... • The wave is INPUT at z=0 with an input wave f(x,y)=U(x,y,0).
• The wave propagates through a distance d.
• The output wave at z=d is given by g(x,y)=U(x,y,d).
1051-733-20092 Homework #1 Due 12/09/2000 (W)
... (b) Show that the two-dimensional sinusoidal part of this function contributions ALL
of the volume and that the cosine part contributes none.
6. Consider propagation over the distance z1 and then over the distance z2 , where both
distances satisfy the conditions for Fresnel diﬀraction. Show that a s ...
Topic 4 Waves - MrSimonPorter
... Wavelength is the shortest distance along a wave between two points that are in phase.
Phase difference is the time difference or phase angle by which one wave leads or lags another.
Wave speed is the speed at which wavefronts pass a stationary observer.
Intensity - The average amount of energy tran ...
... Some time later it was shown that this
extra term was equal to zero, and
our solution was indeed correct.
“One reason for this paper being
cited many times may be that the three
parts of the paper are separably useful
in other problems in optics. For example, when the paper was written there
pupil function - UCT Digital Image Processing
... CCDs can be scanned at television rates (25 frames per second) or much more
slowly. Since they can integrate for periods of seconds to hours to create
low-light images, they are used in astronomy and florescence microscopy, for
example. The long integration times require that the sensor be cooled to ...
... Mentioned before in Kenneth’s presentation.
Last Year`s Midterm Solutions
... What questions would you pose in order to be
able to properly answer question i) asked by your boss?
List as many relevant questions you can think of. Marks
will be given for consistent, relevant questions that would
quickly resolve the issue.
1)Are the units for the Electric field not V/m?
2)Are th ...
... This is the differential equation that describes the propagation of dissipationless,
dispersionless waves. This derivation will be inductive and general. For each specific
case like tension waves on a string or sound waves in the air, it is also possible to
give a detailed deductive derivation that ...
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
... (a) Explain the action of a half wave plate when a plane polarized light is incident
normally on it.
(b) Calculate the thickness of a half wave plate for light of wavelength 6000Å.
Given µe= 1.553 and µ0=1.533.(2.5).
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.