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简介 "J+L]IC?AD 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。 8b]4uI< pIC'nO_ 模型 9|<Li[ {c_bNYoE 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。 <#?dPDMG.* bHRn}K+<}c Table 1. AZ眼睛模型的定义 ^0| :
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. iu8Q &Us0P Sxc)~y 光源 Bc }o3oc (BP p2^ 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。 WJONk_WAc <dP\vLH_ 81y<Uz 6 图1. 光源和提示信息使用 4PxP*j 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。 &}e>JgBe0 z*jaA;# 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。 o[_,r]%+D J?m/u6 图2. 字母F光源的设定方法光 &Hp*A^M o c]
C+l 图3. 字母F在视网膜上位置点列图 5?` 4qSUz 视网膜的散射 hO$Gx*e$ 5|~g2Zz{; 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。 "Tser*i ) /+%aSPQ K% FK 图4. 视网膜朗伯散射设定 QK6_dIvDz 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。 q&>fKS nKs /}E2Rr?{ X:Wd%CHP 图5. 视网膜重点采样规格设定 ZKEoU! 脚本 KO8{eT9d MF'Z?M 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: 7O*Sg2B 'J} ?'{. 图6. 用户对话框的创建与编辑 t27UlFX 图7. 用户对话框编辑器 9;6)b0=$ 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。 <bhGpLh-E 余下的脚本计算与屈光度有关的所有参数。 Q]TZyk 5`fUR/|[ 分析 ),`jMd1` dpq(=s`s 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 BZ.l[LMp D6@ c|O{Q 图7. 字母F在视网膜上颜色分析 sjLMM_' 脚本代码 +|dLR*s ]>[TF'pIAx Option Explicit 'Remove this to enable non-dimensioned variables to be used. b`+yNf 7c(j1:Ku- Dim entity As T_ENTITY FNraof @Oy Dim op As T_OPERATION 4Us,DS_/ Dim mat As T_MODELMATERIAL ~
i+XVo Dim A As Double ~;$QSO\2h Dim pupilDiam As Double ?Ybq]J\q Dim eID As Long h@O\j&# Dim parID As Long ?m~1b_@A{ Dim count As Integer F5:xrcyC Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double jRiMWolLv Dim tlens As Double, nlens As Double Cx~;oWZ Dim curv As Double, conic As Double s'N < Dim ok As Long REU&8J@k&? ;\A_-a_(# Sub Main OHAU@*[lM C;:=r:bth '用户输入对话框 0U%tjYk( Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 EMe1!) TextBox 220,21,40,21,.TextBox1 'default: 0 FXT^r3 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 DRRQ]eK0 OKButton 40,91,90,21 ,S
dj"C CancelButton 190,91,90,21 H0OO+MCe Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 #]1jvB TextBox 220,49,40,21,.TextBox2 'default: 4 %-fXa2 End Dialog M .6BFC Dim dlg As UserDialog y-H9fWi8Y& ?QFxds ok = Dialog (dlg) Zl9 j<!dpt If ok=0 Then 'cancel button was pressed qm/>\4eLt Print "Execution cancelled." e}{#VB< End AEj%8jh End If :+\sKEzL Bt")RG 'Assign accommodation and pupil diameter & use defaults if field left empty {ly <%Q7j If dlg.TextBox1 = "" Then M __S) A = 0 'Default accommodation CzreX3i Else whw+ A = CDbl(dlg.TextBox1) 7&P70DO End If y,rdyt 0OG
3#pE If dlg.TextBox2 = "" Then j|[$P4w}U pupilDiam = 4 'Default pupil diameter _(m455HZ Else $'>iNMtK{p pupilDiam = CDbl(dlg.TextBox2) yph@H!@ End If r<(UN@T} z"|jCdZGM Print " " C=Fu1Hpb Print "Accommodation = " & A & " Diopters" CIo`;jt K Print "Pupil Diameter = " & pupilDiam & " mm" !jB}}&Ii W.{+0xx ' Calculate new parameters with accommodation g*FHZM*N9 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness `2+TN W!" $g Rant = 12.0 - 0.4*A 'Radius of anterior lens #"r_ 3 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens D0bpD rIB./, Rpost = -5.224557 + 0.2*A 'Radius of posterior lens *B@#A4f" CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens d,i4WKp _&gO>G,uy tlens = 3.767 + 0.04*A 'Lens thickness @kDY c8 t9 .EWj eVq nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction a(fiW%eFb dzbbFvG 'Adjust parameters to account for accommodation c^H#[<6p gGCr~.5 '************************************************************************* b(U5n"cdA 'Aqueous thickness (Position of Lens) R(_WTs9x4 '************************************************************************* .#tA .%
eID = FindFullName( "Geometry.Arizona Eye.Lens" ) K~-V([tWg GetCustomElement eID, entity 9i_@3OVl >\'}&oi parID = FindFullName( "Geometry.Arizona Eye" ) 4Hyp]07 l_04b]; ' Delete any shift(s) in z m7A3i<6p count = 0 <x<qO=lq While GetOperationCount(eID)>count kda*rl~c GetOperation eID, count, op )~$ejS If op.Type="ShiftZ" Then rcLF:gd]E DeleteOperation eID,count i,RbIZnJ count=count-1 VFq\{@-
% End If BUi,+NdIk count=count+1 NODg_J~T Wend ,=@WE>ip }YC=q 'Set new shift in I
