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Application of radial basis functions to shape description in a dual‐element off‐axis eyewear display: Field‐of‐view limit
Author(s) -
Cakmakci Ozan,
Vo Sophie,
Thompson Kevin P.,
Rolland Jannick P.
Publication year - 2008
Publication title -
journal of the society for information display
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 52
eISSN - 1938-3657
pISSN - 1071-0922
DOI - 10.1889/jsid16.11.1089
Subject(s) - zernike polynomials , optical transfer function , basis (linear algebra) , limit (mathematics) , field (mathematics) , element (criminal law) , dual (grammatical number) , diagonal , field of view , optics , geometry , function (biology) , computer science , physics , mathematics , mathematical analysis , pure mathematics , wavefront , art , literature , evolutionary biology , political science , law , biology
— Previously, it was demonstrated that radial basis functions may be preferred as a free‐form shape descriptor for a single‐mirror magnifier, justified by a performance increase measured by the MTF, when compared to other conventional descriptions such as multivariate polynomials ( e.g. , Zernike polynomials or x‐y polynomials). The benefit in performance increase can be used to expand the pupil diameter from 8 to 12 mm given a 20° field of view and a 15‐mm eye clearance or to increase the field of view. The main contribution in this paper is the investigation of the field‐of‐view limit in a dual‐element magnifier where the free‐form mirror is described with radial basis functions. Our main result in this paper is an estimate of the field‐of‐view limit of the dual‐element magnifier to be approximately 25° full‐field diagonal, given the specific geometry described in the paper. The impact of the astigmatic node placement in a rectangular image field on the modulation transfer function is also analyzed for the particular dual‐element magnifier geometry.