Publications of Grover A. Swartzlander, Jr.

Also see https://ritdml.rit.edu/browse?value=Swartzlander%2C+Grover+Jr&type=author

Astronomy
Applied
Optics
Partial
Coherence
Linear Optical Vortices
Vortex Solitons
Optical Trapping
1-D Spatial Solitons
and Self-Bending
Education
Optical vortex coronagraph Achromatic Optical Vortex Lens Optical Rankine Vortex / Anomalous Circulation Holographic Formation of Optical-Vortex Filaments Optical vortex solitons observed in Kerr nonlinear media Optical vortex trapping of particles Spatial dark-soliton stripes and grids in self-defocusing materials Writing in the Optics Curriculum
Verification of an Optical Vortex Coronagraph Broadband nulling of a vortex phase mask Spatial coherence singularities / Incoherent vortex solitons Experimental Observation of Fluidlike Motion of Optical Vortices Optical vortex solitons and the stability of dark soliton stripes Insertion of Microscopic Objects Through Plant Cell Walls Using Laser Microsurgery Self-bending of a cw laser beam in sodium vapor Integrating Writing into the Optics Curriculum
High Strehl Testbed for Planet Finding Coronagraphs Observed Scattering into a Dark Optical Vortex Core Temporal correlation vortices / Topological dispersion Propagation Dynamics of Optical Vortices Polarized Optical Vortex Solitons: Instabilities and dynamics in Kerr nonlinear media Trapping of Low-Index Microparticles in an Optical Vortex Continuous-wave self-deflection effect in sodium vapor Interactive
Freshman
Electromagnetism
Peering into darkness with a vortex spatial filter Peering into darkness Spatial Correlation Singularity of a Vortex Field Composite Optical Vortices Optical Vortex Solitons Simultaneous Trapping of Low-Index and High-Index Microparticles Observed with an Optical-Vortex Trap Self-deflection of laser beams in a thin nonlinear film  
. Optical transistor effect using an optical vortex soliton Spatial correlation vortices in partially coherent light: theory Optical vortex filaments Nonlinear cusp diffraction catastrophe and vortex quadrupoles from a smooth initial beam Hechtian strand investigations using optical microsurgery techniques Direct measurement of the transverse velocity of dark spatial solitons  
. The pinched optical vortex soliton   Indistinguishability limit for off-axis vortex beams in uniaxial crystals Waveguiding dynamics of optical vortex solitons   Spectral measurement of the nonlinear refractive index in ZnSe using self-bending of a pulsed laser beam  
. Dark-soliton prototype devices: analysis by using direct-scattering theory     Observed rotational enhancement of nonlinear optical vortices   Numerical Modeling of Nonlinear Beam Propagation Phenomena  
. .     Nonlinear optical catastrophe from a smooth initial beam   Asymptotic Behavior of the Self-Defocusing Nonlinear Schrodinger Equation for Piecewise Constant Initial Conditions  
.              

Publications:

Optical vortex coronagraph
Opt. Lett. 30, 3308-3310 (2005)
Gregory Foo, David M. Palacios, and Grover A. Swartzlander, Jr.
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We describe a method to observe dim exoplanets that eliminates light from the parent star across the entire exit pupil without sacrificing light from the planet by use of a vortex mask of topological charge m=2.

Broadband nulling of a vortex phase mask
Opt. Lett. 30, 2876-2878 (2005)
Grover A. Swartzlander, Jr.
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A pulse transmitted through a helical vortex phase mask undergoes a temporal Hilbert transform. The fluence transmitted into the unfavorable plane wave mode is found to increase as the square of the bandwidth and, to first order, is independent of the topological charge.

Spatial coherence singularities and incoherent vortex solitons
JOSA B 22, 1437-1442 (2005)
Kristian Motzek, Yuri S. Kivshar, Ming-Feng Shih, and Grover A. Swartzlander, Jr.
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We study spatially localized optical vortices created by self-trapping of partially incoherent light with a phase dislocation in a biased photorefractive crystal. In contrast to a decay of coherent self-trapped vortex beams due to the azimuthal modulational instability, the incoherent vortices are stabilized for large values of the spatial incoherence; this was confirmed by experiment. We analyze the spatial coherence properties of the incoherent optical vortices and reveal the existence of ringlike singularities in the spatial coherence function of a vortex field that can characterize the stable propagation of vortices through nonlinear media.

