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简介 m.pB]yq& 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。 ('xIFi J:Ea|tXK^ 模型 >8D!K0?E R2vT\ 6xv 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。 BaZ$p O^ M(KsLu1
Table 1. AZ眼睛模型的定义 #( F/P!qk 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. @X+m,u
]W~\%`#8? 光源 0_q8t!<xJw uf]SPG#/D 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 p:Ry F4{b2
&a5UQ> W@`2+} 图1. 光源和提示信息使用 Y<-h#_ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 a$r-
U_? 83K)j"!<X 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。 `ltc)$ Z8E-(@`q5Q 图2. 字母F光源的设定方法光 WvR-0>E yiO!ZT 图3. 字母F在视网膜上位置点列图 SK
[1h3d 视网膜的散射 G
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v _ fqrQ1{%UH 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。 @&?E3?5ll 5xC4lT/U <}t~^E, 图4. 视网膜朗伯散射设定 FlGU1%]m 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。 6D|[3rXr 0`c|ZzY J{;XNf = 图5. 视网膜重点采样规格设定 .7&V@A7 脚本 uP, iGA
E@ J/_l; 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: Rd'P\ "@^Pb$BLY 图6. 用户对话框的创建与编辑 ]8q#@%v} 图7. 用户对话框编辑器 @W}cM 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 -!;2?6R9{ 余下的脚本计算与屈光度有关的所有参数。 WoM;) Q B-^r0/y; 分析 _D~l2M 9<n2-l|) 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 @<kY,ox@~ oCfO:7 图7. 字母F在视网膜上颜色分析 YBh|\ 脚本代码 "uCO?hv0 '
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_TFTO Option Explicit 'Remove this to enable non-dimensioned variables to be used. GWFF.Mo^ ` _aX>fw Dim entity As T_ENTITY Drm#z05i[g Dim op As T_OPERATION /2^"c+/'p Dim mat As T_MODELMATERIAL !LI6_Oq Dim A As Double JLd-{}A""- Dim pupilDiam As Double "5<:Dj/W Dim eID As Long @$}Ct Dim parID As Long m)AF9#aT2 Dim count As Integer n*A?>NV Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 0JFS%Yjw[ Dim tlens As Double, nlens As Double riR(CJ}Ff Dim curv As Double, conic As Double +YZ*>ki Dim ok As Long E{;F4wT_@ [|".j#ZlK Sub Main Fn>KdoByN }1fi# '用户输入对话框 nTsKJX%\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 '9{`Czc(Gb TextBox 220,21,40,21,.TextBox1 'default: 0 +3uPHpMB- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 R
[ZY;g:p OKButton 40,91,90,21 m)7Ql!l CancelButton 190,91,90,21 Az7
]qb Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 cwuzi;f TextBox 220,49,40,21,.TextBox2 'default: 4 6am
g*=] End Dialog ZnKjU ]m Dim dlg As UserDialog U$yy7}g 8Y4mTW ok = Dialog (dlg) R
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~b@ M"Dv-#f If ok=0 Then 'cancel button was pressed LBxmozT Print "Execution cancelled." ?(Se$iTZ End Ii9[[I End If \sMe2OL#z H )51J:4 'Assign accommodation and pupil diameter & use defaults if field left empty 44NMof8N If dlg.TextBox1 = "" Then HQvJ*U4++ A = 0 'Default accommodation GO?hB4 9T Else xi51,y+(5 A = CDbl(dlg.TextBox1) 3
,zW6 -} End If 0iYo&q'n lZAXDxhnT If dlg.TextBox2 = "" Then NSa6\.W) pupilDiam = 4 'Default pupil diameter 5?MaKNm } Else ]_BH"ng} pupilDiam = CDbl(dlg.TextBox2) ZDG~tCh=@ End If yky%+@2q e2e!"kEF Print " " G9^xv Print "Accommodation = " & A & " Diopters" IRGcE&m Print "Pupil Diameter = " & pupilDiam & " mm" :8K}e]!c1 y8_$YA/g ' Calculate new parameters with accommodation t"zi'9$t taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {dXTj 7 AsD$M*It Rant = 12.0 - 0.4*A 'Radius of anterior lens 5(gWK{R)* CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens M8Vc5 lEgjv, Rpost = -5.224557 + 0.2*A 'Radius of posterior lens k".kbwcaF CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens <UF0Xc&X' (3Q$)0t tlens = 3.767 + 0.04*A 'Lens thickness nY7gST QChncIqc nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Esu{c9, ta6>St7. 'Adjust parameters to account for accommodation jST4O"DjM eTFep^[ '************************************************************************* /ej[oR 'Aqueous thickness (Position of Lens) j+fib} 8} '************************************************************************* W]oa7VAq eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^2H; GetCustomElement eID, entity |h}4J ZNne 8 parID = FindFullName( "Geometry.Arizona Eye" ) n$`+03 a 8v z h5,U ' Delete any shift(s) in z `m#-J;la count = 0 %ufh While GetOperationCount(eID)>count !zvjgDlZv GetOperation eID, count, op 8\"Gs z If op.Type="ShiftZ" Then Fgi`g{N DeleteOperation eID,count ,jEc4ih4 count=count-1 L2+cVR End If =\_gT=tZ count=count+1 Q-<Qm ? Wend <}:` Y" "w$,`M?2 'Set new shift in e
