文件列表:

matlab在光学中的应用\aberrations\aber3_data_opt_sys.m (3260, 2001-11-14)
matlab在光学中的应用\aberrations\aber3_data_opt_sys_inf.m (3456, 2001-11-14)
matlab在光学中的应用\basic\asphere_diff.m (991, 2001-06-02)
matlab在光学中的应用\basic\asphere_z.m (998, 2001-06-02)
matlab在光学中的应用\basic\asphere_z_off.m (987, 2002-09-24)
matlab在光学中的应用\basic\det_plane_min_rms.m (2477, 2003-01-21)
matlab在光学中的应用\basic\det_plane_min_rms_inf.m (2486, 2003-01-21)
matlab在光学中的应用\basic\find_obj_xy_for_im_xy.m (5766, 2001-11-19)
matlab在光学中的应用\basic\find_surf_for_d.m (1052, 2002-08-30)
matlab在光学中的应用\basic\gen_elip_mesh.m (1477, 2001-06-04)
matlab在光学中的应用\basic\gen_rect_pup.m (922, 2001-06-21)
matlab在光学中的应用\basic\map_2d.m (1709, 2001-10-08)
matlab在光学中的应用\basic\plane_min_rms.m (1725, 2003-01-12)
matlab在光学中的应用\basic\reduce_opt_sys.m (1668, 2001-06-10)
matlab在光学中的应用\basic\revert.m (958, 2001-06-10)
matlab在光学中的应用\basic\revert_opt_sys.m (2092, 2001-06-10)
matlab在光学中的应用\basic\tilt_decenter.m (1552, 2001-09-25)
matlab在光学中的应用\basic\tilt_decenter_2d.m (891, 2001-09-26)
matlab在光学中的应用\basic\tilt_decenter_inv.m (1471, 2001-09-25)
matlab在光学中的应用\Diffraction.pdf (58720, 2004-02-14)
matlab在光学中的应用\evaluation\spot_size.m (2733, 2003-01-21)
matlab在光学中的应用\evaluation\spot_size_color.m (2823, 2003-01-21)
matlab在光学中的应用\evaluation\spot_size_color_inf.m (3031, 2003-01-21)
matlab在光学中的应用\evaluation\spot_size_inf.m (2942, 2003-01-21)
matlab在光学中的应用\evaluation\spot_size_radau.m (3390, 2003-01-21)
matlab在光学中的应用\evaluation\spot_size_radau_color.m (2781, 2003-01-21)
matlab在光学中的应用\evaluation\spot_size_radau_color_inf.m (4472, 2001-06-04)
matlab在光学中的应用\evaluation\spot_size_radau_inf.m (5034, 2001-11-19)
matlab在光学中的应用\foptics\CMP_B.GIF (1583, 1997-02-17)
matlab在光学中的应用\foptics\CONTENTS.M (1880, 1997-02-17)
matlab在光学中的应用\foptics\EA12_B.GIF (2258, 1997-02-17)
matlab在光学中的应用\foptics\EAP3_B.GIF (2637, 1997-02-17)
matlab在光学中的应用\foptics\EOP_B.GIF (4552, 1997-02-17)
matlab在光学中的应用\foptics\FOAE.M (1830, 1997-02-17)
matlab在光学中的应用\foptics\FOAO.M (1121, 1997-02-17)
matlab在光学中的应用\foptics\FOCA.M (924, 1997-02-17)
matlab在光学中的应用\foptics\FOCAP.M (1517, 1997-02-17)
matlab在光学中的应用\foptics\FOCD.M (1267, 1997-02-17)
matlab在光学中的应用\foptics\FOCM.M (1407, 1997-02-17)
matlab在光学中的应用\foptics\FOCMI.M (571, 1997-02-17)
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Welcome to the Optical Ray-trace TOOLBOX (RT TB), version 1.0 beta, for MATLAB (Trademark of the MathWorks, Inc.) from the University of Applied Sciences Heilbronn, November 2002. Please direct any questions and comments to the Author: Prof. Dr.-Ing. Peter Ott Mechatronics Department University of Applied Sciences Heilbronn Max-Planck-Str. 39 D-74081 Heilbronn Germany ott@fh-heilbronn.de For further information please visit my web site: http://www.mm.fh-heilbronn.de/ott/ This Optical Ray-trace Toolbox (RT TB) is intended to aid teaching on geometrical optics, ray-tracing and lens design. The RT TB is free to use. It is aimed to give the 'look and feel' of professional software with all possibilities to alter and add graphical output, algorithms and code All functions of the RT TB are documented in the same way as MATLAB functions, i.e. in the header of the files. Call 'help FUNCTION_NAME' in the command window to show the documentation. All functions are listed at the end of this file (ReadMe.txt). In short, the capabilities of the RT TB are: - to easily add or modify code! - to input surfaces of the following kind: Sphere, Asphere, Cylinder, Mirror, Ideal Lens - to do full paraxial analysis, including basic data (efl, bfl, ...), marginal and principal rays, pupils, ... - to perform exact sequential ray-trace on the above mentioned surfaces - to plot the layout of an optical system together with a bunch of rays - to plot spot diagrams, tangential and sagittal plots, curvature, distortion, lateral color - to calculate and display the wavefront in the exit pupil and the point spread function (PSF) - to optimize an optical system by the aid of the MATLAB OPTIMIZATION TOOLBOX - to adapt for special use, e.g. to simulate the sensor signal of an astigmatic-optical sensor for distance measurement Not yet realized: - graphical user interface to input an optical system (work in progress...) - decentered and tilted surfaces (work in progress...) - third order aberration contribution of each