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To get a sharp image, you not only need the right camera, but also the right lens to go with it. Our beginner's guide to lens selection will help.
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By comparing MTF graphs of different lenses, you can make informed decisions based on the optical characteristics that matter most for your specific needs. In a real application, there may also be additional factors, such as sensor image size, magnification, and F/# sensor specifications to be considered.
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Resolution Assessment: MTF graphs provide a quantitative measure of a lens's ability to reproduce fine details. Higher MTF values indicate better resolution, helping you select lenses that suit your needs for sharpness.
Figure 7: Phase contrast microscopy of a human embryonic stem cell colony. Credit Sabrina Lin, Prue Talbot, Stem Cell Center University of California, Riverside.
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Strong background suppression from non-birefringent areas of a sample, allows measurement of sample thickness and birefringence
mtf是什么
What is light microscopy? Light microscopy is used to make small structures and samples visible by providing a magnified image of how they interact with visible light, e.g., their absorption, reflection and scattering. This is useful to understand what the sample looks like and what it is made of, but also allows us to see processes of the microscopic world, such as how substances diffuse across a cell membrane.
Nov 12, 2024 — The meaning of DEPTH OF FIELD is the range of distances of the object in front of an image-forming device (such as a camera lens) measured ...
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A typical MTF graph includes both Tangential Lines (T) and Sagittal Lines (S). The Tangential Line (T)—also known as Meridional—is displayed as solid lines showing the tangential MTF measurements, while the dotted lines show Sagittal MTF. Sagittal means that the test pattern lines are parallel to a line running from the center of the image to the corner, while tangential lines are perpendicular to that diagonal. Usually, the MTF value of the solid line is higher because the lens is generally manufactured based on the tangential direction.
Allows individual fluorophores and particular areas of interest in a sample to be singled out, can overcome the resolution limit
It is often a challenge to pick the right lens, since a lens's performance is not easily determined by specific measurements like camera or computer specifications. For this reason, lens manufacturers created standard methods of measuring lens performance under a controlled environment and offer the testing results as MTF information for their products.
Some of the most fundamental processes in nature occur at the microscopic scale, far beyond the limits of what we can see by eye, which motivates the development of technology that allows us to see beyond this limit. As early as the 4th century AD, people had discovered the basic concept of an optical lens, and by the 13th century, they were already using glass lenses to improve their eyesight and to magnify objects such as plants and insects to better understand them.1 With time, these simple magnifying glasses developed into advanced optical systems, known as light microscopes, which allow us to see and understand the microscopic world beyond the limits of our perception. Today, light microscopy is a core technique in many areas of science and technology, including life sciences, biology, materials sciences, nanotechnology, industrial inspection, forensics and many more. In this article, we will first explore the basic working principle of light microscopy. Building on this, we will discuss some more advanced forms of light microscopy that are commonly used today and compare their strengths and weaknesses for different applications.
The imaging system may also include elements such as apertures and filters that select certain portions of light from the sample, for example to see only light that has been scattered off the sample, or only light of a certain color or wavelength. As in the case of the illumination system, this type of filtering can be extremely useful to single out certain features of interest that would remain hidden when imaging all the light from the sample.Overall, both the illumination and the imaging system play a key role in how well a light microscope performs. To get the best out of light microscopy in your application, it is essential to have a good understanding of how a basic light microscope works, and what variations exist today.
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MTF (Modulation Transfer Function) is a measure of the ability of an optical system to transfer contrast from the object to the image. It describes the level of contrast a lens delivers at a specific resolution, e.g. Y % at X lp/mm.
How do you find the right lens for a camera? What roles do resolution, sensor size, image circle, focal length, and lens size play in creating optimal image quality?
SensorMTF
Performance across the Image Sensor: MTF graphs provide insights into a lens's performance across the entire image frame. This helps you select lenses that suit your requirement for consistent image quality from the center of the frame to the corners.
In the context of resolution, higher values of lp/mm indicate a finer level of detail that the optical system can capture. Therefore, the number of lines that can be resolved becomes an important performance criterion for the optical system.
