Scattering, Electric-field integral equation and Boundary element method.
His work in the fields of Mathematical analysis, such as Mellin transform, intersects with other areas such as Non-linear least squares.
His study in Integral equation is interdisciplinary in nature, drawing from both Incidence, Vector field, Boundary value problem and Classical mechanics.
His research integrates issues of Grating, Geometry, Method of matched asymptotic expansions, Kondratiev wave and Wind wave in his study of Scattering.
His work carried out in the field of Electric-field integral equation brings together such families of science as Simple, Mechanics and Summation equation.
The concepts of his Boundary element method study are interwoven with issues in Discretization, Smoothness, Variable and Limit.
His most cited work include:
- Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles (300 citations)
- The method of fundamental solutions for scattering and radiation problems (245 citations)
- Reflection and transmission from porous structures under oblique wave attack (199 citations)
What are the main themes of his work throughout his whole career to date?
Paul A. Martin focuses on Mathematical analysis, Scattering, Integral equation, Geometry and Classical mechanics.
Paul A. Martin has included themes like Boundary element method, Displacement and Wavenumber in his Mathematical analysis study.
His Scattering research incorporates elements of Electromagnetic radiation, Diffraction, Acoustic wave and Multipole expansion.
His Integral equation study frequently links to adjacent areas such as Simple.
His Wind wave research extends to Geometry, which is thematically connected.
In his study, Reflection is inextricably linked to Mechanics, which falls within the broad field of Optics.
He most often published in these fields:
- Mathematical analysis (59.69%)
- Scattering (31.63%)
- Integral equation (22.45%)
What were the highlights of his more recent work (between 2011-2021)?
- Mathematical analysis (59.69%)
- Scattering (31.63%)
- Classical mechanics (13.78%)
In recent papers he was focusing on the following fields of study:
Paul A. Martin mostly deals with Mathematical analysis, Scattering, Classical mechanics, Geometry and Work.
Mathematical analysis is closely attributed to Acoustic wave in his work.
He has researched Scattering in several fields, including Cylindrical waveguide, Tube, Reflection and Multipole expansion.
The Classical mechanics study combines topics in areas such as T matrix, Acoustic wave scattering, Spherical coordinate system and Laplace transform.
His Geometry study combines topics from a wide range of disciplines, such as Ring, Gravitational singularity and Hyperbolic partial differential equation.
His Work research includes elements of Concentric, Displacement, Algebraic equation, Bubble and Division.
Between 2011 and 2021, his most popular works were:
- The incompressible limit in linear anisotropic elasticity, with application to surface waves and elastostatics (20 citations)
- Peter Waterman and T-matrix methods (19 citations)
- On acoustic and electric Faraday cages (16 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Geometry
Mathematical analysis, Classical mechanics, Scattering, Helmholtz equation and Acoustic wave scattering are his primary areas of study.
His Mathematical analysis and Wave equation, Exact solutions in general relativity, Separation of variables, Limit and Jacobi polynomials investigations all form part of his Mathematical analysis research activities.
His Classical mechanics study incorporates themes from T matrix, Laplace transform, Radiative transfer and Algebra.
His research in Scattering intersects with topics in Conformal map, Field, Cylinder, Wave function and Rayleigh scattering.
His Helmholtz equation research is multidisciplinary, relying on both Robin boundary condition, Free boundary problem, Mixed boundary condition and Perturbation theory.
The study incorporates disciplines such as Computational physics, Cluster, Cross section, Scattering cross-section and Series in addition to Acoustic wave scattering.
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