Beam-shaping unit for micromachining

Laskin, Alexander; Laskin, Vadim; Šiaulys, Nerijus; Šlekys, G.

doi:10.1117/2.1201311.005038

Cited by 8 publications

(9 citation statements)

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“…Especially, Wucknitz and Sperhake [9] investigated the deflection of test particles in the time-dependent field of a radially (or longitudinally) moving Schwarzschild source in the first post-Minkowskian (PM) approximation. Given the rapid progresses achieved in astronomical observations [13,14,15,16,17,18], we can expect that the kinematical effects on the higher-order deflection might be detectable in near future and are therefore worthy of our considerations. Recently, on the basis of numerical calculations, we studied the velocity-correctional effects on the second-order contributions to the gravitational deflection of relativistic test particles including photon in the equatorial plane of a radially and constantly moving Kerr-Newman (KN) black hole [19].…”

Section: Introductionmentioning

confidence: 99%

Analytical derivation of second-order deflection in the equatorial plane of a radially moving Kerr–Newman black hole

He¹,

Lin²

2017

Class. Quantum Grav.

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In this work, we base on the second-order post-Minkowskian equations of motion, and apply an iterative technique to analytically derive the gravitational deflection of the relativistic particles in the equatorial plane of Kerr-Newman black hole with a radial (or longitudinal) and constant velocity. We find that the kinematically correctional effects on the second-order contributions to the deflection can be expressed into a very compact form, which are valid for both the massive particle and photon. Our result reduces to the previous formulation for the first-order deflection caused by a moving Schwarzschild black hole when the second-order contributions are dropped.

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Section: Introductionmentioning

confidence: 99%

Analytical derivation of second-order deflection in the equatorial plane of a radially moving Kerr–Newman black hole

He¹,

Lin²

2017

Class. Quantum Grav.

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“…The pioneering work of obtaining the first-order gravitational delay of radar echo signals was carried out by Shapiro [11] to test general relativity [12]. In later studies [8,[13][14][15][16][17][18][19], the second-order relativistic corrections including mass-and spin-induced effects were considered to extend his result, owing to the rapid progresses made in observational accuracy [20][21][22][23][24][25]. Especially, Richter and Matzner [13] used the Lagrangian function to investigate the second-order delay of signals caused by the spinning solar gravitational system, based on the parametrized post-linear metric.…”

Section: Introductionmentioning

confidence: 99%

Second order Kerr-Newman time delay

Lin

2016

Phys. Rev. D

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The explicit form for the post-Newtonian gravitational time delay of light signals propagating on the equatorial plane of a Kerr-Newman black hole is derived. Based on the null geodesic in Kerr-Newman spacetime, we adopt the iterative method to calculate the time delay. Our result reduces to the previous formulation for Kerr black hole if we drop off the contribution from the electrical charge. Our time-delay formula for the Reissner-Nordström geometry is different from the previous publication [Phys. Rev. D 69, 023002 (2004)], in which the largest second-order contribution to the time delay is missing.

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“…However, the technique is promising and research is continuing to develop it for use on space-based astronomy (and earth observation) missions. Preston et al [18,20] and Preston and Mueller [19] have studied the shear strength of SiC, BK7 and Super Invar with satellite missions like eLISA [48] and SIM [75] in mind. Green et al [21,22] HCB for application in small and large adaptive mirrors for very large telescopes has been studied by Strachan et al [23,24], particularly for bonding PZT (lead zirconate titanate) actuators to silicon and SiC mirror substrates.…”

Section: Other Astronomical Applicationsmentioning

confidence: 99%

Hydroxide catalysis bonding for astronomical instruments

Veggel

Killow

2014

Advanced Optical Technologies

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Hydroxide catalysis bonding (HCB) as a jointing technique has been under development for astronomical applications since ∼1998 (patented by D.-H. Gwo). It uses an aqueous hydroxide solution to form a chemical bond between oxide or oxidisable materials (e.g., SiO 2 , sapphire, silicon and SiC). It forms strong, extremely thin bonds, and is suitable for room temperature bonding, precision alignment, operation in ultra-low vacuum and down to temperatures of 2.5 K. It has been applied in the NASA satellite mission Gravity Probe B and in the ground-based gravitational wave (GW) detector GEO600. It will soon fly again on the ESA LISA Pathfinder mission and is currently being implemented in the Advanced LIGO and Virgo ground-based GW detectors. This technique is also of considerable interest for use in other astronomical fields and indeed more broadly, due to its desirable, and adjustable, combination of properties. This paper gives an overview of how HCB has been and can be applied in astronomical instruments, including an overview of the current literature on the properties of hydroxide catalysis bonds.

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Beam-shaping unit for micromachining

Cited by 8 publications

References 0 publications

Analytical derivation of second-order deflection in the equatorial plane of a radially moving Kerr–Newman black hole

Analytical derivation of second-order deflection in the equatorial plane of a radially moving Kerr–Newman black hole

Second order Kerr-Newman time delay

Hydroxide catalysis bonding for astronomical instruments

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