Results 1 to 10 of about 102 (102)
Splitting Methods for Semi-Classical Hamiltonian Dynamics of Charge Transfer in Nonlinear Lattices
Mathematics, 2022 We propose two classes of symplecticity-preserving symmetric splitting methods for semi-classical Hamiltonian dynamics of charge transfer by intrinsic localized modes in nonlinear crystal lattice models.
Jānis Bajārs, Juan F. R. Archilla
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Efficient algorithm for high fidelity collisional charged particle beam dynamics
Physical Review Accelerators and Beams, 2021 High fidelity charged particle beam dynamics, especially if collisional, require specialized numerical methods. The challenges include the ability to deal with very large particle numbers, long-range electromagnetic forces, and vast spatial and ...
A. Al Marzouk +3 more
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Prethermalization in periodically driven nonreciprocal many-body spin systems
Physical Review Research, 2023 We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the dynamics of the
Adam J. McRoberts +3 more
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Axioms, 2019 The authors of the above mentioned paper specify that the considered class of one-step symmetric Hermite-Obreshkov methods satisfies the property of conjugate-symplecticity up to order p + r , where r = 2 and p is the order of the method.
Francesca Mazzia, Alessandra Sestini
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African Vision and Eye Health, 2010 In aprevious study special rays and structures, including nodal, principal and focal rays and structures, were defined in terms of generalized magnification of reduced inclination of rays across thesystem. The mathematical structure of the transference,
W. F. Harris
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Symplecticity and relationships among the fundamental properties in linear optics
African Vision and Eye Health, 2010 Because of symplecticity the four fundamental first-order optical properties of an optical system are not independent. Relationships among them reduce the number of degrees of freedom of a system’s transference from 16 to 10.
W. F. Harris
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Transferences of Purkinje systems
African Vision and Eye Health, 2011 The transferences of heterocentric astigmatic Purkinje systems are special: submatrices B and C, that is, the disjugacy and the divergence of the system, are symmetric and submatrix D (the divarication) is the transpose of submatrix A (the dilation). It
W. F. Harris
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The ray transference of a reversed optical system
African Vision and Eye Health, 2008 The optical character of an optical system is changed if the system is reversed. This is as true of eyes as it is of telescopes. In vision light traverses the eye from cornea to retina; in ophthalmoscopy the practitioner views the retina via light ...
W. F. Harris
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Quantitative analysis in Hamiltonian space of the transformed ray transferences of a cornea
African Vision and Eye Health, 2007 The primary purpose of this paper is to illustrate the quantitative analysis of the linear-optical character of a cornea using transformed ray transferences in a 10-dimensional Hamiltonian linear space.
S. D. Marhebula
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Dependence of the ray transference of model eyes on the frequency of light
African Vision and Eye Health, 2016 The transference defines the first-order character of an optical system; almost all the system’s optical properties can be calculated from it. It is useful, therefore, to have some idea of how it depends on the frequency of light.
Tanya Evans, William F. Harris
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