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简介 B:\Uw|Mf zA;@@)hwR 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。 V&|!RxWK atW' 模型 k3t78Qg 6y5A"- 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。 wM_
6{ tL+OCLF; Table 1. AZ眼睛模型的定义 B<~U3b 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. :Yj)CGl$ }rdIUlVO\ 光源 '/I:^9 3~qR 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。 olW|$? KA276# ,JEbd1Uf 图1. 光源和提示信息使用 jkF8\dR 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。 $j5,%\4< G8I Y# 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 (LtkA|: e62Dx#IY 图2. 字母F光源的设定方法光 O3.C:?;x G3G6IP 图3. 字母F在视网膜上位置点列图 |Cdvfk 视网膜的散射 s:AkkkF z1!6%W_. 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Sc]P<F7N] 8:.nEo' ./p|?pu
图4. 视网膜朗伯散射设定 rz(0:vxwA 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 XTDE53Js& xc?}TPpt FhIqy %X 图5. 视网膜重点采样规格设定 8)VgS&B~ 脚本 dP>w/$C} = zl=SLe 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: QI_59f> wVq\FY% 图6. 用户对话框的创建与编辑 111D3 图7. 用户对话框编辑器 !Do,>gO 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。 M3zDtN 余下的脚本计算与屈光度有关的所有参数。 PVao c
{I"R8 分析 8#` 6M5 * \HRw +cL 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 2>\\@1 -n*;W9 图7. 字母F在视网膜上颜色分析 Yn9j-` 脚本代码 (}:C+p
'I X;!D};;M Option Explicit 'Remove this to enable non-dimensioned variables to be used. &D#+6M&LK{ <SVmOmJ-K Dim entity As T_ENTITY x"(9II* Dim op As T_OPERATION K<v:-TjQZ: Dim mat As T_MODELMATERIAL e(1k0W4B Dim A As Double ?G?gy2 Dim pupilDiam As Double mo1
puU Dim eID As Long XtBMp=7Oa Dim parID As Long iS@\ =CK Dim count As Integer e@F|NCQ.9 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Y~n`~( Dim tlens As Double, nlens As Double sygH1|f Dim curv As Double, conic As Double S)%_we LW7 Dim ok As Long &B!%fd.' v6e%#= Sub Main s>z2 k LNQSb4 '用户输入对话框 )qPSD2h Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 p-GT`D TextBox 220,21,40,21,.TextBox1 'default: 0 jnoL2JR[=- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 !;>(ie\ OKButton 40,91,90,21 # nfI% CancelButton 190,91,90,21 MY-.t-3 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "uu)2Xe TextBox 220,49,40,21,.TextBox2 'default: 4 GoE#Mxh xo End Dialog |Vx~fK S\ Dim dlg As UserDialog 4Y
tk!oS` 6T^lS^ ok = Dialog (dlg) !v!N>f4S$ u9![6$R If ok=0 Then 'cancel button was pressed WfGH|u
Print "Execution cancelled." i#,1iVSG End um8AdiK End If h'^FrWaU/ {Iy7.c8S 'Assign accommodation and pupil diameter & use defaults if field left empty ~uPk If dlg.TextBox1 = "" Then Z|^MGyn A = 0 'Default accommodation Goj4`Hc Else i=QqB0 A = CDbl(dlg.TextBox1)
qtSs)n End If kqB\xlS7k J0Four#MD If dlg.TextBox2 = "" Then o_yRn16 pupilDiam = 4 'Default pupil diameter B5Va%?Wg?H Else R}J-nJlb pupilDiam = CDbl(dlg.TextBox2) QAvWJydb End If 7b.U!Ju n0.8)=;2 Print " " WbzA Jx 5 Print "Accommodation = " & A & " Diopters" ?;8M^a/ Print "Pupil Diameter = " & pupilDiam & " mm" `?SG XXC WzG07 2w ' Calculate new parameters with accommodation md6*c./Z taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness LrM}?9' 1hNEkpL^a Rant = 12.0 - 0.4*A 'Radius of anterior lens 5X;?I/9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens aBCOGtf 3#9M2O\T Rpost = -5.224557 + 0.2*A 'Radius of posterior lens H!JWc'(<$ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens #v qz{R~nM fI[dhd6 tlens = 3.767 + 0.04*A 'Lens thickness $i&\\QNn sM9-0A nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 4? {*( ,iOZ| 'Adjust parameters to account for accommodation a-Fqp4 pSrsp r '************************************************************************* UQdyv(jXq 'Aqueous thickness (Position of Lens) xL&PJ /' '************************************************************************* ~}%&p&
p eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ork|yj/A GetCustomElement eID, entity K|~AA"I; 0HPO"x3-O parID = FindFullName( "Geometry.Arizona Eye" ) #f9qlM32
/a%KS3>V* ' Delete any shift(s) in z I:/4t^% count = 0 2^bgC~2C1 While GetOperationCount(eID)>count F=5kF/}x-z GetOperation eID, count, op aZ/yCS7 If op.Type="ShiftZ" Then 8AX3C s_G DeleteOperation eID,count coO.kTO; count=count-1 </hR!Sb] End If ]84YvpfW count=count+1 Gavkil Wend agTK= a?\ `
