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简介 t%=ylEPW 5[;^Em)C 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。
r_o2d 8 7&+Gv6E 模型 .Wb), AU
>d1S. 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。 O,DA{> *m QXF>xZ~ Table 1. AZ眼睛模型的定义 ebQYk$@ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. kiXa2Yn*(d 45_zO# 光源 j7i[z>:Y 3<Cd>o. 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 L1aN"KGMF {9)LHX7dN {E@@14]g 图1. 光源和提示信息使用 !.F`8OD`u 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 v1;`.PWD 8rw;Yo<k 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Q PGssQR6 s=28. 图2. 字母F光源的设定方法光 V&qXsyg ?X=9@ m 图3. 字母F在视网膜上位置点列图 u(d>R5}' 视网膜的散射 bluC P| _~6AUwM 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 /Bb\jvk-E /LJ?JwAvg5 >yT:eG 图4. 视网膜朗伯散射设定 *S;v406 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 )L^WD$"'Q Prr<:q [=XsI]B\ 图5. 视网膜重点采样规格设定 8;+t.{ 脚本 ZfMJU `<[Zs]Fe4 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: "IB)=Hc kigc+R 图6. 用户对话框的创建与编辑 6)Oe]{- 图7. 用户对话框编辑器 Vrz<DB^-e 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。 Ei}B9 &O 余下的脚本计算与屈光度有关的所有参数。 @8Co5`CVl `yc.A%5 分析 RU#Q<QI( |QXW$ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 nfl6`)oW C[&Lh_F\ 图7. 字母F在视网膜上颜色分析 pcL02W|J 脚本代码 JTdK\A>l .XS rLb? Option Explicit 'Remove this to enable non-dimensioned variables to be used. BYwG\2?~ 7CNEP2}:R Dim entity As T_ENTITY NjL,0Bp Dim op As T_OPERATION w_e Las% Dim mat As T_MODELMATERIAL |L0 s Dim A As Double ~D
5'O^ Dim pupilDiam As Double $zDW)%nAX Dim eID As Long u5%.T0
P Dim parID As Long Lv#DIQ8y Dim count As Integer DUY#RJf Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double K2)),_,@5+ Dim tlens As Double, nlens As Double G4ZeO:r Dim curv As Double, conic As Double l6a,:*_ Dim ok As Long {8b6A~/ B*,9{ g0m/ Sub Main %vyjn&13 c1e7h l '用户输入对话框 5AQ $xm4 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 e>"{nOY4 TextBox 220,21,40,21,.TextBox1 'default: 0 hm?-QVRPV Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 7?B]X% OKButton 40,91,90,21 R (4 :_ xc CancelButton 190,91,90,21 4B!]%Mw;c Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 [+>$'Du TextBox 220,49,40,21,.TextBox2 'default: 4 f+ J<sk End Dialog CEZ*a 0}= Dim dlg As UserDialog 6-<,1Q'D eH79,!=2 ok = Dialog (dlg) eDIjcZ Nqewtn9n If ok=0 Then 'cancel button was pressed 0Tg/R4dI Print "Execution cancelled." q4lL7@_ End 9A)(K, End If W<k) '| qDNqd 'Assign accommodation and pupil diameter & use defaults if field left empty swe6AQ- If dlg.TextBox1 = "" Then 980[]&( A = 0 'Default accommodation 1rT}mm/e; Else M
HlP)' A = CDbl(dlg.TextBox1) lbTz End If !dSY?1>U< vpTS>!i If dlg.TextBox2 = "" Then ]D%D:>9|/ pupilDiam = 4 'Default pupil diameter Y
KeOH Else bWG}>{fj pupilDiam = CDbl(dlg.TextBox2) 0t6s20*q End If $OmcEd 0.bmVN< Print " " cM.q^{d` Print "Accommodation = " & A & " Diopters" W!V06. Print "Pupil Diameter = " & pupilDiam & " mm" w,9$*=k
Cm(Hu ' Calculate new parameters with accommodation xlv:+ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness \d%&_rp Vad(PS0 Rant = 12.0 - 0.4*A 'Radius of anterior lens -9vAY+s. CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /Y%) Y v)4 kS Rpost = -5.224557 + 0.2*A 'Radius of posterior lens HO}aLp CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens q1`uS^3` +#,t tlens = 3.767 + 0.04*A 'Lens thickness ,k+jx53XV Oa
CkU nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction }a-ikFQ] I)O%D3wfMW 'Adjust parameters to account for accommodation IcI y z35n3q '************************************************************************* }DY^a'wJ- 'Aqueous thickness (Position of Lens) j+PW9>Uh '************************************************************************* 24>{T5E eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~iydp GetCustomElement eID, entity `p*7MZ9- ib*$3Fn~ parID = FindFullName( "Geometry.Arizona Eye" ) }0}J ,TeDJ\k ' Delete any shift(s) in z J rYpZ.Nh count = 0 ^7~=+0cF] While GetOperationCount(eID)>count JxNjyw GetOperation eID, count, op Xl@nv9m If op.Type="ShiftZ" Then kSoAnJ| DeleteOperation eID,count _OHz 6ag count=count-1 g}L2\i688 End If x.>z2. count=count+1 L)HuQVc g Wend _f{'&YhUU >{ne! 'Set new shift in t.485L% op.Type = "ShiftZ" Op\l op.val1 = taq 5-5qm[.; op.parent = parID FV! AddOperation eID, op ~$YFfv>
