Hamiltonian optics
E586578
Hamiltonian optics is a formulation of geometrical optics that applies Hamiltonian mechanics concepts to describe and analyze the trajectories of light rays in optical systems.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
formulation of geometrical optics
ⓘ
theoretical framework in optics ⓘ |
| appliedIn |
aberration theory
ⓘ
charged-particle beam optics (by analogy) ⓘ lens design ⓘ nonlinear optical systems modeling ⓘ optical system analysis ⓘ |
| appliesConceptsFrom | Hamiltonian mechanics NERFINISHED ⓘ |
| assumes | geometrical optics approximation ⓘ |
| basedOn | Fermat's principle NERFINISHED ⓘ |
| canDescribe |
anisotropic media
ⓘ
inhomogeneous media ⓘ non-paraxial ray propagation ⓘ paraxial ray propagation ⓘ |
| coreConcept |
canonical equations of motion
ⓘ
eikonal function ⓘ ray trajectories as phase-space curves ⓘ |
| describes |
propagation of light in optical systems
ⓘ
trajectories of light rays ⓘ |
| distinguishedFrom |
quantum optics
ⓘ
wave optics ⓘ |
| enables |
symplectic matrix methods in paraxial optics
ⓘ
use of canonical transformations in optics ⓘ |
| fieldOfStudy |
classical mechanics
ⓘ
geometrical optics ⓘ |
| formalismType | phase-space formalism ⓘ |
| historicalRoot | William Rowan Hamilton's work on optics ⓘ |
| influenced |
modern accelerator optics formalisms
ⓘ
symplectic integrator methods in optics ⓘ |
| mathematicallyRelatedTo | classical Hamiltonian dynamics ⓘ |
| models | light rays as classical particles ⓘ |
| provides |
canonical invariants for optical systems
ⓘ
phase-space description of rays ⓘ |
| relatedTo |
Lagrangian optics
NERFINISHED
ⓘ
geometrical optics ⓘ symplectic optics ⓘ |
| represents | refractive media via position-dependent Hamiltonian ⓘ |
| toolFor |
analyzing stability of optical resonators
ⓘ
deriving optical invariants ⓘ designing aplanatic optical systems ⓘ |
| usesApproximation | short-wavelength limit of Maxwell's equations ⓘ |
| usesEquation | Hamilton's equations NERFINISHED ⓘ |
| usesFormalism | Hamiltonian formalism ⓘ |
| usesQuantity | optical Hamiltonian ⓘ |
| usesVariables |
generalized coordinates
ⓘ
generalized momenta ⓘ optical path length ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.