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GB/T 4315.1-2009: Optical transfer function -- Part 1: Terminology and symbol Delivery: 9 seconds. True-PDF full-copy in English & invoice will be downloaded + auto-delivered via email. See step-by-step procedure Status: Valid GB/T 4315.1: Historical versions
Similar standardsGB/T 4315.1-2009: Optical transfer function -- Part 1: Terminology and symbol---This is an excerpt. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.), auto-downloaded/delivered in 9 seconds, can be purchased online: https://www.ChineseStandard.net/PDF.aspx/GBT4315.1-2009GB NATIONAL STANDARD OF THE PEOPLE’S REPUBLIC OF CHINA ICS 37.020 N 30 Replacing GB/T 4315.1-1984 Optical transfer function - Part 1: Terminology and symbol (ISO 9334:2007, Optical transfer function - Definitions and mathematical relations, MOD) ISSUED ON: SEPTEMBER 30, 2009 IMPLEMENTED ON: DECEMBER 01, 2009 Issued by: General Administration of Quality Supervision, Inspection and Quarantine of PRC; Standardization Administration of PRC. Table of ContentsForeword ... 3 1 Scope ... 5 2 Normative references ... 5 3 Basic terms and definitions ... 5 4 Terms and definitions in measurement... 16 5 Symbol and unit name ... 21 Optical transfer function - Part 1: Terminology and symbol1 ScopeThis part of GB/T 4315 specifies the terms, which are related to the optical transfer function AND the mathematical relationship between them, based on the relationship, BETWEEN the optical transfer function of the imaging system AND the point spread function. It also specifies various important parameters, which are needed to explain, in the measurement of the optical transfer function. This part applies to the measurement of optical transfer function of all optical, electro-optical, other imaging systems.2 Normative referencesThe clauses in the following documents have become clauses of this part, by reference to this part of GB/T 4315. For the dated references, the subsequent amendments (excluding corrections) or revisions do not apply to this part; however, parties who reach an agreement based on this part are encouraged to study if the latest versions of these documents are applicable. For undated references, the latest edition of the referenced document applies. GB/T 4315.2 Optical transfer function - Part 2: Directives of measurement (GB/T 4315.2-2009, ISO 9335:1995, Optical transfer function - Principles and procedures of measurement, IDT)3 Basic terms and definitions3.1 Linearity The characteristic of equalizing the response of an imaging system to the input signal strength. 3.2 Linear range The range of the input signal, within the display linearity of an imaging PTF The argument of the optical transfer function D (r, s). Note: The phase transfer function is equal to zero, at zero spatial frequency. The value of the phase transfer function is related to the position of the origin of the reference coordinate system of the point spread function. The displacement of the origin position will cause the phase transfer function to produce an additional term, that is linear to r and s. 3.11 One-dimensional optical transfer function D (r) A one-dimensional representation of the OTF of a one-dimensional azimuth, in a specified direction. Note 1: In most cases, the transfer function is usually in one-dimensional form. At this time, the spatial frequency variables, r and s, are simplified to a single spatial frequency variable, r', and an orientation variable, Ψ, (see 4.21 and 4.22), where Ψ is part of the imaging state (see Figure 1): For convenience, D (r', Ψ) is written as D (r). By convention, the meridian OTF corresponds to the meridian direction Ψ = 90°; the radial OTF corresponds to the radial direction Ψ = 0°. Note 2: Figure 1 respectively introduces the regional right-handed coordinate system, (u, v) and (r, s), AND the right-handed pupil coordinate system. The reference line of the azimuth angle Ψ is perpendicular to the constant irradiance line of the image pattern. When scanning the slit or the edge of the blade, the perpendicular direction is consistent with the scanning direction, THEN, the angle Ψ is the included angle, BETWEEN the u axis or the r axis AND the scanning direction. If the starting point is the premise, a right-handed coordinate system must be used. In optics, the meridian plane usually contains the x2-axis but not the x1-axis. The specific descriptions are as follows: a) The reference axis is the z-axis. b) In the exit pupil's center, the exit pupil's coordinate system has its origin. The x- axis is perpendicular to the meridian plane; the y-axis is located within the meridian plane; the x, y, z form a right-handed coordinate system. c) For the end point of the image vector h', the regional image field's coordinate system (u, v) [or for the (r, s) of each Fourier invertible space] has its origin. The u-axis (or r-axis) is perpendicular to the meridian plane; the v-axis (or s-axis) lies within the meridian plane. For example, in the direction of the image vector h', the reference axis's direction of a right-handed coordinate system is composed by (u, v) or (r, s). d) Calculate the azimuth angle Ψ, from the perpendicular direction of the reference line's u-axis or r-axis to the image constant intensity line. e) Calculate the reference angle Φ, from the reference mark vector of the reference line to the meridian plane. When the mark is facing the opposite direction of the reference axis, the mark that rotates counterclockwise is positive. 3.12 Spatial frequency The reciprocal of the space distribution period of a straight-line sine. Note: Spatial frequency is a variable in Fourier space. It can be expressed by a straight line or an angle. The unit name of the spatial frequency is set as 1/mm or 1/milliradian (1/degree). 3.13 Line spread function LSF The naturalized irradiance distribution of the incoherent line source image, which can be expressed as the convolution of the point spread function P (u, v), wherein P (u, v) has an infinite narrow line whose length is contained in the isoplanatic region δ (u). For a narrow line, which is parallel to the v-axis, δ (u) is the Dirac delta function. Where: Imax - The maximum value of the amount of radiation emitted or irradiated; Imin - The minimum value of the amount of radiation emitted or irradiated. 