Spatial correlation vortices in partially coherent light: theory
JOSA B 21, 1895-1900 (2004)
Ivan D. Maleev, David M. Palacios, Arvind S. Marathay, and Grover A. Swartzlander, Jr.
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Spatial correlation vortex dipoles may form in the four-dimensional mutual coherence function when a partially coherent light source contains an optical vortex. Analytical and numerical investigations are made in near- and far-field regimes.

Temporal Correlation Vortices and Topological Dispersion
Phys. Rev. Lett. 93, 093901(1-4)
G. A. Swartzlander, Jr. and Joanna Schmit
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Interference measurements of a polychromatic partially coherent light source verify the existence of a temporal correlation vortex. Topological dispersion is found to destabilize this singularity.

Spatial Correlation Singularity of a Vortex Field
Phys. Rev. Lett. 92, 143905(1-4) 2004
D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr.
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Experimental and numerical techniques allowed us to predict and verify the existence of a robust phase singularity in the spatial coherence function when a vortex is present. Though observed in the optical domain, this phenomenon may occur in any partially coherent vortex wave.

Composite Optical Vortices
JOSA B 11, 1169-1176 (2003)
I. D. Maleev and G. A. Swartzlander, Jr.
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Composite optical vortices may form when two or more beams interfere. Using analytical and numerical techniques, we describe the motion of these optical phase singularities as the relative phase or amplitude of two interfering collinear nonconcentric beams is varied. The creation and the annihilation of vortices are found, as well as vortices having translational velocities exceeding the speed of light.

Interactive Freshman Electromagnetism
ASEE/IEEE Frontiers in Education Conference Proceedings
Paper 1313, IEEE Catalog No. 02CH37351C, ISBN: 0-7803-7445-2
G. A. Swartzlander, Jr. and L. Lebduska
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Electromagnetism is the most complete and tested branch of physics. Lacking knowledge of vector calculus and field theory, freshmen are introduced only to snippets of the full picture, and finish the course generally unenthusiastic about the role of electromagnetism in their lives. In response to a need for more interactive learning, we designed an electromagnetism course that incorporated writing-to-learn principles that allowed students to meld in-class theory with real-world practice. Course exercises included writing biographies or describing an electro-magnetic phenomenon or device. Students "published" their drafts and final papers on the open-access web. This exercise necessitated that students understand principles sufficiently to break them down for a general audience and also gave them a sense of ownership and pride knowing that others may read their work. We will discuss how we conducted this course and provide examples of student work resulting from the course.

Nonlinear cusp diffraction catastrophe and vortex quadrupoles from a smooth initial beam
J. Nonlinear Opt. Phys. and Mat., 11 No. 4, 351-365 (2002)
A. M. Deykoon, M. S. Soskin, and G. A. Swartzlander, Jr.
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Vortex quadrupoles and a nonlinear optical cusp diffraction catastrophe were observed at the output face of a self-defocusing nonlinear medium. The initial beam had a smooth cross-sectional intensity profile, but was elongated to an aspect ratio of 2:1. The power-dependent evolution of the beam is described.

Observed Scattering into a Dark Optical Vortex Core
Phys. Rev. Lett., 88, 103902, 1-4 (2002)
David Palacios, David Rozas, and Grover A. Swartzlander, Jr.
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The dark core of an optical vortex was used to detect on-axis, forward-scattered light from a colloidal solution in the single and multiple scattering regimes. Using no adjustable parameters we obtain good agreement with a concentration-dependent scattering model.

Peering Into Darkness
Optics & Photonics News p. 34, Dec 2001
G. A. Swartzlander, Jr.
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Peering into darkness with a vortex spatial filter
Opt. Lett. 26, 497-499 (2001)
G. A. Swartzlander, Jr.
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I propose to use as a window the dark core of an optical vortex to examine a weak background signal hidden in the glare of a bright coherent source. Applications such as the detection of an astronomical object, forward-scattered radiation, and incoherent light are described whereby signal enhancements of at least 7 orders of magnitude may be achieved.

