When using fixed focal length lenses, there are three ways to change the FOV of the system (camera and lens). The first and often easiest option is to change the WD from the lens to the object; moving the lens farther away from the object plane increases the FOV. The second option is to swap out the lens with one of a different focal length. The third option is to change the size of the sensor; a larger sensor will yield a larger FOV for the same WD, as defined in Equation 1.

Aspheric lenses go way beyond being an advancement in optics; they form a bedrock in many applications requiring high precision and efficiency. They have lighter weight allowing for thin structures that reduce aberrations hence providing clearer images. Here is how different field uses aspheric lenses:

Correction of Spherical Aberration: One of the key advantages of aspheric lenses is their ability to correct spherical aberration. Spherical aberration occurs when light rays passing through a spherical lens do not converge to a single point, resulting in blurred and distorted images. Aspheric lenses, with their non-spherical surface profile, can mitigate spherical aberration and produce sharper and clearer images across the entire field of view.

If the required magnification is already known and the WD is constrained, Equation 3 can be rearranged (replacing $ \small{ \tfrac{H}{\text{FOV}}} $ with magnification) and used to determine an appropriate fixed focal length lens, as shown in Equation 6.

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Versatility in Design: Aspheric lenses offer greater design flexibility compared to spherical lenses. Designers can optimize the surface profile of aspheric lenses to achieve specific optical properties and correct for various aberrations. This versatility allows for the customization of lenses to meet specific application requirements.

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Be aware that Equation 6 is an approximation and will rapidly deteriorate for magnifications greater than 0.1 or for short WDs. For magnifications beyond 0.1, either a fixed magnification lens or computer simulations (e.g. Zemax) with the appropriate lens model should be used. For the same reasons, lens calculators commonly found on the internet should only be used for reference. When in doubt, consult a lens specification table.

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While most sensors are 4:3, 5:4 and 1:1 are also quite common. This distinction in aspect ratio also leads to varying dimensions of sensors of the same sensor format. All of the equations used in this section can also be used for vertical FOV as long as the sensor’s vertical dimension is substituted in for the horizontal dimension specified in the equations.

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An aspheric lens is a type of lens that has a non-spherical surface profile, meaning it does not have a constant curvature across its entire surface. This unique design allows aspheric lenses to correct for spherical aberrations, resulting in improved image quality and reduced optical aberrations.

Note: As the magnification increases, the size of the FOV will decrease; a magnification that is lower than what is calculated is usually desirable so that the full FOV can be visualized. In the case of Example 2, a 0.25X lens is the closest common option, which yields a 25.6mm FOV on the same sensor.

As previously stated, some amount of flexibility to the system’s WD should be factored in, as the above examples are only first-order approximations and they also do not take distortion into account.

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Aspheric lensglasses

By employing accurate and reliable metrology techniques, manufacturers can validate the quality of aspheric lenses and guarantee their performance in optical systems.

Precision polishing is employed to attain the exact mirror-like finish required for aspheric lenses. This technique smoothens carefully the surface removing any flaws hence reaching the desired optical clarity. • Advantages: Provides better surface finishing and works well with different lens sizes and materials. • Use Cases: Frequently applied to expensive optical devices such as aerospace and medical imaging equipment.

The accurate measurement of aspheric surfaces is vital in verifying their quality and performance. Metrology techniques such as interferometry and profilometry are commonly used for aspheric surface characterization.

Improved Light Transmission: Aspheric lenses have improved light transmission due to their optimized surface profile. This results in higher light throughput, allowing more light to reach the image sensor or retina. Improved light transmission enhances overall image brightness and quality, particularly in low-light conditions.

Aspheric lenses offer several advantages over traditional spherical lenses, making them a popular choice in various optical systems. However, it is important to consider the disadvantages as well. Let’s explore the advantages and disadvantages of aspheric lenses in more detail.

In the fast-moving optical technology world, custom aspheric lenses are the epitome of innovation, addressing very particular and special requirements. However, these lenses are not just ready-to-wear types; they are meticulously constructed and designed in order to meet their user’s exact desires. This article follows how custom aspheric lens designs originate from and who benefits from them.

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The focal length of a lens is a fundamental parameter that describes how strongly it focuses or diverges light. A large focal length indicates that light is bent gradually while a short focal length indicates that the light is bent at sharp angles. In general, lenses with positive focal lengths converge light while lenses with negative focal lengths cause light to diverge, although there are some exceptions based on the distance from the lens to the object being imaged.

Optical Requirements: Determine the specific optical properties required for your application, such as focal length, numerical aperture, and wavelength range. Consider the impact of aspheric aberrations on your system’s performance.

