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简介 qM
F'& "Y@rNmBj 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。 WjZJQK =T5vu~[J/e 模型 )&di
c6r wH1E7LY|R 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。 %Kd&A* dzDh V{ Table 1. AZ眼睛模型的定义 i:`ur 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. %+oWW5q7 4fBgmL 光源 _+0l+a*D l c)*HYqU 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。 <)y44x|S' P9Hv){z ^,zE Nqg7 图1. 光源和提示信息使用 "6/` 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。 <apsG7(7 a,o)i8G9R< 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。 g~_cYy |D)NPN& 图2. 字母F光源的设定方法光 j"o`K}C =W)Fa6P3j( 图3. 字母F在视网膜上位置点列图 <tK6+isc 视网膜的散射 (gBP`*2 S/-[OA>N 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。 E",s] 9
O| "Ws>{ )#[?pYd 图4. 视网膜朗伯散射设定 \FN"0P(G 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。 m`C(y$8fU jLC,<V* ~k+"!'1 图5. 视网膜重点采样规格设定 b)@%gS\F 脚本 KquHc-fzqr kXS_:f;M 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: jEfrxlj pc&/'zb 图6. 用户对话框的创建与编辑 dT8m$}h9 图7. 用户对话框编辑器 1\q(xka{ 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。 P8!Vcy938 余下的脚本计算与屈光度有关的所有参数。 k: PO"<-U ?cr;u~-= 分析 dA>t s]`&9{=E 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 &'V_80vA +<6L>ZAL 图7. 字母F在视网膜上颜色分析 G T#hqt'1x 脚本代码 I z~#G6]M e8gJ }8Fj Option Explicit 'Remove this to enable non-dimensioned variables to be used. 6XUcJ0 *%(8z~(\ Dim entity As T_ENTITY 1C+Y|p?KA Dim op As T_OPERATION '-3AWBWI1 Dim mat As T_MODELMATERIAL &H,5f# Dim A As Double /Ik_U?$* Dim pupilDiam As Double s<'^
@Y Dim eID As Long OQaM4 7" Dim parID As Long o!L1Qrh Dim count As Integer ,eOOV@3C Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 6~?7CK Dim tlens As Double, nlens As Double owZjQ Dim curv As Double, conic As Double 1B=vrGq Dim ok As Long 3;~1rw=$< m8$6FN Sub Main +o(t5O[G W%b<(T;
'用户输入对话框 0z/tceW'F Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Lx,"jA/ TextBox 220,21,40,21,.TextBox1 'default: 0 hXM8`iFW5 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 xksQMS2# OKButton 40,91,90,21 C$oY,A, CancelButton 190,91,90,21 w_pEup\` Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 MBs]<(RJZ TextBox 220,49,40,21,.TextBox2 'default: 4 v^y3r End Dialog UBqA[9 Dim dlg As UserDialog ZT4._|2 >8Zz<S&z ok = Dialog (dlg) Fwyv>U KCJ zE> If ok=0 Then 'cancel button was pressed r4dG83qg Print "Execution cancelled." ,)'!E^n End |M#b`g$JO, End If _IOeO x,IU]YW@ 'Assign accommodation and pupil diameter & use defaults if field left empty QZef= If dlg.TextBox1 = "" Then X'.}#R1 A = 0 'Default accommodation QD]Vfj4+ Else o,9E~Q '`{ A = CDbl(dlg.TextBox1) 5 g99t$p9 End If ?H eC+=/Z >Mj :' If dlg.TextBox2 = "" Then ^tsIgK^9H pupilDiam = 4 'Default pupil diameter LdI) Else 6[wej$u pupilDiam = CDbl(dlg.TextBox2) yxQxc5/X) End If 4Cke(G \2-!%i, Print " " 'Kxs>/y3 Print "Accommodation = " & A & " Diopters" \.myLkm Print "Pupil Diameter = " & pupilDiam & " mm" !vfjo[v
"6^tG[G% ' Calculate new parameters with accommodation \6)l(b; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness H&E c*MT u91;GBY Rant = 12.0 - 0.4*A 'Radius of anterior lens v3Tr6[9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 0`"]mYH rOyK==8/Fg Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 6hXL`A&}, CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 1lfkb1BM af\>+7x93 tlens = 3.767 + 0.04*A 'Lens thickness X/lLM` ?(Dkh${@ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction \E9Z
H3; @cAv8iK 'Adjust parameters to account for accommodation D^=_408\ epCU(d*b '************************************************************************* -Vn9YeH+ 'Aqueous thickness (Position of Lens) AnU,2[( '************************************************************************* Vi23pDZ5 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) /tc*jXB GetCustomElement eID, entity F)j-D(c4 15r,_Gp8 parID = FindFullName( "Geometry.Arizona Eye" ) :g2?)Er- (
Z\OqG ' Delete any shift(s) in z Bt[`p\p@ count = 0 %Z 9<La While GetOperationCount(eID)>count 8/U=~*`_ GetOperation eID, count, op Ah='E$t If op.Type="ShiftZ" Then Hhr/o~?;}# DeleteOperation eID,count {\ P$5O{% count=count-1 { >{|3 End If cn v4!c0 count=count+1 l^:m!SA_ Wend m'KY;C jiYYDGs77 'Set new shift in kwMuL>5 op.Type = "ShiftZ" = PcmJG] op.val1 = taq 'M|W nR op.parent = parID \U4O*lq AddOperation eID, op kCL)F\v"iT Print "Set aqueous humor thickness = " & taq-0.55 a k@0M[d yAU[A '************************************************************************* m/|>4~ 'Radius and conic constant of anterior lens 4wX{ N '************************************************************************* chQt8Ar3 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^-w:D GetConic eID, entity, curv, conic 7e/Uc!&* S+R<wv,6 SetConic eID, entity, 1/Rant, CCant }+nC}A"BC Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !
