Kaido Reivelt - Academia.edu (original) (raw)
Papers by Kaido Reivelt
Laser Physics, 2007
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In recent years the topic of localized wave solutions of the homogeneous scalar wave equation, i.... more In recent years the topic of localized wave solutions of the homogeneous scalar wave equation, i.e., the wave fields that propagate without any appreciable spread or drop in intensity, has been discussed in many aspects in numerous publications. In this review the main results of this rather disperse theoretical material are presented in a single mathematical representation - the Fourier decomposition by means of angular spectrum of plane waves. This unified description is shown to lead to a transparent physical understanding of the phenomenon as such and yield the means of optical generation of such wave fields.
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Physical Review E, 2002
The homogeneous scalar wave equation has a number of so-called localized wave (LW) solutions, ins... more The homogeneous scalar wave equation has a number of so-called localized wave (LW) solutions, instantaneous, Gaussian pulselike intensity distribution of which propagates without any spread or distortions in free space. Despite the undoubtedly intriguing properties and considerable effort that has been made to implement such wave fields, in the optical domain only their limiting case-the so-called Bessel-X pulses-has been experimentally launched so far. In this paper we report on experimental evidence of the optical realizability of the "fundamental" special case of the LW's-the focus wave modes.
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Physical Review E, 2002
One of the most frequently discussed problems in construction of localized wave (LW) solutions of... more One of the most frequently discussed problems in construction of localized wave (LW) solutions of the homogeneous scalar wave equation has been their energy content--the LW's generally have infinite energy content and special methods have to be used to obtain physically realizable wave fields. So far the problem has mainly been addressed as a pure mathematical one and the proposed LW's can hardly be implemented in optics. In this paper we propose an approach for constructing physically realizable LW's that have a transparent interpretation in terms of optical setups. It will be shown that such LW's can be derived as finite aperture approximations of fundamental LW's, the focus wave modes.
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2006 Northern Optics, 2006
ABSTRACT The feasibility of localized waves - the best approximation to non-diffracting, spatiall... more ABSTRACT The feasibility of localized waves - the best approximation to non-diffracting, spatially and temporally localized "light bullets" in vacuum - has been discussed over the past two decades. Recently the first experimental evidence of their generation has been published. In this paper we propose an optical setup for launching optical superluminal localized waves that take advantage of the diffraction properties of a special optical element - cylindrical diffraction grating.
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Localized Waves, 2008
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Physical Review Letters, 1997
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Physical Review E, 2004
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Optics Letters, 2004
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Optics Communications, 2007
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Journal of the Optical Society of America A, 2001
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Journal of Optics A: Pure and Applied Optics, 2006
Simple practical model approximations to the so-called focused X wave---a pulsed wave propagating... more Simple practical model approximations to the so-called focused X wave---a pulsed wave propagating superluminally in vacuum or in a linear medium, which attracts attention due to its spread-free strong spatial localization---are derived. The experimental feasibility of the model waves in the optical domain is discussed and their radial decay is analysed.
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Science and Technology of Advanced Materials, 2011
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Laser Physics, 2007
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In recent years the topic of localized wave solutions of the homogeneous scalar wave equation, i.... more In recent years the topic of localized wave solutions of the homogeneous scalar wave equation, i.e., the wave fields that propagate without any appreciable spread or drop in intensity, has been discussed in many aspects in numerous publications. In this review the main results of this rather disperse theoretical material are presented in a single mathematical representation - the Fourier decomposition by means of angular spectrum of plane waves. This unified description is shown to lead to a transparent physical understanding of the phenomenon as such and yield the means of optical generation of such wave fields.
Bookmarks Related papers MentionsView impact
Physical Review E, 2002
The homogeneous scalar wave equation has a number of so-called localized wave (LW) solutions, ins... more The homogeneous scalar wave equation has a number of so-called localized wave (LW) solutions, instantaneous, Gaussian pulselike intensity distribution of which propagates without any spread or distortions in free space. Despite the undoubtedly intriguing properties and considerable effort that has been made to implement such wave fields, in the optical domain only their limiting case-the so-called Bessel-X pulses-has been experimentally launched so far. In this paper we report on experimental evidence of the optical realizability of the "fundamental" special case of the LW's-the focus wave modes.
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Physical Review E, 2002
One of the most frequently discussed problems in construction of localized wave (LW) solutions of... more One of the most frequently discussed problems in construction of localized wave (LW) solutions of the homogeneous scalar wave equation has been their energy content--the LW's generally have infinite energy content and special methods have to be used to obtain physically realizable wave fields. So far the problem has mainly been addressed as a pure mathematical one and the proposed LW's can hardly be implemented in optics. In this paper we propose an approach for constructing physically realizable LW's that have a transparent interpretation in terms of optical setups. It will be shown that such LW's can be derived as finite aperture approximations of fundamental LW's, the focus wave modes.
Bookmarks Related papers MentionsView impact
2006 Northern Optics, 2006
ABSTRACT The feasibility of localized waves - the best approximation to non-diffracting, spatiall... more ABSTRACT The feasibility of localized waves - the best approximation to non-diffracting, spatially and temporally localized "light bullets" in vacuum - has been discussed over the past two decades. Recently the first experimental evidence of their generation has been published. In this paper we propose an optical setup for launching optical superluminal localized waves that take advantage of the diffraction properties of a special optical element - cylindrical diffraction grating.
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Localized Waves, 2008
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Physical Review Letters, 1997
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Physical Review E, 2004
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Optics Letters, 2004
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Optics Communications, 2007
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Journal of the Optical Society of America A, 2001
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Journal of Optics A: Pure and Applied Optics, 2006
Simple practical model approximations to the so-called focused X wave---a pulsed wave propagating... more Simple practical model approximations to the so-called focused X wave---a pulsed wave propagating superluminally in vacuum or in a linear medium, which attracts attention due to its spread-free strong spatial localization---are derived. The experimental feasibility of the model waves in the optical domain is discussed and their radial decay is analysed.
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Science and Technology of Advanced Materials, 2011
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