Modification of the formulas for third-order aberration coefficients

Mikš, Antonı́n

doi:10.1364/josaa.19.001867

Cited by 35 publications

(23 citation statements)

References 2 publications

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“…In the further text, we will assume a thin lens system approximation. Transverse ray aberrations δy 0 and δx 0 in the image plane of the optical system that is composed of K thin lenses (members of the optical system) in air can be calculated from the following equations [1][2][3][18][19][20] δy 0 − y P y 2 P x 2 P 2s 1 − s 1 3 u 3 1 u 0…”

Section: Seidel Aberration Coefficientsmentioning

confidence: 99%

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Theoretical and experimental analysis of basic parameters of two-element optical systems

Mikš

Novák

2012

Appl. Opt.

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Our work presents detailed theoretical analysis of two-element optical systems of telephoto lenses and objectives of anallactic telescopes with internal focusing. The first element of such systems has positive optical power and the second element has negative optical power. This type of optical system is widespread in practice mainly in the field of photographic lenses and in surveying instruments (theodolites, leveling instruments, etc.) where the anallactic telescope with internal focusing is being used. In our work we propose methods to determine the basic parameters of such objectives, i.e., the focal lengths of both the elements of the objective lens and their mutual axial separation. Furthermore, the detailed analysis of aberration properties of such optical systems is performed and methods for measuring the focal lengths of individual elements and their mutual distance without the need for disassembling the investigated optical system are presented.

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Section: Seidel Aberration Coefficientsmentioning

confidence: 99%

“…The Seidel aberration coefficients (Seidel sums) S I , S II , S III , S IV , and S V are given by the following formulas [19,20]:…”

Section: Seidel Aberration Coefficientsmentioning

confidence: 99%

Theoretical and experimental analysis of basic parameters of two-element optical systems

Mikš

Novák

2012

Appl. Opt.

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“…Coefficients a 1 , a 2 , …, a 6 , b 1 , b 2 , …, b 5 , c 1 , c 2 , …, c 4 and d 1 depend only on paraxial properties of the optical system and can be calculated using equations that are given in Ref. 16. We are now in a position, which allows us to calculate all necessary quantities for the third order design of the individual optical elements.…”

Section: Fig2: Three-lens Systemmentioning

confidence: 99%

“…S I , S II , S III , S IV , S V are the third order aberration coefficients16 , are the third order aberration coefficients of the first and second part of the optical system.…”

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confidence: 99%

Four-element optical system for Fourier transform

Mikš

Novák

2004

Optical Metrology in Production Engineering

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The theory and method for design of the optical systems for realization of the Fourier transform in systems for optical data processing is described. There are given relations for initial design of these optical systems using the third order theory of aberrations. As an example, the parameters of the four element optical system are given, which enables to obtain a suitable image quality required in systems for optical image processing.

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“…We present a detailed theoretical analysis of imaging properties of tunable-focus fluidic membrane lenses. The shape of lenses can be determined theoretically using the third-order theory of aberrations (Seidel aberrations) [10][11][12][13] that gives us an approximate analytic expression of primary aberrations of optical systems (spherical aberration, coma, field curvature, astigmatism and distortion). For our analysis we restrict ourselves to rotationally symmetric optical surfaces of the second order.…”

Section: Introductionmentioning

confidence: 99%

Analysis of design parameters and imaging properties of membrane fluidic lenses

Novák¹,

Novák²,

Mikš³

2013

AIP Conference Proceedings

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Our work performs a complex analysis of the third-order design parameters and imaging properties of a system of rotationally symmetric tunable-focus fluidic membrane lenses considering all types of primary aberrations. It is shown that spherical aberration of a simple tunable-focus fluidic membrane lens with parabolic surfaces can be corrected, which is not possible with a classical spherical lens. Formulas for the calculation of the third-order (Seidel) aberrations are derived, which can be used for the design of membrane lenses with required imaging properties. The application of derived formulas is shown on examples. Presented third-order aberration analysis may serve for an initial design of optical systems composed of classical fix-focus lenses and tunable fluidic lenses.

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Modification of the formulas for third-order aberration coefficients

Cited by 35 publications

References 2 publications

Theoretical and experimental analysis of basic parameters of two-element optical systems

Theoretical and experimental analysis of basic parameters of two-element optical systems

Four-element optical system for Fourier transform

Analysis of design parameters and imaging properties of membrane fluidic lenses

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