surface - error handling - ... To explore the capabilities and the handling of the software, please take some time. Software is as least as complicated as the subject it covers... Instead of a user manual, instructive and documented examples are included. Perform the following steps: - You must have installed MATLAB version 5.3 or later (for use of the optimization capabilities, the MATLAB OPTIMZATION TOOLBOX must be installed) - Please extract all files from RTTB.ZIP, downloaded from http://www.mm.fh-heilbronn.de/ott/ - Add all paths of the RT TB files to your MATLAB path list - Run the following examples which are located in the home directory of the RT TB, one by one and in the below mentionded order. Have a carefull look on the code and on the functions called in these examples. - Play around with the examples... Examples to explore the RT TB: (just execute the name in capital letters in the command window) %TEST_PAR test paraxial functions and draw the system togehter with the principal and marginal ray %TEST_PLOT_LAYOUT plot the layout of a of simple spherical system with the object at finite distance %TEST_PLOT_LAYOUT_INF plot the layout of a of simple spherical system with object point at infinity %TEST_SPOT_DIAG generate a single spot diagramm of simple spherical system with object point at infinity %TEST_IDEAL plots the layout of an optical system consisting of ordinary spherical surfaces and an ideal lens %TEST_CYL_SPOT_DIAG generate a single spot diagram of a simple sphero-cylindrical system with object point at infinity %TEST_PLOT_DIAGRAMMS show spot and plot diagrams and the layout of a triplet for an object at finite distance %TEST_PLOT_DIAGRAMMS_INF show spot and plot diagrams and a layout of a triplet %TEST_PLOT_DIAGRAMMS_ASPH_INF show spot and plot diagrams and the layout of a triplet with an aspheric surface %TEST_PSF show the wavefront in the exit pupil and the point spread function of a triplet for an off-axis object point at infinity; % The data of the entrance pupil is calculated from the data of the stop. % The wavefront is calculated in the elliptical shape of the exit pupil for off-axis object points. %TEST_OPT_LANDSCAPE test the optimization of a landscape lens (a simple lens with small stop used in the field); % the initial system is shown together with the spot and plot diagrams and the system after optimization. % The optimization will take some time (~1 min on a Pentium)... % As variable parameters for optimization the two curvatures of the lens, the thickness of the lens, the location % of the detector plane and the location of the entrance pupil are used. % The optimization function used here is FMINCON from the MATLAB OPTIMIZATION TOOLBOX. % The merit function is the average rms-spot-size on-axis, zone and full field for three wavelengths. %TEST_OPT_LANDSCAPE_PLOT test the optimization of a landscape lens while plotting the actual status of the optimization; % the initial system is shown together with the spot and plot diagrams. % The opimization process is monitored in another window... % The result afer optimzation is also shown. % The optimization will take some time (~1 min on a Pentium)... % As variable parameters for optimization the two curvatures of the lens, the thickness of the lens, the location % of the detector plane and the location of the entrance pupil are used. % The optimization function used here is FMINCON from the MATLAB OPTIMIZATION TOOLBOX. % The merit function is the average rms-spot-size on-axis, zone and full field for three wavelengths. % A bunch of paramters for the merit function is used, see below. %TEST_QUAD_DIAG shows an astigmatic sensor with 4-element detector for distance measurement, e.g. in optical disk drives. % For details see http://www.mm.fh-heilbronn.de/ott/ and download the presentation given at the DGaO 2001 % The layout of the system is shown, containing an ideal lens, a mirror and a cylindrical surface % The sensor signal is caluculated for different object locations based on exact ray trace together with approximative first order layout. % The calculation of the sensor signal takes some time (~ 1 min on a PENTIUM)... % The accuracy of the sensor signal calculation can be increased if more rays are traced, of course. % The beamsplitter, which is necessary in