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简介 kUx&pYv :K82sCy%5 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。 )2q~u%9n AwUi+|7r]) 模型 ?rX]x8iP nwt C:*} 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。 RPnRVJ&"Z d'6|: z9c Table 1. AZ眼睛模型的定义 1' v5/ 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. {%v-( x3ERCqTR 光源 f
).1]~ vP@v.6gS, 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。 e(F42;$$ zjL.Bhiud `~UZU@/x 图1. 光源和提示信息使用 _lKZmhi 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。 O#EV5FeF. e,_-Je 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。 Fk;oE'"D DD9 ?V}Yx 图2. 字母F光源的设定方法光 fEE
/-}d H=g.34 图3. 字母F在视网膜上位置点列图 \,Lo>G`! 视网膜的散射 H y"x XNMa0 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。 kU-t7'?4 Z4$cyL'$P d1@%W;qX! 图4. 视网膜朗伯散射设定 FOwDp0 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。 /y7M lU9 Z}A%=Z\/3 7?gFy- 图5. 视网膜重点采样规格设定 L\{IljA 脚本 e^YHJ>@ |sZ! 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: Uawpfgc} wfvU0]wk} 图6. 用户对话框的创建与编辑 I\?9+3 XnQ 图7. 用户对话框编辑器 \k`n[{ 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。 LLWB 余下的脚本计算与屈光度有关的所有参数。 H
xV#WoYKj y|&}.~U[ 分析 X7UuwIIP J?JeU/:+ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Fhz*&JC# E Uar/ 图7. 字母F在视网膜上颜色分析 Uq_j\A;c 脚本代码 6<,dRn n26Y]7N Option Explicit 'Remove this to enable non-dimensioned variables to be used. -"Y{$/B Ko&hj XHx Dim entity As T_ENTITY I]Tsz'T!9 Dim op As T_OPERATION ?.c;oS| Dim mat As T_MODELMATERIAL WD;Y~| Dim A As Double @ ''GPL@ Dim pupilDiam As Double t&5%?QyM Dim eID As Long Sx:Ur>?hd5 Dim parID As Long Nfe>3uQK Dim count As Integer SYeadsvF Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2>-S-;i Dim tlens As Double, nlens As Double D47R Dim curv As Double, conic As Double "x941} Dim ok As Long N$Y " c* P X;Ed*y Sub Main 2Nxm@B` { k *R<, '用户输入对话框 1iL'V-y Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 [U#72+K TextBox 220,21,40,21,.TextBox1 'default: 0 ,y9iKkg Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 -16K7yk OKButton 40,91,90,21 P^MOx4 CancelButton 190,91,90,21 H* ,,^ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 OI}
&m^IOo TextBox 220,49,40,21,.TextBox2 'default: 4 Tj~IaU End Dialog ;v17K Dim dlg As UserDialog Obw?_@X ky>wOaTmN6 ok = Dialog (dlg) bW#@OrsS KtS)'jf If ok=0 Then 'cancel button was pressed ?Y:x[pOe Print "Execution cancelled." 5#3W5z End zPEg End If PqNFyQkl 0Iud$Lu 'Assign accommodation and pupil diameter & use defaults if field left empty m`4R]L] If dlg.TextBox1 = "" Then x#~ x;) A = 0 'Default accommodation 3:"]Rn([P Else 3$vRW.c\q A = CDbl(dlg.TextBox1) \JG8KE=j End If P+MA*: m6eZ_&+u If dlg.TextBox2 = "" Then %2'A
pp pupilDiam = 4 'Default pupil diameter >$gG/WD?KR Else 6#}93Dgv4 pupilDiam = CDbl(dlg.TextBox2) c8)/:xxl End If >Sa*`q3J W$JebW<z( Print " " `<^VR[Mx Print "Accommodation = " & A & " Diopters" $&|y<Y= Print "Pupil Diameter = " & pupilDiam & " mm" oRN-xng }MR1^ ' Calculate new parameters with accommodation C\_zdADUb% taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness a m-b!l!q^ gADmN8G= Rant = 12.0 - 0.4*A 'Radius of anterior lens H@X oqgI CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens U(&oj e
N-lGa@ j Rpost = -5.224557 + 0.2*A 'Radius of posterior lens EG'[`<*h CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ~5ZvOX6L2 Xf=XBoN| tlens = 3.767 + 0.04*A 'Lens thickness W$dn_9W "SN4* nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 4vK8kkW1 E}CiQUx 'Adjust parameters to account for accommodation E< 4l#Z< Xqp|VbDca '************************************************************************* >idBS 'Aqueous thickness (Position of Lens) ;vhyhP.oM '************************************************************************* wI M{pK eID = FindFullName( "Geometry.Arizona Eye.Lens" ) RO\gax GetCustomElement eID, entity L+B?~_* DPe]daF parID = FindFullName( "Geometry.Arizona Eye" ) d