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Field of view describes the viewable area that can be imaged by a lens system. This is the portion of the object that fills the camera’s sensor. This can be described by the physical area which can be imaged, such as a horizontal or vertical field of view in mm, or an angular field of view specified in degrees. The relationships between focal length and field of view are shown below.

Improved Optical Performance: Aspheric lenses provide improved optical performance compared to spherical lenses. By correcting aberrations such as coma, astigmatism, and distortion, aspheric lenses deliver higher image quality and resolution. This improvement in optical performance is particularly noticeable in wide-angle and high-power lenses.

These lenses are available in various shapes, including plano-convex, plano-concave, biconvex, biconcave, and meniscus, each tailored for specific optical tasks.  For instance, plano-convex aspheric lenses are often employed in applications requiring precise light focusing or collimation.  On the other hand, meniscus aspheric lenses are adept at controlling aberrations in more complex optical systems.

Lastly, each of these aspheric lenses has to undergo rigorous quality control as well as testing to ensure it meets required optical standards. Such processes involve examining aspects like precision pertaining to surfaces used, transparency and types of aberrations.

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Production of aspheric lenses is a very careful process that involves advanced technology and precise engineering. It starts with raw material and goes through several stages till the final product-a detailed guide on making an aspheric lens highlighting the most crucial steps that guarantee high quality lenses.

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Interferometry: Interferometric methods, such as white light interferometry and phase-shifting interferometry, are used to measure the surface shape and deviations from the desired aspheric profile. Interferometers provide high-resolution measurements and are widely used in the optics industry.

Choosing the right material for making an aspheric lens is the first step involved in this process. Materials may range from glass for precise optical instruments to polymers used in consumer eye-wear.

Knowledge Center/ Application Notes/ Imaging Application Notes/ Understanding Focal Length and Field of View

In many applications, the required distance from an object and the desired FOV (typically the size of the object with additional buffer space) are known quantities. This information can be used to directly determine the required AFOV via Equation 2. Equation 2 is the equivalent of finding the vertex angle of a triangle with its height equal to the WD and its base equal to the horizontal FOV, or HFOV, as shown in Figure 2. Note: In practice, the vertex of this triangle is rarely located at the mechanical front of the lens, from which WD is measured, and is only to be used as an approximation unless the entrance pupil location is known.

After the process of machining, the lenses are then polished so that any imperfections within them can be eliminated and clearness of optical sort obtained as a result. This is highly relevant for aspheric ones because even minor surface defects can greatly affect their performance.

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While it may be convenient to have a very wide AFOV, there are some negatives to consider. First, the level of distortion that is associated with some short focal length lenses can greatly influence the actual AFOV and can cause variations in the angle with respect to WD due to distortion. Next, short focal length lenses generally struggle to obtain the highest level of performance when compared against longer focal length options (see Best Practice #3 in Best Practices for Better Imaging). Additionally, short focal length lenses can have difficulties covering medium to large sensor sizes, which can limit their usability, as discussed in Relative Illumination, Roll-Off, and Vignetting.

Wide Range of Applications: Aspheric lenses find applications in various fields, including photography, astronomy, microscopy, medical devices, and more. Their ability to correct aberrations, improve image quality, and provide design flexibility makes them suitable for a wide range of optical systems.

By carefully considering these factors, you can select the most suitable aspheric lenses for your optical system and ensure optimal performance.

Surface Accuracies: Consider the desired surface accuracies, including form errors, waviness, and surface roughness, to ensure optimal performance. The surface quality of aspheric lenses affects their ability to correct aberrations and deliver high-quality images.

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Example 2: For an application using a ½” sensor, which has a horizontal sensor size of 6.4mm, a horizontal FOV of 25mm is desired.

Generally, lenses that have fixed magnifications have fixed or limited WD ranges. While using a telecentric or other fixed magnification lens can be more constraining, as they do not allow for different FOVs by varying the WD, the calculations for them are very direct, as shown in Equation 4.

The 14.25° derived in Example 1 (see white box below) can be used to determine the lens that is needed, but the sensor size must also be chosen. As the sensor size is increased or decreased it will change how much of the lens’s image is utilized; this will alter the AFOV of the system and thus the overall FOV. The larger the sensor, the larger the obtainable AFOV for the same focal length. For example, a 25mm lens could be used with a ½” (6.4mm horizontal) sensor or a 35mm lens could be used with a 2/3” (8.8mm horizontal) sensor as they would both approximately produce a 14.5° AFOV on their respective sensors. Alternatively, if the sensor has already been chosen, the focal length can be determined directly from the FOV and WD by substituting Equation 1 in Equation 2, as shown in Equation 3.

\begin{align}\text{AFOV} & = 2 \times \tan^{-1} \left( {\frac{50 \text{mm}}{2 \times 200 \text{mm}}} \right)  \\ \text{AFOV} & = 14.25° \end{align}

The aspheric design allows for the correction of spherical aberration—a common issue in spherical lenses where light rays converge at different points, leading to blurred or distorted images.  By fine-tuning the surface profile of aspheric lenses, optical designers achieve a level of control over the light path that is impossible with traditional spherical lenses.

