We examine the d i s to r t ion of a simple l inear ly polarised Gaussian beam on r e f l ec t i on from an of f -axis e l l i p s o i d a l m i r r o r . E x p r e s s i o n s a r e d e r i v e d f o r t h e d i s t o r t e d r e f l e c t e d f i e l d s and f o r t h e l o s s of power i n t o h i g h e r o r d e r and c r o s s p o l a r i s e d modes .

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. pISSN 1011-8934 eISSN 1598-6357 Dr. LEE Jong-wook-Seoul Project – Successful Korean Version ...

We consider the complex plane C as a space filled by two different media, separated by the real axis R. We define H+ = {z : = z > 0} to be the upper half-plane. For a planar body E in C, we discuss a problem of estimating characteristics of the “invisible” part, E− = E \H+, from characteristics of the whole body E and its “visible” part, E+ = E ∩ H+. In this paper, we find the maximal draft of ...

An exact meet in a lattice is a special type of infimum characterized by, inter alia, distributing over finite joins. In frames, the requirement that a meet is preserved by all frame homomorphisms makes for a slightly stronger property. In this paper these concepts are studied systematically, starting with general lattices and proceeding through general frames to spatial ones, and finally to an...

" By giving a name to something, you acquire power over it " (one of " Scott's Laws " proposed by the late Professor Bernard Scott, Sussex University)

We construct second order reductions of the generalized Witten-DijkgraafVerlinde-Verlinde system based on simple Lie algebras. We discuss to what extent some of the symmetries of the WDVV system are preserved by the reduction. MSC Subj. Class. 2000: 35C05, 81T60

This paper constructs a macro-finance model for commodity futures. I document a feedback relationship between crude oil prices and real economic activity. The channel from real activity to oil prices is unspanned – meaning not identified in current futures prices – consistent with oil futures as a hedge asset against supply shocks. Unspanned macroeconomic risks have first order effects on risk ...