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简介 6<$.Z-, ydo9 P5E 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 q4&! mDU af %w|M 模型 ES AX}uF r)>3YM5 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 5RFro^S9E , ?U)mYhI Table 1. AZ眼睛模型的定义 \Ta5c31S+ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. U|V,&RlbR Tx!t3;Yz[ 光源 Mms|jFoQ _uLpU4# ? 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 jwa6`u #dL,d6a wbrOL(q.m 图1. 光源和提示信息使用 (
_6j@?u 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 \<*F#3U1 l<GN<[/.+ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 n]`]gLF\i [n)ak)_/ 图2. 字母F光源的设定方法光 |+W{c`KL {?0'(D7. 图3. 字母F在视网膜上位置点列图 R6od{#5H$ 视网膜的散射 "aF2:E' gac31,gH 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。 dGm%If9P 8wvHg_U6W qnboXGaFu 图4. 视网膜朗伯散射设定 41<h|WA 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。 T`":Q1n F:T(-, g:ky;-G8b 图5. 视网膜重点采样规格设定 j \jMN*dmV 脚本 1F,U^O c-(RjQ~M5 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: :_6o|9J\t Os'E7;:1h 图6. 用户对话框的创建与编辑 J<"K`|F 图7. 用户对话框编辑器 * @]wT' 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。 9 da=q 余下的脚本计算与屈光度有关的所有参数。 QUn!&55 LYECX 分析 pNOE
KiJ +;lDU}$ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 jH9PD8D\ b4cTn 6 图7. 字母F在视网膜上颜色分析 2PyuM=(Wt 脚本代码 +bLP+]7oZ H`)eT6:|/ Option Explicit 'Remove this to enable non-dimensioned variables to be used. "h_f-vP ftTD-d Dim entity As T_ENTITY eLPtdP5k Dim op As T_OPERATION ygnZ9ikh<- Dim mat As T_MODELMATERIAL ejZ-A?f-K Dim A As Double dY&v(~&;] Dim pupilDiam As Double ,.p
36ZLP Dim eID As Long 5X)QW5A Dim parID As Long l+F29_o# Dim count As Integer -%MXt Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double M?sax+' Dim tlens As Double, nlens As Double x)dLY.'| Dim curv As Double, conic As Double 8QJr!#u Dim ok As Long _lk VT'] .:}<4;Qz94 Sub Main &?bsBqpN
E/oLE^yL '用户输入对话框 #~-Xt!I Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *W\ 3cS TextBox 220,21,40,21,.TextBox1 'default: 0 ,4xNW:!j Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 i*N2@Z[ OKButton 40,91,90,21 'uL$j=vB CancelButton 190,91,90,21 @NA+Ma{N Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 |e@1@q(a[] TextBox 220,49,40,21,.TextBox2 'default: 4 ,dQ*0XO! End Dialog }C_g;7* Dim dlg As UserDialog a%m
)8N;C ^-PYP:* ok = Dialog (dlg) '6qH@r4Z< mvT/sC7I If ok=0 Then 'cancel button was pressed qzxWv5UH Print "Execution cancelled." J[6/dM End 4'#=_J End If p1niS:}j ?GNRab 'Assign accommodation and pupil diameter & use defaults if field left empty @JhkUGG]p If dlg.TextBox1 = "" Then YX,;z/Jw2 A = 0 'Default accommodation Z72%Bv Else qpe9?`vVX A = CDbl(dlg.TextBox1) Uz_ob9l<#H End If y|O3*`&m ;hq_}. If dlg.TextBox2 = "" Then A}9^,C$# pupilDiam = 4 'Default pupil diameter {ObY1Y`ea Else [rcM32 pupilDiam = CDbl(dlg.TextBox2) !O!:=wq End If s-Gd{=%/q Cj~e` VRhk Print " " 2( GYk Print "Accommodation = " & A & " Diopters" `Z>=5:+G@2 Print "Pupil Diameter = " & pupilDiam & " mm" 4uO88[= 9'H:pb2 ' Calculate new parameters with accommodation B^TgEr taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0AWxU?$A4 N~v<8vJq` Rant = 12.0 - 0.4*A 'Radius of anterior lens IxWi>8
CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens tE-bHu370 o<48' >[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ?H_@/? CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens /!Ag/SmS!9 SbUac< tlens = 3.767 + 0.04*A 'Lens thickness 09vVCM;DY q/*veL nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 6bj77CoB ehr\lcS< 'Adjust parameters to account for accommodation (kX:@9Pn [Y`E"1f2 '************************************************************************* cy6YajOk7 'Aqueous thickness (Position of Lens)
rwSR '************************************************************************* l=P)$O|=w eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3%9XJ]Qao GetCustomElement eID, entity F#9^RA)9 Es}`SIe/ parID = FindFullName( "Geometry.Arizona Eye" ) Xl<*Fn? J(]b1e ' Delete any shift(s) in z )Dhx6xM[a count = 0 Qo3Enwap= While GetOperationCount(eID)>count t
