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Light wave manipulation
Phased-array optics is the technology of controlling the phase and amplitude of light waves transmitting, reflecting, or captured (received) by a two-dimensional
Phased-array_optics
Array of antennas creating a steerable beam
phones. The phased array principle is also used in acoustics in such applications as phased array ultrasonics, and in optics. The term "phased array" is also
Phased_array
Technology
phased-array optics (PAO). However, this appears to be a problem addressable by ordinary nanoscale technology. PAO would use the principle of phased-array
Molecular_nanotechnology
Dispersive optical device
A virtually imaged phased array (VIPA) is an angular dispersive device that, like a prism or a diffraction grating, splits light into its spectral components
Virtually_imaged_phased_array
Non-destructive testing method
electromagnetic telecommunications). Phased array optics Corrosion under pipe support inspection. Retrieved on July 13, 2012. Phased Array (PA). Retrieved on July
Phased_array_ultrasonics
Disambiguation article
Linear diode array used in image scanners Microphone array Parametric array of transducers Phased-array optics Photovoltaic array Staring array, an imaging
Array
Camouflage changing continually to match background
the viewer. The system only works when seen from a certain angle. Phased-array optics would implement active camouflage, not by producing a two-dimensional
Active_camouflage
Three-dimensional imaging technique
wavelength of light with adjustable phase and brightness. Such displays fall into the category of phased array optics. Further progress in nanotechnology
Computer-generated_holography
Possible future technology
Gravitational shielding Gamma-ray laser Monopolium Muon collider Neutronium Phased-array optics Picotechnology Plasmonster Room-temperature superconductor Space-time
List of hypothetical technologies
List_of_hypothetical_technologies
Topics referred to by the same term
obsolete unit of mass and (especially) dry measure in South Asia Phased-array optics Pheophorbide a oxygenase, an enzyme Pierre Auger Observatory Polyalphaolefin
Pao
Inorganic chemical compound of bismuth, germanium and oxygen
sillenites aren't ferroelectric. The materials can find use in phased-array optics. When sputtering, the target has to be kept below 450 °C as otherwise
Bismuth_germanate
Technique used in optical systems
as a deformable mirror or a liquid crystal array. Adaptive optics should not be confused with active optics, which work on a longer timescale to correct
Adaptive_optics
Urban large-scale air purifier
field Plasma window Immersive virtual reality Magnetic refrigeration Phased-array optics Thermoacoustic heat engine Topics Automation Collingridge dilemma
Smog_tower
Narrow beam of electromagnetic radiation or charged particles
elevation are often described as "pencil-beam" antennas. For example, a phased array antenna can send out a beam that is extremely thin. Such antennas are
Pencil_(optics)
Effect of a material on light
equation Ultrashort pulse Virtually imaged phased array Born, Max; Wolf, Emil (October 1999). Principles of Optics. Cambridge: Cambridge University Press
Dispersion_(optics)
Cryobiologist
Star Trek. These systems were described by Wowk in the chapter "Phased Array Optics" in the 1996 anthology Nanotechnology: Molecular Speculations on
Brian_Wowk
Changing the direction of the main lobe of a radiation pattern
units, galvanometer mechanisms that rotate mirrors, Risley prisms, phased-array optics, and microelectromechanical systems using micro-mirrors. The scope
Beam_steering
Controlled deflection of laser beams
systems. Research is going on to achieve scanning of laser beams through phased arrays. This method is used to scan radar beams without moving parts. With
Laser_scanning
Branch of physics that studies light
Optics is the branch of physics that studies the behaviour, manipulation, and detection of electromagnetic radiation, including its interactions with matter
Optics
Peter Harrison Planetarium, is a 120-seat digital laser planetarium Phased-array optics PHASR, Personnel halting and stimulation response rifle Phoenix (spacecraft)
List_of_laser_articles
Technique used to measure 3D topography using shifted interference
(2024). "Fourier-transform-only method for random phase shifting interferometry". Journal of Optics. 26 (3): 035604. Bibcode:2024JOpt...26c5604S. doi:10
Phase-shifting_interferometry
Ray tracing technique
through the magnet installations of a particle accelerator, see electron optics. This technique, as described below, is derived using the paraxial approximation