What is light microscopy?Parts of a microscope and how a light microscope worksSimple and compound microscopesTypes of light microscopy- Bright field microscopy- Dark field microscopy- Phase contrast microscopy- Differential interference contrast microscopy- Polarized light microscopy- Fluorescence microscopy- Immunofluorescence microscopy- Confocal microscopy- Two-photon microscopy- Light sheet microscopy- Total internal reflection fluorescence microscopy- Expansion microscopy
Figure 9: Polarization microscopy. Photomicrograph of olivine adcumulate, formed by the accumulation of crystals with different birefringence. Variations of thickness and refractive index across the sample result in different colors. Credit: R. Hill, CSIRO.
References1. Rochow TG, Tucker PA. A Brief History of Microscopy. In: Introduction to Microscopy by Means of Light, Electrons, X Rays, or Acoustics. Springer US; 1994:1-21. doi:10.1007/978-1-4899-1513-9_12. Smith WJ. Modern Optical Engineering: The Design of Optical Systems. McGraw-Hill; 1990. ISBN: 00705917413. Shribak M, Inoué S. Orientation-independent differential interference contrast microscopy. Collected Works of Shinya Inoue: Microscopes, Living Cells, and Dynamic Molecules. 2008;(Dic):953-962. doi:10.1142/9789812790866_00744. Gao G, Jiang YW, Sun W, Wu FG. Fluorescent quantum dots for microbial imaging. Chinese Chem Lett. 2018;29(10):1475-1485. doi:10.1016/j.cclet.2018.07.0045. Chalfie M, Tu Y, Euskirchen G, Ward W, Prasher D. Green fluorescent protein as a marker for gene expression. Science. 1994;263(5148):802-805. doi:10.1126/science.83032956. Baranov M V., Olea RA, van den Bogaart G. Chasing Uptake: Super-Resolution Microscopy in Endocytosis and Phagocytosis. Trends Cell Biol. 2019;29(9):727-739. doi:10.1016/j.tcb.2019.05.0067. Miller DM, Shakes DC. Chapter 16 Immunofluorescence Microscopy. In: Current Protocols Essential Laboratory Techniques. Vol 10.; 1995:365-394. doi:10.1016/S0091-679X(08)61396-58. Huisken J, Swoger J, Del Bene F, Wittbrodt J, Stelzer EHK. Optical sectioning deep inside live embryos by selective plane illumination microscopy. Science. 2004;305(5686):1007-1009. doi:10.1126/science.11000359. Huisken J. Slicing embryos gently with laser light sheets. BioEssays. 2012;34(5):406-411. doi:10.1002/bies.20110012010. Fish KN. Total Internal Reflection Fluorescence (TIRF) Microscopy. Curr Protoc Cytom. 2009;50(1):273-275. doi:10.1002/0471142956.cy1218s5011. Wassie AT, Zhao Y, Boyden ES. Expansion microscopy: principles and uses in biological research. Nat Methods. 2019;16(1):33-41. doi:10.1038/s41592-018-0219-412. Lam F, Cladière D, Guillaume C, Wassmann K, Bolte S. Super-resolution for everybody: An image processing workflow to obtain high-resolution images with a standard confocal microscope. Methods. 2017;115:17-27. doi: 10.1016/j.ymeth.2016.11.00313. Hedvat C V. Digital microscopy: past, present, and future. Arch Pathol Lab Med. 2010;134(11):1666-1670. doi: 10.5858/2009-0579-RAR1.114. Fatermans J, den Dekker AJ, Müller-Caspary K, et al. Single Atom Detection from Low Contrast-to-Noise Ratio Electron Microscopy Images. Phys Rev Lett. 2018;121(5):56101. doi:10.1103/PhysRevLett.121.05610115. Zhang C, Huber F, Knop M, Hamprecht FA. Yeast cell detection and segmentation in bright field microscopy. In: 2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI); 2014:1267-1270. doi:10.1109/ISBI.2014.686810716. Nair RR, Blake P, Grigorenko AN, et al. Fine Structure Constant Defines Visual Transparency of Graphene. Science. 2008;320(5881):1308-1308. doi:10.1126/science.115696517. Xu D, He Y, Yeung ES. Direct Imaging of Transmembrane Dynamics of Single Nanoparticles with Darkfield Microscopy: Improved Orientation Tracking at Cell Sidewall. Anal Chem. 2014;86(7):3397-3404. doi:10.1021/ac403700u18. Neu-Baker NM, Dozier AK, Eastlake AC, Brenner SA. Evaluation of enhanced darkfield microscopy and hyperspectral imaging for rapid screening of TiO2 and SiO2 nanoscale particles captured on filter media. Microsc Res Tech. doi:10.1002/jemt.2385619. Li K, Miller ED, Weiss LE, Campbell PG, Kanade T. Online Tracking of Migrating and Proliferating Cells Imaged with Phase-Contrast Microscopy. In: 2006 Conference on Computer Vision and Pattern Recognition Workshop (CVPRW’06); 2006:65. doi:10.1109/CVPRW.2006.15020. McFadzean JA, Smiles J. Studies of Litomosoides carinii by Phase-contrast microscopy: the Development of the Larvae. J Helminthol. 