Print "Set aqueous humor thickness = " & taq-0.55 &.K=,+0_R/ *.n9D '************************************************************************* (:vY:-\ bO 'Radius and conic constant of anterior lens 6n45]? '************************************************************************* |P>>
^,iUn eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 1!0BE8s"@ GetConic eID, entity, curv, conic }m\ OfbM]:}<3 SetConic eID, entity, 1/Rant, CCant oRmN|d ~4 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant QJvA `+k&]z$m '************************************************************************* %l5Uy??Z 'Radius and conic constant of posterior lens ?N&"WL^| '************************************************************************* b?h"a<7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) P;mmK&& GetConic eID, entity, curv, conic p+#uPY1# u` R SetConic eID, entity, 1/Rpost, CCpost Z:u7`% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost s:i$ s") kplyZ '************************************************************************* `SFI\Y+WDT 'Lens thickness (Position of posterior lens surface) 9iUkvnphh '************************************************************************* "otP^X. k0{Mq<V*% parID = FindFullName( "Geometry.Arizona Eye.Lens" ) -8#Of)W 6*tI~ ' Delete any z-shift(s) U3ED3)
D count = 0 pc:~_6S While GetOperationCount(eID)>count C(xdiQJh GetOperation eID, count, op ^Me__Y If op.Type="ShiftZ" Then $*`fn{2 DeleteOperation eID,count li$(oA2 count=count-1 CP["N(fF End If coyy T count=count+1 =cX&H Wend s)8g4Yc* _u]Wr%D@ 'Set new z-shift {CYFM[V op.Type = "ShiftZ" u=p([
5] op.val1 = tlens sj0Hv d9 op.parent = parID {LrezE4 AddOperation eID, op u2@:[:Ao Print "Set lens thickness = " & tlens dl;^sn0s QE m6#y '************************************************************************* gdNEMT 'Lens index of refraction s{'r'`z. '************************************************************************* F3;UH%L1 eID = FindMaterial( "Lens" ) _~-VH&g0R GetModelMaterial eID, mat m7cp0+Peo g.iiT/b mat.Nd = nlens rcY[jF SetModelMaterial eID, mat "b|qyT* Sl Print "Set lens index of refraction = " & nlens qMmh2a& j2k,)MHu!x '************************************************************************* m';:): 'Pupil diameter Vj2]-]Cm '************************************************************************* @m<xpel eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) qI5_@[S* Jx.Jx~ 'Adjust pupil diameter (trimming volume inner hole) FI Io{ru F
MHpa SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }c:s+P+/ VNp[J'a>VZ ' Adjust pupil location to just in front of the lens nulVQOj| parID = FindFullName( "Geometry.Arizona Eye" ) ?WKFDL'_0j eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Gh>Rt=Qu% count = 0 wC}anq>> While GetOperationCount(eID)>count eYOwdTrq GetOperation eID, count, op ,KdDowc If op.Type="ShiftZ" Then 0h_ 9 DeleteOperation eID,count ?<%GYdus count=count-1 6`J*{%mP End If >h(n8wTP count=count+1 hV)D,oN3 Wend Uz} #. op.Type = "ShiftZ" b>er 'U op.val1 = taq-0.01 .-awl1 W op.parent = parID .!/DM-C AddOperation eID, op wzwEYZN(q =e$<[" Print "Set pupil diameter = " & pupilDiam zgI!S6q .hzzoLI2 'Update AZ Eye subassembly Description 6c$ so eID = FindFullName( "Geometry.Arizona Eye" ) SDwTGQ/0 GetEntity eID, entity hs!a'E entity.Description = "Accommodation = " & A & "D" anxgD?<+B SetEntity eID, entity >7V96jL$Y iVu Update - 0R5g3^*/ Print "DONE!" :k*'MU} PzMJ^H{ End Sub ~:'tp28? .!e):&(8 如果屈光度是4,光瞳直径是4,则会输出如下数据: 3LN+gXmU Tvqq# ;I Accommodation = 4 Diopters BiT
#bg Pupil Diameter = 4 mm ?x1sm"]p' Set aqueous humor thickness = 2.81 ;h<(vc3@f Set anterior lens radius = 10.4 and conic constant = -2.375869 (~q.YJ' Set posterior lens radius = -4.424557 and conic constant = -3.081019 LmWZ43Z"@ Set lens thickness = 3.927 qIS9.AL Set lens index of refraction = 1.42672 duFVh8 Set pupil diameter = 4 1LYz
X;H1 DONE! (0dy,GRN +pXYBwH
7Q ,h,OUo]LIY QQ:2987619807 3qujz)o
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