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简介 Put+<o
< 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 1YS{;
y[o l9SbuT$U 模型 M/#<=XhA U`:$1*(` 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 p~M^' k=d p'_*>%4~ Table 1. AZ眼睛模型的定义 o,X ? 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. /r]IY. ^Ji5)c 光源 v'DL >Y lJ}lO,g 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 & }}o9 @y}1%{,% WF:i}+g+^ 图1. 光源和提示信息使用 ,!Q2^R 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ^Dd$8$?[ oU{m\r 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 <S5Am%vo \f%jN1z 图2. 字母F光源的设定方法光 4Kx;F
9!%~ M3x%D)* 图3. 字母F在视网膜上位置点列图 4egq Y0A 视网膜的散射 Z.rKV}yjY - x7b6o>$ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Dmn6{jyP qL3*H\9N MT|}[|_ 图4. 视网膜朗伯散射设定 *R8q)Q 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 h*&-[nSo friNo^v& LUJKR6oT{> 图5. 视网膜重点采样规格设定 }cMb0`oA 脚本 _kgw+NA&-H qifX7AXHr 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: RXLD5$s^ 41,Mt 图6. 用户对话框的创建与编辑 P b2exS( 图7. 用户对话框编辑器 HPm12&8, 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 #(!> 余下的脚本计算与屈光度有关的所有参数。 1_*o(HR ,%yjEO 分析 3fM~R+p hcwKi
屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 h_Q9c (|"KsGl 图7. 字母F在视网膜上颜色分析 oJ>]=^?k 脚本代码 quVTqhg" WHMt$W}% Option Explicit 'Remove this to enable non-dimensioned variables to be used. KR%DpQ&{' 0Ocy$ Dim entity As T_ENTITY hH|3s-o Dim op As T_OPERATION GR Rv0M Dim mat As T_MODELMATERIAL -dZ7;n5&_ Dim A As Double ]xfu@'' Dim pupilDiam As Double @9-z8PyF Dim eID As Long gI<TfcC Dim parID As Long iLNKC' Dim count As Integer x{j|Tf3,G Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Kbrb;r59 Dim tlens As Double, nlens As Double 9v8{JaI3 Dim curv As Double, conic As Double p,Qr9p3y Dim ok As Long 8|OsVIe% oxha8CF]D Sub Main O4S~JE3o 5_x8!v '用户输入对话框 d.3-@^P Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 VkZrb2]v TextBox 220,21,40,21,.TextBox1 'default: 0 k$j>_U? P Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 YJ3aJ^m#E OKButton 40,91,90,21 @GK0j"_ CancelButton 190,91,90,21 pMe'fC~* Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "FwbhD0Gb TextBox 220,49,40,21,.TextBox2 'default: 4 R6r'[-B2 End Dialog pPu E-EDk Dim dlg As UserDialog yn)K1f^ (:4N#p ok = Dialog (dlg) /Q8E12 $0~H~- If ok=0 Then 'cancel button was pressed ~DPjTR Print "Execution cancelled." rzsb( End tXV9+AJ End If ?~Fk_#jz,@ q;3.pRw( 'Assign accommodation and pupil diameter & use defaults if field left empty p'M5]G If dlg.TextBox1 = "" Then 4p\<b8(9> A = 0 'Default accommodation MkEr|w' Else )
wtVFG A = CDbl(dlg.TextBox1) ]d=SkOq End If L}T:Y). 1JMEniB+9 If dlg.TextBox2 = "" Then
\09eH[ pupilDiam = 4 'Default pupil diameter Ne!F
p Else s<Px au+A pupilDiam = CDbl(dlg.TextBox2) B2w\ End If $T.we+u yV,ki^^ Print " " TPH`{ Print "Accommodation = " & A & " Diopters" ?mU
3foa Print "Pupil Diameter = " & pupilDiam & " mm" O$%M.C' fl #gWAM ' Calculate new parameters with accommodation e[.c^Hw taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness bi;?)7p&ZY SAMP,un7 Rant = 12.0 - 0.4*A 'Radius of anterior lens 'Alt+O_ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens #Mkwd5S|L Y_tLSOD#/ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 1D%3|_id^ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens |\;oFuCv## (L} tlens = 3.767 + 0.04*A 'Lens thickness PeT _Ty $<cio
X nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,#:* dl yV[9 ( 'Adjust parameters to account for accommodation 5#3/ G-
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weJ9 '************************************************************************* sLrSi 'Aqueous thickness (Position of Lens) F9@,T8I '************************************************************************* {\3k(NdEX eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {G$I|<MD2T GetCustomElement eID, entity y=7WnQc &~gqEl6RF parID = FindFullName( "Geometry.Arizona Eye" ) itClCEOA q_S`@2Dzz, ' Delete any shift(s) in z QFt7L count = 0 K;moV| j While GetOperationCount(eID)>count mCOJ1} GetOperation eID, count, op =%P'?