Using Optical Transforms To Teach Quantum Mechanics ∑ ∑ ∑
... localized at two positions in the x direction, the superposition principle demands constructive and destructive interference in the x component of the momentum. This effect is also clearly shown in Figure 1. The complementary relationship between position and momentum required by the uncertainty pri ...
... localized at two positions in the x direction, the superposition principle demands constructive and destructive interference in the x component of the momentum. This effect is also clearly shown in Figure 1. The complementary relationship between position and momentum required by the uncertainty pri ...
here - UNSW Physics
... INTERFERENCE (§35.1-35.5) Light as a wave; Young’s interference experiment; interference and double slit intensity; interference from this films; Michelson’s interferometer. ...
... INTERFERENCE (§35.1-35.5) Light as a wave; Young’s interference experiment; interference and double slit intensity; interference from this films; Michelson’s interferometer. ...
lecture1
... Difference between two waves having the same electrical degrees or time and having the same frequency are in phase. Illustration of phase shift. The horizontal axis • Can interfere with other waves. ...
... Difference between two waves having the same electrical degrees or time and having the same frequency are in phase. Illustration of phase shift. The horizontal axis • Can interfere with other waves. ...
Measure the Distance Between Tracks of CD and DVD
... long (125% as long to hit the disk and the same to return) as a wave reflects by a land. This way, whenever the laser strikes a pitted groove, the wave and its reflection are dephased by a half wavelength and cancel one another out (destructive interference), so it's as if no light was reflected at ...
... long (125% as long to hit the disk and the same to return) as a wave reflects by a land. This way, whenever the laser strikes a pitted groove, the wave and its reflection are dephased by a half wavelength and cancel one another out (destructive interference), so it's as if no light was reflected at ...
Final Exam - Department of Physics and Astronomy : University of
... (a) What is the limiting angle of resolution (i.e. angle of diffraction)? (b) Suppose it is possible to use visible light of any wavelength. What color should you choose to give the smallest possible angle of resolution, and what is this angle? (c) Suppose water fills the space between the object an ...
... (a) What is the limiting angle of resolution (i.e. angle of diffraction)? (b) Suppose it is possible to use visible light of any wavelength. What color should you choose to give the smallest possible angle of resolution, and what is this angle? (c) Suppose water fills the space between the object an ...
Computation of diffraction patterns Part 1
... screen. In the script we have chosen a rectangular array of detection points whose x-coordinates vary between close to 0 and scrnDst and whose y-coordinates vary between -scrnWdth/2 and +scrnWdth/2. III. Note in the script the two lines of code which calculate the field variable E(0). As usual, if y ...
... screen. In the script we have chosen a rectangular array of detection points whose x-coordinates vary between close to 0 and scrnDst and whose y-coordinates vary between -scrnWdth/2 and +scrnWdth/2. III. Note in the script the two lines of code which calculate the field variable E(0). As usual, if y ...
11. Stimulated Brillouin Scattering
... For Brillouin scattering, the nonlinear polarization source is cause by the changes in dielectric constant by the traveling acoustic waves. The acoustic waves are in turn driven by the beat waves of the electric field of light. Acoutic waves driven by electromagnetic waves The change in the dielectr ...
... For Brillouin scattering, the nonlinear polarization source is cause by the changes in dielectric constant by the traveling acoustic waves. The acoustic waves are in turn driven by the beat waves of the electric field of light. Acoutic waves driven by electromagnetic waves The change in the dielectr ...
Class #34 Slides
... 780 nm (red). What is the range of frequencies of visible light? (1 nm = 10-9 m) ...
... 780 nm (red). What is the range of frequencies of visible light? (1 nm = 10-9 m) ...
Problem-Solving Strategy
... IDENTIFY the relevant concepts: Remember that in all electromagnetic waves, including light waves, the direction of the field is the direction of polarization and is perpendicular to the propagation direction. When working with polarizers, you are really dealing with components of parallel and perpe ...
