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J Comp Physiol A (1993) 173:143-149
J Comp Physiol A (1993) 173:143-149

... the tip of the individual photoreceptor cell is not equivalent with the image forming ray path. At the tip of photoreceptors the optical acceptance region is particularly large in the part of the retina under the middle of the lens (Fig. 4a). lt is relatively small in the retinal region below the ed ...
1 Non-Diffracting Waves: An Introduction1 - Wiley-VCH
1 Non-Diffracting Waves: An Introduction1 - Wiley-VCH

Assessment of optical systems by means of point
Assessment of optical systems by means of point

... of the wavelength of the light. Interferometric methods are mostly used for this purpose. Although the achievable precision is very high, these methods need refined and delicate optical set-ups and, in practice, special laser sources to achieve sufficient signal-to-noise ratio. When a measurement at ...
Asphere Metrology
Asphere Metrology

... The talysurf must measure through the axis of rotation; profiles are normally measured and provided at 0º and 90º on axis, but if more data is desired they can also be measured in other places, at 45º on axis for example. Optimax also has new software available to combine multiple measurements from ...
Fresnel Diffraction Geometrical optics… …light can`t turn a corner. I
Fresnel Diffraction Geometrical optics… …light can`t turn a corner. I

... - wavelets propagate isotropically—in forward and reverse directions - to use the Huygens approach, modify amplitude of wavefront as a function of q: ...
Imaging Properties of Laser-Produced Parabolic Profile Microlenses
Imaging Properties of Laser-Produced Parabolic Profile Microlenses

Standing-wave transform spectrometer based on integrated MEMS
Standing-wave transform spectrometer based on integrated MEMS

Lecture Note No. 3 Reflection and Refraction (Sections 4.3 to 4.8)
Lecture Note No. 3 Reflection and Refraction (Sections 4.3 to 4.8)

... Ferma’s Principle … The beam path between two points takes one that needs the least travel time, or shortest optical path length (OPL   ns ds   n j  s j ). The resulting travel time is b ...
Optical Elements
Optical Elements

1.5 MB
1.5 MB

... line the positive and negative vortices can be observed while intersecting with the plane Σ. Here the single well defined singular line can be observed as carrying both the positive and negative topological charges. For the monochromatic waves propagating in a well defined direction the topological ...
10-draft-EPS-238
10-draft-EPS-238

Digital Fourier Microscopy for Soft Matter Dynamics
Digital Fourier Microscopy for Soft Matter Dynamics

... G ⇠ [nP a, kP a], which is way smaller than the ones characterising typical solids (G ⇠ 10 1000 GP a), accounting for the softness of these materials. The study of materials with length scales varying in such a wide range requires the combination of several experimental methods, including microscopy ...
Quantitative Phase Imaging
Quantitative Phase Imaging

... be predicted with certainty. In other words, unlike in the case of plane waves, we cannot find a function f(r,  t) that prescribes the field at each point in space and each moment in time. Instead, we describe the source as emitting a random signal, s(r,  t) (Figure 2). Knowledge about the random so ...
Choosing Mesh Parameters for Complex Systems
Choosing Mesh Parameters for Complex Systems

Characterization of acceptance angles of small circular
Characterization of acceptance angles of small circular

No Slide Title
No Slide Title

IMPORTANT FEATURES FOR A RIGHT - pi
IMPORTANT FEATURES FOR A RIGHT - pi

... the intensity distribution of a laser beam is solved by so called beam shaping optics1. Today there are available many optical systems realizing various beam shaping techniques: truncation of a beam by an aperture or attenuation by an apodizing filters, integration systems based on arrays of microle ...
Transfer Matrix Function (tmf) For Wave Propagation In Dielectric
Transfer Matrix Function (tmf) For Wave Propagation In Dielectric

Optics in Astronomy
Optics in Astronomy

Fabry-Perot Interferometer
Fabry-Perot Interferometer

... • Three pairs of mirrors are provided, two spherical sets with radii of curvature r of 75 mm and 100 mm, respectively; and one set of plane mirrors. The reflectivity of the mirrors is 96% for each set. Please, do not touch the mirror surfaces! The coatings are extremely damageable and expensive. Han ...
9 Exact Scattering and Absorption by Spheres: Lorenz
9 Exact Scattering and Absorption by Spheres: Lorenz

