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简介 &6Wim<* 9mv6 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。 )A;jBfr FP6JfI8 模型 IgF#f%|Q )/v`k>E 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。 a'G[!" H,fVF837 Table 1. AZ眼睛模型的定义 K!88 Nox( 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. toox`| su=]gE@ 光源 t1l4mdp #
WL5p. 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。 1 rmN) NjA\*M9 =?B[oq 图1. 光源和提示信息使用 ~;uW)
[ 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。 \?k"AtL KU0;}GSNX} 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。 wB*}XJah j62oA$z 图2. 字母F光源的设定方法光 0[OlJMVf 6<Zk%[7t 图3. 字母F在视网膜上位置点列图 wMiRN2\^ 视网膜的散射 e]d\S]5 u z>V 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。 6FI`0j=~ ]n|lHZR zU>bT20x/ 图4. 视网膜朗伯散射设定 ~\+mo 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。 NEMC <dhBO $-]PD`wmY 图5. 视网膜重点采样规格设定 I#t#%!InH 脚本 htqC~B{1E )RwO2H 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: x@"`KiEUs ML_[Z_Q<z 图6. 用户对话框的创建与编辑 yCye3z. 图7. 用户对话框编辑器
Zv1/J}+ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 a`QKNrA2 余下的脚本计算与屈光度有关的所有参数。 \M-$|04Qt ,Z]4`9c 分析 Q-S5(" ehYGw2 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 h`p9H2}0 xHdv?69, 图7. 字母F在视网膜上颜色分析 qgLj^{ 脚本代码 p[gq^5WuC N]@e7P'9F Option Explicit 'Remove this to enable non-dimensioned variables to be used. V\><6v ~bk+JK- > Dim entity As T_ENTITY !F*CE cB Dim op As T_OPERATION 8:(e~?
f6 Dim mat As T_MODELMATERIAL <D M:YWNa Dim A As Double wrt^0n'r)c Dim pupilDiam As Double 79(Px2H2 Dim eID As Long _:,U$W Dim parID As Long _LSf
) Dim count As Integer -7l)mk Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double cn!Y7LVr Dim tlens As Double, nlens As Double L%O(
I Dim curv As Double, conic As Double p^QB^HEV Dim ok As Long )OcG$H NK o5 eFLJ6 Sub Main v/lQ5R1 (|<.7K N '用户输入对话框 u~a@:D/F{G Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 UK xeN[fv TextBox 220,21,40,21,.TextBox1 'default: 0 JdeGQ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 s\dF7/b OKButton 40,91,90,21 c 7uryL CancelButton 190,91,90,21 DN;An0
{MK Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Enj],I TextBox 220,49,40,21,.TextBox2 'default: 4 /?P="j#u End Dialog &-0eWwMW Dim dlg As UserDialog HNtl>H S7
Tem:/ ok = Dialog (dlg) D#,P-0+% w_!]_6%{b If ok=0 Then 'cancel button was pressed v(tr:[V Print "Execution cancelled." Pa!r*(M)C End 6+[7UH~pm^ End If q9&d24| KzC`*U[
'Assign accommodation and pupil diameter & use defaults if field left empty mT2Fn8yC1 If dlg.TextBox1 = "" Then UF00K1dbz A = 0 'Default accommodation _:tisr{ Else z2lEHa?w A = CDbl(dlg.TextBox1) UE9r1g`z End If C}{$'#DV2
BK1Aq3*) If dlg.TextBox2 = "" Then Wg+fT{[f| pupilDiam = 4 'Default pupil diameter {~ngI< Else n3kYVAgF pupilDiam = CDbl(dlg.TextBox2) wz P")}[0 End If }~RH!Q1 ~\z\f}w Print " " w<]Wg^dyQ Print "Accommodation = " & A & " Diopters" b}[W[J}` Print "Pupil Diameter = " & pupilDiam & " mm" YbrsXp" zF[>K4 ' Calculate new parameters with accommodation f`jRLo*L taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ? h$>7| vO)nqtw Rant = 12.0 - 0.4*A 'Radius of anterior lens 3' WS6B+ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens H[{ch t
h @"m?
# Rpost = -5.224557 + 0.2*A 'Radius of posterior lens =y/VrF.bV CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens sGCV um} ~ 0x9`~
tlens = 3.767 + 0.04*A 'Lens thickness ;Vad| - &OiJJl[9 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction '%>$\Lv B%L0g.D" 'Adjust parameters to account for accommodation 'lU9*e9 IdlW[h3`[ '************************************************************************* v|XEC[F 'Aqueous thickness (Position of Lens) shlL(&Py '************************************************************************* 8yH) 8:w eID = FindFullName( "Geometry.Arizona Eye.Lens" ) +x!V;H( GetCustomElement eID, entity $zTjh~ 9 zX!zG<<K parID = FindFullName( "Geometry.Arizona Eye" ) EV@xUq!x. tF)aNtX4^ ' Delete any shift(s) in z /R< Q~G|\ count = 0 J}coWjw`q While GetOperationCount(eID)>count R4"g?