Ray_transfer_matrix_analysis
Optical multiplexer component
networks considerably. The devices are based on a fundamental principle of optics, which states that light waves of different wavelengths do not interfere
Arrayed_waveguide_grating
Mathematical method used in optics and acoustics
The transfer-matrix method is a method used in optics and acoustics to analyze the propagation of electromagnetic or acoustic waves through a stratified
Transfer-matrix method (optics)
Transfer-matrix_method_(optics)
Polynomial sequence
Physics and the inventor of phase-contrast microscopy, they play important roles in various optics branches such as beam optics and imaging. There are even
Zernike_polynomials
American engineer
24-GHz 8-element phased array receiver and a 4-element phased array transmitter in CMOS. These were followed by a 77-GHz phased array transceiver (transmitter
Ali_Hajimiri
Class of antennas
general phased array systems work by coherently reassembling signals over the entire array by using circuit elements to compensate for relative phase differences
Metamaterial_antenna
Branch of optics
X-ray optics is the branch of optics dealing with X-rays, rather than visible light. It deals with focusing and other ways of manipulating the X-ray beams
X-ray_optics
Pattern of color filters over an image sensor
Semiconductor Manufacturing. "Dichroic Filter Array Patented Patterned Coatings Technology". Ocean Optics. Archived from the original on 2008-12-04. Retrieved
Color_filter_array
Phase space formulation Phase switch Phase transition Phase velocities Phase velocity Phased-array optics Phased array Phased array ultrasonics Phenomenology
Index_of_physics_articles_(P)
Study in optics
opticsPages displaying short descriptions of redirect targets Nonclassical light Optical coherence tomography Eugene Hecht and Alfred Zajac, Optics,
Coherence_theory_(optics)
Signal processing technique for sensor arrays
equivalent to a "phase shift", so in this case the array of antennas, each one shifted a slightly different amount, is called a phased array. A narrow band
Beamforming
Phenomenon resulting from the superposition of two waves
interference was used by Thomas Young in developing his theories of acoustics and optics. The principle of superposition of waves states that when two or more propagating
Wave_interference
Potential for two waves to interfere
contrast, a radio antenna array, has large spatial coherence because antennas at opposite ends of the array emit with a fixed phase-relationship. Light waves
Coherence_(physics)
Array used for astronomical observations
White, N. M. (2003). "First Observations with a Co-phased Six-Station Optical Long-Baseline Array: Application to the Triple Star eta Virginis". The Astronomical
Astronomical_interferometer
were followed by many centuries of writings on optics, including Ptolemy (2nd century) in his Optics, who wrote about the properties of light including
History_of_the_telescope
Technical applications of optics
biometrics such as pulse rate. LIDAR and other phased array imaging: Arrays of PICs can take advantage of phase delays in the light reflected from objects
Photonics
Interstellar probe project
combining optics which are approximately 3 kilometers in diameter to focus the laser light on the sail. This could be implemented using a phased array system
Breakthrough_Starshot
Type of artificial sheet material
material designed to control the behavior of electromagnetic waves through arrays of subwavelength features. Unlike bulk metamaterials, which achieve unusual
Electromagnetic_metasurface
Color filter array
"Ultra-high-sensitivity color imaging via a transparent diffractive-filter array and computational optics". Optica. 2 (11): 933. Bibcode:2015Optic...2..933W. doi:10.1364/optica
Bayer_filter
Optical phenomenon
interference spectroscopy Thin-film optics Transfer-matrix method (optics) Stavenga, D. G. (2014). "Thin Film and Multilayer Optics Cause Structural Colors of
Thin-film_interference
Study of light on the nanometer scale
Nanophotonics or nano-optics is the study of the behavior of light on the nanometer scale, and of the interaction of nanometer-scale objects with light
Nanophotonics
Branch of optics
Nonimaging optics (also called anidolic optics) is a branch of optics that is concerned with the optimal transfer of light radiation between a source and
Nonimaging_optics
American nonprofit organization
millimeter and sub-millimeter detectors, optics and electromagnetic components including feeds and phased arrays, digital signal processing, and new receiver
Associated_Universities,_Inc.
