Guide to Optical Lenses - lenses or lens
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Howdoes a light microscopework
Can the \(NA\) be larger than 1.00? The answer is ‘yes’ if we use immersion lenses in which a medium such as oil, glycerine or water is placed between the objective and the microscope cover slip. This minimizes the mismatch in refractive indices as light rays go through different media, generally providing a greater light-gathering ability and an increase in resolution. Figure 5 shows light rays when using air and immersion lenses.
This method involves nonlinear beam cleaning in a multi-mode laser cavity, where spatiotemporal laser mode locking balances spatial and temporal effects, allowing the setup to reach high-energy pulses without needing external amplification.
Both the objective and the eyepiece contribute to the overall magnification, which is large and negative, consistent with Figure 2, where the image is seen to be large and inverted. In this case, the image is virtual and inverted, which cannot happen for a single element (case 2 and case 3 images for single elements are virtual and upright). The final image is 367 mm (0.367 m) to the left of the eyepiece. Had the eyepiece been placed farther from the objective, it could have formed a case 1 image to the right. Such an image could be projected on a screen, but it would be behind the head of the person in the figure and not appropriate for direct viewing. The procedure used to solve this example is applicable in any multiple-element system. Each element is treated in turn, with each forming an image that becomes the object for the next element. The process is not more difficult than for single lenses or mirrors, only lengthier.
The 635 nm all-fiber laser, employing a Pr/Yb codoped ZBLAN fiber for visible spectrum gain and a nonlinear amplifying loop mirror for laser mode locking within a figure-eight cavity, produced picosecond pulses, representing a significant advancement toward miniaturized ultrafast fiber lasers in the visible spectrum.
We normally associate microscopes with visible light but x ray and electron microscopes provide greater resolution. The focusing and basic physics is the same as that just described, even though the lenses require different technology. The electron microscope requires vacuum chambers so that the electrons can proceed unheeded. Magnifications of 50 million times provide the ability to determine positions of individual atoms within materials. An electron microscope is shown in Figure 7. We do not use our eyes to form images; rather images are recorded electronically and displayed on computers. In fact observing and saving images formed by optical microscopes on computers is now done routinely. Video recordings of what occurs in a microscope can be made for viewing by many people at later dates. Physics provides the science and tools needed to generate the sequence of time-lapse images of meiosis similar to the sequence sketched in Figure 8.
Look through a clear glass or plastic bottle and describe what you see. Now fill the bottle with water and describe what you see. Use the water bottle as a lens to produce the image of a bright object and estimate the focal length of the water bottle lens. How is the focal length a function of the depth of water in the bottle?
While the numerical aperture can be used to compare resolutions of various objectives, it does not indicate how far the lens could be from the specimen. This is specified by the “working distance,” which is the distance (in mm usually) from the front lens element of the objective to the specimen, or cover glass. The higher the \(NA\) the closer the lens will be to the specimen and the more chances there are of breaking the cover slip and damaging both the specimen and the lens. The focal length of an objective lens is different than the working distance. This is because objective lenses are made of a combination of lenses and the focal length is measured from inside the barrel. The working distance is a parameter that microscopists can use more readily as it is measured from the outermost lens. The working distance decreases as the \(NA\) and magnification both increase.
A study published in Light: Science & Applications introduced an innovative solution—a visible-wavelength passively mode-locked all-fiber laser. They employed the dissipative soliton resonance mechanism to replace the conventional expensive and bulky oscillators, such as Ti:sapphire, for visible-spectrum ultrafast lasers. This approach enabled the generation of stable, laser mode locking pulses in a large, normal-dispersion fiber cavity, offering a compact, cost-effective, and maintenance-free alternative.
Since its introduction in the 1960s, laser mode locking has seen continuous advancements, expanding its applications from corneal eye surgery and micromachining to optical computing and two-photon microscopy, demonstrating its continuous evolution of speed, power, and precision.
