Browsing by Author "Shiue, SG"

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Direct focusing modifications of elliptical Gaussian beam by non-circular apertures
(1998-11-01)
Chan, SH
;
Shiue, SG
;
Lu, MH
;
光電工程研究所
;
Institute of EO Enginerring
For focusing the elliptical Gaussian beam directly, the effects of a non-circular aperture on the focusing properties are studied. The focusing properties for different shapes of apertures, which include a circle, an ellipse and a rectangle, are calculated and compared. Moreover, for different elliptical Gaussian beams, an empirical aperture selection rule that can be used to circularize the focusing spot is proposed. The energy transmission ratios are also considered in this paper.
Direct focusing modifications of elliptical Gaussian beam by non-circular apertures
(1998-11-01)
Chan, SH
;
Shiue, SG
;
Lu, MH
;
光電工程學系
;
Department of Photonics
For focusing the elliptical Gaussian beam directly, the effects of a non-circular aperture on the focusing properties are studied. The focusing properties for different shapes of apertures, which include a circle, an ellipse and a rectangle, are calculated and compared. Moreover, for different elliptical Gaussian beams, an empirical aperture selection rule that can be used to circularize the focusing spot is proposed. The energy transmission ratios are also considered in this paper.
First-order analysis of a three-lens afocal zoom system
(1997-04-01)
Yeh, MS
;
Shiue, SG
;
Lu, MH
;
交大名義發表
;
光電工程學系
A general analysis for the first-order design of a three-lens afocal zoom system with one lens fixed is presented. The reasonable solution areas in the focal length diagrams with positive or negative magnification are derived and shown graphically. The relation between the two separations of the three lenses in zooming is found to be a hyperbola. According to the different locations of hyperbola centers, four cases are analyzed. From the four hyperbolic graphs, we get five different types of zoom systems. For each zoom type, we find the maximum range of magnification and the position where the maximum or minimum system length occurs during zooming. The zoom loci for the first or second lens fixed are also discussed. (C) 1997 Society of Photo-Optical Instrumentation Engineers.
First-order analysis of a three-lens afocal zoom system
(1997-04-01)
Yeh, MS
;
Shiue, SG
;
Lu, MH
;
光電工程研究所
;
Institute of EO Enginerring
A general analysis for the first-order design of a three-lens afocal zoom system with one lens fixed is presented. The reasonable solution areas in the focal length diagrams with positive or negative magnification are derived and shown graphically. The relation between the two separations of the three lenses in zooming is found to be a hyperbola. According to the different locations of hyperbola centers, four cases are analyzed. From the four hyperbolic graphs, we get five different types of zoom systems. For each zoom type, we find the maximum range of magnification and the position where the maximum or minimum system length occurs during zooming. The zoom loci for the first or second lens fixed are also discussed. (C) 1997 Society of Photo-Optical Instrumentation Engineers.
First-order analysis of a three-lens zoom system with the last lens fixed
(1998-02-01)
Yeh, MS
;
Shiue, SG
;
Lu, MH
;
光電工程學系
;
Department of Photonics
A general analysis for the first-order solutions of three-lens zoom system with the last lens fixed is presented. The reasonable solution areas in the focal length diagrams are derived and shown graphically. The relation between the separation of the two front lenses and the image distance of middle lens in zooming is found to be a hyperbola. According to the different locations of centre of hyperbola, four cases are analysed. From the four hyperbolic graphs, we get six different types of zoom system. For each zoom type, we find the maximum range of focal length and the position where the maximum or minimum system length occurs during zooming.
First-order analysis of a two-conjugate zoom system
(1996-11-01)
Yeh, MS
;
Shiue, SG
;
Lu, MH
;
光電工程學系
;
Department of Photonics
A general analysis for the first-order design of the two-conjugate zoom system, which consists of three lenses and has a real or virtual image, is presented. The design formulas are derived. Of two-conjugate zoom systems, we analyze the solution areas in the system parameter diagrams under two particular initial conditions in which the object/image and pupil magnifications of the middle lens are taken to be 1 and -1 or -1 and 1. Two design methods are proposed. Several examples are given to demonstrate the proposed design procedures. (C) 1996 Society of Photo-Optical Instrumentation Engineers.
Method of solving a triplet comprising a singlet and a cemented doublet with given primary aberrations
(1997-07-01)
Chen, CH
;
Shiue, SG
;
Lu, MH
;
交大名義發表
;
光電工程學系
A simple algebraic algorithm is proposed as a computational tool for the thin-lens design of a triplet which consists of a singlet and a cemented doublet. The triplet is required to yield specified amounts of lens power, primary spherical aberration, central coma, longitudinal chromatic aberration and secondary spectrum. The three element powers of the triplet are first obtained by solving the simultaneous linear equations of the total lens power, longitudinal chromatic aberration and secondary spectrum. A quadratic equation is obtained by combining the equations of spherical aberration and central coma, and the lens shapes are then obtained by solving this quadratic equation. The solving process is purely algebraic and is therefore easy to calculate and guarantees that all the solutions can be found.
