Lorentz group in classical ray optics
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Lorentz group in classical ray optics
It has been almost 100 years since Einstein formulated his special theory of relativity in 1905. He showed that the basic space–time symmetry is dictated by the Lorentz group. It is shown that this group of Lorentz transformations is not only applicable to special relativity, but also constitutes the scientific language for optical sciences. It is noted that coherent and squeezed states of ligh...
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It has been almost one hundred years since Einstein formulated his special theory of relativity in 1905. He showed that the basic space-time symmetry is dictated by the Lorentz group. It is shown that this group of Lorentz transformations is not only applicable to special relativity, but also constitutes the scientific language for optical sciences. It is noted that coherent and squeezed states...
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The Lorentz group is the fundamental language for space-time symmetries of relativistic particles. This group can these days be derived from the symmetries observed in other branches of physics. It is shown that this group can be derived from optical filters. The group O(2,1) is appropriate for attenuation filters, while the O(3) group describes phase-shift filters. The combined operation leads...
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expand as they propagate along Z and, although their centers drift apart, there is the distinct possibility that they will never be completely separated. Roughly speaking, we expect the beams to remain more or less collimated between z = 0 and z = D2/ , the Rayleigh range2 for a beam of diameter D and wavelength . If at the Rayleigh range the distance between the beam centers is greater than D,...
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ژورنال
عنوان ژورنال: Journal of Optics B: Quantum and Semiclassical Optics
سال: 2004
ISSN: 1464-4266,1741-3575
DOI: 10.1088/1464-4266/6/6/001