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Laser mode locking generates ultrashort pico- and femtosecond pulses by establishing phase uniformity among intrinsic cavity modes. This article overviews the fundamentals of laser mode locking, its underlying principles, different methods, and recent developments in this field.
NEBOSH certified Mechanical Engineer with 3 years of experience as a technical writer and editor. Owais is interested in occupational health and safety, computer hardware, industrial and mobile robotics. During his academic career, Owais worked on several research projects regarding mobile robots, notably the Autonomous Fire Fighting Mobile Robot. The designed mobile robot could navigate, detect and extinguish fire autonomously. Arduino Uno was used as the microcontroller to control the flame sensors' input and output of the flame extinguisher. Apart from his professional life, Owais is an avid book reader and a huge computer technology enthusiast and likes to keep himself updated regarding developments in the computer industry.
Laser mode locking is an ingenious technique that enables the generation of ultrashort pulses of light. While a standard continuous-wave (CW) laser emits a constant output beam, a mode-locked laser produces a train of ultrashort pulses, which can reach durations on the order of femtoseconds (10-15 seconds) or picoseconds (10-12 seconds). These exceptional timescales unlock a domain of ultrafast science and technology with applications across disciplines.
How do microscopes worksimple
In a study published in Advanced Photonics, Swiss researchers introduced a novel approach to generating ultrashort high-energy pulses with single-mode beam quality in mode-locked fiber lasers, addressing the power level challenge associated with small-core single-mode fibers.
This situation is similar to that shown in Figure 2. To find the overall magnification, we must find the magnification of the objective, then the magnification of the eyepiece. This involves using the thin lens equation.
These F-theta lenses by Avantier are designed for consistent spot size and uniform field curvature correction, ideal for high-resolution imaging applications.
This enables pulse durations well below the recovery time of the absorber, resulting in femtosecond pulses. However, achieving consistent self-starting laser mode locking is sometimes not guaranteed.
The intensity of transmitted light becomes maximum when the inserted polaroid and analyser (the Polaroid which receives light that is transmitted by inserted ...
In a recent study published in Science, Caltech researchers demonstrated an innovative approach to develop highly efficient ultrafast lasers on nanophotonic chips.
The team combined III-V semiconductors' high laser gain with thin-film lithium niobate (TFLN) nanoscale photonic waveguides to create a mode-locked laser emitting a peak power of 0.5 watts.
The term \(f/ \#\) in general is called the \(f\)-number and is used to denote the light per unit area reaching the image plane. In photography, an image of an object at infinity is formed at the focal point and the \(f\)-number is given by the ratio of the focal length \(f\) of the lens and the diameter \(D\) of the aperture controlling the light into the lens (see Figure 3b). If the acceptance angle is small the \(NA\) of the lens can also be used as given below. \[f/ \# = \frac{f}{D} \approx \frac{1}{2NA} \label{26.5.6}.\] As the \(f\)-number decreases, the camera is able to gather light from a larger angle, giving wide-angle photography. As usual there is a trade-off. A greater \(f/ \#\) means less light reaches the image plane. A setting of \(f/16\) usually allows one to take pictures in bright sunlight as the aperture diameter is small. In optical fibers, light needs to be focused into the fiber. Figure 4 shows the angle used in calculating the \(NA\) of an optical fiber.
Howdoes a compound microscopework
Ali, Owais. "The Fundamentals of Laser Mode Locking". AZoOptics. https://www.azooptics.com/Article.aspx?ArticleID=2507. (accessed November 23, 2024).
The pulse duration is governed by a balance between pulse broadening due to factors like limited gain bandwidth and pulse shortening through the modulator.
Passive laser mode locking via a saturable absorber produces shorter femtosecond (10-15) pulses. This is quite achievable as the saturable absorber driven by short pulses modulates resonator losses faster than an acousto-optic or electro-optic modulator.
Calculate the magnification of an object placed 6.20 mm from a compound microscope that has a 6.00 mm focal length objective and a 50.0 mm focal length eyepiece. The objective and eyepiece are separated by 23.0 cm.