Aspheric lenses play a vital role in modern optics, offering improved optical performance, reduced aberrations, and enhanced imaging capabilities. Their unique surface profile allows for the correction of spherical aberrations and the production of compact and lightweight optical systems. With advancements in manufacturing techniques, aspheric lenses are becoming more accessible and cost-effective. Whether in photography, microscopy, medical devices, or defense optics, aspheric lenses continue to push the boundaries of optical technology, enabling clearer, sharper, and more accurate imaging.

Aspheric lenses have revolutionized the field of optics with their ability to correct spherical aberrations and improve optical performance. In this comprehensive guide, we delve into the world of aspheric lenses, including glass lens and plastic aspheric lenses, their advantages, manufacturing methods, specifications, and applications. Whether you’re a photographer using a camera lens, a scientist, or an engineer, understanding aspheric lenses and the optical axis is crucial in optimizing your optical systems.

As a rule, anti-reflective or other special coatings are usually applied on aspheric lenses to improve their efficiency. This stage enhances the transmission of light while reducing reflections, especially in such applications as eyeglasses and camera lenses.

Unlike traditional spherical lenses, which have the same curvature across their surface, aspheric lenses have a varying curvature that follows a specific mathematical equation. This equation determines the shape of the lens surface and allows for precise correction of aberrations.

Another method for producing polymer-based asphere is injection molding process. The molten polymer is injected into a precision mold, cooled down, and then released as a finished lens. • Advantages: Cost-effective in mass production and low cost per unit. • Use Cases: Could be used to make eyeglasses or contact lenses from various materials.

Radius and Metrology Techniques: Choose the appropriate radius of curvature based on your system’s requirements. Understand the metrology techniques required for accurate measurement and verification of the aspheric surfaces.

Profilometry: Profilometers, including contact and non-contact types, are used to measure surface roughness, waviness, and form errors. These measurements help assess the surface quality and ensure compliance with the desired specifications.

Molded Polymer Aspheres are similar to PGM except they utilize polymer materials instead of glass. This results in lightweight and cost-effective lens options. • Advantages: MPA is cheaper than glass, yet allows sufficient light transmission so long as it’s durably made. • Use Cases: Mass-market eyewear or other optics for consumers.

Precision Glass Molding is a technique that can produce many aspheric lenses at once. It consists of heating the glass blank until it becomes moldable then pressing it into a mold with the desired form. • Advantages: PGM is cost-effective for large-scale manufacturing and promotes uniformity among lenses. • Use Cases: Complex lens shapes on consumer electronics like camera lenses and smartphone optics.

Once the material has been decided upon, it is shaped into a rough lens blank. This can be done using molding or machining methods depending on the material and precision required.

In general, however, the focal length is measured from the rear principal plane, rarely located at the mechanical back of an imaging lens; this is one of the reasons why WDs calculated using paraxial equations are only approximations and the mechanical design of a system should only be laid out using data produced by computer simulation or data taken from lens specification tables. Paraxial calculations, as from lens calculators, are a good starting point to speed the lens selection process, but the numerical values produced should be used with caution.

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Another way to change the FOV of a system is to use either a varifocal lens or a zoom lens; these types of lenses allow for adjustment of their focal lengths and thus have variable AFOV. Varifocal and zoom lenses often have size and cost drawbacks compared to fixed focal length lenses, and often cannot offer the same level of performance as fixed focal length lenses.

Reduced Flare and Ghosting: Aspheric lenses are known for their ability to reduce flare and ghosting, which are common optical artifacts caused by internal reflections within the lens elements. By minimizing these artifacts, aspheric lenses deliver images with improved contrast and clarity, particularly in challenging lighting conditions.

Aspheric lenses, with their unique and varied anatomical features, present a significant advancement in optical technology.  Unlike their spherical counterparts that maintain a constant radius of curvature, aspheric lenses boast a radius that changes according to a specific mathematical equation.  This equation, often a conic section or an aspheric polynomial, is pivotal in defining the lens’s surface shape, enabling it to correct aberrations more precisely than a spherical lens.

Surface Imperfections: Achieving high surface quality in aspheric lenses can be more difficult compared to spherical lenses. The non-spherical surface profile of aspheric lenses makes them more susceptible to surface irregularities, such as scratches and imperfections. Careful handling and quality control are necessary to ensure optimal surface quality.

