We study the transmission of electromagnetic waves propagating in three-dimensional disordered photonic crystals that are periodic on the average with a diamond symmetry. The transmission has been calculated using the transfer matrix method. We study two different geometries for the scatterers: spheres and rods connecting nearest neighbors. We find that the gaps of the periodic structure surviv...

C. F. Huang, S. D. Chao, and D. R. Hang 1Department of Physics, National Taiwan University, Taipei, Taiwan, R. O. C. 2National Measurement Laboratory, Center for Measurement Standards, Industrial Technology Research Institute, Hsinchu, Taiwan 300, R. O. C. 3 Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan, R. O. C. 4 Department of Materials Science and Optoelectronic ...

We present a transfer matrix method which is particularly useful for solving some classes of sandpile models. The method is then used to solve the de-terministic nonabelian sandpile models for N=2 and N=3. The possibility of generalization to arbitrary N is discussed briefly.

In this note we give necessary and sufficient conditions in the frequency domain for rational matrices to be strictly positive real. Based on this result, the matrix form of the Lefschetz-KalmanYakubovich lemma i s proved, which gives necessary and sufficient conditions for strictly positive real transfer matrices in the state-space realization form.

Many algorithms have been developed for enumerating various combinatorial objects in time exponentially less than the number of objects. Two common classes of algorithms are dynamic programming and the transfer matrix method. This paper covers the design and implementation of such algorithms. A host of general techniques for improving efficiency are described. Three quite different example prob...

We construct the transfer matrix for the ghost sector of partially quenched QCD. This transfer matrix is not hermitian, but we show that it is still bounded. We thus expect that all euclidean correlation functions will decay exponentially with distance (up to possible powers), and demonstrate that this is indeed the case for free ghost quarks.

Nonnegative Matrix Factorization (NMF) has received considerable attention due to its psychological and physiological interpretation of naturally occurring data whose representation may be partsbased in the human brain. However, when labeled and unlabeled images are sampled from different distributions, they may be quantized into different basis vector space and represented in different coding ...

It was recently recognized that the internal structure of scatterers can significantly alter the picture of wave propagation and localization in random media. When the size of scatterers cannot be neglected, scattering is anisotropic and a ‘‘dwell time’’ for waves appears in addition to the time of flight between scattering. This substantially modifies such parameters describing wave propagatio...

According to cohen venavi, a classic Hebrew essay by Ekhad Ha-Am, there are two ways of serving God: Priest and Prophet. The priest is a very skilled technician who knows by heart the 613 mitzvahs, and who can slaughter a lamb with due regard to the many rigorous and subtle laws. On the other hand, a prophet is often very clumsy in the day-to-day ritual, and is unable to sacrifice an animal pro...

The symmetry of the Hamiltonian describing the asymmetric twin model was partially studied in earlier works, and our aim here is to generalize these results for the open transfer matrix. In this spirit we first prove, that the so called boundary quantum algebra provides a symmetry for any generic – independent of the choice of model – open transfer matrix with a trivial left boundary. In additi...