Efficient confinement of laser radiation in the core of a photonic crystal fiber increases the nonlinear processes resulting in supercontinuum generation. The technique of adaptive pulse shaping using an evolutionary algorithm provides a method to gain control over such highly nonlinear processes. Adaptive pulse shaping of the driving laser radiation passing through the photonic crystal fiber i...

In this paper we reinvestigate photon. We show that photon with a specific frequency can be identified with the Dirac magnetic monopole. We give a model of quantum electrodynamics from which we derive photon as a quantum loop of this model. This nonlinear loop model of photon is exactly solvable and thus may be regarded as a quantum soliton. From the winding numbers of this loop model of photon...

The present contribution deals with the thermophoretic deposition of nanoparticles over a rapidly rotating permeable disk in the presence of partial slip, magnetic field, thermal radiation, thermal-diffusion, and diffusion-thermo effects. The governing nonlinear partial differential equations such as continuity, momentum, energy and concentration are transformed into nonlinear ordinary differen...

The Earth is continually exposed to the cosmic radiation of both solar and galactic origin. Solar eruption and solar activity may affect cosmic radiation flux density which has a secondary effect on the flux of particles in the atmosphere as well. Such one event was recorded in the last week of October 2003, where the measured dose rate of the cosmic radiation in the aircraft ATR 42 was 1.8 tim...

There is a controversy of how to interpret interactions electrons with large spatial coherence light and matter. When such an electron emits photon, it can do so either as if its charge were confined point within length, the region where square modulus wave function $|\psi|^2$ localized, or continuous cloud space spread over it. This problem was addressed in recent study R.~Remez, et al., Phys....

We present an optimization-based approach to radiation treatment planning over time. Our formulates as optimal control problem with nonlinear patient health dynamics derived from the standard linear-quadratic cell survival model. As formulation is nonconvex, we propose a method for obtaining approximate solution by solving sequence of convex optimization problems. This fast, efficient, and robu...