Optical Vortex Solitons
book chapter in OPTICAL SCIENCES, Spatial Solitons
S. Trillo, W. E. Torruellas, (Eds.), Springer Verlag
G.A. Swartzlander, Jr.

The pinched optical vortex soliton
J. Opt. Soc. Am. B 18, 804-810 (2001)
A.M. Deykoon and G.A. Swartzlander, Jr.
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The fast contraction, or pinching, of optical vortices in both thermal and Kerr self-defocusing media is investigated by numerical techniques. For the thermal case, heat diffusion across the vortex core is described, and the heretofore unexplained stability of optical-vortex solitons in thermal media is explained.

Hechtian strand investigations using optical microsurgery techniques
Plant Physiology 122, 1365-1377 (2000)
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C.S. Buer, P.J. Weathers, and G.A. Swartzlander, Jr.
Optical microsurgical techniques were employed to investigate the mechanical properties of Hechtian strands in tobacco (Nicotiana tabacum) and Ginkgo biloba callus cells. Using optical tweezers, a 1.5- mm diameter microsphere coated with concanavalin A was inserted though an ablated hole in the cell wall of a plasmolyzed cell and attached to a Hechtian strand. By displacing the adhered microsphere from equilibrium using the optical trapping force, the tensions of individual strands were determined. Measurements were made using both normal and cold-hardened cells, and in both cases, tensions were on the order of 10-12 N. Significant differences were found in the binding strengths of cold-hardened and normal cultured cells. An increased number density of strands in cold-hardened G. biloba compared with normal cultured cells was also observed. Although no Hechtian strands were detected in any Arabidopsis callus cells, strands were present in leaf epidermal cells. Finally, the movement of attached microspheres was monitored along the outside of a strand while cycling the osmotic pressure.

Observed rotational enhancement of nonlinear optical vortices
Opt. Lett. 25, 126-128 (2000)
D. Rozas and G.A. Swartzlander, Jr.
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The propagation dynamics of an optical vortex pair is experimentally confirmed to experience enhanced rotation in a self-defocusing medium. We measured this effect to be 3.5 times larger than in linear media. The enhancement is attributed to nonlinear refraction within the dark vortex cores, permitting the vortices to propagate as vortex filaments.

Waveguiding dynamics of optical vortex solitons
Opt. Lett. 24, 55-57 (2000)
C. T. Law, Xingang Zhang, and G. A. Swartzlander, Jr.
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An optical vortex soliton induces a graded-index waveguide over an extended propagation distance in a self-defocusing nonlinear optical medium. Using numerical techniques, we determine the waveguide dispersion and optimal size of the guided beam.

Optical vortex filaments
book chapter in Optical Vortices (Volume 228 in Horizons in World Physics), Mikhail Vasnetsov (Ed)
G.A. Swartzlander, Jr.
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Nonlinear optical catastrophe from a smooth initial beam
Opt. Lett., 24, 1224-1226 (1999),
A.M. Deykoon, M.S. Soskin, and G.A. Swartzlander, Jr.
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We observed an optical cusp diffraction catastrophe with an initially smooth but elongated Gaussian beam with an aspect ratio of 2:1. Nonlinear and linear diffraction regimes account for the near-field elliptical annulus and the far-field spatially complex astroid.

Simultaneous Trapping of Low-Index and High-Index Microparticles Observed with an Optical-Vortex Trap
J. Opt. Soc. Am. B. 16, 533-537 (1999)
K.T. Gahagan and G.A. Swartzlander, Jr
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We report the first observation of the simultaneous three-dimensional confinement of both a low-index particle and a high-index particle within a single-beam optical trap by using a strongly focused laser beam containing an optical vortex. Experimental and theoretical investigations of the trap stability are described.

Differences in Optical Trapping Prompt Investigations of Agrobacterium Surface Characteristics
J. Industrial Microbiology and Biotechnology, 21, 233-236 (1998)
CS Buer, KT Gahagan, GA Swartzlander, Jr., and PJ Weathers
Order
Comparison of the optical trapping efficiency of Agrobacterium rhizogenes and A. tumefaciens strains indicates the A. rhizogenes strain, ATCC 11325, is significantly less efficiently trapped than A. rhizogenes A4, ATCC 15834, and the A. tumefaciens strain LBA4404. Differences were also found in capsule generation, growth media viscosity, and transmissions electron microscopy negative staining. These observations imply a difference in surface structure exists. Calcofluor fluorescence suggests the difference involves an exopolysaccharide.