'Set new shift in ~6fRS2u op.Type = "ShiftZ" @YrGyq op.val1 = taq 9>zDJx op.parent = parID |Qq+8IeYG AddOperation eID, op j5A\y^Kv Print "Set aqueous humor thickness = " & taq-0.55 Q5T(nEA DUPmq!A '************************************************************************* k^yy$^=< 'Radius and conic constant of anterior lens SJF 2k[da '************************************************************************* (77Dif0)' eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) TQ2i{e GetConic eID, entity, curv, conic %SFw~%@3&~ 6<Be#Y]b SetConic eID, entity, 1/Rant, CCant :!hk~#yvJ9 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant '&{(:,!B 9Iy[E,j '************************************************************************* ;9Hz{ej 'Radius and conic constant of posterior lens p?KCVvx$ '************************************************************************* *ig5Q(b*N eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) X[Y#+z4 GetConic eID, entity, curv, conic o+R. u}| &,Uc>L%m SetConic eID, entity, 1/Rpost, CCpost >d)|r Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost `oan,wq+ aeQ{_SK '************************************************************************* gFgcxe6 'Lens thickness (Position of posterior lens surface) ;S{ZC5 '************************************************************************* mURX I'JkX Dj/Q1KY$m parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )/i4YLO WoJ]@Me8 ' Delete any z-shift(s) $t%" Tr count = 0 ~ 6TfW~V While GetOperationCount(eID)>count ~V|KT}H GetOperation eID, count, op Y~<rQ If op.Type="ShiftZ" Then #NSaY+V DeleteOperation eID,count 8HB?=a2Q<' count=count-1 Y&~5k;>'_ End If &<m
WA]cAL count=count+1 Pm'.,?" Wend )vxVg*.Ee T`j 'Set new z-shift H74NU_ op.Type = "ShiftZ" 6k@[O@) op.val1 = tlens Es_SCWJ op.parent = parID _zAc 5rS AddOperation eID, op zX006{vig Print "Set lens thickness = " & tlens 3Ro7M=] REeD?u j '************************************************************************* t"4Rn<- 'Lens index of refraction <$Xn:B<H '************************************************************************* us(sZG eID = FindMaterial( "Lens" ) #IcT
@( GetModelMaterial eID, mat >0[qi1 ^2P;CAjj-
mat.Nd = nlens 9$}+-Z SetModelMaterial eID, mat >7eu' Print "Set lens index of refraction = " & nlens (2&K(1.Y JT}dor '************************************************************************* im_0ur&' 'Pupil diameter \["1N-q b '************************************************************************* Fvcq^uZ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) r5<e}t- ;L MEU_ 'Adjust pupil diameter (trimming volume inner hole) .l" _K +K @J*W 1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Vz+=ZK r5 t2`X!` ' Adjust pupil location to just in front of the lens P<g|y4h parID = FindFullName( "Geometry.Arizona Eye" ) R;N>#_9HU eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) j.e`ip count = 0 S<)RVm,!e While GetOperationCount(eID)>count A_8`YN"Xk GetOperation eID, count, op (W{ rv6cq If op.Type="ShiftZ" Then INeWi= 1 DeleteOperation eID,count @vDgpb@TM count=count-1 4B%5-VQ
End If
$Adp count=count+1 ahz@HX Wend ` Mv5!H5l op.Type = "ShiftZ" '3Y0D1`v op.val1 = taq-0.01 J/H#d')c op.parent = parID '8((;N|I^ AddOperation eID, op 3L\s8O 8#d99dOe Print "Set pupil diameter = " & pupilDiam #z1ch,*3; ({}O
M=_ 'Update AZ Eye subassembly Description 9X*eE eID = FindFullName( "Geometry.Arizona Eye" ) 8EVF<@{] GetEntity eID, entity 1f bFNxo8M entity.Description = "Accommodation = " & A & "D" .LhbhUEfn SetEntity eID, entity Dq_{O EIVQu~,H Update -;DE&~p Print "DONE!" Xk7$?8r4& :9O0?6:B| End Sub {?kKpMNNn WhVmycdv 如果屈光度是4,光瞳直径是4,则会输出如下数据: (J?}eb;>n 'KIi!pA. Accommodation = 4 Diopters xN":2qy#T Pupil Diameter = 4 mm Z-;uzx Set aqueous humor thickness = 2.81 M,v@G$pW Set anterior lens radius = 10.4 and conic constant = -2.375869 ;zxlwdfcr' Set posterior lens radius = -4.424557 and conic constant = -3.081019 J 6d n~nPK Set lens thickness = 3.927 iTtAj~dfZ Set lens index of refraction = 1.42672 XiZ Zo Set pupil diameter = 4 th>yi)m DONE! =.=.
\K MjF.>4 Cg%I)nz QQ:2987619807 h-v&I>
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