The limit of resolution (or resolving power) is a measure of the ability of the objective lens to separate in the image adjacent details that are present in the object. It is the distance between two points in the object that are just resolved in the image. The resolving power of an optical system is ultimately limited by diffraction by the aperture. Thus an optical system cannot form a perfect image of a point.

For resolution to occur, at least the direct beam and the first-order diffracted beam must be collected by the objective. If the lens aperture is too small, only the direct beam is collected and the resolution is lost.

When light from the various points of a specimen passes through the objective and an image is created, the various points in the specimen appear as small patterns in the image. These are known as Airy discs. The phenomenon is caused by diffraction of light as it passes through the circular aperture of the objective.

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The limit at which two Airy discs can be resolved into separate entities is often called the Rayleigh criterion. This is when the first diffraction minimum of the image of one source point coincides with the maximum of another.

MTI's George Palikaras, founder and CEO (l), and Satair CEO Bart Reijnen (r) sign a distribution agreement at the October 2018 MRO Europe trade show for maintenance, repair and overhaul operations.

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where 2α is the angle through which the first-order beam is diffracted. Since the two beams are just collected by the objective, i = α, thus the limit of resolution is,

Bird-sized goggles were used to prevent any harm to the bird’s eyesight. The lenses came from human laser safety glasses and had an optical density of 6, meaning that they transmitted only 0.0001% of the laser light. The frame was 3D printed and was held on by veterinary tape. The goggles weighed 1.68 grams, which is roughly 6% of the bird’s body weight (equivalent to 9 pound glasses on a 150 lb. human).

Anti Reflective Coating. Most eyeglass lenses have an anti reflective coating on the outer layer, which can be seen when you flip the lenses in the light and ...

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The numerical aperture of a microscope objective is a measure of its ability to resolve fine specimen detail. The value for the numerical aperture is given by,

In this article, Dr Madeleine Adams provides a simple primer, comparing the optical functions of these modern optical technologies.

Liquid crystals sandwiched between two1-inch squares of glass (left images) scatter green and blue light on a wall when the cells are triggered by laser illumination (right images). Image credit: Daniel Maurer, Lewis University

Airy discs consist of small, concentric light and dark circles. The smaller the Airy discs projected by an objective in forming the image, the more detail of the specimen is discernible. Objective lenses of higher numerical aperture are capable of producing smaller Airy discs, and therefore can distinguish finer detail in the specimen.

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As the laser aims away from the camera, the bright center of the laser is still visible (right image, above). The system then looks at the center of the bright area to find the pixel location. Knowing the camera’s orientation, location and altitude, a Raspberry Pi computer running a Python program written by Hough calculates the approximate location. This is automatically sent via text message to pre-programmed recipients which could include law enforcement.In ground testing on a slope, at a relatively short distance, the error was 15 meters. As the photo diagram shows, the system was successful in determining an approximate distance and location.

As far as LaserPointerSafety.com can determine, the app was never made publicly available such as being put on an app store.To commercialize LERapp, in December 2016 it was licensed to Profound Technologies, Inc. of Warner Robins, Georgia, who will be doing further development and marketing in major regions such as the U.S., U.K. and Europe. Profound’s president Randall Fitzgerald said that there are two planned versions.One version will be a free or low-cost basic app that has the current features of LERapp. Profound will also be developing a central database where laser incident reports will be automatically filed, which then can be pushed out to other users of LERapp such as nearby pilots. These notifications would be available in a higher-cost version, or perhaps the notification feature would be a “freemium” add-on to the basic app.The app will not directly be able to locate the laser’s location — the only geographic information stored is the GPS location and heading of the smartphone at the time of the incident. However, having a photo of the laser illumination may allow law enforcement to locate landmarks or street patterns. Also, Profound is considering future versions which could triangulate a ground location or area based on multiple illumination events reported to the database within a short timespan.LERapp currently runs on Apple’s iOS operating system for iPhones. There is as yet no public release schedule for the basic or database versions. At the time of Apple App Store release, Profound also intends to have an Android-compatible version available.From a Profound Technologies press release dated December 4 2016 and a December 8 telephone interview with Randall Fitzgerald. LaserPointerSafety.com previously ran a story about the Dstl version of the LERapp in March 2013.

