41,335 research outputs found
Properties of length-apodized phase-shifted lpgs operating at the phase matching turning point
The characteristics of length-apodized phase-shifted fiber optic long period
gratings with full and partial nanostructured coatings have been explored
theoretically and experimentally. The twin rejection bands that are
characteristic of length-apodized phase-shifted long period gratings are studied
for a long period grating (LPG) operating at the phase matching turning point.
When one half of the length of the LPG is coated, complex bandgap like structure
appears within the transmission spectrum, which may be of benefit to spectral
filter design and for sensing applications
Energy conservation and the constitutive relations in chiral and non-reciprocal media
We consider the possibility that the chirality parameters and the non-reciprocity parameters appearing in the constitutive relations for the displacement and magnetic induction fields in a bi-isotropic medium might not be equal and thereby shed light on the physical significance of the fact that they are the same. We find, in particular, that they must be equal in order to retain the local conservation of energy
Reply to comment on `Energy conservation and the constitutive relations in chiral and non-reciprocal media'
We respond to the comment by Mackay and Lakhtakia on our paper. These authors have missed the simple point that our chirality and non-reciprocity parameters are real. The 'inconsistency' claimed by them emerges from their incorrect attempt to apply our results instead to complex chirality and non-reciprocity parameters
Illinois Waterfowl Surveys and Investigations, W-43-R-42, Annual Federal Aid Performance Report 1 July 1993 through 30 June 1994
Annual Federal Aid Performance Report W-43-R(S1) -38, 1 July 1989 through 30 June 1990;
Study 104: Aerial Censuses of Waterfowl.Report issued on: 15 August 1994INHS Technical Report prepared for Illinois Department of Conservatio
Efficient quantum processing of ideals in finite rings
Suppose we are given black-box access to a finite ring R, and a list of
generators for an ideal I in R. We show how to find an additive basis
representation for I in poly(log |R|) time. This generalizes a recent quantum
algorithm of Arvind et al. which finds a basis representation for R itself. We
then show that our algorithm is a useful primitive allowing quantum computers
to rapidly solve a wide variety of problems regarding finite rings. In
particular we show how to test whether two ideals are identical, find their
intersection, find their quotient, prove whether a given ring element belongs
to a given ideal, prove whether a given element is a unit, and if so find its
inverse, find the additive and multiplicative identities, compute the order of
an ideal, solve linear equations over rings, decide whether an ideal is
maximal, find annihilators, and test the injectivity and surjectivity of ring
homomorphisms. These problems appear to be hard classically.Comment: 5 page
- …