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简介 #]q<fhJhr$ ,H'O`oV!1E 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。 @{j'Pf' Z; r}Gm 模型 *ukE"Aj M#IGq 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。 pMHY2t 6,ylkf3 Table 1. AZ眼睛模型的定义 ICTl{|i ] 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. .ss/E !6'j
W! 光源 A=Q"IdK 1X.5cl?V 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。 bu1O<* iL\<G}
I 9(dbou 图1. 光源和提示信息使用 LBk1Qw}- 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。 wwF]+w%lOw .\7R/cP}{A 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。 ]/XNfb vClD)Ar 图2. 字母F光源的设定方法光 #6[FGM SuMK=^>% 图3. 字母F在视网膜上位置点列图 Z f4Xt
Yn 视网膜的散射 22a$//}E JM0'V0z 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ZXsm9 O~.A} n9B1NM5 \ 图4. 视网膜朗伯散射设定 Ratg!l|'- 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 #*:y2W%H CP)x; Nc()$Nl8 图5. 视网膜重点采样规格设定 iEux`CcJ. 脚本 we9R4*j 2_6x2Ia4 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: L5Rj;qhi i:0~% X 图6. 用户对话框的创建与编辑 s(q\!\FS 图7. 用户对话框编辑器 zHw[`"[ 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。 $&M"Ji 余下的脚本计算与屈光度有关的所有参数。 2~AGOx ;]3Tuq 分析 6 :K~w<mMJ 'KMyaEh.u 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ):E4qlB u* G|TF 图7. 字母F在视网膜上颜色分析 n qg=I 脚本代码 5 5>^H1M 'oBT*aL Option Explicit 'Remove this to enable non-dimensioned variables to be used. &ok2Xw 3de<H=H' Dim entity As T_ENTITY v?F~fRH Dim op As T_OPERATION }:P/eY Dim mat As T_MODELMATERIAL H.qp~-n Dim A As Double ZP61T*n Dim pupilDiam As Double NdZv* Dim eID As Long (0g@Z`r Dim parID As Long w+(bkqz] Dim count As Integer +FRXTku( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^P
>; % Dim tlens As Double, nlens As Double `ySLic` Dim curv As Double, conic As Double X!V@jo9? Dim ok As Long .e%PK[o m!L&_Z|j Sub Main T},Nqt< ~]a:9Ev* '用户输入对话框 ,d'x]&a Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 48nZ
H=(Eh TextBox 220,21,40,21,.TextBox1 'default: 0 P#-Ye<V~J( Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 6cQh8_/>{# OKButton 40,91,90,21 1nhC! jDD CancelButton 190,91,90,21 p@!{Sh Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 usnbGkq TextBox 220,49,40,21,.TextBox2 'default: 4 T|`nw_0 End Dialog }DjW Dim dlg As UserDialog @U08v_, fl*]ua ok = Dialog (dlg) ORHs1/L`j Xn^gxOPM If ok=0 Then 'cancel button was pressed ,r!_4|\ Print "Execution cancelled." #u`i4 End m?VA 1 End If & F\HR NPF"_[RoeV 'Assign accommodation and pupil diameter & use defaults if field left empty p3>p1tC If dlg.TextBox1 = "" Then s ki'I A = 0 'Default accommodation =S7Xj`/ Else H5j6$y|I|N A = CDbl(dlg.TextBox1) qKag'0e End If -}Vnr\f v#J2yg If dlg.TextBox2 = "" Then w}nc^6qH pupilDiam = 4 'Default pupil diameter ~{lSc/SP| Else IIcG+zwx pupilDiam = CDbl(dlg.TextBox2) <XG&f End If ZT;$aNy #InuN8sI Print " " g.$a]pZz Print "Accommodation = " & A & " Diopters" 6wK>SW)#&j Print "Pupil Diameter = " & pupilDiam & " mm" w ;+x g U7i WYdt$ ' Calculate new parameters with accommodation YQGVQ[P taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness =?hGa;/rb =wbgZr^2 Rant = 12.0 - 0.4*A 'Radius of anterior lens ;cKN5#7 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ^ z!g3 1$nlRQi Rpost = -5.224557 + 0.2*A 'Radius of posterior lens x{y}pH "H CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens =Ji+GJ<,9 s?r:McF` tlens = 3.767 + 0.04*A 'Lens thickness b?S,% eW%Cef nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction t&m8 V$Q mcbvB5U 'Adjust parameters to account for accommodation &/)2P#u tbMf_-g '************************************************************************* {yFCGCs 'Aqueous thickness (Position of Lens) x -CTMKX '************************************************************************* ;\1/4;m eID = FindFullName( "Geometry.Arizona Eye.Lens" ) R.nAD{>h* GetCustomElement eID, entity kF{'?R5w `b.KMOn parID = FindFullName( "Geometry.Arizona Eye" ) oN3DM; Ed">$S ' Delete any shift(s) in z W&MZ5t,k= count = 0 j~DTvWg<Jl While GetOperationCount(eID)>count Jc8^m0_ GetOperation eID, count, op Wgp}v93 If op.Type="ShiftZ" Then -;T!d DeleteOperation eID,count rf@Cz%xDD count=count-1 B8J_^kd End If &|6 A
