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简介 .v1rrH? fil6w</L 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。 5jNBt>.0 qWE"vI22M 模型 E=s`$ A
HqYaQ~Dth 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|{$3% &<UOi@ Table 1. AZ眼睛模型的定义 #i2q}/w5`C 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. 3;:xEPb._6 =:"@YD^a4 光源 <Isr gX(QRQ 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。 MeplM$9 |=%$7b\C &OzJ^G\o 图1. 光源和提示信息使用 6@F Z,e 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-rWe{gs> p$9N}}/c 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 :cC`wX$ 7H>dv' 图2. 字母F光源的设定方法光 ^E:;8h4$9 LoCxoAg 图3. 字母F在视网膜上位置点列图 Yhsb$wu 视网膜的散射 .FMF0r>l
HPCA,*YR` 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。 5~[Fh2+ W}=2?vHV= I"
j7 图4. 视网膜朗伯散射设定 6kDU}]c:H] 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。 ,*lK4?v >XZq=q]E! iTK1I0 图5. 视网膜重点采样规格设定 [FCNW0NV 脚本 _%L3?PpF" 3=K-+dhk|t 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: 0>?mF]M Sv>aZ 图6. 用户对话框的创建与编辑 Z$hxo)| 图7. 用户对话框编辑器 rvfl~<G* 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 fsmH];"GD 余下的脚本计算与屈光度有关的所有参数。 ?t%5 / 1)Ag|4 分析 LnyA 5T d[Fsp7U} 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 )eG&"3kFe! d8r+UP@# 图7. 字母F在视网膜上颜色分析 8'quQCx*= 脚本代码 Ux<h`
s LaIif_fie^ Option Explicit 'Remove this to enable non-dimensioned variables to be used. Ebk@x=E .ev]tu2N Dim entity As T_ENTITY AP~!YwLW Dim op As T_OPERATION Pb`sn5; Dim mat As T_MODELMATERIAL 0y1t%C075 Dim A As Double 50Jr(OeU< Dim pupilDiam As Double w##Fpv<m Dim eID As Long g!QumRF Dim parID As Long tw(2V$J Dim count As Integer 7xcYM Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double tsa6: D Dim tlens As Double, nlens As Double u,]yd* Dim curv As Double, conic As Double G?g7G,|d Dim ok As Long S:j0&* ~iSW^mi Sub Main g[n8N{s <wA_2S
Y '用户输入对话框 0jS/U|0 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 lt]U?VZ TextBox 220,21,40,21,.TextBox1 'default: 0 !6%mt} h Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 OH(+]%B78 OKButton 40,91,90,21 \r2qH0B CancelButton 190,91,90,21 /6fPC;l Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 )
jvkwC TextBox 220,49,40,21,.TextBox2 'default: 4 aD^MoB3 End Dialog (l,o UBRr Dim dlg As UserDialog _aGdC8%[ O^:h _L ok = Dialog (dlg) S.jjB Rju8%FRO If ok=0 Then 'cancel button was pressed #(H_w4 Print "Execution cancelled." +u2Co_FJ& End LKZI@i) End If &|4Uo5qS=Z E.3}a>f 'Assign accommodation and pupil diameter & use defaults if field left empty d7P @_jO6 If dlg.TextBox1 = "" Then ,+RO 5n A = 0 'Default accommodation L_r &'B Else {Vm36/a A = CDbl(dlg.TextBox1) >KPJ74R End If
i=D,T[|>a Z^l!y5s/H If dlg.TextBox2 = "" Then &1{k^>oz pupilDiam = 4 'Default pupil diameter $Da^z[8e Else @FV;5M:I pupilDiam = CDbl(dlg.TextBox2) yd~fC:_ ] End If {;E/l(HNI (AYS>8O& Print " " /z5lxS@# Print "Accommodation = " & A & " Diopters" GP$Y4*y/ Print "Pupil Diameter = " & pupilDiam & " mm" OKVYpf k
))*z FV ' Calculate new parameters with accommodation %np#Bv-L taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ar|[D7Xrq\ \7/_+)0}' Rant = 12.0 - 0.4*A 'Radius of anterior lens ,LZ:y1z'V- CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens x,dv~QU d@tr]v5 B Rpost = -5.224557 + 0.2*A 'Radius of posterior lens l'T0< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 81cmG`G7 ^Q>*f/.KN tlens = 3.767 + 0.04*A 'Lens thickness ArYF\7P Y ,yaB)&Ih nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction o}A #- !&lPdEc@T 'Adjust parameters to account for accommodation Ak Tw?v' .}N^AO= '************************************************************************* ;l ()3; 'Aqueous thickness (Position of Lens) 0Q >|s_ '************************************************************************* a`*WpP \+ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) WZ&@
J B GetCustomElement eID, entity F* }Q^% >EtP^Lu~f_ parID = FindFullName( "Geometry.Arizona Eye" ) h\d($Ki U_'q- *W ' Delete any shift(s) in z zDyeAxh4 count = 0 ZPao*2xz While GetOperationCount(eID)>count #\BI-zt GetOperation eID, count, op k+$4?/A If op.Type="ShiftZ" Then G3+a+=e DeleteOperation eID,count ;|QR-m2/ count=count-1 \STvBI? End If p0y?GNQ count=count+1 K)&XQ`& Wend W;dzLgc [E