3.18 Modulation transfer factor T (r0) The MTF value under a certain spatial frequency r0. Note: Under special circumstances, when the object is a sine grating of a certain spatial frequency r0, meanwhile it is in the linear range and isoplanatic region, the modulation transfer coefficient T (r0) is the ratio, of the modulation of the image to the modulation of the object. 3.19 Phase transfer value The PTF value under a certain spatial frequency r0. Note: In the linear range and isoplanatic region, when a sinusoidal pattern's image has a lateral displacement, as relative to the position of the geometrical optics (Gaussian optics) image, the ratio of this displacement to the image period, which is multiplied by 2π radians, to obtain the phase transfer value. 3.20 Wave aberration function Wλ (x, y) The optical path difference, BETWEEN the wavefront of the wavelength λ, which is emitted by a given object point, on the exit pupil after passing through the optical system, AND a reference sphere, which is centered on the image point. Note: The wavefront aberration function provides a measure of the phase change of the wavefront through the exit pupil. 3.21 Pupil function 3.22 Amplitude point spread function Amplitude impulse response Ap, λ (u, v) The relative distribution of the complex amplitude of point source image. Note 1: After using an appropriate naturalization constant, the amplitude point's spread function is the Fourier transform of the pupil function Pλ (x, y). Where: u, v - Cartesian coordinates, which use the geometric optical image point of the object point as the origin, wherein the x-axis and the v-axis are respectively taken to be parallel to x-axis and y-axis; R - The reference spherical radius of the selected image point. See Figure 1 and note 2 to 3.11. Note 2: The relationship between the point spread function and the amplitude point spread function is as follows: Here the asterisk stands for complex conjugate. 3.23 Autocorrelation integral Duffieux integral The mathematical procedures, which are used to evaluate the autocorrelation of the pupil function of monochromatic illumination, in this part. Note: Except where the imaging system has a particularly large aperture ratio or field angle, the two-dimensional optical transfer function can be expressed as the autocorrelation integral of the pupil function Pλ (x, y). According to the equation: radiation, the spectral transmittance of the device, the spectral sensitivity of the filter or detector. Note 2: The weight function F (λ) must match the spectral characteristics of the imaging equipment, which is related to the application.4 Terms and definitions in measurement4.1 Object pattern The spatial distribution of radiation, that can be imaged by the test system. 4.2 Image pattern Corresponding to the object pattern, the spatial distribution of radiation, that can be detected at the output end of the imaging system. 4.3 Object field The allowable range of the object pattern. Note: The center of the object field and the center of the image field shall correspond to each other. 4.4 Image field The range of the detectable image pattern, which is formed by the system in the test. 4.5 Analyzed area The part of the image field, which is analyzed during OTF measurement. 4.6 Reference axis A straight line, which is defined by an appropriate characteristic, that can be Object (image) pattern vector A vector pointing to the midpoint of the object (image) pattern (see Figure 1). 4.11 Reference mark vector A vector, which is perpendicular to the reference axis AND pointing to a reference mark of the specimen (see Figure 1). 4.12 Reference angle The angle, BETWEEN the plane, which is formed by the reference mark vector and the reference axis, AND the plane, which is formed by the pattern vector and the reference axis. Note: The coordinate system of the reference axis, which is defined in this way, is a right-handed coordinate system, so the reference angle Ф is defined as shown in Figure 1 (see Figure 1 and note 2 to 3.11). 4.13 Object field angle The absolute value of the angle, BETWEEN the reference axis AND the direction of radiation propagation, from the object at infinity object to the entrance pupil of the test sample. 4.14 Image field angle ω' The absolute value of the angle, BETWEEN the reference axis AND the direction of radiation propagation, from the exit pupil of the test sample to the infinity image. 4.15 Object height under test (such as mounting flanges or mounting special-purpose fixtures). 4.20 Reference plane A plane of the reference surface. 4.21 Radial azimuth The azimuth of the object pattern, when the direction of the slit, edge object or grating line is the direction of the object or image pattern vector. Note: Other azimuths are given by angle Ψ, as shown in Figure 1 and note 2 to 3.11. 4.22 Tangential azimuth The azimuth of the object pattern, which is specified when the direction of the slit, edge object or grating line is at right angles to the direction of the object or image pattern vector. Note 1: Other azimuths are given by angle Ψ, as shown in Figure 1. Note 2: When the direction of the test pattern on the axis, slit, edge object or grating line is toward the reference mark, it is set as the tangential azimuth. At this time, the lens shall be installed, so that the reference mark is at the uppermost position. 4.23 Image scale Magnification The ratio of the image height to the object height, at the paraxial limit. Note: In the case of infinite object and finite distance image conjugate, the image scale is zero. When the object and the image are both infinitely conjugated, the image scale is the angular magnification of the system. The angular magnification is the ratio of tanω to tanω'. 4.24 Local image scale ......Source: Above contents are excerpted from the full-copy PDF -- translated/reviewed by: www.ChineseStandard.net / Wayne Zheng et al. Tips & Frequently Asked Questions:Question 1: How long will the true-PDF of English version of GB/T 4315.1-2009 be delivered?Answer: The full copy PDF of English version of GB/T 4315.1-2009 can be downloaded in 9 seconds, and it will also be emailed to you in 9 seconds (double mechanisms to ensure the delivery reliably), with PDF-invoice.Question 2: Can I share the purchased PDF of GB/T 4315.1-2009_English with my colleagues?Answer: Yes. The purchased PDF of GB/T 4315.1-2009_English will be deemed to be sold to your employer/organization who actually paid for it, including your colleagues and your employer's intranet.Question 3: Does the price include tax/VAT?Answer: Yes. 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