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The notes explain core pointer rules for thin lenses, the parallel ray method, off-axis object points, virtual image formation, multi-lens image location via key rays, and extensions for positive and negative lenses and 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is the main idea behind graphical ray tracing for optical problems?","Question",{"text":63,"@type":64},"It uses a simple graphical trace combined with elementary math to approximate solutions for how light rays form images through lenses and mirrors.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What are the three fundamental rules in the parallel ray method for lenses?",{"text":68,"@type":64},"A ray through the center of a lens is not deviated; a ray parallel to the axis passes through the rear focal point after refraction; and a ray through the front focal point refracts parallel to the axis.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you determine a virtual image when tracing rays through a lens or mirror?",{"text":72,"@type":64},"If the rays diverge/spread after leaving the optical element, the image is virtual and is found by extending the rays backward in the opposite direction.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},656804,1793077664,{"code":4,"msg":82,"data":83},"success",[84,88,92,96,101,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & 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interesting and instructive.Thesimple graphical trace combined with a bit ofelementary math will give you the approximatefirst solution to any kind of optical problem in-volving an object and an image.You can putlight rays through multiple lenses almost aseasily as through a singie element.  \nTools needed are the common ones used inany kind of mechanical drawing or drafting,thatis,drawing bozrd and T-square.An adjustabletriangle is helpful,almost a must for the popularand useful oblique trace.Three or more colorsof pencils or ballpoint desk pens will make yourwork easy on the eyes and easy to understand.  \nDrawings should be made full-size wheneverpossible,and if beyondyour board,the aperturesshould be retained full-size,scaling down thelongitudinal dimensions only to suit.  \n# First Pointers\n\n回LENS IS ASSUMED TOHAVE NO THICKNESS-IT ISREPRESENTED BY ASINGLE LINESINCE THIN LENSES ARESELDOM OVER 4\"THICK,NO GREAT ERRORS RESULTFROM NEGLECTING THE KINDOF GLASS AND /TS THICKNESS  \nLENSES ARE THIN  \nLIGHT COMES FROM THE LEFT(WHENEVER PRACTICAL)  \nTHE FOCALLENGTH OF A LENS ISiS QETENTHE SAME IN EITHER DIRECTIONUSED TO MARKSECONDFOCAL ROINT  \nALL LENSES wORK PERFECTLY.ExAMPLE IS BASIC CASEWHERE ALL RAYS FROM A DISTANT POINT FOCUs AT ONE F.L.  \nTHIS most common method of graphical ray trac-ing requires an off-axis object point which isusually taken as the edge of the object.Apply-ing the three simple rules shown,you can tracelight rays from this point,through the lens,tothe corresponding point on the image.Only tworays are actually needed to locate the image,but the thirdis useful as a kind of check or proof.All this is simple geometry,so if at times youdon't get a perfect intersection of lines,don'tblame it on the \"system.\"  \nA SECOND LENS.After you locate the imagepoint,any number of additional light rays can bedrawn,Fig.5.UBing this idea,you can locatein the cone of light from the first lens,the keyrays for a second lens,as shown in Figs.6,7and 8.Of the three initial rays,only the lower-most leaving the first lens parallel is continuedthrough the second lens,Fig.6.The other twokey rays for the second lens must be found byback-tracking from theimage polnt in the mannershown.  \nOBJECT INSIDE FOCUS.Figs.10 and 11 showhow to handle this situation.You use the samethree rules as before,but now the light raysmust be extended backwards to locate the virtualimage,Anytime you get two or more light raysdiverging or spreading after they leave alens ormirror,you know the imageis vlrtual and can befound by extending the light rays in the oppositedirection.  \nPOSITIVE MIRROR.A positive(concave)mirrorforms an image in much the same way as apositive lens,except the undeviated ray passesthrough the center of curvature,which is rule 1in Fig.12.The other two rules are the same asfor a lens,except the light is reflected insteadof being refracted,  \nThe case of an object inside focus,Fig.13,  \n# Parallel Ray method\n\nRule1:A LIGHTRAY PASSING THROUGHTHE CENTER OF LENSIS NOT DEVIATEDRule 2:A LIGHTRAY PARALLEL WITHAXIS wILL,AFTER RE-FRACTION,PASS THRUTHE REAR FOCAL POINTRula 3:A LI6HT RAYTHROUGH THE FIRSTFOCAL POINT WILL BEREFRACTED PARALLELWITH THE AXISTHE INTERSECTIONOF ANY Two OF THETHREE L/GHT RAYSSHOWN WILL LOCATETHE POSITION OFTHE IMAGEExtra Light RaysAFTER LDCATING THEIMAGE,YoU CAN\"HOOK-UP\"ANY NUMBEROF EXTRA RAYS.LENS ARE LOCATED IN THIS MANNER  \nPARALLEL RAY METHOD FOR Two LENSES  \n⑩  \nBACKWARD  \n⑪  \nEXTENSION  \nOF THE RAYS  \nTO LOCATE  \nTHE IMAGE  \nWHICH IS  \nVIRTUAL  \n(conCAVE)IMAGE FORMATION BY A POSITIVE MIRROR  \nRule 1:A RAY THRUTHE CENTER OFCURVATURE IS NOTDEVIATED-TISREFLECTED BACK OVERTHE SAME A47H  \nRule 2:A RAYPARALLEL TO THEAXIS wILL BEREFLECTED THRUTHE FOCAL POINT  \nRule 3:A RAYPASSING THRU THEFOCAL POINT WILLBE REFLECTEDPARALLEL To AXiS  \nTHE INTERSECTIONOF ANY Two OFTHE THREE RAYSSHOWN WILL LOCATETHE POS/TION OF IMAGE  \nis also similar to the same construction for alens.Notice th","cbCaiqZgm6WaWGN9","https://ap.wps.com/l/cbCaiqZgm6WaWGN9","pdf",2221585,"English","# First Pointers\n## Parallel Ray method\n## Oblique Ray method","[{\"question\":\"What is the main idea behind graphical ray tracing for optical problems?\",\"answer\":\"It uses a simple graphical trace combined with elementary math to approximate solutions for how light rays form images through lenses and mirrors.\"},{\"question\":\"What are the three fundamental rules in the parallel ray method for lenses?\",\"answer\":\"A ray through the center of a lens is not deviated; a ray parallel to the axis passes through the rear focal point after refraction; and a ray through the front focal point refracts parallel to the axis.\"},{\"question\":\"How do you determine a virtual image when tracing rays through a lens or mirror?\",\"answer\":\"If the rays diverge/spread after leaving the optical element, the image is virtual and is found by extending the rays backward in the opposite direction.\"}]","Graphical Ray Tracing | PDF",1792971020,48]