Plexiglass (polycarb) is a transparent plastic. It is often used in-place of glass. Polycarb is an excellent glazing window or display material.

The wavelength of light is an important factor in the resolution of a microscope. Shorter wavelengths yield higher resolution. The greatest resolving power in optical microscopy requires near-ultraviolet light, the shortest effective visible imaging wavelength.

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In one test, LASSOS identified the ground location of a laser beam aimed into the sky, using two cameras located nine nautical miles away. The locations was determined within 30 seconds. The system was so accurate that it could differentiate between locations separated by only 5 meters.A key attribute of LASSOS is that the final output is a Google Earth map with the beam and perpetrator location overlaid. This makes it easy for law enforcement to know the area they will be searching for the perpetrator.An MIT press release gave no indication of potential installation and operational costs, and did not indicate any further plans for testing or implementation.LASSOS was developed under Air Force Contract No. FA8721-05-C-0002 and/or FA8702-15-D-0001.From a September 2017 MIT Lincoln Laboratory press release, reprinted below (click the “read more” link.) MIT also has a YouTube video of the system; the LASSOS description begins about 56 seconds into the video. Thanks to Greg Makhov, who brought this to our attention via a Tech Briefs article printed in January 2018.

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θR is the angular position of the first order diffraction minimum (the first dark ring) λ is the wavelength of the incident light d is the diameter of the aperture

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"The aligned crystals blocked up to 95 percent of red, blue and green beams, through a combination of light scattering, absorption of the laser's energy and cross-polarization. The liquid crystals could block lasers of different powers, simulating various distances of illumination, as well as light shone at different angles onto the glass."In addition, the system was fully automatic: A photoresistor detected laser light and then triggered the power system to apply the voltage. When the beam was removed, the system turned off the power, and the liquid crystals returned to their transparent, liquid state. "We only want to block the spot where the laser is hitting the windshield and then have it quickly go back to normal after the laser is gone," Keleher notes. The rest of the windshield, which was not hit by the laser, would remain transparent at all times."Now that the researchers have shown that their approach works, they plan to scale it up from 1-inch squares to the size of an entire aircraft windshield. Initial results have shown that a sensor grid pattern on 2-inch squares of glass will respond only to the section of glass that is illuminated. The team is also testing different types of liquid crystals to find even more efficient and versatile ones that return to the transparent state more quickly once the laser is removed."

The eyewear is said to have an Optical Density between 2 and 5, meaning that it will attenuate the amount of 532nm light reaching eyes by 100 to 100,000 times. The primary goal is to reduce or eliminate visual interference effects such as flashblindness, glare and distraction. A secondary benefit is that attenuating 532nm light will also help protect against any potential eye injury. (Note that as of February 2019, no documented pilot eye injuries have occurred according to the U.S. FAA, U.K. CAA and Transport Canada after almost 75,000 reports of aircraft illumination. Laser/aviation safety experts consider visual interference to be a more significant safety concern than pilot eye injuries.) The frame is wider at top, sides and bottom, to block light coming from directions other than the front.MTI originally developed the holographic laser-reflecting technology for use in windscreens. The goal was to protect pilots without the need for eyewear. However, windscreen modifications require a slow, multi-year process of obtaining governmental and airline approval. In addition, the cost to modify windscreens is much higher than the cost of one or two pairs of eyewear. So eyewear was a natural choice for the first commercially available laser protection product from MTI. According to its metaAIR website, the company may also produce glare shields using the same technology.MTI is taking pre-orders for its eyewear, distributed by Satair, which will be available "spring 2019." From MTI's metaAIR website, accessed February 25 2019.

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From the equation it can be seen that the radius of the central maximum is directly proportional to λ/d. So, the maximum is more spread out for longer wavelengths and/or smaller apertures.

Numerical aperture determines the resolving power of an objective, the higher the numerical aperture of the system, the better the resolution.

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The glasses’ ability to reflect unwanted wavelengths were demonstrated by blocking 99.9% of the green light from a handheld Class 4 (> 500 milliwatts) 532 nanometer laser:

Jan 3, 2019 — move or remove the lens (to "focus" or "unfocus"); change the "hole" of a diaphragm (to allow more or less light hit the sensor). optics ...