1956;30(1):25-32. doi:10.1017/S0022149X0003294621. Sun W, Wang G, Fang N, Yeung ES. Wavelength-dependent differential interference contrast microscopy: selectively imaging nanoparticle probes in live cells. Anal Chem. 2009;81(22):9203-9208. doi: 10.1021/ac901623b22. Xiao L, Ha JW, Wei L, Wang G, Fang N. Determining the full three-dimensional orientation of single anisotropic nanoparticles by differential interference contrast microscopy. Angew Chemie Int Ed. 2012;51(31):7734-7738. doi: 10.1002/anie.20120234023. Wolman M, Kasten FH. Polarized light microscopy in the study of the molecular structure of collagen and reticulin. Histochemistry. 1986;85(1):41-49. doi:10.1007/BF0050865224. Slámová M, Očenášek V, Vander Voort G. Polarized light microscopy: utilization in the investigation of the recrystallization of aluminum alloys. Mater Charact. 2004;52(3):165-177. doi:10.1016/j.matchar.2003.10.01025. Lichtman JW, Conchello J-A. Fluorescence microscopy. Nat Methods. 2005;2(12):910-919. doi:10.1038/nmeth81726. Franke W, Appelhans B, Schmid E, Freudenstein C, Osborn M, Weber K. Identification and characterization of epithelial cells in mammalian tissues by immunofluorescence microscopy using antibodies to prekeratin. Differentiation. 1979;15(1-3):7-25. doi:10.1111/j.1432-0436.1979.tb01030.x27. Seto S, Layh-Schmitt G, Kenri T, Miyata M. Visualization of the attachment organelle and cytadherence proteins of Mycoplasma pneumoniae by immunofluorescence microscopy. J Bacteriol. 2001;183(5):1621-1630. doi:10.1128/JB.183.5.1621-1630.200128. Pawley J, Pawley JB. Handbook of Biological Confocal Microscopy. 2006;(August 2010). doi:10.1007/978-0-387-45524-229. Ellis-Davies GCR. Two-Photon Microscopy for Chemical Neuroscience. ACS Chem Neurosci. 2011;2(4):185-197. doi:10.1021/cn100111a30. Helmchen F, Denk W. Deep tissue two-photon microscopy. Nat methods. 2005;2(12):932-940. doi:10.1038/nmeth81831. Sako Y, Uyemura T. 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Figure 17: Image deconvolution. Left: Original fluorescence image. Right: Image after deconvolution, showing increased detail. Credit: Author.
Modulation transfer function
Depth of Field (DoF) refers to the distance between the closest and farthest objects that appears acceptably sharp in a photograph.
These graphs are not different MTFs, they just present the information in different ways. MTF Graph by Frequency indicate how much of the object's contrast is captured in the image as a function of spatial frequency. MTF Graph by Image Circle shows the value changes from the center of the lens's image circle to the outside at a specific lp/mm. This can be extremely useful, especially when large fields of view are in play. Now, let’s have a closer look at both types of MTF graphs.
Figure 8: Differential interference contrast microscopy. Left: Schematic setup for DICM. Right: Live adult Caenorhabditis elegans (C. elegans) nematode imaged by DICM. Credit: Bob Goldstein, Cell Image Library. Reproduced under a Creative Commons Attribution 3.0 Unported license (CC BY 3.0).
In general, MTF graphs with high values indicate good contrast and resolution, meaning that the optical system is capable of reproducing fine details in the image. On the other hand, a low MTF value at a specific spatial frequency indicates a loss of contrast and resolution at a specific level of detail.
The X-axis (horizonal) refers to the Spatial frequency in cycles per mm by indicating the number of line pairs (i.e., one black and one white line) per millimeter (lp/mm)
Now, with more understanding of MTF graphs, you will be able to perform quality assessment and comparison across different manufacturers' products or compare different models from the same manufacturer.