pp04~ op.Type = "ShiftZ" ~+j2a3rv-{ op.val1 = taq zz[fkH3 op.parent = parID >s 6ye AddOperation eID, op &e6UEG Print "Set aqueous humor thickness = " & taq-0.55 UOsK(mB ,#FP]$FK '************************************************************************* [zBi*%5O 'Radius and conic constant of anterior lens 5@%.wb4 '************************************************************************* $'I&u eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 9@ YKx0 GetConic eID, entity, curv, conic ff5 gE' ^~I@]5Pq SetConic eID, entity, 1/Rant, CCant 8 eK 8-R$ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 5L:-Xr{ CvmIDRP* '************************************************************************* Gc"hU:m 'Radius and conic constant of posterior lens
WB?HY?[r '************************************************************************* %0} ^M1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) }04mJY[ GetConic eID, entity, curv, conic w6Nnx5Ay R2n
2mQ < SetConic eID, entity, 1/Rpost, CCpost qxb]UV,R Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost G~o!u8^; 2?GMKd) '************************************************************************* # H
w(w 'Lens thickness (Position of posterior lens surface) C6[W/,eS '************************************************************************* )PTvw> 7dcR@v`c parID = FindFullName( "Geometry.Arizona Eye.Lens" ) #kASy 2t 6IG?t ' Delete any z-shift(s) 6_4B! count = 0 Fu_I0z While GetOperationCount(eID)>count ,#UZp\zZ* GetOperation eID, count, op RzjUrt If op.Type="ShiftZ" Then ?T2>juf]5~ DeleteOperation eID,count E#!!tH`lgg count=count-1 5\MC5us3 End If UPU$SZAIx count=count+1 z,G_&5|f% Wend kFwFPK%B ey=KA t 'Set new z-shift H:]cBk^[, op.Type = "ShiftZ" P2a5<#_| op.val1 = tlens [K.1 X=O} op.parent = parID >4jE[$p]" AddOperation eID, op Bj1%}B Print "Set lens thickness = " & tlens LXK!4(xa W /j$=?Rp '************************************************************************* WA8<:#{e 'Lens index of refraction /7 Tm2Vj8 '************************************************************************* IgG[Pr'D eID = FindMaterial( "Lens" ) v^b4WS+.: GetModelMaterial eID, mat :R,M Y"( iCF},W+ mat.Nd = nlens 7Hr_ZwO/^ SetModelMaterial eID, mat u1$6:"2@5k Print "Set lens index of refraction = " & nlens QM F GYx0U8MJ[e '************************************************************************* +T$Olz 'Pupil diameter _ \6v@ '************************************************************************* n?.; *: eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) );h(D!D, @|SeabN^- 'Adjust pupil diameter (trimming volume inner hole) l,7&
z b<00 %Z SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5,1<A@H FAEF ' Adjust pupil location to just in front of the lens f\<r1 parID = FindFullName( "Geometry.Arizona Eye" ) (QiA5!wg eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) e~SK*vR%] count = 0 !k)6r6 While GetOperationCount(eID)>count +:.Jl:fx4 GetOperation eID, count, op aDKb78 1d If op.Type="ShiftZ" Then 8|i'~BFHs DeleteOperation eID,count $V(]z`b& count=count-1 I_ mus<sE End If JcR|{9ghT count=count+1 jW\:+Taq Wend ~\_VWXXvIW op.Type = "ShiftZ" ;o!p9MEpz; op.val1 = taq-0.01 1.cP3kl op.parent = parID 'RMUjJ-! AddOperation eID, op 'q-q4QCB -I|xW Print "Set pupil diameter = " & pupilDiam N&NBn( *8Z2zmZtR^ 'Update AZ Eye subassembly Description [CI&4) # eID = FindFullName( "Geometry.Arizona Eye" )
@'R)$:I%L GetEntity eID, entity .>B'oD entity.Description = "Accommodation = " & A & "D" h=7q;-@7 SetEntity eID, entity 'Rn-SD~gIr <?nI O Update VI2lwE3 Print "DONE!" / I`TN5~ $N=&D_Q End Sub E5&Z={ DXiA4ihr= 如果屈光度是4,光瞳直径是4,则会输出如下数据: 6{y7e L3! Cs6`lX > Accommodation = 4 Diopters %#x4wi Pupil Diameter = 4 mm gJ6`Kl985O Set aqueous humor thickness = 2.81 pLB2! + Set anterior lens radius = 10.4 and conic constant = -2.375869 h<G4tjtk Set posterior lens radius = -4.424557 and conic constant = -3.081019 q-JTGCFl Set lens thickness = 3.927 n%&L&G Set lens index of refraction = 1.42672 _!03;zrO Set pupil diameter = 4 Sa= tiOv DONE! +~^S'6yB : ,l7e (文章来源:讯技光电)
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