Topic

# Thin lens

About: Thin lens is a research topic. Over the lifetime, 728 publications have been published within this topic receiving 11728 citations.

##### Papers published on a yearly basis

##### Papers

More filters

••

TL;DR: Advantages of this power vector representation of a sphero-cylinder lens for numerical and graphical analysis of optometric data are described for problems involving lens combinations, comparison of different lenses, and the statistical distribution of refractive errors.

Abstract: The description of sphero-cylinder lenses is approached from the viewpoint of Fourier analysis of the power profile. It is shown that the familiar sine-squared law leads naturally to a Fourier series representation with exactly three Fourier coefficients, representing the natural parameters of a thin lens. The constant term corresponds to the mean spherical equivalent (MSE) power, whereas the amplitude and phase of the harmonic correspond to the power and axis of a Jackson cross-cylinder (JCC) lens, respectively. Expressing the Fourier series in rectangular form leads to the representation of an arbitrary sphero-cylinder lens as the sum of a spherical lens and two cross-cylinders, one at axis 0 degree and the other at axis 45 degrees. The power of these three component lenses may be interpreted as (x,y,z) coordinates of a vector representation of the power profile. Advantages of this power vector representation of a sphero-cylinder lens for numerical and graphical analysis of optometric data are described for problems involving lens combinations, comparison of different lenses, and the statistical distribution of refractive errors.

1,090 citations

••

TL;DR: In this article, it was shown that a quadratic phase modulation in time is the analog of a thin lens in space and that a suitable combination of dispersion and quadratically phase modulation (now a "time lens") can synthesize the time-domain analog of an imaging system.

Abstract: There exists a beautiful duality between the equations that describe the paraxial diffraction of beams confined in space and the dispersion of narrow-band pulses in dielectrics. We will see that this duality leads naturally to the conclusion that a quadratic phase modulation in time is the analog of a thin lens in space. Therefore, by a suitable combination of dispersion and quadratic phase modulation (now a "time lens"), we can synthesize the time-domain analog of an imaging system. Such a temporal-imaging system can magnify time waveforms in the same manner as conventional spatial-imaging systems magnify scenes. We analyze this space-time duality and derive expressions for the focal length and f-number of a time lens. In addition, the principles of temporal imaging are developed and we derive time-domain analogs for the imaging condition, magnification ratio, and impulse response of a temporal-imaging system. >

656 citations

••

TL;DR: The first experimental demonstration of thermal "ghost" imaging is reported, where a two-photon Gaussian thin lens equation is observed and differences and similarities to entangled " ghost" imaging are discussed.

Abstract: We report the first experimental demonstration of two-photon imaging with a pseudothermal source. Similarly to the case of entangled states, a two-photon Gaussian thin lens equation is observed, indicating EPR type correlation in position. We introduce the concepts of two-photon coherent and two-photon incoherent imaging. The differences between the entangled and the thermal cases are explained in terms of these concepts.

632 citations

••

TL;DR: The paper emphasizes the importance of establishing an accurate estimation of corneal power as well as an accurate technique for the measurement of axial length and accurate methods of predicting postoperative anterior chamber depth (ACD).

Abstract: This review describes the principles and practices involved in the calculation of intraocular lens (IOL) power The theories behind formulas for calculating IOL power are described, using regression and optical methods employing 'thin lens' and 'thick lens' models, as well as exact ray-tracing methods Numerical examples are included to illustrate the points made The paper emphasizes the importance of establishing an accurate estimation of corneal power as well as an accurate technique for the measurement of axial length and accurate methods of predicting postoperative anterior chamber depth (ACD) It is concluded that current improvements in diagnostic and surgical technology, combined with the latest generation IOL power formulas, make the calculation and selection of appropriate IOL power among the most effective tools in refractive surgery today

501 citations

•

01 Jan 1986

TL;DR: In this paper, the Seidel aberrations of unsymmetrical systems and of holographic optical elements are calculated and a finite raytracing through non-symmetric systems is proposed.

Abstract: Optical systems and ideal optical images. Geometrical optics. Gaussian optics. Finite raytracing. Finite raytracing through non-symmetrical systems. Optical invariants. Monochromatic aberrations. Calculation of the Seidel aberrations. Finite aberration formulae. Chromatic aberration. Primary aberrations of unsymmetrical systems and of holographic optical elements. Thin lens aberrations. Optical tolerances.

389 citations