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简介 iNcZ)m/ Hv#q:R8 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。 B~r}c4R{7 (k-YI{D3 模型 j{#Wn
!, gL$&@NY 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 5,+\`!g 5/ecaAB2 Table 1. AZ眼睛模型的定义 mXjgs8s
在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. @^nu#R @%tXFizh 光源 M%Ku5X6:/ WoL9V"] 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 + R$?2 [2$4| ;7 <v]9lw' 图1. 光源和提示信息使用 DrS~lTf=> 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ;##]G=% {sN"(H4$ 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。 TZ^LA
L'8_ _rQUE^9 图2. 字母F光源的设定方法光 p(3sgY1 6DS43AQs 图3. 字母F在视网膜上位置点列图 V:K;] h*! 视网膜的散射 y<r}"TAf- W|Ldu;# 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。 X\GM/A ;cP8 ?U [p;*r)f2} 图4. 视网膜朗伯散射设定 B5=3r1Ly 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。 .{dE}2^ " mj^+u- G^h_YjR`* 图5. 视网膜重点采样规格设定 \4~AI=aw,T 脚本 * UcjQ ^^LjI 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: nW;kcS*A p]LnE`v 图6. 用户对话框的创建与编辑 <,39_#H?F3 图7. 用户对话框编辑器 P@ypk^v 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。 ;i)KHj' 余下的脚本计算与屈光度有关的所有参数。 NXoK@Y XDmbm*~i 分析 u]vPy
ria to3?$-L 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 _'iDF X B I;Lg 图7. 字母F在视网膜上颜色分析 )q+4k m6 脚本代码 /5a;_
)5l u.R% Option Explicit 'Remove this to enable non-dimensioned variables to be used. ~
l )t|'6 xEoip?O?7F Dim entity As T_ENTITY A!HK~yk~Q Dim op As T_OPERATION G\rj?% Dim mat As T_MODELMATERIAL ofCVbn Dim A As Double ]6~k4 Dim pupilDiam As Double OhWC}s Dim eID As Long iz
x[ Dim parID As Long |^5 /(16 Dim count As Integer `ut)+T V Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double H`|0-`q Dim tlens As Double, nlens As Double c cr" ep Dim curv As Double, conic As Double g5}7y\ Dim ok As Long : ^(nj7D sco
uO$K Sub Main `!Ln|_,d Q_lu`F| '用户输入对话框 Q]i[.ME Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 U>3
>Ex
TextBox 220,21,40,21,.TextBox1 'default: 0 wixD\t59X Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 5Bj77?Z OKButton 40,91,90,21 Ru7L>(Njs CancelButton 190,91,90,21 Uz>Yn&{y6 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :uR>UDlPX TextBox 220,49,40,21,.TextBox2 'default: 4 Yk7"XP[Y End Dialog -Op@y2+c Dim dlg As UserDialog TNsg pJ?\ $MT}l
ok = Dialog (dlg) !$E~\uT aJQXJ,>Lv If ok=0 Then 'cancel button was pressed Q<'@V@H Print "Execution cancelled." "'aqb~j^ End KZ\dB;W<| End If S~&\o\"5 =tq7z =k 'Assign accommodation and pupil diameter & use defaults if field left empty "gg(tp45 If dlg.TextBox1 = "" Then N l|^o{# A = 0 'Default accommodation J[+Tj@n' Else E 8^sy*f A = CDbl(dlg.TextBox1) |0DP}
`~ End If z (#Xca }wG|%Y#+r If dlg.TextBox2 = "" Then VVN#
$ pupilDiam = 4 'Default pupil diameter Ei~]iZ} Else 0$?qoS pupilDiam = CDbl(dlg.TextBox2) `E%(pjG End If 3Pa3f >}- JchA=n Print " " 1l~.R#W G& Print "Accommodation = " & A & " Diopters" jqqaw Print "Pupil Diameter = " & pupilDiam & " mm" yHtGp%j W9+h0A- ' Calculate new parameters with accommodation 5
2fO)! taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness @|]iSD&T
# h+
TB] Rant = 12.0 - 0.4*A 'Radius of anterior lens gm}C\q9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens -MUQ\pZ B*BHF95! Rpost = -5.224557 + 0.2*A 'Radius of posterior lens LNbx3W
oC CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens `^`9{@~ b/G8Mr tlens = 3.767 + 0.04*A 'Lens thickness d)9PEtI ?^ eJ: nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction n<+~ zQ zo87^y5?G 'Adjust parameters to account for accommodation q>c+bo
6 p0?o<AA%O '************************************************************************* krwf8!bI 'Aqueous thickness (Position of Lens) {MA@A5 '************************************************************************* i"KL;t[1 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) pO5v*oONz+ GetCustomElement eID, entity e$x4Ux7*" tvK rc parID = FindFullName( "Geometry.Arizona Eye" ) 7kOE/>P? *di&%&f ' Delete any shift(s) in z KgL<}=S count = 0 %oMWcgsdJi While GetOperationCount(eID)>count +6wx58.B& GetOperation eID, count, op TIKEg10I If op.Type="ShiftZ" Then u;QH8LK DeleteOperation eID,count <)=3XEcb count=count-1 WNl&v] End If aKaR count=count+1 t.gq5Y.[ Wend G!-7ic_4 w