Wavelength-selective optical filter
The interfaces between the layers of different refractive index produce phased reflections, selectively reinforcing certain wavelengths of light and interfering
Interference_filter
Form of radar used to create images of landscapes
with specific phase shifts, the result is the same as if the recorded data had been gathered by an equally long and shaped phased array. What is thus
Synthetic-aperture_radar
Telescope in the Atacama Desert, Chile
an adaptive optics assisted, near-infrared (NIR) instrument for micro-arcsecond precision narrow-angle astrometry and interferometric phase referenced
Very_Large_Telescope
Computational imaging technique in microscopy
angles of incidence (typically from an array of LEDs); the acquired image set is then combined using an iterative phase retrieval algorithm into a final high-resolution
Fourier_ptychography
Imaging technology for x-ray or gamma sources
Cannon (1978). "Coded aperture imaging with uniformly redundant arrays". Applied Optics. 17 (3). Optical Society of America: 337–347. Bibcode:1978ApOpt
Coded_aperture
Method of spatial measurement using laser
bandwidth. A phased array can illuminate any direction by using a microscopic array of individual antennas. Controlling the timing (phase) of each antenna
Lidar
Optical device
laser beams with a spiral phase distribution". Scientific and Technical Journal of Information Technologies, Mechanics and Optics. 15 (5): 817–824. doi:10
Spatial_light_modulator
Information method in electromagnetic radiation
Charlie E. M. (1994). "Synthetic-array heterodyne detection: a single-element detector acts as an array". Optics Letters. 19 (20): 1609–11. Bibcode:1994OptL
Optical_heterodyne_detection
Technique for modeling the propagation of a wave field
different directions. Its mathematical origins lie in the field of Fourier optics but it has been applied extensively in the field of ultrasound. The technique
Angular_spectrum_method
Chinese air defence missile system
transporter erector launcher (TEL) platform, which additionally mounts a phased array radar, optical sensor, and eight missile tubes. The engagement range
FB-10
Type of camera that can also capture the direction of travel of light rays
which record only light intensity at various wavelengths. One type uses an array of micro-lenses placed in front of an otherwise conventional image sensor
Light_field_camera
Display device for presentation of images, video, or text transmitted electronically
displays began to dominate the industry, as cathode-ray tubes (CRT) were phased out, especially for computer applications. Starting in the mid 2010s, curved
Electronic_visual_display
Optical phenomenon
has such a zero in it. The study of these phenomena is known as singular optics. The concept of "optical vortices" was first described by Coullet et al
Optical_vortex
Imaging technique
synthetically the aperture of the CCD array. Super-localization of particles can be achieved by adopting an optics/data-processing co-design scheme. Optical
Digital_holography
Direction from which a signal is received
elements of the array. Generally this TDOA measurement is made by measuring the difference in received phase at each element in the antenna array. This can
Angle_of_arrival
Type of image sensor
It's a type of line scanning where multiple linear arrays are placed side by side. After the first array is exposed, the charge is transferred to the neighboring
Time_delay_and_integration
Characteristic of an optical system
argument indicates a phase shift in the periodic pattern. The optical transfer function is used by optical engineers to describe how the optics project light
Optical_transfer_function
diode array (CCD), which is placed in the focal plane of an imaging optics. Depending on the crystal and the focal length of the imaging optics, the resolution
Acousto-optical_spectrometer
Astronomical observatory in Los Angeles County, California, US
supports the optics above, while an outer tower, which completely surrounds the inner tower, supports the dome and floors around the optics. This design
Mount_Wilson_Observatory
Microwave antenna
delivered to a radio receiver. They can also be fed by an array of feed antennas, called a focal plane array (FPA), to create more complicated radiation patterns
Lens_antenna
Device to reflect radiation back to its source
Wayback Machine 26 April 1927 Optics Letters, Vol. 4, pp. 190–192 (1979), "Retroreflective Arrays as Approximate Phase Conjugators," by H.H. Barrett and
Retroreflector
Locus of points at equal phase in a wave
specialised wavefront optics.While Shack-Hartmann lenslet arrays are limited in lateral resolution to the size of the lenslet array, techniques such as
