Faculty of Natural Sciences and Mathematics
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Item type:Publication, Relativistic addition of parallel velocities from Lorentz contraction and time dilation(American Association of Physics Teachers (AAPT), 2006-09) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Aberration of light in a uniformly moving optical medium(American Association of Physics Teachers (AAPT), 2004-07) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Einstein’s mirror and Fermat’s principle of least time(American Association of Physics Teachers (AAPT), 2004-10) - Some of the metrics are blocked by yourconsent settings
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Item type:Publication, Stabilization of unstable steady states by variable delay feedback control(IOP Publishing, 2008-05-27); Viktor UrumovWe report on a dramatic improvement of the performance of the classical time-delayed autosynchronization method (TDAS) to control unstable steady states, by applying a time-varying delay in the TDAS control scheme in a form of a deterministic or stochastic delay-modulation in a fixed interval around a nominal value $T_0$. The successfulness of this variable delay feedback control (VDFC) is illustrated by a numerical control simulation of the Lorenz and R\"{o}ssler systems using three different types of time-delay modulations: a sawtooth wave, a sine wave, and a uniform random distribution. We perform a comparative analysis between the VDFC method and the standard TDAS method for a sawtooth-wave modulation by analytically determining the domains of control for the generic case of an unstable fixed point of focus type. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Fermat's principle of least time in the presence of uniformly moving boundaries and media(IOP Publishing, 2007-02-13); Aleksandar SkeparovskiThe refraction of a light ray by a homogeneous, isotropic and non-dispersive transparent material half-space in uniform rectilinear motion is investigated theoretically. The approach is an amalgamation of the original Fermat's principle and the fact that an isotropic optical medium at rest becomes optically anisotropic in a frame where the medium is moving at a constant velocity. Two cases of motion are considered: a) the material half-space is moving parallel to the interface; b) the material half-space is moving perpendicular to the interface. In each case, a detailed analysis of the obtained refraction formula is provided, and in the latter case, an intriguing backward refraction of light is noticed and thoroughly discussed. The results confirm the validity of Fermat's principle when the optical media and the boundaries between them are moving at relativistic speeds. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Polarization Measurements - A Numerical Approach(2004-01-21)We developed a specific numerical fitting procedure, based on the least squares method, to calculate the parameters of the polarization ellipse by only using a single polarizer and a detection device for measuring the outgoing intensities. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Einstein's mirror revisited(American Association of Physics Teachers (AAPT), 2007-01-19); We describe a simple geometrical derivation of the formula for reflection of light from a uniformly moving plane mirror directly from the postulates of special relativity. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Relativistic aberration of light as a corollary of relativity of simultaneity(IOP Publishing, 2004-09-02)A new derivation of the relativistic aberration formula for a plane-polarized light wave is presented that does not require any use of the Lorentz transformation. The method is based on a modification of the Huygens-Fresnel principle to include the relativistic effects introduced by the relative motion between the observer and the emitter. The derivation clearly shows that the aberration formula is a direct consequence of the relative simultaneity. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, The Doppler effect from a uniformly moving mirror(IOP Publishing, 2004-09-02)The formula for the frequency shift of a plane-polarized light wave reflected from a uniformly moving mirror is derived directly from the constant light speed postulate and the basic principles of wave optics. Unlike the original derivation by Einstein, our derivation does not involve Lorentz transformations. As such, it lies within the scope of a first course in special relativity.