Zobrazeno 1 - 10
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pro vyhledávání: '"Baskal, S."'
Autor:
Baskal, S., Kim, Y. S.
Paraxial lens optics is discussed to study the continuity properties of the $ABCD$ beam transfer matrix. The two-by-two matrix for the one-lens camera-like system can be converted to an equi-diagonal form by a scale transformation, leaving the off-di
Externí odkaz:
http://arxiv.org/abs/1401.1205
Autor:
Baskal, S., Kim, Y. S.
While the Lorentz group serves as the basic language for Einstein's special theory of relativity, it is turning out to be the basic mathematical instrument in optical sciences, particularly in ray optics and polarization optics. The beam transfer mat
Externí odkaz:
http://arxiv.org/abs/1204.5071
Autor:
Baskal, S., Kuyrukcu, H.
Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equations and the stress-energy tensor. Unification of gravity with electroma
Externí odkaz:
http://arxiv.org/abs/1004.1546
Autor:
Baskal, S., Kim, Y. S.
Publikováno v:
J. Mod. Opt. [57], 1251-1269 (2010)
It is not always possible to diagonalize the optical $ABCD$ matrix, but it can be brought into one of the four Wigner matrices by a similarity transformation. It is shown that the four Wigner matrices can be combined into one matrix with four branche
Externí odkaz:
http://arxiv.org/abs/1002.1234
Autor:
Baskal, S., Kim, Y. S.
Publikováno v:
J. Opt. Soc. Am. A 26 (2009) 2049
The beam transfer matrix, often called the $ABCD$ matrix, is a two-by-two matrix with unit determinant, and with three independent parameters. It is noted that this matrix cannot always be diagonalized. It can however be brought by rotation to a matr
Externí odkaz:
http://arxiv.org/abs/0805.2604
The two-by-two Sp(2) matrix has three parameters with unit determinant. Yet, there are no established procedures for diagonalizing this matrix. It is shown that this matrix can be written as a similarity transformation of the two-by-two Wigner matrix
Externí odkaz:
http://arxiv.org/abs/math-ph/0701028
Autor:
Baskal, S., Kim, Y. S.
The Stokes parameters form a Minkowskian four-vector under various optical transformations. As a consequence, the resulting two-by-two density matrix constitutes a representation of the Lorentz group. The associated Poincare sphere is a geometric rep
Externí odkaz:
http://arxiv.org/abs/quant-ph/0501050
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
Externí odkaz:
http://arxiv.org/abs/quant-ph/0401098
Autor:
Baskal, S., Kim, Y. S.
Publikováno v:
J.Phys.A38:6545-6556,2005
It is possible to associate two angles with two successive non-collinear Lorentz boosts. If one boost is applied after the initial boost, the result is the final boost preceded by a rotation called the Wigner rotation. The other rotation is associate
Externí odkaz:
http://arxiv.org/abs/math-ph/0401032
Autor:
Baskal, S., Kim, Y. S.
Publikováno v:
Phys. Rev. E 67 (2003) 56601
It is shown that the one-lens system in para-axial optics can serve as an optical computer for contraction of Wigner's little groups and an analogue computer which transforms analytically computations on a spherical surface to those on a hyperbolic s
Externí odkaz:
http://arxiv.org/abs/math-ph/0210056