Holographic Formation of Optical-Vortex Filaments
J. Opt. Soc. Am. B, 15, 2226-2234 (1998)
Z.S. Sacks, D. Rozas, and G.A. Swartzlander, Jr.
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An optical-vortex filament is characterized by a dark core of vanishing size and fluidlike propagation dynamics in the near-field region. This type of phase singularity does not naturally occur as an eigenmode of a cylindrically symmetric system, but it can be easily formed by computer-generated holography. The size of the core is an important attribute affecting vortex - vortex interactions within a laser beam. Here we demonstrate a means to minimize the core size, and we experimentally show that a beam-to-core size ratio exceeding 175 may be readily achieved.

Trapping of Low-Index Microparticles in an Optical Vortex
J. Opt. Soc. Am. B, 15, 524-534 (1998)
K.T. Gahagan and G.A. Swartzlander, Jr.
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The equilibrium position of a low-index particle in an optical-vortex trap was experimentally measured for two different systems: a buoyant hollow glass sphere in water and a density-matched water droplet in acetophenone. Vortex traps are the only known static, single-beam configurations allowing three-dimensional trapping of such particles in the size range of 2-50 um. The trap consists of a strongly focused Gaussian laser beam containing a holographically produced optical vortex. Using experimental and theoretical techniques, we also explored changes in the trapping efficiency owing to the vortex core size, the relative refractive index, and the numerical aperture of the focusing objective.

Insertion of Microscopic Objects Through Plant Cell Walls Using Laser Microsurgery
Biotechnology and Bioengineering, 60, 348-355 (1998)
C.S. Buer, K.T. Gahagan, G.A. Swartzlander, Jr., P.J. Weathers
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A detailed protocol is presented for precisely inserting microscopic objects into the periplasmic region of plant callus cells using laser microsurgery. Ginkgo biloba and Agrobacterium rhizogenes were used as the model system for developing the optical tweezers and scalpel techniques using a single laser. We achieved better than 95% survival after plasmolyzing G. biloba cells, ablating a 2-4um hole through the cell wall using a pulsed UV laser beam, trapping and translating bacteria into the periplasmic region using a pulsed infrared laser beam, and then deplasmolyzing the cells. Insertion of bacteria is also described. A thermal model for temperature changes of trapped bacteria is included. Comparisons with other methods, such as a reverse-pressure gradient technique, are discussed and additional experiments on plants using laser microsurgery are suggested.

Experimental Observation of Fluidlike Motion of Optical Vortices
Phys. Rev. Lett, 79, 3399-3402 (1997)
D. Rozas, Z.S. Sacks, & G.A. Swartzlander, Jr.
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We have observed the fluidlike rotation of a pair of identical optical vortices (OV's) as they propagate through free space. Similar to vortex filaments in a fluid, the initial rotation rate is found to be inversely proportional to the squared distance of seperation. Owing to unusually small vortex cores, we obtained rotation rates that were 2 orders of magnitude larger than expected for "conventional" large core OV's.

Propagation Dynamics of Optical Vortices
J. Opt. Soc. Amer. B, 14, 3054-3065 (1997)
D. Rozas, C.T. Law, G.A. Swartzlander, Jr.
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Optical vortices in linear and nonlinear media may exhibit propagation dynamics similar to hydrodynamic vortex phenomena. Analytical and numerical methods are used to describe and investigate the interaction between vortices and the background field. We demonstrate that optical vortices that have quasi-point core functions, such as opotical vortex solitons, may orbit one another at rates that are orders of magnitude larger than those with nonlocalized cores.

Numerical Modeling of Nonlinear Beam Propagation Phenomena
Materials Research Society Symposium Proceedings Series, 467. 322 (1997)
G. A. Swartzlander, Jr., A. M. Deykoon, D. W. Jackson, and C. T. Law
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Optical vortex trapping of particles
Optics Letters, 21, 827-829 (1996)
K. T. Gahagan and G. A. Swartzlander Jr.
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We demonstrate three-dimensional trapping of low-index particles (20-µ-diameter hollow glass spheres in water) by using a single, strongly focused, stationary dark optical vortex laser beam. The holographically generated vortex, which is similar to a TEM01* mode beam, was also used to trap and form ring patterns of high-index particles.