(o| If op.Type="ShiftZ" Then ]k~Vh[[ DeleteOperation eID,count HEdOo~/~ count=count-1 E`s9SE End If x dDR/KS count=count+1 x}o]R Wend DY1?37h o (fZZ`6Y 'Set new shift in a Mp*Ap op.Type = "ShiftZ" 2r;^OWwr? op.val1 = taq %~%1Is`4J op.parent = parID 3S='/^l AddOperation eID, op B198_T! Print "Set aqueous humor thickness = " & taq-0.55 BkfWZ O{7 5c6CH k`: '************************************************************************* $T* ##kyE9 'Radius and conic constant of anterior lens 9Br2}!Ny '************************************************************************* dv3+x\`9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) $__e7 GetConic eID, entity, curv, conic ]}z;!D> K|*Cka{ SetConic eID, entity, 1/Rant, CCant Y#'mALC2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant cy)b/4h@ fq-$u;~h '************************************************************************* G#n99X@- 'Radius and conic constant of posterior lens N}{CL(xi '************************************************************************* [?TQ!l} 8A eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) OdX-.FFl GetConic eID, entity, curv, conic ,])@?TJb@ 'TclH80 SetConic eID, entity, 1/Rpost, CCpost bm1+|gssn Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 'G z>X : il^SGH '************************************************************************* ),`MAevp 'Lens thickness (Position of posterior lens surface) 3$f%{~3 '************************************************************************* .UNh\R?r ,Ie~zZE& parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4eb<SNi N{n}]Js1D- ' Delete any z-shift(s) a(CZGIB count = 0 E\!:MCL While GetOperationCount(eID)>count KLBV(`MS GetOperation eID, count, op /bA\O
If op.Type="ShiftZ" Then Sd'Meebu DeleteOperation eID,count lh`inAt)" count=count-1 kfb+OE:7 End If Gjuc"JR7 count=count+1 $hB;r Wend ;aYPv8s~,: 20 gPx; 'Set new z-shift 'R6D+Vk/ op.Type = "ShiftZ" =DTn9}u op.val1 = tlens #|*;~:fz op.parent = parID HN>eS Y+ AddOperation eID, op =0xuH>WY}w Print "Set lens thickness = " & tlens cqeId&Cg 2^Gl;3 '************************************************************************* n`f},.NM| 'Lens index of refraction ?!(/;RU1 '************************************************************************* G 8|[.n eID = FindMaterial( "Lens" ) Lc^nNUzPo GetModelMaterial eID, mat QQ@, v@j5 s<0yQ-=.?N mat.Nd = nlens jsTb0 SetModelMaterial eID, mat o*/\oVOq Print "Set lens index of refraction = " & nlens SqY;2: sw*k(i '************************************************************************* |
(P%< 'Pupil diameter sBp|Lo '************************************************************************* C|"T!1MlY4 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) XboOvdt^| GN{\ccej 'Adjust pupil diameter (trimming volume inner hole) i2b\`
805 Cq1t[a SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" T,(IdVlJ Kbx (^f12 ' Adjust pupil location to just in front of the lens Wf_aEW&n parID = FindFullName( "Geometry.Arizona Eye" ) dv4)fG]W;_ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) IC[SJVH; count = 0 P>euUVMPz4 While GetOperationCount(eID)>count do*`-SDy GetOperation eID, count, op aGp <%d If op.Type="ShiftZ" Then 8s8q`_.)( DeleteOperation eID,count 3f's>+,#% count=count-1 F~a5yW:R=) End If b7v] g]* count=count+1 05*_h0} Wend A4';((OXy op.Type = "ShiftZ" u!g=>zEu op.val1 = taq-0.01 8q7KqYu op.parent = parID cv:nlq) AddOperation eID, op }3:TPW5S eJ{"\c( Print "Set pupil diameter = " & pupilDiam SfJ/(q lGG1d 'Update AZ Eye subassembly Description H#U{i eID = FindFullName( "Geometry.Arizona Eye" ) "+nURdicO GetEntity eID, entity toTAWT D entity.Description = "Accommodation = " & A & "D" voQ, K9 SetEntity eID, entity *-+~H1tP !::k\}DS Update {KwLcSn Print "DONE!" nS?HH6H 3}g?d/^E3 End Sub ?0[%+AD hM b,T=0W 如果屈光度是4,光瞳直径是4,则会输出如下数据: >jl"Yr# N_pJE? Accommodation = 4 Diopters [%l+
C~m Pupil Diameter = 4 mm Qk-y0 Set aqueous humor thickness = 2.81 |&n dQ(!l Set anterior lens radius = 10.4 and conic constant = -2.375869 e@]cI/j Set posterior lens radius = -4.424557 and conic constant = -3.081019 vW$]:). Set lens thickness = 3.927 R~RY:[5?w Set lens index of refraction = 1.42672 Rz=]KeZu Set pupil diameter = 4 tY# F8a& DONE! m$LZ3=v%8 D4#,9?us (文章来源:讯技光电)
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