2008
DOI: 10.1080/09500340701308740
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Primary aberration changes produced by arbitrary movements of paraxial rays

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Cited by 9 publications
(5 citation statements)
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“…The heights of the incident point and emergent point of the marginal ray are h and h , respectively. By using the optical invariant [12], we could infer the relationship among refractive index, focal length, angle of view, and image height, as expressed in Equation (8) [13].…”
Section: Specifications For Underwater Optical Systemsmentioning
confidence: 99%
See 1 more Smart Citation
“…The heights of the incident point and emergent point of the marginal ray are h and h , respectively. By using the optical invariant [12], we could infer the relationship among refractive index, focal length, angle of view, and image height, as expressed in Equation (8) [13].…”
Section: Specifications For Underwater Optical Systemsmentioning
confidence: 99%
“…The probability of the entire wheel is 1. We could obtain the area of each lens set on the wheel according to their fitness by using Equation (12).…”
Section: Introduction To Genetic Algorithm and Its Extended Optimization Specific For Chromatic Aberration For Photogrammetrymentioning
confidence: 99%
“…In a similar way, the other three factors δE, γ, and γ can be proved to be invariant across the system. Finally, instead of using the intermediate ray data, these factors can be directly evaluated by the original and new ray data as [2] δE …”
Section: B Proof Of the Invariant Theoremmentioning
confidence: 99%
“…Based on an earlier investigation of Hopkins [1], we proposed a general algorithm [2] for evaluating the variations of primary aberrations (including Seidel aberrations, chromatic aberrations, and secondary spectrum) of conceptual thin lenses when the marginal and chief rays are arbitrarily changed; the optical invariants of the original and new configurations can have equal values or not. For thick lenses, the famous optical design program Code V provides the virtual "lens module" [3], using a variation of the mock ray tracing scheme by Walther [4][5][6], to evaluate the system aberrations influenced by the conceptual lens modules with specific first-order and aberration properties.…”
Section: Introductionmentioning
confidence: 99%
“…Specifying the targets of other aberrations such as coma S 2 , astigmatism S 3 , field curvature S 4 , distortion S 5 , pupil spherical aberration S 1 , and lateral chromatic aberration C T is not necessary because they can be expressed as combinations of K, S 1 , S 2C , and C L . Hopkins [1] and Chen [2] provided algorithms to evaluate the aberration variations of thin-lens components when the incident paraxial rays are changed. Chen [3,4] investigated the aberration variations of thick-lens components, which are modeled by three internal air-spaced thin-lens components.…”
Section: Introductionmentioning
confidence: 99%