real world, is ommitted here in the simulation. Your input is very welcome! Peter Ott Heilbronn, 5th of June 2001 Descirbtion of the structure OPT_SYS, which defines an optical system (some fields are not needed in all functions) % OPT_SYS.N_SURF (number of optical surfaces including the detector plane) % OPT_SYS.C (OPT_SYS.N_SURF-by-1 element vector of the curvatures of the surfaces including the detector plane) % OPT_SYS.D (OPT_SYS.N_SURF-by-1 element vector of the distances between the surfaces; % the first distance OPT_SYS.D(1) is the distance from a starting surface % to the first refracting surface, which is not relevant in this function % OPT_SYS.N (OPT_SYS.N_SURF-by-N_C element matrix of the refraction indices of the media, where N_C is the % number of wavelength) % OPT_SYS.H (OPT_SYS.N_SURF-by-1 element vector of the heights of the surfaces, i.e. semi-diameter) % OPT_SYS.H_EP (the radius of the entrance pupil) % OPT_SYS.D_EP (the distance of the entrance pupil from the starting surface % OPT_SYS.A (OPT_SYS.N_SURF-by-? element matrix specifing the typ of surface and additional surface parameters % OPT_SYS.A(i,1) = 0 specifies the i-th surface to be of spherical typ % OPT_SYS.A(i,1) = 1 specifies the i-th surface to be of aspherical typ % OPT_SYS.A(i,2) specifies in this case the conical constant % OPT_SYS.A(i,3:N_ASPH) specify in this case the higher order terms (x^2+y^2)^(2:N_ASPH-1) % OPT_SYS.A(i,1) = 2 specifies the i-th surface to be of sphero-cylindrical typ % OPT_SYS.A(i,2) specifies in this case the curvature in y-direction % OPT_SYS.C(i) specifies in this case the curvature in x-direction % OPT_SYS.A(i,1) = 3 specifies the i-th surface to be of mirror typ % a mirror must unfolded, i.e. two consecutive surfaces of typ mirror must be specified, i.e. % OPT_SYS.A(i+1,1) = 3 . % The curvature of the second mirror surface must have opposite sign in curvature, i.e. % OPT_SYS.C(i+1) = -OPT_SYS.C(i) . % The distance between the two mirror surfaces mus be zero, i.e. % OPT_SYS.D(i+1) = 0 . % The refraction index must be zero inbetween the two mirror typ surfaces, i.e. % OPT_SYS.N(i+1) = 0 . % The refraction index behind the second mirror typ surface must be the same as the one before the first mirror typ surface, i.e. % OPT_SYS.N(i+1) = OPT_SYS.N(i) . % OPT_SYS.A(i,1) = 4 specifies the i-th surface to be a ideal lens % OPT_SYS.A(i,2) specifies in this case the focal length of the ideal lens. % OPT_SYS.C(i) has in this case no meaning for ray-tracing; only for drawing purposes this % parameter is used. Summary of the documentation of all realized functions: (for detailed decomentation, type 'help FUNCTION_NAME' in the command window) paraxial: % BFL returns the back focal length for a given optical system % BFL_OPT_SYS returns the back focal length for a given optical system, also for non % spherical surfaces % EFL returns the effective focal length for a given optical system % EFL_OPT_SYS returns the effective focal length in x and y direction % for a given complex optical system (including non-spherical surfaces) % IMAGE_DISTANCE returns the paraxial image distance for a given optical system and a given object distance % IMAGE_DISTANCE_OPT_SYS returns the paraxial image distance for a given optical system % (also with non-spherical surfaces) and a given object distance % MAGNIFICATION returns the magnification for a given optical system and a given object distance % MAGNIFICATION_OPT_SYS returns the magnification for a given optical system % (also with non-spherical surfaces) and a given object distance % PAR_DATA returns the most important paraxial data for a given optical system % PAR_DATA_BASIC calculates basic paraxial data of a given optical system, % i.e. effective focal length (EFL), back focal length (BFL), front focal length (FFL) % PAR_DATA_INF returns the most important paraxial data for a given optical system and an object point at infinity % PAR_DATA_OPT_SYS returns the most important paraxial data for a given optical system % (also with non-spherical surfaces) % PAR_DATA_OPT_SYS_INF returns the most important paraxial data for a given optical system % (also with non-spherical surfaces) and an object point at infinity % PAR_TRACE returns the the paraxial ray trace data for a given input ray and a given optical