"BW/%m|g Y**|N8e ' Delete any shift(s) in z 0)YbI! count = 0 v8>v.}y While GetOperationCount(eID)>count fQWIw GetOperation eID, count, op ]u-SL md If op.Type="ShiftZ" Then F0~k1TDw DeleteOperation eID,count vv6$>SU count=count-1 RhF>T&Q End If K*K1(_x= count=count+1 39e; Wend \^+ILYO:$ \8uo{#cL8 'Set new shift in >1L=,M op.Type = "ShiftZ" '2J0>Bla op.val1 = taq XA0(f* op.parent = parID JL}\* AddOperation eID, op rgIrr5 Print "Set aqueous humor thickness = " & taq-0.55 2J;`m_oP \a"Ct' '************************************************************************* { PlK@#UN 'Radius and conic constant of anterior lens (A k\Lm
'************************************************************************* [~5p>' eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) KYJ1}5n GetConic eID, entity, curv, conic b yg0.+e0 {TSY|D2 SetConic eID, entity, 1/Rant, CCant k>4qkigjc Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant <Pqv;WI|R !.-tW7 '************************************************************************* rt]S\
'Radius and conic constant of posterior lens iY[+Ywh '************************************************************************* :2V^K&2L eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I"L;L?\S GetConic eID, entity, curv, conic B,$l4m4 Rz%e>) SetConic eID, entity, 1/Rpost, CCpost Z{-Lc68 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost )\/
=M* hPm>tV2X '************************************************************************* z,;;=V6j 'Lens thickness (Position of posterior lens surface) 3{raKM6F '************************************************************************* 33l>{(y hi{%pi&!T parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ! U0z" e]+OO
g& ' Delete any z-shift(s) 3EFD%9n count = 0 )9"oL!2h While GetOperationCount(eID)>count 8``;0}'PC GetOperation eID, count, op S[M4ukYK If op.Type="ShiftZ" Then u.|~
DeleteOperation eID,count UP1?5Q=H]Q count=count-1 d<p 2/aA End If Y8s;w!/ count=count+1 rp!
LP#* Wend s}x>J8hK bPD)D'Hs 'Set new z-shift IxSV? k
op.Type = "ShiftZ" hAR?
t5c op.val1 = tlens ZwI
1* f op.parent = parID GrEs1M1]* AddOperation eID, op To"dG&h Print "Set lens thickness = " & tlens g9tu%cIkR Qez SJ
io '************************************************************************* wJ"ev.A) 'Lens index of refraction *DeTqO65 '************************************************************************* oVkq2 eID = FindMaterial( "Lens" ) uF(k[[qaiN GetModelMaterial eID, mat ,4F,:w uZjI?Z.A mat.Nd = nlens Z_z#QX>=D SetModelMaterial eID, mat 0A$SYF$O+[ Print "Set lens index of refraction = " & nlens B+VuUt{S z MdC '************************************************************************* 60B-ay0e$b 'Pupil diameter mMw;0/n '************************************************************************* 97~K!'/^+y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) +H'\3^C- a<Uqyilm 'Adjust pupil diameter (trimming volume inner hole) Q}vbm4)[ 83;IyvbL SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" s"#]L44N /0==pLa4 ' Adjust pupil location to just in front of the lens QXQ parID = FindFullName( "Geometry.Arizona Eye" ) |O (G nsZ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Vewzo1G2 count = 0 =MSu3<y, While GetOperationCount(eID)>count R2^iSl%pj GetOperation eID, count, op 7kz-V. If op.Type="ShiftZ" Then LHi6:G"Y( DeleteOperation eID,count P^IY:
-s count=count-1 981!2* End If )SiY(8y count=count+1 {+=i? Wend $L{7%]7QC op.Type = "ShiftZ" 7:o+iP4 6 op.val1 = taq-0.01 f=ib9WbR# op.parent = parID Dd/}Ya(Gi AddOperation eID, op 7%CIt?Z% zqGYOm$r Print "Set pupil diameter = " & pupilDiam oh&Y<d0 L>nO:`>h 'Update AZ Eye subassembly Description D@hmO]5c eID = FindFullName( "Geometry.Arizona Eye" ) JuJ5qIal GetEntity eID, entity V\zsDP entity.Description = "Accommodation = " & A & "D" U42\.V0 SetEntity eID, entity .BL:h&h|y O,9X8$5H-a Update E^syrEz Print "DONE!" C4_t_N */U$sZQ) End Sub s^PmnFR @3 "DBJ 如果屈光度是4,光瞳直径是4,则会输出如下数据: (46U|P(v s1=u{ET Accommodation = 4 Diopters +{ab1))/ Pupil Diameter = 4 mm ^
wQcB Set aqueous humor thickness = 2.81 r}@< K Set anterior lens radius = 10.4 and conic constant = -2.375869 [+DNM
2A Set posterior lens radius = -4.424557 and conic constant = -3.081019 GTFl}t Set lens thickness = 3.927 0*{p Oe/u Set lens index of refraction = 1.42672 >@Khm"/T Set pupil diameter = 4 bX{PSjD DONE! a}D&$yz2
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