o:m*: \bCm]wR '************************************************************************* lInq= 'Radius and conic constant of posterior lens 24:;vcb '************************************************************************* ;
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h{-@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +)^F9LPl GetConic eID, entity, curv, conic >1`FRw< F_/]9tz?; SetConic eID, entity, 1/Rpost, CCpost 2"~!Pu^.j Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ;/N[tO?Q mk~i (Ee '************************************************************************* `FHHh 'Lens thickness (Position of posterior lens surface) 0AY23/ '************************************************************************* S]KcAz( fX ME[Wg\ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) o\@1\#a ~cz]Rhq ' Delete any z-shift(s) ^b~&}uU count = 0 }pbyC While GetOperationCount(eID)>count W'E!5T^ GetOperation eID, count, op Vl{CD>$, If op.Type="ShiftZ" Then <^UB@'lCm DeleteOperation eID,count p^&' C_? count=count-1 4;M End If mn{8"@Z count=count+1 nZfTK>)A0 Wend +uM1#-+h {:IOTy 'Set new z-shift Bz_['7D op.Type = "ShiftZ" COOazXtW op.val1 = tlens ?g}n$%*5y! op.parent = parID +Q_X,gZ AddOperation eID, op Y$--Hp4 Print "Set lens thickness = " & tlens /"- k
;jz ];R5[%:5 '************************************************************************* n>Y3hY 'Lens index of refraction 5>t&)g '************************************************************************* lN,b@; eID = FindMaterial( "Lens" ) !aeL*`; GetModelMaterial eID, mat d0>V^cB '? ~q?IG5s*Z mat.Nd = nlens RecA?-0 SetModelMaterial eID, mat ~2
T_)l? Print "Set lens index of refraction = " & nlens LXVm0IOFF oIt.Pc~;'# '************************************************************************* q+x4Od3 'Pupil diameter P0Ds7xh]h '************************************************************************* WVftLIJ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Fla[YWS m`g%\o^6i 'Adjust pupil diameter (trimming volume inner hole) "monuErg& +%>s\W+?] SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" si/F\NDT j$Vv'on ' Adjust pupil location to just in front of the lens eE>3=1d]w parID = FindFullName( "Geometry.Arizona Eye" ) f/Grem eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) =9\=5_V count = 0 S&6}9r While GetOperationCount(eID)>count $e+@9LNK GetOperation eID, count, op %aaOws If op.Type="ShiftZ" Then W2wDSP- DeleteOperation eID,count Umm_FEU#] count=count-1 Q0gO1T End If ,vrdtL count=count+1 ""^9WLH4g- Wend Vt5%A}.VQ op.Type = "ShiftZ" hAOXOj1 op.val1 = taq-0.01 Gc~A,_( op.parent = parID $.QnM AddOperation eID, op fm;1Iu# :GIY"l' Print "Set pupil diameter = " & pupilDiam V{HZ/p_Y *-ZD -B*? 'Update AZ Eye subassembly Description itm;, Sbg eID = FindFullName( "Geometry.Arizona Eye" ) q+~z# jFX GetEntity eID, entity GLwL'C'591 entity.Description = "Accommodation = " & A & "D" =P'=P0G SetEntity eID, entity +;C|5y 6O"Vy Update 3HO4h\mp Print "DONE!" ~`#.ZMO a,d\<mx End Sub 56G5JSB=\ R=i$*6}a 如果屈光度是4,光瞳直径是4,则会输出如下数据: MQQiQ 2 YM 7P!8Gc Accommodation = 4 Diopters {Xwin$C Pupil Diameter = 4 mm <z#r3J Set aqueous humor thickness = 2.81 %N/I;` Set anterior lens radius = 10.4 and conic constant = -2.375869 B6 x5E Set posterior lens radius = -4.424557 and conic constant = -3.081019 `y;&M8. Set lens thickness = 3.927 b[uTt'p} Set lens index of refraction = 1.42672 nkS6A}i3o Set pupil diameter = 4 }C/}8< DONE! ?b#/*T}ac
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