Optical transistor effect using an optical vortex soliton
Laser Physics, 5, 704 (1995)
G.A. Swartzlander, Jr., D. L. Drugan, N. Hallak, M.O. Freeman, and C.T. Law
An optical vortex soliton (OVS) induces a cylindrical waveguide (analogous to a graded optical fiber with variable size) within a self-defocusing nonlinear medium. The guiding efficiency is experimentally modulated by passing a pulsed laser through the dark vortex core. Like an electronic transistor, we find that the greater the pump intensity (bias current), the greater the guiding efficiency and sensitivity (transconductance).

Asymptotic Behavior of the Self-Defocusing Nonlinear Schrodinger Equation for Piecewise Constant Initial Conditions
J. Opt. Soc. Amer. B, 12, 698-703 (1995)
P.B. Lundquist, D.R. Andersen, and G.A. Swartzlander, Jr.
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In this paper we use a transfer matrix method to calculate the asymptotic behavior of the nonlinear Schrodinger (NLS) equation in a self-defocusing medium for piecewise constant initial conditions. Treating initial conditions that consist of m repeated regions, we show that the eigenvalues associated with this problem appear in bands, and, as m tends to infinity, we obtain the eigenvalue density of states for these bands. Comparing results from the transfer matrix approach to the results for a Bloch function method, we show that the edges of a region with periodic initial conditions result in a finite number of additional eigenvalues that appear outside the bands.

Polarized Optical Vortex Solitons: Instabilities and dynamics in Kerr nonlinear media
Chaos, Solitons & Fractals 4, 1759 (1994). C.T. Law and G.A. Swartzlander, Jr.
Optical vortex solitons are known to be stable in a scalar nonlinear system, and they have even been observed. We now explore the effects of polarization on the vortices, and find that they asre unstable in Kerr defocusing media, except when the beam is circularly polarized. Numerical simulations verify this and show remarkable beam evolution, including vortex shedding and reversal of topological charge.

Self-bending of light: comment
Optics Letters -- January 1, 1994 -- Volume 19, Issue 1, p. 71
A. E. Kaplan and G. A. Swartzlander Jr.
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We believe that the effect observed by Xing et al. [Opt. Lett. 18, 479 (1993)] is essentially cross-phase modulation. It was inaccurately identified as self-bending of light, which is a self-action effect well known in the literature.

Optical vortex solitons and the stability of dark soliton stripes
Optics Letters 18, 586-588 (1993)
C. T. Law and G. A. Swartzlander Jr.
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Dark soliton stripes are robust but can decay into optical vortex solitons when subjected to a persistent, long-period, transverse modulation. We explore the nonlinear dynamics of this symmetry-breaking process and determine growth rates, vortex densities, and other characteristics by conducting a nonlinear stability analysis that uses numerical techniques for several cases of special interest.

Optical vortex solitons observed in Kerr nonlinear media
Phys. Rev. Lett. 69, 2503-2506 (1992)
G.A. Swartzlander, Jr. and C.T. Law
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Optical vortex-soliton filaments are observed in a bulk self-defocusing Kerr nonlinear refractive medium. The dark cylindrical core, located at the axis of the 2 pi helical phase ramp, is stationary and stable, with a size that depends inversely on the field strength. Wave guiding of a weak probe beam within the core is reported. A single optical vortex soliton was experimentally and numerically investigated using a convective Kelvin-Helmholtz instability of dark soliton stripes.

Dark-soliton prototype devices: analysis by using direct-scattering theory
Optics Letters 17, 493-495 (1992)
G. A. Swartzlander Jr.
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Signals encoded as highly stable spatial (or temporal) dark solitons can be used in nonlinear-optical devices such as logic gates, interconnects, multiplexers, and filters. The formation of these waves with the use of simple diffracting (dispersing) elements in prototypical devices is analyzed by using the direct-scattering method, which is also outlined. Noncollisional dark-soliton xor and and gates and dark-soliton level splitting and bands are also described.