How do microscopes workscientifically
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In a laser cavity, the interaction of two light waves moving in opposite directions creates standing waves, forming a set of discrete frequencies known as longitudinal modes. With an intermodal spacing of Δν, these modes can interfere destructively or constructively based on their phase relationship.
Ibrahim Muhammad, B. (2019). Cladding Pumped Thulium-Ytterbium Short Pulse Fiber Lasers. IntechOpen. https://doi.org/10.5772/intechopen.81060
Where 0.441 represents the "time-bandwidth product" of the pulse, which varies based on the pulse shape. A hyperbolic-secant-squared (sech²) pulse shape is typically considered for ultra-short pulse lasers, yielding a time-bandwidth product 0.315.
Mar 30, 2021 — In this case, the microscope resolution is said to be pixel-limited, and is given by, at least, twice the pixel size scaled by the magnification ...
Normal optical microscopes can magnify up to \(1500 \times \) with a theoretical resolution of \(-0.2 \mu m\). The lenses can be quite complicated and are composed of multiple elements to reduce aberrations. Microscope objective lenses are particularly important as they primarily gather light from the specimen. Three parameters describe microscope objectives: the numerical aperture (\(NA\)), the magnification (\(m\)), and the working distance. The \(NA\) is related to the light gathering ability of a lens and is obtained using the angle of acceptance \(\theta\) formed by the maximum cone of rays focusing on the specimen (see Figure 3a) and is given by \[NA = n \sin{\alpha} \label{26.5.5},\] where \(n\) is the refractive index of the medium between the lens and the specimen and \(\alpha = \theta / 2\). As the angle of acceptance given by \(\theta\) increases, \(NA\) becomes larger and more light is gathered from a smaller focal region giving higher resolution. A \(0.75 NA\) objective gives more detail than a \(0.10 NA\) objective.
How do microscopes workstep by step
Active laser mode locking involves periodically modulating resonator losses or round-trip phase changes using electro-optic or acousto-optic modulators. Synchronizing this modulation with resonator round trips can generate ultrashort pulses, usually with picosecond (10-12) durations.
How do microscopes workpdf
To see how the microscope in Figure 2 forms an image, we consider its two lenses in succession. The object is slightly farther away from the objective lens than its focal length \(f_{o}\), producing a case 1 image that is larger than the object. This first image is the object for the second lens, or eyepiece. The eyepiece is intentionally located so it can further magnify the image. The eyepiece is placed so that the first image is closer to it than its focal length \(f_{e}\). Thus the eyepiece acts as a magnifying glass, and the final image is made even larger. The final image remains inverted, but it is farther from the observer, making it easy to view (the eye is most relaxed when viewing distant objects and normally cannot focus closer than 25 cm). Since each lens produces a magnification that multiplies the height of the image, it is apparent that the overall magnification \(m\) is the product of the individual magnifications: \[m = m_{o}m_{e} \label{26.5.1},\] where \(m_{o}\) is the magnification of the objective and \(m_{e}\) is the magnification of the eyepiece. This equation can be generalized for any combination of thin lenses and mirrors that obey the thin lens equations.
The VINCI series of ultrafast fiber lasers has a central emission wavelength of 1064 nm and features a unique combination of short pulse durations.
While the fundamental dynamics persist, ongoing advancements in performance and precision, driven by scientific insight and engineering innovation, are expected to propel laser mode locking into new frontiers of cutting-edge technologies and discoveries in the coming decades.
Bioimager High Magnification Biological Objective Lenses have 150x, 200x, 250x, 300x, 500x optical magnifications and are used in biological microscopes to ...
Ali, Owais. 2023. The Fundamentals of Laser Mode Locking. AZoOptics, viewed 23 November 2024, https://www.azooptics.com/Article.aspx?ArticleID=2507.
Laser mode locking depends on establishing a fixed phase relationship or coherence between the inherent longitudinal modes of the laser cavity. This periodic constructive interference produces an intense burst of light in the form of a short pulse.