system. % It is based on the matrix method (see the literature) % PAR_TRACE_OPT_SYS returns the the paraxial ray trace data for a given input ray and % for a given complex optical system (including non-spherical surfaces) % It is based on the matrix method (see the literature) % SOLVE_LAST_SURF returns the curvature of the last surface of a given optical system in order % to achieve a desired effective focal length ray_trace: % NORMAL_ASPH calculates the normal vector of a aspherical surface at given x,y coordinates % NORMAL_CYL calculates the normal vector of a sphero-cylindrical surface at given x,y coordinates % NORMAL_SPH calculates the normal vector of a spherical surface at given x,y coordinates % REFRACTION calculates the refracted ray for a given input ray, a given surface normal at the ray intersection % with the surface and for given refraction indices % SURF2SURF calculates for a given ray the inflection point at the next surface % SURF2SURF_ASPH calculates for a given ray the inflection point at the next aspherical surface to % within a specified accuracy and with a specified scaling % SURF2SURF_CYL calculates for a given ray the inflection point at the next sphero-cylindrical surface to % within a specified accuracy % TRACE_RAY traces a given input ray through a given optical system and returns an array % with the vertices of the ray trace. plot: % PLOT_DIAGRAMMS shows the spot diagramms, the tangential and the sagittal plots for on axis, zone and full field % together with the field curvature plots (astigmatism), the distortion plot and the lateral color plot for the % object plane at finite distance % PLOT_DIAGRAMMS_INF shows the spot diagrams, the tangential and the sagittal plots for on axis, zone and full field % together with the field curvature plots (astigmatism), the distortion plot and the lateral color plot for the % object plane at infinity % PLOT_LAYOUT plots the surfaces of a given optical system together with a couple of rays for an object at finite distance. % The number of rays and the number of object points can be specified % PLOT_LAYOUT_INF plots the surfaces of a given optical system together with a couple of rays for an object at infinity. % The number of rays and the number of object points can be specified % PLOT__SIMPLE_SURF plots the surfaces of a simple optical system % PLOT_SPOT_INF_SINGLE plots the spot diagram at the detector plane for a given optical system with a given % entrance pupil and a given principal ray cosine % PLOT_SPOT_SINGLE plots the spot diagram at the detector plane for a given optical system with a given % entrance pupil and a given object height (the object is located at a distance OPT_SYS.D(1) before % the first surface. % PLOT_SURF plots the surfaces of a given optical system spot_diagram: % DIAG_PLOT_AST calculates the tangential, sagittal and petzval curvature for an object at finite distance. % For a certain field height % two tangential and two saggital neghboring rays (parallel to each other on the object side, distance % C_AST*OPT_SYS.H_EP in y- and in x-direction) are traced and the z-planes z_tang, z_sagi, z_petz of % minimum rms spot size of the two rays (for tangential and sagittal curvature; for petzval all % four rays are taken) is calculated with the aid of the function PLANE_MIN_RMS. % DIAG_PLOT_AST_INF calculates the tangential, sagittal and petzval curvature for an object at infinity. % For a certain field angle % two tangential and two saggital neghboring rays (parallel to each other on the object side, distance % C_AST*OPT_SYS.H_EP in y- and in x-direction) are traced and the z-planes z_tang, z_sagi, z_petz of % minimum rms spot size of the two rays (for tangential and sagittal curvature; for petzval all % four rays are taken) is calculated with the aid of the function PLANE_MIN_RMS. % DIAG_PLOT_DIST calculates the distortion based on the weighted color spot heights for a % given optical system with a given entrance pupil and for an object at finite distance (dist=y_real/y_par-1). % y_real is the mean spot height over all colors, i.e. y_real=sum(w_c(i_c)*y_real(i_c)), % where y_real(i_c) is the mean spot height for wavelength with index i_c, based on the function SPOT_SIZE_RADAU % DIAG_PLOT_DIST_INF calculates the distortion based on the weighted color