... mie(m, x) computes Qext, Qsca, Qabs, Qb, g=, for non-magnetic spheres mie2(eps1, mu1, x) computes Qext, Qsca, Qabs, Qb, , for magnetic spheres miecoated(m1,m2,x,y,opt) computes Qext, Qsca, Qabs, Qb, , for non-magnetic, coated spheres for size parameters x and y, of core an ...
11: Waves and Imaging
11: Waves and Imaging

... zero when the string frequencies are equal. Acoustic beats may be thought of as interference of the summed oscillations in time. We also could consider this relationship in a broader sense. If the sinusoids are considered to be functions of the independent variable (coordinate) t, the phase angles o ...
Kogelnik and Li
Kogelnik and Li

... Schwering [7]. The present discussion followsan analysis given in [ 111. 3.1 Approximate Solution of the Wave Equation Laser beams are similar in many respects to plane waves; however, their intensity distributions are not uniform, but are concentrated near the axis of propagation and their phase fr ...
Canonical and singular propagation of ultrashort pulses in a
Canonical and singular propagation of ultrashort pulses in a

... and z0 is the shortest distance (usually zNL or zdiff over which E0 changes. The nondimensional coefficients B and A describe how the real and imaginary parts of the linear susceptibility deviate from constant values. The operator δ 2 is the Laplacian ∂2 /∂x2 + ∂2 /∂y 2 = ∂2 /∂r 2 + (1/r)(∂/∂r) if the ...
Excitation of a one-dimensional evanescent wave by conical edge
Excitation of a one-dimensional evanescent wave by conical edge

... To measure the interaction of a surface plasmon and a 90◦ metal corner, We have developed a far-field excitation/detection schemes for exciting and characterizing surface plasmon running in metal surfaces. By use of high-numerical aperture (N.A.) objectives (N.A=1.49), photons incident from the glas ...
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Fourier optics

Fourier optics is the study of classical optics using Fourier transforms, in which the wave is regarded as a superposition of plane waves that are not related to any identifiable sources; instead they are the natural modes of the propagation medium itself. Fourier optics can be seen as the dual of the Huygens–Fresnel principle, in which the wave is regarded as a superposition of expanding spherical waves which radiate outward from actual (physically identifiable) current sources via a Green's function relationship (see Double-slit experiment)A curved phasefront may be synthesized from an infinite number of these ""natural modes"" i.e., from plane wave phasefronts oriented in different directions in space. Far from its sources, an expanding spherical wave is locally tangent to a planar phase front (a single plane wave out of the infinite spectrum), which is transverse to the radial direction of propagation. In this case, a Fraunhofer diffraction pattern is created, which emanates from a single spherical wave phase center. In the near field, no single well-defined spherical wave phase center exists, so the wavefront isn't locally tangent to a spherical ball. In this case, a Fresnel diffraction pattern would be created, which emanates from an extended source, consisting of a distribution of (physically identifiable) spherical wave sources in space. In the near field, a full spectrum of plane waves is necessary to represent the Fresnel near-field wave, even locally. A ""wide"" wave moving forward (like an expanding ocean wave coming toward the shore) can be regarded as an infinite number of ""plane wave modes"", all of which could (when they collide with something in the way) scatter independently of one other. These mathematical simplifications and calculations are the realm of Fourier analysis and synthesis – together, they can describe what happens when light passes through various slits, lenses or mirrors curved one way or the other, or is fully or partially reflected. Fourier optics forms much of the theory behind image processing techniques, as well as finding applications where information needs to be extracted from optical sources such as in quantum optics. To put it in a slightly more complex way, similar to the concept of frequency and time used in traditional Fourier transform theory, Fourier optics makes use of the spatial frequency domain (kx, ky) as the conjugate of the spatial (x,y) domain. Terms and concepts such as transform theory, spectrum, bandwidth, window functions and sampling from one-dimensional signal processing are commonly used.
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