Guo, Q., Gutierrez, B. K., Sekine, R., Gray, R. M., Williams, J. A., Ledezma, L., ... & Marandi, A. (2023). Ultrafast mode-locked laser in nanophotonic lithium niobate. Science, 382(6671), 708-713. https://www.doi.org/10.1126/science.adj5438Top of Form
How do microscopes workphysics
Check out the extensive number of wholesale prisms currently to be found to suit the 90 degree right angle prism mirror you have been looking for.
Reuven Silverman of Ophir discusses the critical role of M2 measurements in laser technology for optimization and quality control in various industries.
When using a microscope, we rely on gathering light to form an image. Hence most specimens need to be illuminated, particularly at higher magnifications, when observing details that are so small that they reflect only small amounts of light. To make such objects easily visible, the intensity of light falling on them needs to be increased. Special illuminating systems called condensers are used for this purpose. The type of condenser that is suitable for an application depends on how the specimen is examined, whether by transmission, scattering or reflecting. See Figure 6 for an example of each. White light sources are common and lasers are often used. Laser light illumination tends to be quite intense and it is important to ensure that the light does not result in the degradation of the specimen.
The magnification of the objective lens is given as \[m_{o} = -\frac{d_{i}}{d_{o}}\label{26.5.2},\] where \(d_{o}\) and \(d_{i}\) are the object and image distances, respectively, for the objective lens as labeled in Figure 2. The object distance is given to be \(d_{o} = 6.20 mm\), but the image distance \(d_{i}\) is not known. Isolating \(d_{i}\), we have \[\frac{1}{d_{i}} = \frac{1}{f_{o}} - \frac{1}{d_{o}} \label{26.5.3},\] where \(f_{o}\) is the focal length of the objective lens. Substituting known values gives \[\frac{1}{d_{i}} = \frac{1}{6.00 mm} - \frac{1}{6.20 mm} = \frac{0.00538}{mm} .\] We invert this to find \(d_{i}\): \[d_{i} = 186 mm.\] Substituting this into the expression for \(m_{o}\) gives \[m_{o} = - \frac{d_{i}}{d_{o}} = - \frac{186 mm}{6.20 mm} = -30.0.\] Now we must find the magnification of the eyepiece, which is given by \[m_{e} = -\frac{d_{i}'}{d_{o}'},\label{26.5.4}\] where \(d_{i}'\) and \(d_{o}'\) are the image and object distances for the eyepiece (see Figure 2). The object distance is the distance of the first image from the eyepiece. Since the first image is 186 mm to the right of the objective and the eyepiece is 230 mm to the right of the objective, the object distance is \(d_{o}' = 230 mm - 186 mm = 44.0 mm\). This places the first image closer to the eyepiece than its focal length, so that the eyepiece will form a case 2 image as shown in the figure. We still need to find the location of the final image \(d_{i}'\) in order to find the magnification. This is done as before to obtain a value for \(1/d_{i}'\): \[\frac{1}{d_{i}'} = \frac{1}{f_{e}} - \frac{1}{d_{o}'} = \frac{1}{50.0 mm} - \frac{1}{44.0 mm} = - \frac{0.00273}{mm}.\] Inverting gives \[d_{i}' = - \frac{mm}{0.00273} = -367 mm.\] The eyepiece’s magnification is thus \[m_{e} = - \frac{d_{i}'}{d_{o}'} = - \frac{-367 mm}{44.0 mm} = 8.33.\] So the overall magnification is \[m = m_{o}m_{e} = \left( -30.0 \right) \left( 8.33 \right) = -250.\]
When using a microscope we do not see the entire extent of the sample. Depending on the eyepiece and objective lens we see a restricted region which we say is the field of view. The objective is then manipulated in two-dimensions above the sample to view other regions of the sample. Electronic scanning of either the objective or the sample is used in scanning microscopy. The image formed at each point during the scanning is combined using a computer to generate an image of a larger region of the sample at a selected magnification.