From a Stanford University news story, picked up by numerous websites and news outlets including Popular Mechanics, NBC News, The Verge, Optics.org and many others. The results were published December 6 2016 in the journal Bioinspiration & Biometrics, volume 12, number 1. Thanks to Drs. Ronald K.A.M. Mallant, MSc. for pointing out an error in our description of OD 6 density; the error has been corrected.

Tyrer demonstrates how light from a laser pen goes through the clear part of the face visor, causing glare and potential eye injury to an officer.But if the officer tilts his or her head down so the laser goes through the strip, laser light is absorbed and does not present a hazard.

Researchers at Stanford University wanted to get data on how much lift a bird generates. To monitor the wing wake and vortices, they used a laser beam spread by a lens into a plane of light. The light source was a Litron brand double-pumped Neodymium-doped yttrium lithium fluoride (Nd:YLF) laser. The light was green at 527 nanometers, and had a pulse repetition rate of 1 kHz.A non-toxic mist in the air illuminated the light sheet, just like theatrical fog used at concert laser light shows. As the bird flew through the light, the mist scattered and showed the air patterns, in a technique called “particle imaging velocimetry” or PIV.

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The metaAir film can be engineered either to absorb or reflect the desired wavelength(s). For aircraft application, the reflection approach is being used in order to block undesired light wavelengths from entering the cockpit. The reflection bandwidth is currently in the 15-20 nanometer range.For the most common type of green laser pointer -- responsible for 93% of FAA reported incidents in 2013 -- with a wavelength of 532 nm, the film would block light from about 522 to 542 nm. Additional wavelength blocking can be added as well, such as the 445 nm blue used in powerful handheld lasers such as the Wicked Lasers S3 Arctic that has up to 2 watts (2000 milliwatts) output.Two key advantages of blocking laser light at the windscreen are that pilots do not have to carry or use laser protective eyewear, and there is absolutely no interference with the visibility of aircraft instruments. In preliminary tests, the anti-laser film had a narrow enough bandwidth that it did not interfere with airport lights seen outside a cockpit.Because of ultraviolet degradation to the adhesive layer that adheres the optical metamaterial to the windscreen, the film would need to be replaced after about 5,000 flight hours. This translates into overnight replacement roughly once every three years. The optical metamaterial itself would not have a flight hour restriction.In addition to piloted commercial aircraft windscreens, Airbus will also be investigating related applications such as piloted military windscreens, UAV camera protection, and sensor protection for satellites and airborne platforms.

Company consultant Dr. Dudley Crosson says the screw-in filters “allow the goggles to function normally by reducing the blooming effect significantly.” A Laser Armor product sheet says the filters reduce blue (445-450 nm) intensity by 97%, and reduce green (532 nm) intensity by 99.5%. From Aviation Today and a Night Flight Concepts press release

CNI offers various ultraviolet lasers (diode lasers and diode-pumped solid-state lasers) with many wavelengths between 213 nm and 349 nm. The output power is up ...

Before beginning the series of experiments, the researchers trained four parrotlets “through many small stress-free steps of habituation.” After “several months of effort” with the birds, only one — a parrotlet named “Obi” — voluntarily flew with the laser goggles. According to the researchers, “[a]ll training and experimental procedures were approved by Stanford's Administrative Panel on Laboratory Animal Care.”

From a December 16 2013 report by Schweizer Radio und Fernsehen, (original German text and Google-translated into English). Thanks to Basel officer Ruedi Maier for bringing this to our attention. For additional news items from Switzerland, including the 2011 purchase of laser protective eyewear for air rescue helicopter pilots, click here.

This page titled 10.6: Resolution and Imaging is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by Dissemination of IT for the Promotion of Materials Science (DoITPoMS) via source content that was edited to the style and standards of the LibreTexts platform.

Testing by Public Health England, and real-life usage in Northern Ireland, showed the anti-laser strip to be “very effective”.Tyrer has also suggested that the same film applied to glasses can protect pilots during takeoffs and landings from any laser activity that might be occurring. From the Loughborough News Blog and Police OracleUPDATE JULY 27 2020: The visor strips are sold by Laser Optical Engineering Ltd. in the U.K. Pricing is £25 (USD $32) per strip in low quantities (<200). According to LOE, in field use it was found that direct attacks on police "stopped quickly" once protesters knew their lasers were ineffective and that laser attackers would be identified and arrested. LOE also sells anti-dazzle glasses. Pricing is £50 (USD $64) each in low quantities (<50).     Additional information about laser use and mis-use at protests, and ways to protect eyes is on the Laser use during protests page.