5!ndu 'Set new shift in m`[oT\ op.Type = "ShiftZ" `\nON op.val1 = taq ^7J~W'hI op.parent = parID k{zs578h2 AddOperation eID, op qAnA=/k` Print "Set aqueous humor thickness = " & taq-0.55 #IH<HL)t%e ~r{\WZ. '************************************************************************* |C&%S"*+D 'Radius and conic constant of anterior lens z%++\.g_ '************************************************************************* s0_-1VU eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^mS.HT=X GetConic eID, entity, curv, conic dxk;@Tz hw EZj`9 SetConic eID, entity, 1/Rant, CCant -ryDsq Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant myEGibhK &Bj,.dD/a '************************************************************************* ppPG+[ cz 'Radius and conic constant of posterior lens Xp<A@2wt? '************************************************************************* :|*Gnu eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 4Z<]4:o GetConic eID, entity, curv, conic p} t{8j> }wa}hIqx SetConic eID, entity, 1/Rpost, CCpost V:nMo2'hb Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost +,ZUTG
muK'h` '************************************************************************* 3ybK6!g`[ 'Lens thickness (Position of posterior lens surface) ]}UeuF\ '************************************************************************* >!:$@!6L qAS70XjOF parID = FindFullName( "Geometry.Arizona Eye.Lens" ) M63s(f sBeP;ox ' Delete any z-shift(s) chvrHvByS count = 0 8MYLXW6 While GetOperationCount(eID)>count ^&f{beU9 GetOperation eID, count, op P5yJO97 If op.Type="ShiftZ" Then f}Ne8]U/Hc DeleteOperation eID,count
?.4yg( count=count-1 Q#yu( End If &hSnB~hi count=count+1 {<''OwQF~+ Wend Uxj<x`<1x E|F!S(.:,M 'Set new z-shift j]@x Q,y op.Type = "ShiftZ" a2(D!_dZR op.val1 = tlens D:ql^{~ op.parent = parID glOqft&>` AddOperation eID, op 35]j;8N: Print "Set lens thickness = " & tlens IS5.i95m (`q6G d '************************************************************************* m11"i=S" 'Lens index of refraction xdFP$Y~ogy '************************************************************************* {UV<=R,E eID = FindMaterial( "Lens" ) m2-fi*Mgg GetModelMaterial eID, mat XudH Y:tW] mat.Nd = nlens mK7^:(<.LO SetModelMaterial eID, mat qb>|n1F_ Print "Set lens index of refraction = " & nlens ^cKv JSY Q5`+eQ?_\ '************************************************************************* &F<J#cfe8 'Pupil diameter 6\)8mK '************************************************************************* jFJW3az@z eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) BM=V,BZy )$9C` d[ 'Adjust pupil diameter (trimming volume inner hole) OTNZ!U/)j x 1%J1?Fp SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" oneSgJ 3H\b N4 ' Adjust pupil location to just in front of the lens Sug~FV?k$e parID = FindFullName( "Geometry.Arizona Eye" ) 8vX*SrM eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ^cPo{xf count = 0 u$Pf.# While GetOperationCount(eID)>count i SAidK, GetOperation eID, count, op l7D4`i<F If op.Type="ShiftZ" Then VAF:Z DeleteOperation eID,count Un8#f+odR count=count-1 NejsI un% End If V!kQuQJ> count=count+1 Us@ {w`T Wend *'`3]!A op.Type = "ShiftZ" y ? {PoNI op.val1 = taq-0.01 vBCZ/F[ op.parent = parID &ESR1$)'P AddOperation eID, op ,,C~j`F 0%&fUz36E6 Print "Set pupil diameter = " & pupilDiam %xbz&'W, 2'O!~8U 'Update AZ Eye subassembly Description
J7
*G/F eID = FindFullName( "Geometry.Arizona Eye" ) 1Hk<_no5 GetEntity eID, entity 3' :[i2[ entity.Description = "Accommodation = " & A & "D" :+gCO!9Y SetEntity eID, entity 0=(-8vwd ^RFmRn Update u{E^<fW] Print "DONE!" tUAY]BJ*s Ph!KL\ End Sub ru6H nLhL NkjQyMF 如果屈光度是4,光瞳直径是4,则会输出如下数据: |V~(mS747: d)17r\*>I Accommodation = 4 Diopters )*$ Pupil Diameter = 4 mm qS/71Kv' Set aqueous humor thickness = 2.81 ]5)&36 Set anterior lens radius = 10.4 and conic constant = -2.375869 Q'Jpsmwu Set posterior lens radius = -4.424557 and conic constant = -3.081019 9 (FcA5Y Set lens thickness = 3.927 7PQj7&m Set lens index of refraction = 1.42672 )l!&i?h% Set pupil diameter = 4 xUYN\Pc- DONE! U0|j^.)
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