This system can be modelled as a paraxial worm like chain (even if the applied force is zero) and according to the general discussion, will have an aperiodic free energy.
DNA Elasticity : Topology of Self-Avoidance
HP is the Hamiltonian of interest in the paraxial limit after we take out a constant piece.
Free Energy of Twisted Semiflexible Polymers
In this paper the reﬂection and transmission of waves by a threedimensional random medium are studied in a white-noise and paraxial regime.
Coupled paraxial wave equations in random media in the white-noise regime
The paraxial wave equation, in homogeneous or in random media, is a model used for many applications, for instance in communication and imaging .
Coupled paraxial wave equations in random media in the white-noise regime
The derivation of the paraxial model in homogeneous media is well understood, and it can also be justiﬁed in heterogeneous media for small variations of the wave speed [2, 4].
Coupled paraxial wave equations in random media in the white-noise regime
If the paraxial approximation and the white-noise approximation can be justiﬁed simultaneously, then the conjecture [21, 23] is that the limit equation should take the form of the random Schr¨odinger equation studied in particular in .
Coupled paraxial wave equations in random media in the white-noise regime
We will now go beyond plane waves and consider paraxial electromagnetic beams.
Non-quantum entanglement and a complete characterization of pre-Mueller and Mueller matrices in polarization optics
Throughout this paper, we consider linearly polarized monochromatic light in the paraxial regime for simplicity.
Augmenting Light Field to model Wave Optics effects
The paraxial approximation, a common assumption in wave – optics theory as well as most practical cases, simpliﬁes mathematical descriptions, especially the LF transformer in Sec. 2.3.
Augmenting Light Field to model Wave Optics effects
In most thin optical elements, they exhibit angle shift invariance in the paraxial region; e.g. let us consider that an optical element produces three rays from an incoming ray of an incident angle θ1 at x1 (Fig. 8(a)).
Augmenting Light Field to model Wave Optics effects
Diffraction effects in wigner functions for paraxial and nonparxial ﬁelds .
Augmenting Light Field to model Wave Optics effects
Since both input and output ﬁelds are paraxial, the resulting transformation is reduced to the effective 2 × 2 angle-resolved Jones matrix acting onto transverse xy -components of the ﬁeld: E⊥ (θ, φ, rs ) = ˆT⊥ (θ, φ, rs ) E0⊥ .
Optical nanoprobing via spin-orbit interaction of light
However, in our case the AM conversion is based on the interaction of the non-paraxial focused ﬁeld inside the system with the nano-scatterer.
Optical nanoprobing via spin-orbit interaction of light
In the present study the pump is treated as a diffracting paraxial beam.
Optimal Co-linear Gaussian Beams for Spontaneous Parametric Down-Conversion
In Section 2, we review the forward scattering problem and the paraxial approximation.
Exact Localization and Superresolution with Noisy Data and Random Illumination
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