e GetOperation eID, count, op |/g\N,] If op.Type="ShiftZ" Then TZq']Z)# DeleteOperation eID,count _wg6}3 count=count-1 EY(@R2~#J End If ti'a^( count=count+1 ;fhFv&`mE Wend \)ac,i@fy @fp(uu 'Set new shift in ejwFQ'wTx op.Type = "ShiftZ" Got5(^'c op.val1 = taq G1Cn[F;e op.parent = parID ;b$(T5 AddOperation eID, op S2"p( Print "Set aqueous humor thickness = " & taq-0.55 :<s)QD -\j}le6;c '************************************************************************* =F
ZvtcCa 'Radius and conic constant of anterior lens 9[|Ql '************************************************************************* [t
/hjm"$ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zQ}:_ GetConic eID, entity, curv, conic +"a .,-f! +GWeu0b(~ SetConic eID, entity, 1/Rant, CCant @7%nMTZ@&v Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant POc<
G^ Gu&?Gn oc '************************************************************************* Nl7"|()e 'Radius and conic constant of posterior lens >U9* '************************************************************************* pHY~_^B4& eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 7vV3"uns GetConic eID, entity, curv, conic .8CR
\- JPgV7+{b[ SetConic eID, entity, 1/Rpost, CCpost {3C~cK{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost g^1M]1.f x9
<cT' '************************************************************************* )k3zOKZ; 'Lens thickness (Position of posterior lens surface) "-vm=d~\ '************************************************************************* }@}jwi)l w/N.#s^ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Fp-d69Npo &-9wUZ ' Delete any z-shift(s) (eN\s98)/ count = 0 vI#\Qe While GetOperationCount(eID)>count ;|b
D@%@ GetOperation eID, count, op 7[:9vY If op.Type="ShiftZ" Then K3TMT Y<p DeleteOperation eID,count DVRE ;+Jt count=count-1 b3x!tuQn End If cxrUk$f count=count+1 `R fhxzI Wend z:|4S@9 ) ]U-7 'Set new z-shift x\!Qe\lE op.Type = "ShiftZ" '6fMF#X4F op.val1 = tlens "a;JQ: op.parent = parID "W|Sh#JF AddOperation eID, op IC/'<%k Print "Set lens thickness = " & tlens 4)-LlYS_d< YrjF1hJ '************************************************************************* y:D|U!o2V 'Lens index of refraction xRJv_=dT '************************************************************************* Txfu%'2)e eID = FindMaterial( "Lens" ) B+wSLi( GetModelMaterial eID, mat |SZRO,7x q/?#+d mat.Nd = nlens ;4Y@xS2M SetModelMaterial eID, mat g` 6Xrf Print "Set lens index of refraction = " & nlens ;c_X
^"d n!&DLB1z '************************************************************************* 8k]'P*9ulz 'Pupil diameter N0sf
V '************************************************************************* r@H<@Vuc eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) (+38z)f y|nMCkuX 'Adjust pupil diameter (trimming volume inner hole) Xp{+){Iu b"t!nfgo SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Ja|! fT hJ>{`Tw ' Adjust pupil location to just in front of the lens R>To
L parID = FindFullName( "Geometry.Arizona Eye" ) T#Qn\8 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) eRD?O count = 0 Z[yQKy While GetOperationCount(eID)>count "6lf~%R" GetOperation eID, count, op q[nX<tO If op.Type="ShiftZ" Then C+cSy'VIK! DeleteOperation eID,count d3+pS\&IX? count=count-1 ~C{d2i End If Lf&p2p?~c count=count+1 !,+peMy Wend ,o]"G[Jk op.Type = "ShiftZ" m\__Fl op.val1 = taq-0.01 .ZFs+8qU> op.parent = parID gdRwh AddOperation eID, op } '. l'% \Q|1I Print "Set pupil diameter = " & pupilDiam t]#y}V 4iBp!k7 'Update AZ Eye subassembly Description G \?fWqx eID = FindFullName( "Geometry.Arizona Eye" ) { ,/mQ3 GetEntity eID, entity 7@$Hua,GY entity.Description = "Accommodation = " & A & "D" En&ESWN SetEntity eID, entity GN /]^{D p\wE})mu Update r;t0+aLc* Print "DONE!" L@2T %'nM!7w@I End Sub 6n]fr9f (YF`#v6 如果屈光度是4,光瞳直径是4,则会输出如下数据: F``$}]9KHD ~z$vF Accommodation = 4 Diopters 1D&Q{?RM Pupil Diameter = 4 mm TggM/@k Set aqueous humor thickness = 2.81 YQvN;W Set anterior lens radius = 10.4 and conic constant = -2.375869 y5 $h Set posterior lens radius = -4.424557 and conic constant = -3.081019 ='q:Io?T Set lens thickness = 3.927 qYBoo]}a Set lens index of refraction = 1.42672 +N:K V}K Set pupil diameter = 4 yjaX\Wb[z[ DONE! 6e(|t2^
G4vXPx%a8 Wp`wIe6 QQ:2987619807 QU_O9 BN
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