Line pairs per millimeter (lp/mm), a unit of measurement that refers to pairs of alternating dark and white lines (line pairs) that can be distinguished in one millimeter of an image.
The MTF (Modulation Transfer Function) graph is useful not only for industrial users, but also for commercial users. The following illustration is an example of the MTF graph typically used by commercial customers, including those who engage in photography as a hobby or profession. These users typically utilize the MTF graph for a quick assessment of a lens's contrast and sharpness rather than for precise measurement.
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Multiple lines plotted in different colors represent different points along the curvature of the lens (i.e., 0.0000 mm is image center while 5.5000 mm is 5.5 mm from the image center)
MTF
For industrial lens users, it is highly recommended to utilize the MTF (Modulation Transfer Function) graph more proactively for a better assessment of the lens's resolution, contrast performance, and consistent image quality. In this article, we will to go into more detail about MTF graphs and share how you can use them for better lens comparisons.
modulation transfer function中文
Deconvolution in light microscopyWhat's the difference between light microscopy vs electron microscopy?Summary and conclusionLight microscopy techniques comparison table
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LensMTF
In general, similar sagittal and tangential characteristics create a more uniform image. This means that if the sagittal and tangential lines are closer to each other on an MTF graph, the images produced by the lens will have more uniform image performance on both the X-axis (horizontal) and Y-axis (vertical). On the other hand, if the sagittal and tangential lines diverge across an image, it indicates an uneven image with aberrations—meaning the lens is astigmatic. Ideally you want the curves to be closer to each other for more uniform image performance.
Contrast Performance: MTF graphs show contrast levels at various spatial frequencies. High contrast is crucial for image clarity, and MTF graphs help you to evaluate a lens's contrast performance under different conditions.
The Y-axis (vertical) represents the MTF on a scale from 0 to 100% or 1 and is marked by a scale of 10% or 0.1, respectively.
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If you have 1 lp/mm, it means there's 1 pair of lines within a 1mm distance, with each line having a spacing of 0.5mm between them.
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Figure 16: Sample preparation for expansion microscopy. A cell is first stained and then linked to a polymer gel matrix. The cell structure itself is then dissolved (digested), allowing the stained parts to expand isotropically with the gel, allowing the stained structure to be imaged with more detail.
MTF information is plotted onto MTF graphs for easy visualization when assessing the resolution of a lens, and it can be presented in different ways. Generally, MTF graphs are broadly categorized into two main types. The first type (MTF Graph by Frequency) presents the X-axis in terms of lp/mm (line pairs per millimeter). However, this type of graph has the drawback of not accurately depicting a lens's MTF performance across the entire sensor. To address this, the second type of graph (MTF Graph by Image Circle) has been introduced. In this graph, the X-axis represents the position (beginning at the center of the sensor and moving toward its edges), allowing for a more precise assessment of the lens's performance across the entire sensor. However, it has the limitation of only examining specific lp/mm values. For this reason, in most cases, these graphs display representative lp/mm values simultaneously.
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A Coddington magnifier is a magnifying glass with a single very thick lens with a central deep groove diaphragm at the equator that limits ...
What's the difference between light microscopy vs electron microscopy? Light microscopy typically uses wavelengths of light in the visible spectrum, which inherently limits it spatial resolution due to the Rayleigh criterion to approximately half the wavelength used (approximately 200 nm at best). However, even when using objectives with high NA and advanced image processing, this fundamental limit cannot be overcome. Instead, observing smaller structures requires the use of electromagnetic radiation of shorter wavelength. This is the underlying principle of electron microscopy, where electrons are used to illuminate the sample instead of visible light. Electrons have an associated wavelength which is much shorter than visible light, which allows magnifications of up to 10,000,000 x to be achieved, such that even single atoms can be resolved.
In reality, the smaller the spacing of the stripes, the harder it becomes for optical systems (like lenses and cameras) to express them—as shown in the illustration below. Lenses capture these line patterns and project them onto a sensor, and as the line spacing decreases, it becomes increasingly challenging to accurately reproduce them. Consequently, as the line spacing becomes tighter, the contrast of the black and white lines represented through the lens decreases. The MTF (Modulation Transfer Function) graph visually represents this phenomenon, helping us understand how well a lens can reproduce fine details in terms of contrast.
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