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solution to four-wave mixing in the reflection geometry utilising the SU (1, 1) group symmetry
Optics Communications, 1992Abstract The four coupled nonlinear differential equations that describe the process of paraxial degenerate four-wave mixing (DFWM) in reflection may be formulated as a single matrix equation. This formulation then allows the identification of the SU (1, 1) group as the underlying symmetry.
A.K. Powell, D.A. Fish, T.J. Hall
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Canadian Journal of Earth Sciences, 1992
Reprocessing of part of a Lithoprobe high-resolution seismic reflection line across the southern part of the Abitibi Belt has improved the imaging of shallow reflections and allowed correlation of the data with surface geology. Enhancement of early reflections was accomplished by focusing on the high-frequency content of the data.
Erick Adam +5 more
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Reprocessing of part of a Lithoprobe high-resolution seismic reflection line across the southern part of the Abitibi Belt has improved the imaging of shallow reflections and allowed correlation of the data with surface geology. Enhancement of early reflections was accomplished by focusing on the high-frequency content of the data.
Erick Adam +5 more
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The geometry of the Hall-Janko group as a quaternionic reflection group
Geometriae Dedicata, 1986The author describes how the Hall-Janko group \(J_ 2\), or rather, its double cover \(2J_ 2\), can be identified with the symmetry group of the icosian Leech lattice L. He gives an interesting correspondence between the maximal subgroups of \(2J_ 2\) and certain geometric figures connected to L.
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GEOMETRY AND COMBINATORICS OF GROUPS GENERATED BY REFLECTIONS
1986The purpose of this paper is to supply geometric proofs of two basic results about general reflection groups, namely Theorem 1. Let W be a reflection group acting on a connected \(C^ 1\)- manifold M, let \(C^+\) be a fundamental chamber, let S be the set of reflections in the walls of \(C^+\) and for s,r\(\in S\) let m(s,r) be the order of sr (possibly
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Mirrors and reflections: the geometry of finite reflection groups
Choice Reviews Online, 2010openaire +1 more source
Point-Reflection Geometries, Geometric K-Loops and Unitary Geometries
Results in Mathematics, 1997Helmut Karzel, Karzel Helmut
exaly