Aplanatic optical system containing two aspheric surfaces

Braat, Joseph J. M.; Greve, Peter

doi:10.1364/ao.18.002187

Cited by 41 publications

(3 citation statements)

References 7 publications

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“…The q condition can be used to fully specify two aspheric surfaces in an imaging system by use of an algorithm that is based on the methods of Wasserman and Wolf, 10 Vaskas, 11 and Braat and Greve 12 for the special case of the sine condition. This approach to lens design has been used in Ref.…”

Section: Effects Of Deviating From the Sine Conditionmentioning

confidence: 99%

Finite conjugate spherical aberration compensation in high numerical-aperture optical disc readout

Stallinga¹

2005

Appl. Opt.

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Spherical aberration arising from deviations of the thickness of an optical disc substrate from a nominal value can be compensated to a great extent by illuminating the scanning objective lens with a slightly convergent or divergent beam. The optimum conjugate change and the amount and type of residual aberration are calculated analytically for an objective lens that satisfies Abbe's sine condition. The aberration sensitivity is decreased by a factor of 25 for numerical aperture values of approximately 0.85, and the residual aberrations consist mainly of the first higher-order Zernike spherical aberration term A60. The Wasserman-Wolf-Vaskas method is used to design biaspheric objective lenses that satisfy a ray condition that interpolates between the Abbe and the Herschel conditions. Requirements for coma by field use allow for only small deviations from the Abbe condition, making the analytical theory a good approximation for any objective lens used in practice.

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Section: Effects Of Deviating From the Sine Conditionmentioning

confidence: 99%

Finite conjugate spherical aberration compensation in high numerical-aperture optical disc readout

Stallinga¹

2005

Appl. Opt.

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“…those aberrations vanish for all orders, and therefore they satisfy the Abbe sine condition. The first rotationally symmetric two mirror aplanatic systems were described by Schwarzschild in 1905 [2] and were later developed and analytically deduced for telescopes which required superior aberration-free imaging [3][4][5][6]. One particular aplanatic design is the afocal case, in which the null spherical aberration implies that the plane input wavefront WF in is coupled to a plane output wavefront WF out stigmatically.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of an afocal two freeform mirror design problem

Benı́tez¹,

Nikolić²,

Miñano³

2017

Opt. Express

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Abstract:We investigate a new afocal two freeform mirror design problem in first order optics. The resulting first-order partial differential equations for the freeform two mirror system have an analytic solution with the sole condition that the x-y and x'-y' axes are parallel. Two selected solutions are presented. One of them is semiaplanatic (fulfilling the aplanatic condition only for the x-coordinates), while the other is, to our knowledge, the first example of an aplanatic two-mirror system without rotational symmetry. A 11(12), 3292-3307 (1994).

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“…Also, many specialized optical systems have been developed to greatly reduce the spherical aberration, but none has eliminated it completely. Designs with single or multiple lenses were developed [12][13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Singlet lenses free of all orders of spherical aberration

2015

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This paper describes a method to design families of singlet lenses free of all orders of spherical aberration. These lenses can be mass produced according to Schwarzschild's formula and therefore one can find many practical applications. The main feature of this work is the application of an analysis that can be extended to grazing or maximum incidence on the first surface. Also, here, the authors present some developments that corroborate geometrical optics results, along with the axial thick lensmaker's formula, which can be applicable to any pair of finite conjugate planes for any lens shape (bending) and can be used instead of the classical thick lensmaker's formula, which always assumes that the object is at infinity, to attain better accuracy.

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Aplanatic optical system containing two aspheric surfaces

Cited by 41 publications

References 7 publications

Finite conjugate spherical aberration compensation in high numerical-aperture optical disc readout

Finite conjugate spherical aberration compensation in high numerical-aperture optical disc readout

Analytical solution of an afocal two freeform mirror design problem

Singlet lenses free of all orders of spherical aberration

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