Spatial dark-soliton stripes and grids in self-defocusing materials
Phys. Rev. Lett. 66, 1583-1586 (1991)
G.A. Swartzlander, Jr., D.R. Andersen, J. J. Regan, H. Yin, and A.E. Kaplan
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Spatial dark-soliton (SDS) stripes are experimentally found in the transverse plane of a laser beam that passes through a rectilinear diffraction screen before propagating in a self-defocusing nonlinear material. Materials with different mechanisms of nonlinearity manifest the same qualitative results. The SDS nature of the observed phenomenon is verified by numerical simulations of the (2+1)-D nonlinearr Schrodinger equation, analytical solutions for the (1+1)-D case, and their comparison with experimental data.

Spectral measurement of the nonlinear refractive index in ZnSe using self-bending of a pulsed laser beam
Optics Letters 15, 1431-1433 (1990)
Y. J. Ding, C. L. Guo, G. A. Swartzlander Jr., J. B. Khurgin, and A. E. Kaplan
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The nonlinear refractive-index (n2) spectrum of ZnSe near the band gap (~ 450 nm) at 77 K was measured for the first time to our knowledge by using self-bending of a pulsed laser beam. The maximum nonlinearity, n2 ~ 1.9 X 10-8 cm2/W, measured by us is anomalously large, which can be explained by conventional thermally induced band-gap shrinkage.

Direct measurement of the transverse velocity of dark spatial solitons
Optics Letters 15, 783-785 (1990)
David R. Andersen, Duane E. Hooton, Grover A. Swartzlander Jr., and Alexander E. Kaplan
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We describe the direct experimental measurement of the transverse propagation velocities of dark spatial solitons. Good agreement is obtained from a comparison of the velocities measured experimentally and the velocities predicted by the two-dimensional theory of Zakharov and Shabat [Sov. Phys. JETP 37, 823 (1973)].

Continuous-wave self-deflection effect in sodium vapor
J. Opt. Soc. Amer. B 6, 1317-1325 (1989)
G.A. Swartzlander, Jr., H. Yin, and A.E. Kaplan
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Observations of the self-deflection effect for an asymmetrical continuous-wave laser beam in sodium vapor are described, and comparisons based on theoretical calculations are made. A self-bending angle as large as eight diffraction widths was recorded, and strong attenuation of the on-axis radiation due to self-bending was measured. At ~ 200 °C the self-deflection angle increased linearly with beam power, and we determined that (n2)max ~ 10 7 cm2/W for intensities below 220 W/cm2. While numerical calculations, based on an inhomogeneously broadened two-level system, predict strong saturation of the self-bending effect, we observed only moderate saturation.

Self-bending of a cw laser beam in sodium vapor
Optics Letters 13, 1011-1013 (1988)
G. A. Swartzlander Jr., H. Yin, and A. E. Kaplan
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Continuous-wave self-deflection of an asymmetrical laser beam, with a deflection angle up to eight diffraction widths, and strong attenuation of the on-axis radiation were achieved in a short sodium-vapor cell. We determined that the nonlinear refractive index &Delta n varied almost linearly with intensity I, &Delta n ~ n2I, with n2 ~ 10-7 cm2/W at ~ 200° C and intensities less than 220 W/cm2.

Self-deflection of laser beams in a thin nonlinear film
J. Opt. Soc. Amer. B 5, 765-768 (1988)
G.A. Swartzlander, Jr. and A.E. Kaplan.
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The self-deflection of slab laser beams with right-triangular and semi-Gaussian intensity profiles that pass through a thin nonlinear film are compared, and semi-Gaussian beam profiles are found to produce near-maximum self-deflection angles. We also compare symmetric profiles (both triangular and Gaussian), which, instead of self-(de)focusing, exhibit strongly counter-self-deflected beams in the far-field region. This evidence indicates that the self-deflection effect can dominate over self-focusing.

Published Photographs:

Prof. Charles Falco with portrait by Lorenzo Lotto, (October 2004, Rochester, New York). Physics Today, Dec. 2004, in "Issue and Events" article, "Debate over optics in early art is focus of OSA Gathering," p. 31 and p. 5


Last Updated: October 2007
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