spot heights for a given optical system with a given % entrance pupil (dist=y_real/y_par-1). y_real is the mean spot height over all colors, i.e. y_real=sum(w_c(i_c)*y_real(i_c)), % where y_real(i_c) is the mean spot height for wavelength with index i_c, based on the function SPOT_SIZE_RADAU_INF % DIAG_PLOT_LC calculates the lateral color for an object at finite distance, % i.e. lc=y_real(red)-y_real(blue), where y_real(i_c) % is the mean spot height for color i_c. The index of the wavelengths (i_c_red, i_c_blue) have to be specified. % The spot height y_real(i_c) is calculated with aid of the function SPOT_SIZE_RADAU_INF % DIAG_PLOT_LC_INF calculates the lateral color, i.e. lc=y_real(red)-y_real(blue), where y_real(i_c) % is the mean spot height for color i_c. The index of the wavelengths (i_c_red, i_c_blue) have to be specified. % The spot height y_real(i_c) is calculated with aid of the function SPOT_SIZE_RADAU_INF % DIAG_PLOT_X calculates the x-plot at the detector plane for a given optical system with a given % entrance pupil and a given object height (object at finite distance) % DIAG_PLOT_X_INF calculates the x-plot at the detector plane for a given optical system with a given % entrance pupil and a given field angle % DIAG_PLOT_Y calculates the y-plot at the detector plane for a given optical system with a given % entrance pupil and a given object height (object at finite distance) % DIAG_PLOT_Y_INF calculates the y-plot at the detector plane for a given optical system with a given % entrance pupil and a given field angle % SPOT_DIAG calculates the spot diagram at the detector plane for a given optical system with a entrance pupil, % for a given object point at finite distance (specified by a height), for a given measure for the number % of rays on a square mesh % SPOT_DIAG_INF calculates the spot diagram at the detector plane for a given optical system with a entrance pupil, % for a given object point at infintiy (specified by a the ray direction), for a given measure for the number % of rays on a square mesh pupil: % FIND_AP_ELIP_INF the elliptical and decentered shape of the AP (exit pupil) at its paraxial location on the z-axis % for an object point at infinity (given by the field angle) when the stop is given % FIND_EP returns the paraxial location and the size of the EP when the stop is given % FIND_EP_ELIP_INF the elliptical and decentered shape of the EP at its paraxial location on the z-axis % for an object point at infinity (given by the field angle) when the stop is given % FIND_EP_OPT_SYS returns the paraxial location of an optical system % (also with non-spherical surfaces) and the size of the EP when the stop is given % OPD_AP_WAVE_INF calculates the OPD-wavefront for a given field angle and an object point at infinity % on a non-regluar grid for a given number of rays. First, the OPL is calculated for all rays, then % a reference sphere wavefront centerd on the real image point (rms-location) is subtracted % OPD_TO_MESH fits OPD-values on a non-regular grid in the exit pupil to a regular grid % by the use of the MATLAB function GRIDDATA with cubic spline interpolation % and transfers it to complex amplitude values, i.e. A=EXP(i*2*PI/LA*OPD). % This function is used before calculating the psf by FFT. The grid is bounded by an elliptical shape. evaluation: % SPOT_SIZE_COLOR calculates the rms spot size at the detector plane and its height weighted over a set of % spots of different wavelengths, for a given object point at finite distance based on % mere ray tracing! % SPOT_SIZE_COLOR_INF calculates the rms spot size at the detector plane and its height weighted over a set of % spots of different wavelengths, for a given object point at infintiy (specified by a the ray direction) based on % mere ray tracing! % SPOT_SIZE calculates the rms spot size at the detector plane and its mean location, % for a given object point at finite distance and at a specified wavelength % by mere ray tracing % SPOT_SIZE_INF calculates the rms spot size at the detector plane and its mean location, % for a given object point at infintiy (specified by a the ray direction) and at a specified wavelength % by mere ray tracing % SPOT_SIZE_RADAU_COLOR calculates the rms spot siz ... ...

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