Wavefront
American scientist (born 1946)
Laboratory. McManamon is widely recognized as the Father of the Optical Phased Array technology. Starting from 1987, he developed the technologies required
Paul_F._McManamon
Collection of microscopic DNA spots attached to a solid surface
measuring the fluorescence with a filter (optics) photomultiplier system. Spot or feature: a small area on an array slide that contains picomoles of specific
DNA_microarray
Laser pulse with duration a picosecond (10^-12 s) or less
In optics, an ultrashort pulse, also known as an ultrafast event, is an electromagnetic pulse whose time duration is of the order of a picosecond (10−12
Ultrashort_pulse
Power system designed to supply usable electric power from solar energy
concentrated solar power or solar thermal, used for heating and cooling. A solar array only encompasses the solar panels, the visible part of the PV system, and
Photovoltaic_system
Paradigm of quantum computer
Linear optical quantum computing or linear optics quantum computation (LOQC), also photonic quantum computing (PQC), is a paradigm of quantum computation
Linear optical quantum computing
Linear_optical_quantum_computing
Astronomical observatory in Chile
(June 2023). Rubin Observatory Simonyi Survey Telescope Active Optics (7 ed.). Adaptive Optics for Extremely Large Telescopes (AO4ELT7). Bibcode:2023aoel
Vera_C._Rubin_Observatory
Measurement method using interference of waves
an important investigative technique in the fields of astronomy, fiber optics, engineering, metrology, optical metrology, oceanography, seismology, spectroscopy
Interferometry
Property of waves that can oscillate with more than one orientation
angular momentum of light Optics Depolarizer (optics) Fluorescence anisotropy Glan–Taylor prism Kerr effect Nicol prism Physical optics Pockels effect Polarization
Polarization_(waves)
stable atmosphere and favorable climate conditions, and active optics and adaptive optics to correct for much of atmospheric turbulence allow the largest
List of largest optical reflecting telescopes
List_of_largest_optical_reflecting_telescopes
Arrangement of chemical sensors
then incorporated into fiber optics. Other methods for fabricating colorimetric sensor arrays include printing of array fluor- and colorimetric dyes (either
Chemical_sensor_array
Definition of quantum circuits
}}=\left[{\begin{array}{*{20}{c}}1&0\\0&{e^{i{\frac {\pi }{4}}}}\end{array}}\right]\left[{\begin{array}{*{20}{c}}0&1\\1&0\end{array}}\right]\left[{\begin{array
Clifford_gate
Far-field diffraction
In optics, the Fraunhofer diffraction equation is used to model the diffraction of waves when plane waves are incident on a diffracting object, and the
Fraunhofer_diffraction
Type of quantum computer built out of Rydberg atoms
magneto-optical trapping and optical tweezers. In one example of the architecture, an array of atoms is loaded into a laser cooled at micro-kelvin temperatures. In
Neutral_atom_quantum_computer
European X-ray space observatory
arcseconds at 30 arcminutes off-axis. The mirror is based on ESA's Silicon Pore Optics (SPO) technology. SPO provides an excellent ratio of collecting area to
Advanced Telescope for High Energy Astrophysics
Advanced_Telescope_for_High_Energy_Astrophysics
Physical implementation of an artificial neural network with optical components
"Fully interconnected, two-dimensional neural arrays using wavelength-multiplexed volume holograms". Optics Letters. 16 (11): 826–828. Bibcode:1991OptL
Optical_neural_network
Type of display technology
control. In operation, the light passes from a fibre array through the polarisation imaging optics which separates physically and aligns orthogonal polarisation
Liquid_crystal_on_silicon
Lithography using 13.5 nm UV light
Concept Lithography Development System) and long-standing partner German optics manufacturer Zeiss and synchrotron light source supplier Oxford Instruments
Extreme ultraviolet lithography
Extreme_ultraviolet_lithography
Comparing widely separated telescope wavefronts
separation between the telescopes. Data received at each antenna in the array include arrival times from a local atomic clock, such as a hydrogen maser
Very-long-baseline interferometry
Very-long-baseline_interferometry
Components used for routing signals between optical fibres on a per-wavelength basis
spatially offset, and hence to focus, through a lens array, into separate fibers. Polarization diversity optics ensures low Polarization Dependent Losses (PDL)
Wavelength selective switching
Wavelength_selective_switching
Type of transmissive optical device
"Adapted from "The History of Near-field Optics"" (PDF). In Wolf, Emil (ed.). Progress in Optics. Progress In Optics series. Vol. 50. Amsterdam: Elsevier