Method of solving a triplet comprising a singlet and a cemented doublet with given primary aberrations
(1997-07-01)
Chen, CH
;
Shiue, SG
;
Lu, MH
;
光電工程研究所
;
Institute of EO Enginerring
A simple algebraic algorithm is proposed as a computational tool for the thin-lens design of a triplet which consists of a singlet and a cemented doublet. The triplet is required to yield specified amounts of lens power, primary spherical aberration, central coma, longitudinal chromatic aberration and secondary spectrum. The three element powers of the triplet are first obtained by solving the simultaneous linear equations of the total lens power, longitudinal chromatic aberration and secondary spectrum. A quadratic equation is obtained by combining the equations of spherical aberration and central coma, and the lens shapes are then obtained by solving this quadratic equation. The solving process is purely algebraic and is therefore easy to calculate and guarantees that all the solutions can be found.
Method of solving cemented triplets with given primary aberrations
(1997-04-01)
Chen, CH
;
Shiue, SG
;
Lu, MH
;
交大名義發表
;
光電工程學系
An effective algorithm is proposed for solving the structure of thin-lens cemented triplets which consist of three different glass types and have the given target values of power, primary spherical aberration, coma and longitudinal chromatic aberration. The formulae for the aberrations are combined with the power formula into a fifth-order polynomial equation in one variable, whose roots can all be solved by a combination of numerical and algebraic methods.
Method of solving cemented triplets with given primary aberrations
(1997-04-01)
Chen, CH
;
Shiue, SG
;
Lu, MH
;
光電工程研究所
;
Institute of EO Enginerring
An effective algorithm is proposed for solving the structure of thin-lens cemented triplets which consist of three different glass types and have the given target values of power, primary spherical aberration, coma and longitudinal chromatic aberration. The formulae for the aberrations are combined with the power formula into a fifth-order polynomial equation in one variable, whose roots can all be solved by a combination of numerical and algebraic methods.
Method of solving triplets consisting of a singlet and air-spaced doublet with given primary aberrations
(1998-10-01)
Chen, CH
;
Shiue, SG
;
Lu, MH
;
光電工程學系
;
Department of Photonics
An effective algebraic algorithm is proposed as a computational tool for solving the thin-lens structure of a triplet which consists of a singlet and an air-spaced doublet. The triplet is required to yield specified amounts of lens power and four primary aberrations: spherical aberration, coma, longitudinal chromatic aberration and secondary spectrum. In addition, the air spacing is used to control the zonal spherical aberration and spherochromatism. The problem is solved in the following manner. First, the equations for power and chromatic aberration are combined into a quartic polynomial equation if the object is at a finite distance, or combined into a quadratic polynomial equation if the object is at infinity. The roots give the element powers. Second, the lens shapes are obtained by solving the quartic polynomial equation which is obtained by combining the equations of spherical aberration and coma. Since quartic and quadratic equations can be solved using simple algebraic methods, the algorithm is rapid and guarantees that all the lens forms can be found.
Solution for first-order design of a two-conjugate zoom system
(1997-08-01)
Yeh, MS
;
Shiue, SG
;
Lu, MH
;
光電工程學系
;
Department of Photonics
The first-order solution is analyzed with particularly initial conditions for a two-conjugate zoom system that consists of three lenses. We find the solution ranges of system parameters with the conditions in which the object/image and pupil magnifications of the middle lens are taken to be 1 and -1 or -1 and 1, and the system magnification is 1 or -1 at the mean position of zooming. Several examples are given to demonstrate this analysis. (C) 1997 Society of Photo-Optical Instrumentation Engineers.
The sensitivity of the common focus error of a reference lens on the measurement accuracy in a Fizeau interferometer
(1997-01-01)
Yeh, MS
;
Shiue, SG
;
Lu, MH
;
光電工程學系
;
Department of Photonics
A technique used to examine the performance of reference lens of interferometer is described. The defects in the reference lens that are primarily due to the manufacturing errors or the assembly errors or both will result in the common focus error of reference lens at the centre of curvature of reference surface, which affects the measurement accuracy. The optical path difference between the reference wave front and the test wave front at the exit pupil is applied to analyse the influence of common focus error of reference lens on the measurement errors. A comparison of the experimental result with the numerical analysis is made.
The sensitivity of the common focus error of a reference lens on the measurement accuracy in a Fizeau interferometer
(1997-01-01)
Yeh, MS
;
Shiue, SG
;
Lu, MH
;
光電工程研究所
;
Institute of EO Enginerring
A technique used to examine the performance of reference lens of interferometer is described. The defects in the reference lens that are primarily due to the manufacturing errors or the assembly errors or both will result in the common focus error of reference lens at the centre of curvature of reference surface, which affects the measurement accuracy. The optical path difference between the reference wave front and the test wave front at the exit pupil is applied to analyse the influence of common focus error of reference lens on the measurement errors. A comparison of the experimental result with the numerical analysis is made.