Ali, Owais. (2023, November 27). The Fundamentals of Laser Mode Locking. AZoOptics. Retrieved on November 23, 2024 from https://www.azooptics.com/Article.aspx?ArticleID=2507.
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This laser mode locking setup generates ultrafast lasers with unique properties beyond conventional ones, enabling potential applications in precision sensing, disease diagnosis using cell phones, and chip-scale atomic clocks for navigation in GPS-compromised environments.
Zou, J., Dong, C., Wang, H., Du, T., & Luo, Z. (2020). Towards visible-wavelength passively mode-locked lasers in all-fibre format. Light: Science & Applications, 9(1), 61. https://doi.org/10.1038/s41377-020-0305-0
Ali, Owais. "The Fundamentals of Laser Mode Locking". AZoOptics. 23 November 2024. .
Although the eye is marvelous in its ability to see objects large and small, it obviously has limitations to the smallest details it can detect. Human desire to see beyond what is possible with the naked eye led to the use of optical instruments. In this section we will examine microscopes, instruments for enlarging the detail that we cannot see with the unaided eye. The microscope is a multiple-element system having more than a single lens or mirror (Figure \(\PageIndex{1}\)). A microscope can be made from two convex lenses. The image formed by the first element becomes the object for the second element. The second element forms its own image, which is the object for the third element, and so on. Ray tracing helps to visualize the image formed. If the device is composed of thin lenses and mirrors that obey the thin lens equations, then it is not difficult to describe their behavior numerically.
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When in-phase, constructive interference results in the generation of ultrashort pulses, i.e., laser mode locking, with pulse separation determined by the round-trip time:
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The pulse duration depends on the number of modes oscillating in phase (N) and the shape of each pulse. The minimum pulse duration (Δt) for pulses exhibiting a Gaussian temporal shape is given by:
Teğin, U., Rahmani, B., Kakkava, E., Psaltis, D., & Moser, C. (2020). Single-mode output by controlling the spatiotemporal nonlinearities in mode-locked femtosecond multi-mode fiber lasers. Advanced Photonics, 2(5), 056005-056005. https://doi.org/10.1117/1.AP.2.5.056005
The laser mode locking miniaturization in femtosecond intervals enables the investigation of rapid natural phenomena, such as molecular bond dynamics and light propagation. However, the current state-of-the-art mode-locked lasers are large, expensive, and limited to laboratory settings. Therefore, the researchers aimed to revolutionize ultrafast photonics by transforming the large laser mode locking systems into chip-size devices that can be mass-produced and deployed in the field.
How do microscopes Workfor Kids
R. Paschotta. (2008). Field Guide to Laser Pulse Generation, SPIE Press, Bellingham, WA. [Online]. Available at: https://spie.org/publications/fg14_p33-36_mode_locking?SSO=1
This page titled 26.4: Microscopes is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.
The design enables the production of sub-100 femtosecond (10-15) pulses with high pulse energy (>20 nJ) and excellent beam quality in a compact and cost-effective configuration, representing a significant advancement in ultrashort pulse generation from fiber lasers.
Microscopes were first developed in the early 1600s by eyeglass makers in The Netherlands and Denmark. The simplest compound microscope is constructed from two convex lenses as shown schematically in Figure 2. The first lens is called the objective lens, and has typical magnification values from \(5 \times\) to \(100 \times\). In standard microscopes, the objectives are mounted such that when you switch between objectives, the sample remains in focus. Objectives arranged in this way are described as parfocal. The second, the eyepiece, also referred to as the ocular, has several lenses which slide inside a cylindrical barrel. The focusing ability is provided by the movement of both the objective lens and the eyepiece. The purpose of a microscope is to magnify small objects, and both lenses contribute to the final magnification. Additionally, the final enlarged image is produced in a location far enough from the observer to be easily viewed, since the eye cannot focus on objects or images that are too close.
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The researchers envision that this technique holds promise for applications in visible light communications, laser material processing, femtosecond laser-frequency comb technology, biomedicine, micro imaging, and ultraviolet ultrafast generation research.