Superlens
Material with a negative refractive index
"Planoconcave lens by negative refraction of stacked subwavelength hole arrays". Optics Express. 16 (13): 9677–9683. Bibcode:2008OExpr..16.9677B. doi:10.1364/OE
Negative-index_metamaterial
Optical component which splits light into several beams
equation Ultrasonic grating Virtually imaged phased array Zone plate Srinivasarao, M. (1999). "Nano-Optics in the Biological World: Beetles, Butterflies
Diffraction_grating
Optical device for changing the polarization of light
application scenario are phased arrays with coherent optical feeding. Polarization scrambling E. Collett, "Polarized light in fiber optics", SPIE Press, p. 540
Polarization_controller
Atmospheric distortions of light
many large scientific ground-based optical telescopes include adaptive optics to overcome seeing. The strength of seeing is often characterized by the
Astronomical_seeing
Proposed ultra-lightweight design for a space telescope
ultra-lightweight design for a space telescope that uses a Fresnel array as primary optics instead of a typical lens. It focuses light with a thin opaque
Fresnel_imager
Device that transmits and receives radio waves
(the transmitter), only improved distribution of that fixed total. A phased array consists of two or more simple antennas which are connected together
Antenna_(radio)
Telescope for optical astronomy
combined focus. (In commissioning phase – first stabilization of the fringes in December 2013) FLAO – first light adaptive optics to correct atmospheric distortion
Large_Binocular_Telescope
Anomalous diffraction at metallic gratings
In optics, Wood's anomaly refers to the rapid variation of light intensity at diffracted spectral orders in metallic gratings. It was first observed by
Wood's_anomaly
Slovak-Canadian engineer and physicist
optical phased arrays; Huygens’ resonant waveguides; and other devices. This work has been extensively reviewed in Nature, Advances in Optics and Photonics
Pavel_Cheben
Radio telescope located in Guizhou Province, China
Cortés-Medellín, Germán (13 September 2010). AOPAF: Arecibo Observatory Phased Array Feed (PDF) (Report). National Astronomy and Ionosphere Center, Cornell
Five-hundred-meter Aperture Spherical Telescope
Five-hundred-meter_Aperture_Spherical_Telescope
Mirror-based electronic display technology
Instruments (TI). The device is used in digital projectors and consists of an array of millions of microscopic mirrors which can be individually tilted many
Digital_micromirror_device
Property in optics
In optics, the refractive index (also called refraction index or index of refraction), often denoted n, is the ratio of the speed of light in vacuum (c)
Refractive_index
Interference phenomenon of waves
Refraction Reflection Schaefer–Bergmann diffraction Thinned-array curse Hecht, Eugene (2002). Optics (4th ed.). United States of America: Addison Wesley.
Diffraction
Computational imaging technique
producing spatially-resolved images using a single detector instead of an array of detectors (as in conventional camera sensors). A device that implements
Single-pixel_imaging
PHASED ARRAY-OPTICS
PHASED ARRAY-OPTICS
Surname or Lastname
English
English : from Middle English pese ‘pea’, hence a metonymic occupational name for a grower or seller of peas, or a nickname for a small and insignificant person. The word was originally a collective singular (Old English peose, pise, from Latin pisa) from which the modern English vocabulary word pea is derived by folk etymology, the singular having been taken as a plural.Robert and John Pease came from Great Baddow, Essex, England, to Salem, MA, in 1634. In 1644 Robert died, leaving a son (also called Robert) who was apprenticed as a weaver in Salem. By 1646 John Pease was living on Martha’s Vineyard.
Surname or Lastname
English
English : metonymic occupational name for a huntsman, or rather a nickname for an exceptionally skilled huntsman, from Middle English chase ‘hunt’ (Old French chasse, from chasser ‘to hunt’, Latin captare).Southern French : topographic name for someone who lived in or by a house, probably the occupier of the most distinguished house in the village, from a southern derivative of Latin casa ‘hut’, ‘cottage’, ‘cabin’.Thomas Chase came to MA from Chesham, Buckinghamshire, England, in the 1640s, and had many prominent descendants. Samuel Chase, born in Somerset Co., MD, in 1741, was one of the first members of the U.S. Supreme Court; Philander Chase, born in Cornish, NH, in 1741 was a prominent Episcopal clergyman, and his nephew Salmon Portland Chase (1808–73), also born in Cornish, was governor of OH, a U.S. senator, and secretary of the U.S. Treasury during the Civil War.
