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简介 +hMF\@ #r80FVwiD 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。
W o$UV 8"x\kSMb 模型 `>{S?t< N|s8PIcSp 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 d/Fy0=0 :N:e3$c Table 1. AZ眼睛模型的定义 O>arCr=H 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.
@XX7ydG5 kX'a*AG 光源 ?}U l( 2v1dSdX,W 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。 \1#!%I=. VI^~I;M^ N'0fB`:kz 图1. 光源和提示信息使用 HlX 2:\\ 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。 _zFJ]7Ym.) H?dEgubg7] 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。 qyYf&VC} vjXCArS 图2. 字母F光源的设定方法光 `k'Dm:*`u4 ${, !L l7) 图3. 字母F在视网膜上位置点列图 5?gZw;yiv% 视网膜的散射 +P"u1q*+p DBzF\- 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 3a6 bn"z&g *uZ'MS 图4. 视网膜朗伯散射设定 M9sB2Ips< 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ~Uaz;<"j0 F5f1j]c }zV#?;} 图5. 视网膜重点采样规格设定 Dlu]4n[LB 脚本 Q02:qn?T ]7_O#MY1 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: fm^)u" jQ\/R~)O 图6. 用户对话框的创建与编辑 >oc&hT 图7. 用户对话框编辑器 wi-{& 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 =J&aN1Hgt 余下的脚本计算与屈光度有关的所有参数。 vpqMKyy -` e`U%n 分析 rwepe 5 E 5bo60z 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 3+#
"4O z`+j]NX] 图7. 字母F在视网膜上颜色分析 |m>n4-5QL 脚本代码 h2Jdcr#@FF dq$CCOC^F Option Explicit 'Remove this to enable non-dimensioned variables to be used. r=pb7=M#LN <\5Y~!) Dim entity As T_ENTITY r$.v"Wh) Dim op As T_OPERATION Z8 _QKw> Dim mat As T_MODELMATERIAL yzmwNsu Dim A As Double Y=N; Bj Dim pupilDiam As Double H>2f M^ Dim eID As Long jF%[.n[BU Dim parID As Long (-rw]=Qu Dim count As Integer lEv<n6:_ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double `` mi9E Dim tlens As Double, nlens As Double ]&/KAk Dim curv As Double, conic As Double ym)`<[T Dim ok As Long .Qeml4(`3 9d!}]+"d42 Sub Main /!Kl d[.JEgU '用户输入对话框 tpi>$:e Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 kaj6C_k| TextBox 220,21,40,21,.TextBox1 'default: 0 ePJtdKN: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 g$ oe00b OKButton 40,91,90,21 4?^t=7N CancelButton 190,91,90,21 `L=$,7` Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 lhA<wV1-9G TextBox 220,49,40,21,.TextBox2 'default: 4 J]|lCwF End Dialog \aO.LwYm;: Dim dlg As UserDialog q#~]Hp=W5 |E)IJj
3 ok = Dialog (dlg) (^Kcyag4 /RmHG
H! If ok=0 Then 'cancel button was pressed h}_1cev? Print "Execution cancelled." h7S&tW GU End /U%Xs}A) End If rn?:utP 97um7n 'Assign accommodation and pupil diameter & use defaults if field left empty ^f,('0p-> If dlg.TextBox1 = "" Then Q`}n;DV A = 0 'Default accommodation q(yw,]h]{ Else K>`7f]?H*e A = CDbl(dlg.TextBox1) #?z1cgCg End If &n:F])`2 7^J-5lY3S If dlg.TextBox2 = "" Then Pl
}dA pupilDiam = 4 'Default pupil diameter Vhww-A Else ZK[S'(6q pupilDiam = CDbl(dlg.TextBox2) oIM] End If .#;;pu7W iM Xl}3 Print " " a]465FY Print "Accommodation = " & A & " Diopters" M#qZ0JT4 Print "Pupil Diameter = " & pupilDiam & " mm" 1&
k_&o <'4DMZ-G ' Calculate new parameters with accommodation kgz2/, taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ?~aM<rcZ 9 0[gXj Rant = 12.0 - 0.4*A 'Radius of anterior lens I$neE"wW CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens +*Cg2` )]%GNdU Rpost = -5.224557 + 0.2*A 'Radius of posterior lens yoj5XBM CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens AX%9k &:-`3J- tlens = 3.767 + 0.04*A 'Lens thickness d%9r"=/
[PrR30: nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction id.o)= *Df|D/,WE 'Adjust parameters to account for accommodation [j5^Zb&0 MWCP/~>a2 '************************************************************************* IjDG 'Aqueous thickness (Position of Lens) fwI Zr~l '************************************************************************* w>X33Ff]8@ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #TUsi,jG GetCustomElement eID, entity I/GZ N
L]:<FG parID = FindFullName( "Geometry.Arizona Eye" ) sf?D4UdIH dox QS ohS ' Delete any shift(s) in z .J~iRhVOF count = 0
CD^_>sya While GetOperationCount(eID)>count )4a&OlEI GetOperation eID, count, op 8*)zoT*A If op.Type="ShiftZ" Then )E^4\3^: DeleteOperation eID,count 11
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* count=count-1 /
GJ"##< End If ?/{