Complex Manufacturing Process: Aspheric lenses require more specialized manufacturing techniques compared to spherical lenses. The manufacturing process involves precise control of the lens surface profile, which can be challenging and time-consuming. This complexity often results in higher production costs for aspheric lenses.

Aspheric lenses, designed to control the distance from the optical axis, maintain a constant focal length while minimizing aberrations, making them perfect for a myriad of applications, including photography, astronomy, eyewear, and more. By using aspheric lenses, optical systems can achieve higher resolution, improved light throughput, and enhanced image quality.

What is an aspheric lensused for

Note: Horizontal FOV is typically used in discussions of FOV as a matter of convenience, but the sensor aspect ratio (ratio of a sensor’s width to its height) must be taken into account to ensure that the entire object fits into the image where the aspect ratio is used as a fraction (e.g. 4:3 = 4/3), Equation 7.

The manufacture of aspheric lenses is a combination of art and science. These specialized techniques not only ensure high-quality optics, but also account for the special problems posed by aspheres. Here are five key methods used in making aspheric lenses.

Compact and Lightweight Design: Aspheric lenses can replace multiple spherical lenses, reducing the number of optical elements required in an optical system. This compact design not only saves space but also reduces the weight of devices such as cameras and eyewear. The lightweight nature of aspheric lenses enhances user comfort and portability.

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Note: Fixed focal length lenses should not be confused with fixed focus lenses. Fixed focal length lenses can be focused for different distances; fixed focus lenses are intended for use at a single, specific WD. Examples of fixed focus lenses are many telecentric lenses and microscope objectives.

Interferometry and Profilometry: Interferometric methods, such as white light interferometry and phase-shifting interferometry, are used to measure the surface shape and deviations from the desired aspheric profile. Profilometers, including contact and non-contact types, are used to measure surface roughness, waviness, and form errors. These measurements help assess the surface quality and ensure compliance with the desired specifications.

Diamond turning comes into play with highly accurate aspherical lenses. It uses a diamond-tipped tool to carve away nanometer by nanometer until it reaches the aspherical shape of the lens.

Once the required AFOV has been determined, the focal length can be approximated using Equation 1 and the proper lens can be chosen from a lens specification table or datasheet by finding the closest available focal length with the necessary AFOV for the sensor being used.

A fixed focal length lens, also known as a conventional or entocentric lens, is a lens with a fixed angular field of view (AFOV). By focusing the lens for different working distances (WDs), differently sized field of view (FOV) can be obtained, though the viewing angle is constant. AFOV is typically specified as the full angle (in degrees) associated with the horizontal dimension (width) of the sensor that the lens is to be used with.

Diamond turning is an advanced manufacturing process that uses diamond cutting tools to shape lens materials with exceptional accuracy. Prototype development or use of non-moldable materials are some examples where this method can be useful for. • Advantages: Offers flexibility in terms of both material choice and design plus affords great precision. • Use Cases: Used when producing infrared optics or creating high-precision custom lens shapes.

Manufacturing Tolerances: Understand the manufacturing tolerances of the aspheric lenses, including diameter tolerance, surface quality tolerance, and form error tolerance. Consider the impact of these tolerances on your system’s performance.

Reduced Lens Aberrations: Same as achromatic lenses, aspheric lenses help minimize various aberrations, including chromatic aberration, field curvature, and astigmatism. Chromatic aberration, which causes color fringing, is reduced in aspheric lenses, resulting in more accurate color reproduction. Field curvature, the curvature of the focal plane, is also better controlled in aspheric lenses, resulting in sharper focus across the entire image. Astigmatism, which causes distorted and elongated images, is corrected or minimized in aspheric lenses, leading to clearer and more accurate images.

Limited Availability: Aspheric lenses may not be as widely available as spherical lenses, particularly in certain sizes and specifications. This limited availability can make it more challenging to source specific aspheric lenses for custom applications or niche markets.

Collimation is the process of aligning the mirrors of your telescope so that they work in concert with each other to deliver properly.

The focal length of a lens defines the AFOV. For a given sensor size, the shorter the focal length, the wider the AFOV. Additionally, the shorter the focal length of the lens, the shorter the distance needed to obtain the same FOV compared to a longer focal length lens. For a simple, thin convex lens, the focal length is the distance from the back surface of the lens to the plane of the image formed of an object placed infinitely far in front of the lens. From this definition, it can be shown that the AFOV of a lens is related to the focal length (Equation 1), where $ \small{f} $ is the focal length and $ \small{H} $ is the sensor size (Figure 1).

Despite these disadvantages, the benefits of aspheric lenses often outweigh the drawbacks in many optical systems. The improved optical performance, correction of aberrations, compact design, and versatility make aspheric lenses a valuable tool in various industries.