CYBER SALE: LOOK FOR 20-75% off THOUSANDS OF ITEMS* Start Here! Image location is dependent on object location. Determining how much light passes through the system is important, but aberrations within the system also play a major role. As an example, consider a system in which light is emitted from a ¼" diameter fiber optic light guide, as shown in Figure 3. Knowing where the light will go is only the first step in designing a light-projecting system; it is just as important to know how much light is transmitted from the object, or the source. These same basic steps can be applied to many system design applications. Unmounted, mounted, or aspherized versions available. The SI unit for optical power is the inverse metre (m−1), which is commonly called the dioptre. Optical power (also referred to as dioptric power, refractive power, focusing power, or convergence power) is the degree to which a lens, mirror, or other optical system converges or diverges light. Figure 5 shows the basic definition of throughput (TP) as expressed in Equation 1.7, where A is the Area of the object, (light source), Ω is the Solid Angle, and z is the Object Distance (with their conjugates in image space as A', Ω', and z'). While spherical aberration is negligible at large apertures or high f/#s, chromatic aberration is greatly reduced with the use of achromats. If both lenses are achromats with convex surfaces facing each other, a far superior imaging system is obtained, as many aberrations are significantly reduced compared to the same system with single lenses (either DCX or two PCXs). The power of a lens is defined as the ability of the lens to converge or diverge a beam of light falling on it. However, some systems benefit from intentional vignetting, as it can eliminate stray light that would negatively affect the quality of the image. The Numerical Aperture (NA) and f-number (f/#) of a lens measure the amount of light it can collect based on f, D, index of refraction (n), and Acceptance Angle (θ). Add a stock number to begin our two-step quote process. Learn about the types of aberrations and how to correct for them. For two or more thin lenses close together, the optical power of the combined lenses is approximately equal to the sum of the optical powers of each lens: P = P1 + P2. For applications that only need one lens, with the object or source at infinity, a better shape factor can be found, to reduce whichever aberration is most detrimental to the system. Two 100mm focal length achromatic lenses with a 25mm diameter would be ideal for creating the projection lens system. In this specific example, outlined in the following series of comparisons, it is easy to see how image quality is affected by the inherent geometry and optical properties of the lenses chosen. Many factors contribute to selecting the right lens for an application: type of source, space constraints, cost, etc. The SI unit of power of a lens is dioptre and often denoted by D. Note that as the focal length of a concave lens is But now I understand the power of concepts in engaging the interest of students–and higher levels of thinking in classrooms. Figure 1 shows a PCX lens, along with several important specifications: Diameter of the lens (D1) and Focal Length (f). Several basic aberrations, such as coma (variation in magnification or image size with aperture), spherical (light rays focusing in front of or behind paraxial focus), and astigmatism (having one focus point for horizontal rays and another for vertical) can be reduced by a large f/#, as shown in the following relations. A PCX lens of f/1, meaning the f/# is 1, would be ideal to place in front of the light guide in order to collimate as much light as possible. But I doubt if a math equation answers what you probably are asking. Compare the two ray It is equal to the reciprocal of the focal length of the device: P = 1/f. The distance of the condenser lens system to the projector lens system is at least as great as the distance from the reticle to the projector lens system. Because emitters and detectors are areas of light and not point sources, the diameter of a lens affects TP even when the ratio between Diameter and Focal Length (specified by f/#) remains constant. The convex surfaces are nearly in contact, with the aperture stop located between them. For these reasons, a DCX lens is preferable to a single PCX lens for 1:1 imaging.


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