Male
English
Variant spelling of English Aaron, ARRAN means "light-bringer."
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Sindhi, Tamil, Telugu
An Array of Clouds
Boy/Male
Hindu, Indian, Punjabi, Sikh, Traditional
An Array of Clouds; Garland of Clouds
Boy/Male
American, English
Lucky
Girl/Female
Tamil
Kadambini | காதமà¯à®ªà®¿à®¨à¯€
An array of clouds
Kadambini | காதமà¯à®ªà®¿à®¨à¯€
Boy/Male
Hebrew
Lofty; exalted; high mountain.
Girl/Female
Tamil
Array of clouds
Girl/Female
Hindu
Array of clouds
Male
English
Anglicized form of Hebrew Kesed, CHESED means "increase." In the bible, this is the name of the 4th son of Nahor.
Boy/Male
French, Hindu, Indian
Sea
Girl/Female
Tamil
Meghamala | மேகமாலா
Array of clouds
Meghamala | மேகமாலா
Boy/Male
Indian
One who is honored, Exalted
Male
French
French form of Latin Stephanus, STÉPHANE means "crown."
Surname or Lastname
English and French
English and French : habitational name from the city of Arras in Artois, northern France, or one of the other places in France so named.Scottish : habitational name from Airhouse, a locality in Channelkirk, Berwickshire.English : habitational name from a place called Arras in East Yorkshire, earlier spelled Erghes, from the plural of Old Norse erg ‘hut’, ‘shelter’.German : metonymic occupational name for a cloth merchant, from a type of woolen cloth for which the city of Arras in Flanders was famous in the Middle Ages. This name is also established in Mexico.
Boy/Male
Indian, Parsi
Strong
Male
Hindi/Indian
(पà¥à¤°à¤¸à¤¾à¤¦) Hindi name PRASAD means "offering to God."
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Sanskrit, Sindhi, Telugu
Array of Clouds
Male
English
Middle English surname (of Norman French origin) transferred to forename use, CHASE means "hunter."Â
PHASED ARRAY-OPTICS
PHASED ARRAY-OPTICS
Girl/Female
Tamil
The day
Boy/Male
Hindu
The cupid, The God of Love
Girl/Female
Indian
To pray, White rose
Boy/Male
Hindu
Plowman, Green, Ploughman, Cultivator
Boy/Male
Indian, Kannada, Tamil
Confident
Girl/Female
Hindu
Brilliant
Girl/Female
Hindu, Indian, Kannada, Tamil, Traditional
Wish or Desire
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from any of the many places in England so called, of which the most likely source for present-day bearers is that near Burnley. The place name is from Old English hÄ“ah ‘high’ + hÄm ‘homestead’.
Boy/Male
English
Crown; wreath.
Surname or Lastname
English and Scottish
English and Scottish : patronymic from the medieval personal name Saunder, reduced vernacular form of Alexander.
PHASED ARRAY-OPTICS
PHASED ARRAY-OPTICS
PHASED ARRAY-OPTICS
PHASED ARRAY-OPTICS
PHASED ARRAY-OPTICS
v. i.
To group notes into phrases; as, he phrases well. See Phrase, n., 4.
n.
The whole body of persons thus placed in order; an orderly collection; hence, a body of soldiers.
imp. & p. p.
of Phrase
v. t.
To array.
imp. & p. p.
of Chase
p. pr. & vb. n.
of Array
n.
Any outer covering; array; garb.
n.
See Phase.
n.
Array; order; arrangement; dress.
pl.
of Phasis
n.
One who chases or engraves. See 5th Chase, and Enchase.
v. t.
To furnish with an arras.
pl.
of Phase
n.
Order; a regular and imposing arrangement; disposition in regular lines; hence, order of battle; as, drawn up in battle array.
n.
Figure; dress; array.
n.
Any appearance or aspect of an object of mental apprehension or view; as, the problem has many phases.
v. i.
To spread out in array.
v. t.
To clothe; array; deck.
n.
Same as Chase gun, esp. in terms bow chaser and stern chaser. See under Bow, Stern.
imp. & p. p.
of Array