... IDENTIFY the relevant concepts: Remember that in all electromagnetic waves, including light waves, the direction of the field is the direction of polarization and is perpendicular to the propagation direction. When working with polarizers, you are really dealing with components of parallel and perpe ...
diffraction uniformly illuminated circular aperture
... Fraunhofer diffraction occurs when both the incident and diffracted waves are effectively plane. This occurs when the distance from the source to the aperture is large so that the aperture is assumed to be uniformly illuminated and the distance from the aperture plane to the observation plane is als ...
... Fraunhofer diffraction occurs when both the incident and diffracted waves are effectively plane. This occurs when the distance from the source to the aperture is large so that the aperture is assumed to be uniformly illuminated and the distance from the aperture plane to the observation plane is als ...
The diffraction of light by sound waves of high
... is inclined to the planes of the sound-wave-fronts at an angle a, given by tan- (B1B/OB)= tan- (1*/2)/(L/2) = tan- ' (1*/L). That the optical lengths of A'B' and C'D' in figure l(c) are equal follows by a very simple geometrical consideration. Thus, when light rays are incident on the sound waves at ...
... is inclined to the planes of the sound-wave-fronts at an angle a, given by tan- (B1B/OB)= tan- (1*/2)/(L/2) = tan- ' (1*/L). That the optical lengths of A'B' and C'D' in figure l(c) are equal follows by a very simple geometrical consideration. Thus, when light rays are incident on the sound waves at ...
PRACTICAL 10: Wavelength of Laser Light
... Chapter 34 Wave and Particle Optics, Section 34.2 “Diffraction gratings” and Section 34.6 “Multiple-slit interference”, in particular White-volume page 925, equation 34.16 on principal maxima. Introduction In 1801 Thomas Young was able to make a measurement of the wavelength of light using a two-sli ...
... Chapter 34 Wave and Particle Optics, Section 34.2 “Diffraction gratings” and Section 34.6 “Multiple-slit interference”, in particular White-volume page 925, equation 34.16 on principal maxima. Introduction In 1801 Thomas Young was able to make a measurement of the wavelength of light using a two-sli ...
AP Physics Ch 24 : Physical Optics
... Light from different ends of the slit will be traveling to the same spot on the screen and reach there either in or out of sync. o In Figure 7, the blue path has to travel further than the red path... if this difference is equal to half a wavelength, they will meet each other out of sync. If they me ...
... Light from different ends of the slit will be traveling to the same spot on the screen and reach there either in or out of sync. o In Figure 7, the blue path has to travel further than the red path... if this difference is equal to half a wavelength, they will meet each other out of sync. If they me ...
Diffraction
Diffraction refers to various phenomena which occur when a wave encounters an obstacle or a slit. In classical physics, the diffraction phenomenon is described as the interference of waves according to the Huygens–Fresnel principle. These characteristic behaviors are exhibited when a wave encounters an obstacle or a slit that is comparable in size to its wavelength. Similar effects occur when a light wave travels through a medium with a varying refractive index, or when a sound wave travels through a medium with varying acoustic impedance. Diffraction occurs with all waves, including sound waves, water waves, and electromagnetic waves such as visible light, X-rays and radio waves.Since physical objects have wave-like properties (at the atomic level), diffraction also occurs with matter and can be studied according to the principles of quantum mechanics. Italian scientist Francesco Maria Grimaldi coined the word ""diffraction"" and was the first to record accurate observations of the phenomenon in 1660.While diffraction occurs whenever propagating waves encounter such changes, its effects are generally most pronounced for waves whose wavelength is roughly comparable to the dimensions of the diffracting object or slit. If the obstructing object provides multiple, closely spaced openings, a complex pattern of varying intensity can result. This is due to the addition, or interference, of different parts of a wave that travels to the observer by different paths, where different path lengths result in different phases (see diffraction grating and wave superposition). The formalism of diffraction can also describe the way in which waves of finite extent propagate in free space. For example, the expanding profile of a laser beam, the beam shape of a radar antenna and the field of view of an ultrasonic transducer can all be analyzed using diffraction equations.