qRz'C< count=count+1 +6f5uMKUvs Wend /+J?Ep(_ /PIU@$DV 'Set new shift in jjz<V(Sk op.Type = "ShiftZ" gB<p op.val1 = taq B\}E v& op.parent = parID 9\Mesf1$o AddOperation eID, op m7e$Z Print "Set aqueous humor thickness = " & taq-0.55 gW6lMyiLb d?&?$qf[ '************************************************************************* sj`9O- ?49 'Radius and conic constant of anterior lens \x x<\8Qr_ '************************************************************************* c?eV8h1G eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) OR( )D~:n GetConic eID, entity, curv, conic $Kb-mFR i2$U##-ro] SetConic eID, entity, 1/Rant, CCant z0HCmj9T Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant H U$:x"AW S_6`.@B} '************************************************************************* pp#Kb 2* 'Radius and conic constant of posterior lens 9))%tYN '************************************************************************* Z[AJat@H eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ajq;\-: GetConic eID, entity, curv, conic Y.i<7pBt f8N SetConic eID, entity, 1/Rpost, CCpost rEdr8qw Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost QKZm<lUL "a`0s_F,^ '************************************************************************* B{/Pv0y 'Lens thickness (Position of posterior lens surface) 0wZLkU_( '************************************************************************* `U!eh1*b q&Q* gEFK parID = FindFullName( "Geometry.Arizona Eye.Lens" ) @OFl^U0/ < W/-[ M ' Delete any z-shift(s) YIfPE{, count = 0 @w6^*Z_hQ While GetOperationCount(eID)>count v2EM| Q xp GetOperation eID, count, op u;&`_=p If op.Type="ShiftZ" Then x7Ly, DeleteOperation eID,count =[t( [DG count=count-1 \#2,1W@ End If WqY:XE+?\ count=count+1 J%f5NSSU{6 Wend 1(hgSf1WH A~I}[O~(pb 'Set new z-shift >|@ /GpD op.Type = "ShiftZ" `z5j op.val1 = tlens (rZq0* op.parent = parID ?*,N
?s(U AddOperation eID, op ^bL.|vB Print "Set lens thickness = " & tlens )J~Qx-jG l%fnGe` _ '************************************************************************* wm*`
'Lens index of refraction _4zlEo-.gU '************************************************************************* *M+:GH/5 eID = FindMaterial( "Lens" ) Mk|h ><Q" GetModelMaterial eID, mat t
~U&a9&Z r]BB$^@@V mat.Nd = nlens $CL=M SetModelMaterial eID, mat #5G!lbH Print "Set lens index of refraction = " & nlens faD(,H s;8J= \9W '************************************************************************* )dC%g=dtc 'Pupil diameter b4ORDU '************************************************************************* U G^6I5 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6n%^
U2H/- aKH\8O4L5 'Adjust pupil diameter (trimming volume inner hole) >?U(w< oc\rQ? SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" /kx:BoV I7BfA,mZ7 ' Adjust pupil location to just in front of the lens 4d0PW#97. parID = FindFullName( "Geometry.Arizona Eye" ) G:u[Lk#6K eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) HewVwD<C count = 0 rm3~] While GetOperationCount(eID)>count f} }Bb8 GetOperation eID, count, op ]Z<{
~ If op.Type="ShiftZ" Then @] )a DeleteOperation eID,count rCYNdfdpp count=count-1 `9S<E End If .t"s>jq 1 count=count+1 us`hR!_ Wend 6sQ"go$} op.Type = "ShiftZ" ms;Lu-UR op.val1 = taq-0.01 b LL!iz? op.parent = parID d<7xSRC AddOperation eID, op 6G@_!i*2F 7zR7v Print "Set pupil diameter = " & pupilDiam 3gv>AgG |P5?0{ 'Update AZ Eye subassembly Description En5I eID = FindFullName( "Geometry.Arizona Eye" ) CzNSJVE5 GetEntity eID, entity _6=6 b!hD entity.Description = "Accommodation = " & A & "D" ]7dm`XV
SetEntity eID, entity /:yKa=$ Pb]s+1 Update $`l- cSH; Print "DONE!" "p2PZ)| C+y:<oo) End Sub 8{Zgvqbb c?<FMb3] 如果屈光度是4,光瞳直径是4,则会输出如下数据: >K50 h [(#ncR8B Accommodation = 4 Diopters dBobVT' Pupil Diameter = 4 mm |!57Z4X Set aqueous humor thickness = 2.81 !R)v2Mk| Set anterior lens radius = 10.4 and conic constant = -2.375869 ym(r;mj! Set posterior lens radius = -4.424557 and conic constant = -3.081019 s`H}NjWx Set lens thickness = 3.927 TmzEZ<} &7 Set lens index of refraction = 1.42672 =H!u4
Set pupil diameter = 4 I"T_< DONE! #<v3G)|aS uERc\TZ G9Xrwk<g4 QQ:2987619807 !Otyu6&
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