8, count=count+1 oW[];r Wend ~1xfE C/ `4GEq2% 'Set new shift in zoh%^8?o op.Type = "ShiftZ" ')G,+d^ op.val1 = taq 5t('H`,2 op.parent = parID 4th*=ku AddOperation eID, op ,hO*W-a%1 Print "Set aqueous humor thickness = " & taq-0.55 ^~dBO%M^ Mk=M)d` '************************************************************************* (3. B\8s 'Radius and conic constant of anterior lens /sU~cn^D5 '************************************************************************* z?Hi
u6c- eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) >oD,wSYV~ GetConic eID, entity, curv, conic ([g[\c,H 8rV"? m`S SetConic eID, entity, 1/Rant, CCant ICvl;Q Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 3haR/YN ^$>Q6.x?*) '************************************************************************* e^ Aw%t 'Radius and conic constant of posterior lens A-6><X's6 '************************************************************************* ,_wpYTl*X eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6VUkZKc GetConic eID, entity, curv, conic @XJzM]*w& =\ek;d0Tqb SetConic eID, entity, 1/Rpost, CCpost Yo-$Z-ud Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ,`Yx(4!rR ;xXD2{q '************************************************************************* vz~`M9^ 'Lens thickness (Position of posterior lens surface) Z=KHsMnB '************************************************************************* FN+x<VXo( &eA!h parID = FindFullName( "Geometry.Arizona Eye.Lens" ) f)_k_ < Kb$6a'u7 ' Delete any z-shift(s) [@_IUvf^. count = 0 |XrGf2P9u While GetOperationCount(eID)>count )i^+=TZ q GetOperation eID, count, op {9c_T!c If op.Type="ShiftZ" Then r9
5hW DeleteOperation eID,count f,(@K% count=count-1 C
CDO8 End If 0F5QAR
O count=count+1 Efa3{
7>{ Wend C#l9MxZE NScUlR"nE 'Set new z-shift Z@ dS,M* op.Type = "ShiftZ" n/ CP2A op.val1 = tlens :OKU@l| op.parent = parID -s_=4U, AddOperation eID, op N5F+h94z] Print "Set lens thickness = " & tlens e~1$x`DH Hw\hTTK '************************************************************************* hfL8]d- 'Lens index of refraction ETQL,t9m '************************************************************************* b~td^ eID = FindMaterial( "Lens" ) Y$4dqn GetModelMaterial eID, mat D/`b~Yl .4%6_`E mat.Nd = nlens
Ir?ehA SetModelMaterial eID, mat +ab#2~,) Print "Set lens index of refraction = " & nlens m`!Vryf .t9*wz '************************************************************************* /4Sul*{hc 'Pupil diameter +'`I]K> '************************************************************************* 5M=
S7B3= eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) PBY;SG~ Y{`hRz` 'Adjust pupil diameter (trimming volume inner hole) # n\|Q\W ;/~%D( SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" @~j--L 'iikcf*)C ' Adjust pupil location to just in front of the lens A5 <T7~U parID = FindFullName( "Geometry.Arizona Eye" ) J PmZ%]wA eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) qG8-UOUDt count = 0 +V,Ld&r While GetOperationCount(eID)>count w<me(!-' GetOperation eID, count, op )%Lgo${[; If op.Type="ShiftZ" Then mKZ^FgG DeleteOperation eID,count W:y'a3~ count=count-1 ]D\p<4uepM End If I`KBj6n count=count+1 wrEYbb Wend |>Wi5h{6X op.Type = "ShiftZ" lFc4| _c g op.val1 = taq-0.01 an`
GY& op.parent = parID v>'mW AddOperation eID, op mF@DO$ W}.p, d Print "Set pupil diameter = " & pupilDiam G}0fk]%\: E|BiK 'Update AZ Eye subassembly Description n||!/u)* eID = FindFullName( "Geometry.Arizona Eye" ) J%ue{PL7 GetEntity eID, entity F^}n7h=qk entity.Description = "Accommodation = " & A & "D" fS- 31<? SetEntity eID, entity -^<`v{}Dn mqv!"rk'w Update QP[`*X Print "DONE!" :taRCh5 1`I#4f End Sub fH[:S9@ G[[NDK 如果屈光度是4,光瞳直径是4,则会输出如下数据: #Cz6c%yK 9KLhAYaq Accommodation = 4 Diopters +H8;*uZ|k, Pupil Diameter = 4 mm xrky5[XoD Set aqueous humor thickness = 2.81 gKay3}w Set anterior lens radius = 10.4 and conic constant = -2.375869 m8ydX6~max Set posterior lens radius = -4.424557 and conic constant = -3.081019 H=k`7YN Set lens thickness = 3.927 ?.&?4*u Set lens index of refraction = 1.42672 +gsk}>" Set pupil diameter = 4 n\D3EP<s DONE! z0m[25FQG 9,;+B8-A M"$TXXe QQ:2987619807 gHzjI[WI
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