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Against-the-rule astigmatism – the horizontal meridian is steepest (a rugby ball or American football standing on its end). [17] Oblique astigmatism – the steepest curve lies in between 120 and 150 degrees and 30 and 60 degrees. [17] Irregular astigmatism – principal meridians are not perpendicular.
Astigmatism can be often corrected by glasses with a lens that has different radii of curvature in different planes (a cylindrical lens), contact lenses, or refractive surgery. [5] Astigmatism is quite common. Studies have shown that about one in three people suffers from it. [6] [7] [8] The prevalence of astigmatism increases with age. [9]
The Stokes lens also known as variable power cross cylinder lens, in its standard version, is a lens combination consisted of equal but opposite (one plano-convex and other plano-concave) power cylindrical lenses attached together in a way so that the lenses be rotated in opposite directions.
Effects of astigmatism. As the eye shifts its gaze from looking through the optical center of the corrective lens, the lens-induced astigmatism value increases. In a spherical lens, especially one with a strong correction whose base curve is not in the best spherical form, such increases can significantly impact the clarity of vision in the ...
Near-sightedness is due to the length of the eyeball being too long; far-sightedness the eyeball too short; astigmatism the cornea being the wrong shape, while presbyopia results from aging of the lens of the eye such that it cannot change shape sufficiently. [3] Some refractive errors occur more often among those whose parents are affected.
Developed by Australian ophthalmologist Noel Alpins and introduced in 1993, the Alpins Method provides a coherent basis for reporting astigmatism results, and on this basis became the standard in the major ophthalmology journals, [9] [10] [11] and was accepted worldwide for studies that include refraction and corneal astigmatism measurements.
Rewriting the ratios of factorials in the radial part as products of binomials shows that the coefficients are integer numbers: = = () ().A notation as terminating Gaussian hypergeometric functions is useful to reveal recurrences, to demonstrate that they are special cases of Jacobi polynomials, to write down the differential equations, etc.:
(4) After eliminating the aberration On the axis, coma and astigmatism, the relation for the flatness of the field in the third order is expressed by the Petzval equation, S1/r(n'−n) = 0, where r is the radius of a refracting surface, n and n' the refractive indices of the neighboring media, and S the sign of summation for all refracting ...