Two-dimensional optical lattice solitons

We study various families of two-dimensional discrete or lattice solitons, and show that they are possible only when their power level exceeds a critical threshold. In addition, we show that gap-lattice solitons exist only when the lattice possesses a complete 2D band gap. Our results suggest that these conditions are universally valid, irrespective of the nature of the nonlinearity or the specific structure of the index lattice. The analysis explains fundamental aspects of behavior of two-dimensional discrete solitons that have been very recently observed in photosensitive optical crystals.     

Existence and characterization of efficient decisions with respect to cones

Existence and characterization theorems for the efficient (nondominated) set of decisions inR ⁿ are presented. The existence is proved when the set of decisions satisfies some compactness conditions. The efficient set is characterized in terms of the exposed efficient decisions when certain convexity and compactness conditions are satisfied.     

J-plane structure of the “cylinder”; slope and intercept of the bare pomeron

We derive and investigate an integral equation for the “cylinder” with full t-dependence. In contrast to the pure pole planar model, the “cylinder” contains, in addition to the bare pomeron pole, also a Reggeon-Reggeon cut. The strongly correlated slope and intercept of the bare pomeron have the correct observed values. We also briefly comment on the concept of “asymptotic planarity”.     

Coupling of protonation switches during rhodopsin activation

Recent studies of the activation mechanism of rhodopsin involving Fourier-transform infrared spectroscopy and a combination of chromophore modifications and site-directed mutagenesis reveal an allosteric coupling between two protonation switches. In particular, the ring and the 9-methyl group of the all-trans retinal chromophore serve to couple two proton-dependent activation steps: proton uptake by a cytoplasmic network between transmembrane (TM) helices 3 and 6 around the conserved ERY (Glu-Arg-Tyr) motif and disruption of a salt bridge between the retinal protonated Schiff base (PSB) and a protein counterion in the TM core of the receptor. Retinal analogs lacking the ring or 9-methyl group are only partial agonists--the conformational equilibrium between inactive Meta I and active Meta II photoproduct states is shifted to Meta I. An artificial pigment was engineered, in which the ring of retinal was removed and the PSB salt bridge was weakened by fluorination of C14 of the retinal polyene. These modifications abolished allosteric coupling of the proton switches and resulted in a stabilized Meta I state with a deprotonated Schiff base (Meta I(SB)). This state had a partial Meta II-like conformation due to disruption of the PSB salt bridge, but still lacked the cytoplasmic proton uptake reaction characteristic of the final transition to Meta II. As activation of native rhodopsin is known to involve deprotonation of the retinal Schiff base prior to formation of Meta II, this Meta I(SB) state may serve as a model for the structural characterization of a key transient species in the activation pathway of a prototypical G protein-coupled receptor.     

"Competitive quenching": a mechanism by which perihydroxylated perylenequinone photosensitizers can prevent adverse phototoxic damage caused by verteporfin during photodynamic therapy

Incorporation of photodynamic therapy into clinical practice for induction of vascular photo-occlusion highlights the need to prevent adverse phototoxicity to sensitive juxtaposed tissues, particularly in the retina. We developed a system termed "competitive quenching" to prevent adverse phototoxic damage. It involves differential compartmentalization of a photoactivator to the intravascular compartment for photoexcitation and delivery of phototoxicity to targeted vessels. A different photodynamic agent is partitioned to the extravascular retinal space to quench reactive oxygen species generated by photosensitization, thereby protecting the adjacent retinal tissues from adverse phototoxicity. The absorption spectra of quenchers must span wavelengths that are shorter and excluded from the spectral range of photoexcitation light to prevent photoactivation of the quencher. Perihydroxylated perylenequinones were found to be suitable to function as "competitive quenchers" with the prototype hypericin identified as a potent quencher. Here we examined the mechanisms operative in competitive quenching and suggest that hypericin forms a complex with verteporfin, thereby quenching singlet oxygen formation. Furthermore, we show that hypericin, with six phenolic hydroxyls, protects retinal and endothelial hybridoma cells from phototoxicity more effectively than the dimethyl tetrahydroxy helianthrone structural analog with only four such phenolic hydroxyls. The findings suggest that hydroxyl numbers contribute to the efficacy of competitive quenching.     

Experimental observation of optical bound states in the continuum

We present the experimental observation of bound states in the continuum. Our experiments are carried out in an optical waveguide array structure, where the bound state (guided mode) is decoupled from the continuum by virtue of symmetry only. We demonstrate that breaking the symmetry of the system couples this special bound state to continuum states, leading to radiative losses. These experiments demonstrate ideas initially proposed by von Neumann and Wigner in 1929 and offer new possibilities for integrated optical elements and analogous realizations with cold atoms and optical trapping of particles.