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The Personnel Protection Team in AFRL’s Materials and Manufacturing Directorate, headed by Dr. Matthew Lange, used the cockpit compatibility design software developed for Department of Defense LEP and modified it for commercial use. The commercial version, called CALI (Commercial Aviation Low Intensity) filters out the laser light, but not the light coming from the pilot’s instrument panel. “Simply put,” said Lange, “the lenses maximize protection while minimizing the impact to the cockpit.”

To see the video, click this link to YouTube. Following this link should also lead to the bonus content videos.To get a flavor of the training video, click the “Read More…” link below for a list of selected excerpts and interesting statements.

where n is the refractive index and equal to 1 for air and α is the half angle subtended by rays entering the objective lens.

The primary minimum sets a limit to the useful magnification of the objective lens. A point source of light produced by the lens is always seen as a central spot, and second and higher order maxima, which is only avoided if the lens is of infinite diameter. Two objects separated by a distance less than θR cannot be resolved.

Palikaras said that besides pilots, MTI has had inquiries from the navy and from train operators. He cited incidents involving trains in Germany and Switzerland.He said the glasses will be sold through MTI’s partner companies and directly to industry buyers.As of May 2018, MTI has 27 employees, and is looking to hire 15 new full-time employees in production, marketing, research and development. MTI’s holographic technology is also used in developing aircraft windscreens with laser glare protection.The $3M loan was provided by the Atlantic Canadian Opportunities Agency.From the Chronicle Herald

The October 2018 agreement widens the market and covers "eyewear and visor products that are developed or manufactured by MTI. These include, without limitation, all sub-components, sub-assemblies, piece parts, software and hardware."MTI says their technology "is superior to other products currently on the market due to a unique and patented dielectric (non-metallic) optical metamaterial filter, which has been scientifically engineered to ensure that the pilots’ vision and interpretation of the surrounding environment is not disturbed during critical phases of flight."From an October 17 2018 Metamaterial Technologies Inc. press releaseUPDATED: In a February 19 2019 press release, Satair's customer solutions director says initial product applications will appear in the first quarter of 2019. He also said "The technology is highly scalable so it can be customised for a wide variety of platforms and other applications. In commercial aviation the green laser poses the biggest threat because the human eye is more susceptible to the green wavelength. For military markets the red laser may be the largest threat. The advantage of the MTI product compared to other products in the market is that it can be customised to the wavelengths the customer wants to be protected against. As we have exclusive distribution rights across civil aviation, military and defence, we are open to do business with leading OEMs of products such as night vision goggles, head-up displays, helicopter and fighter pilot helmets and aircraft flight deck visors. Other products in the market do not have the same quality, the same level of protection and colour balance that we have.Thanks to Peter Smith and Leon McLin for bringing the February 2019 press release to our attention.

Hough notes that the system is a low-cost proof-of-concept. Suggested improvements include “more precise location sensors [that] would improve target location accuracy. Tapping into the high quality compass and GPS sensors on a commercial aircraft, for example, would drastically improve the ability of the system.” He also stated that smartphones include all the equipment needed: camera, compass, GPS, processor and display. So it should be possible to make a smartphone application to accomplish the same task.From “Detection and Location System for Laser Interference with Aircraft”, December 2016. Thanks to Nate Hough for bringing this to our attention and allowing us to host the PDF. Note: A similar system, which does not calculate the laser source location, is the Laser Event Recorder.

The units for resolution are given in line pairs per millimeter (lp/mm); unfortunately, this doesn't equate to anything practical. Luckily, there is an easy way ...

Flight Officer Camron Iverson of the Washington State Patrol tested laser protection lenses formulated at AFRL’s Materials and Manufacturing Directorate. (Photo by Mary Pacinda)

Twelve cameras were used. Four high-speed stereo cameras were for PIV particle motion recording and recorded 4000 frames per flight. Eight cameras were for recording Obi’s wing and head kinematics as it flew from one perch, through the laser light plane, to a landing perch.The results give “the clearest picture to date of the wake left by a flying animal.” Unexpectedly, the wing tip vortices did not stay stable as happens with aircraft, but instead broke up quickly and violently. This had not been predicted by any previous models.