WT|dA > op.Type = "ShiftZ" k'F*uS
op.val1 = taq 4R01QSbd op.parent = parID Wo9=cYC) AddOperation eID, op `T%nGV l>\ Print "Set aqueous humor thickness = " & taq-0.55 iSX:H; fK(:vwh '************************************************************************* v?nGAn 'Radius and conic constant of anterior lens eUu<q/FUMj '************************************************************************* ^^uY)AL eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (?T{^Hg GetConic eID, entity, curv, conic Um-Xb'R*]V e&(Wn2)o SetConic eID, entity, 1/Rant, CCant $i3`cX)g Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant P?8$VAkj 06pY10<>X '************************************************************************* f@Ve,i 'Radius and conic constant of posterior lens Zl! '************************************************************************* U
CFw+ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ':\bn:; GetConic eID, entity, curv, conic ??hKsjNAm0 r_rdd}=b' SetConic eID, entity, 1/Rpost, CCpost 4/SltWU Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost N /2WUp .[:WMCc\ '************************************************************************* =b6G' O[ 'Lens thickness (Position of posterior lens surface) %6V=G5+W '************************************************************************* ,&O&h2= -@'RYY= parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Mac :E__G "yU<X\ni ' Delete any z-shift(s) >N~jlr | count = 0 "6%qi qt While GetOperationCount(eID)>count t08[3Q& GetOperation eID, count, op ^6CPC@B1 If op.Type="ShiftZ" Then :Xx7':5 DeleteOperation eID,count c~\^C_ count=count-1 kMa|V0 End If 9(a*0H count=count+1 ady
SwB Wend {@"
F/G+ $S/WAw,/ 'Set new z-shift 5!6iAS+I op.Type = "ShiftZ" dleLX%P op.val1 = tlens d(Yuz#Qcrh op.parent = parID sv\=/F@n AddOperation eID, op ~dsx|G?p Print "Set lens thickness = " & tlens 6UPGE",u #Oa`P '************************************************************************* _Mh..#)`[ 'Lens index of refraction r6:nYyF$)v '************************************************************************* Bq,Pk5b eID = FindMaterial( "Lens" ) TPZ^hL>ao GetModelMaterial eID, mat gp{Z]{io yzGBGC mat.Nd = nlens =NRiro SetModelMaterial eID, mat fL&e^Q Print "Set lens index of refraction = " & nlens RHt~:D3* $yFR{_] '************************************************************************* 0+rBGk 'Pupil diameter bU4\Yu
'************************************************************************* H Mfhe[A? eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _oU~S$hO /cD]m 'Adjust pupil diameter (trimming volume inner hole) 3-![%u _ [hVGCSB SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" &e4EZ V#DNcF~v]f ' Adjust pupil location to just in front of the lens R
<u\
- parID = FindFullName( "Geometry.Arizona Eye" ) t$uj( y> eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) lYrW"(2 count = 0 yMb.~A^$J While GetOperationCount(eID)>count ,fs>+]UY3 GetOperation eID, count, op Hg[AulNna If op.Type="ShiftZ" Then sQ82(N7l DeleteOperation eID,count dM5N1$1, count=count-1 }M(XHw End If YtT:\#D count=count+1 B o[aiT Wend P76QHBbl op.Type = "ShiftZ" %e=UYBj" op.val1 = taq-0.01 9q<?xO op.parent = parID _8?r!D#P;s AddOperation eID, op YYd!/@|N5 /}-LaiS Print "Set pupil diameter = " & pupilDiam u|&a!tOf2 @p7*JLO 'Update AZ Eye subassembly Description !~f!O"n)3r eID = FindFullName( "Geometry.Arizona Eye" ) g
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GetEntity eID, entity 4--[.j*W entity.Description = "Accommodation = " & A & "D" fh}j)*K8 SetEntity eID, entity OQsF$%* AkV8}>G?#A Update ^:m7Qd?Z[ Print "DONE!" N1z:9=(I 3C;nC?]K End Sub 'Y-Y
By : nOUF<DNQ 如果屈光度是4,光瞳直径是4,则会输出如下数据: E#+|.0*!s gA DF Accommodation = 4 Diopters 5!d'RBO Pupil Diameter = 4 mm C%kIxa) Set aqueous humor thickness = 2.81
1"} u51 Set anterior lens radius = 10.4 and conic constant = -2.375869 +S}/6dg Set posterior lens radius = -4.424557 and conic constant = -3.081019 *Q2}Qbu Set lens thickness = 3.927 NT [~AK9M Set lens index of refraction = 1.42672 i}e OWi Set pupil diameter = 4 g
E;o_~ DONE! THDyb9_g $r=tOD4; (文章来源:讯技光电)
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