(M(w': 'Set new shift in [V,
;X op.Type = "ShiftZ" lMez!qx,= op.val1 = taq 43=-pyp op.parent = parID dY@Tt&k8E AddOperation eID, op 0DIM]PS Print "Set aqueous humor thickness = " & taq-0.55 \BaN5+B6 h<ct W>6v '************************************************************************* NoZ4['NI\ 'Radius and conic constant of anterior lens ?{,)XFck '************************************************************************* h_G|.7! eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 0C+yq'D~[ GetConic eID, entity, curv, conic HcVs(]tIW B4Af SetConic eID, entity, 1/Rant, CCant ,
)pt_"-XA Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant k`mrRs B9)qv>m '************************************************************************* <VR&=YJ 'Radius and conic constant of posterior lens h;UdwmT '************************************************************************* GdeR#%z eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) zw0 r
i6 GetConic eID, entity, curv, conic n;^k ,
gr&s+ SetConic eID, entity, 1/Rpost, CCpost il cy/ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost | ,l=v`/ #u5;utY:F '************************************************************************* Doc'7P 'Lens thickness (Position of posterior lens surface) pD_eo6xX '************************************************************************* r]EZ)qp^@ 1\J1yOL parID = FindFullName( "Geometry.Arizona Eye.Lens" ) MY*>)us\ r]//Q6|S ' Delete any z-shift(s) C+]q count = 0 f.84=epv While GetOperationCount(eID)>count p9}c6{Wp GetOperation eID, count, op _E<O+leWf If op.Type="ShiftZ" Then dms:i)L2 DeleteOperation eID,count y#Za|nt count=count-1 2N8sq(LK{ End If ;7^j-6 count=count+1 fRa-bqQ Wend vQTQS[R=z VDu
.L8 'Set new z-shift C`~4q<W' op.Type = "ShiftZ" 2:HP5 op.val1 = tlens $s(4?^GP op.parent = parID dYew7 AddOperation eID, op iMeRQYW Print "Set lens thickness = " & tlens nK%/tdq ];{l$-$$ '************************************************************************* Or#+E2%1E 'Lens index of refraction Gp3nR<+ '************************************************************************* L1!hF3G eID = FindMaterial( "Lens" ) &0
)xvZ GetModelMaterial eID, mat #b"5L2D`y' Rw
ao5l=x mat.Nd = nlens C(1A8 SetModelMaterial eID, mat wI]R+. Print "Set lens index of refraction = " & nlens z2nUul(2 OxHw1k '*************************************************************************
vD)A) 'Pupil diameter .";tnC!e '************************************************************************* ~SR(K{nf#. eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) vLK\X$4 ?ZuD
_L-i 'Adjust pupil diameter (trimming volume inner hole) 71<PEawL o!l3.5m2d SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" NtA|#"^ eYD9#y ' Adjust pupil location to just in front of the lens oA3W
{ parID = FindFullName( "Geometry.Arizona Eye" ) j
zmSFK g* eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) K,C$J
I count = 0 k.=S+#"} While GetOperationCount(eID)>count ~q]|pD"\K| GetOperation eID, count, op 3e!Yu.q: If op.Type="ShiftZ" Then Puth8$ DeleteOperation eID,count 5Ckk5b count=count-1 4z0R\tjT End If F3Ak'h{Ay count=count+1 C@UJOB Wend K7[AiU_I op.Type = "ShiftZ" DtJTnvG~B op.val1 = taq-0.01 QC\g%MVG op.parent = parID rMXOwkE AddOperation eID, op ghJ,s|lH d[>N6?JA/ Print "Set pupil diameter = " & pupilDiam #EQx gSv[4,hXd 'Update AZ Eye subassembly Description ;oY(I7 eID = FindFullName( "Geometry.Arizona Eye" ) \Sq"3_m4T GetEntity eID, entity 74}eF)(me entity.Description = "Accommodation = " & A & "D" B~_,>WG SetEntity eID, entity mOz&6T<| 5}d/8tS Update HV$9b~( Print "DONE!" .cH{WZ q(jkit~`A End Sub Kixr6\
,3J`ftCV 如果屈光度是4,光瞳直径是4,则会输出如下数据: h[-d1bKwS P"V{y|2 Accommodation = 4 Diopters 1|l)gfcP Pupil Diameter = 4 mm $xUzFLh=` Set aqueous humor thickness = 2.81 dY4k9p8 Set anterior lens radius = 10.4 and conic constant = -2.375869 ni"$[8U Set posterior lens radius = -4.424557 and conic constant = -3.081019 6<qwP?WN Set lens thickness = 3.927 6m-:F.k1( Set lens index of refraction = 1.42672 zU4V^N' Set pupil diameter = 4 ax72e hL} DONE! Mf;|z0UX
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