4M-;y GetOperation eID, count, op (g[WZB3x If op.Type="ShiftZ" Then <6.`(isph DeleteOperation eID,count n|H8O3@ count=count-1 /:
-&b#+ End If HI:1Voy count=count+1 //r)dN^ Wend \ 6taC (0y!{ (a 'Set new shift in 6j1C=O@S op.Type = "ShiftZ" -0`n(`2 op.val1 = taq \goiW;b op.parent = parID ]!"7k_ AddOperation eID, op "-:g.x*d Print "Set aqueous humor thickness = " & taq-0.55 QaE!?R #$U/*~m $ '************************************************************************* WyB^b-QmDh 'Radius and conic constant of anterior lens @6!Myez' '************************************************************************* <ir]bQT eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) op-\|<i GetConic eID, entity, curv, conic ql5&&e=- b O}&i3.L; SetConic eID, entity, 1/Rant, CCant hDg"?{ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 'bH~KK5 Y0Tw:1a '************************************************************************* _ A{F2M 'Radius and conic constant of posterior lens A^hafBa '************************************************************************* )iC@n8f7o eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) k=p[Mlic/ GetConic eID, entity, curv, conic b
~]v'|5[ D\J.6W SetConic eID, entity, 1/Rpost, CCpost D8*6h)~ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost u^'X>n)oL# h{\S '8 '************************************************************************* aS>cXJ;= 'Lens thickness (Position of posterior lens surface) >bmdu\j5R '************************************************************************* i;qij[W. z GKUjtPu parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4kV$JV.l Ue`Y>T7+! ' Delete any z-shift(s) kbH@h2Ww count = 0 N3KI6p6 \ While GetOperationCount(eID)>count G|t0no\f GetOperation eID, count, op ;5T}@4m|r If op.Type="ShiftZ" Then nu|,wE!i DeleteOperation eID,count .*+jD^Gr count=count-1 N<KsQsy= End If NTCFmdbs 6 count=count+1 `d/* sX?k Wend !"E/6z2&(k V+U89j1g 'Set new z-shift eQ[}ALIq op.Type = "ShiftZ" ;/ |tU
o$ op.val1 = tlens OYmutq op.parent = parID sUiO~<Ozpk AddOperation eID, op {7$jwk Print "Set lens thickness = " & tlens g{>0Pa1?C k7sD"xR3 '************************************************************************* ,5T1QWn^f 'Lens index of refraction .>}Z3jUrf '************************************************************************* y
GmFi eID = FindMaterial( "Lens" ) m'
|wlI[lq GetModelMaterial eID, mat `q | )_ fceO|mSz_ mat.Nd = nlens MlS5/9m@^ SetModelMaterial eID, mat N<Ym&$xR Print "Set lens index of refraction = " & nlens W|sU[dxZ 4Xwb`?}- '************************************************************************* "HH<5M 'Pupil diameter t-}IKrbv '************************************************************************* ?Ycl!0m eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) oxI?7dy5 i;Kax4k 'Adjust pupil diameter (trimming volume inner hole) (KPD`l8. GZuWAa SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" JIYzk]Tj |-cXb.M[ ' Adjust pupil location to just in front of the lens mxpw4 parID = FindFullName( "Geometry.Arizona Eye" ) 7@k3-?q eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) !4Sd ^" count = 0 H,7!"!?@N While GetOperationCount(eID)>count s bR*[2 GetOperation eID, count, op #3RElI If op.Type="ShiftZ" Then udc9KuR@ DeleteOperation eID,count )7#3n(_np count=count-1 '0o^T 7C End If cT&lkS count=count+1 }1CvbB%,A Wend 0xvSi9 op.Type = "ShiftZ" xwHE,ykE op.val1 = taq-0.01 @~5Fcfmm op.parent = parID $S2
/* AddOperation eID, op #i*PwgC%_ |942#rM Print "Set pupil diameter = " & pupilDiam -Edi"B4K /L|x3RHs 'Update AZ Eye subassembly Description -r~9'aEs eID = FindFullName( "Geometry.Arizona Eye" ) <F-IF7>a GetEntity eID, entity qwn EVjf entity.Description = "Accommodation = " & A & "D" [a~@6*= SetEntity eID, entity 4N3O<)C)@ m*i,|{UZ Update &t |