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简介 q#AEu
xI1 J(#6Cld`c 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。 i.6 b% MS""-zn< 模型 L3I$ K+c tjThQ 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。 JR`$t~0t K9xvog Table 1. AZ眼睛模型的定义 h!SsIy( 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. *RS/`a;, bxh-#x
& 光源 M4)U
[v c9 EtUv~ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 A!!!7tj eowwN>-2C u=nd7:bv 图1. 光源和提示信息使用 Wx-0Ip'9 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 4$VDJ 5?H8?~&dz 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。 }d}sC\>U ~ `}),aA 图2. 字母F光源的设定方法光 P,pC Z+H nQV0I"f]?] 图3. 字母F在视网膜上位置点列图 8zeeC
eI U 视网膜的散射 m BvO<?ec w3q'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。 J(}PvkA rGNa[1{kRs '8)kFR^9 图4. 视网膜朗伯散射设定 \}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。 >D u=(pB ]CLM'$ Q SF0?Puf 图5. 视网膜重点采样规格设定 AjEy@/ 脚本 KJyCfMH&:@ l9uocP:D 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: pqO0M]} QBGm)h?= 图6. 用户对话框的创建与编辑 'MW%\W; 图7. 用户对话框编辑器 py\:u5QS 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。 $)NS]wJ]3 余下的脚本计算与屈光度有关的所有参数。 T5T%[Gv #%QHb,lhl 分析 %`k [xz N,lr~6) 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 nxhlTf>3 t<fah 3hl 图7. 字母F在视网膜上颜色分析 0fX` >-X 脚本代码 P6kDtUXF &o x Option Explicit 'Remove this to enable non-dimensioned variables to be used. |*JMPg?zI !`N:.+DT Dim entity As T_ENTITY zx<PX Dim op As T_OPERATION rkji#\_-FV Dim mat As T_MODELMATERIAL ;SI (5rS? Dim A As Double (" :Dz_ Dim pupilDiam As Double >ymn&_zlT Dim eID As Long ) ??N]V_U Dim parID As Long v\dQjQu8m Dim count As Integer #&)H&H} Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double KF#^MEw% Dim tlens As Double, nlens As Double vC>2%Zgf- Dim curv As Double, conic As Double .F$}a% Dim ok As Long Pa0W|q#?X F-zIzzb&O Sub Main \E,2VM@6 ^vM6_=g2E% '用户输入对话框 ox`Zs2-a Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 !;8Y?c-D TextBox 220,21,40,21,.TextBox1 'default: 0 s9"X.-! Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 }Fu1Y@M% OKButton 40,91,90,21 x&DqTX?b, CancelButton 190,91,90,21 0,~s0]h0V Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 xltN-<n7 TextBox 220,49,40,21,.TextBox2 'default: 4 \5&Mg81 End Dialog Gr\jjf` Dim dlg As UserDialog Qq.$!$
*~
I HVU ok = Dialog (dlg) 7"2BZ ?xUl_ If ok=0 Then 'cancel button was pressed f_O| Print "Execution cancelled." +o4o!;E) End 8hS^8 End If i/-IjgM"- Uv[a
~' 'Assign accommodation and pupil diameter & use defaults if field left empty oQh;lb If dlg.TextBox1 = "" Then `q]' ^EzJ A = 0 'Default accommodation XdThl Else ]tu
OWR A = CDbl(dlg.TextBox1) w^8Q~3|7 End If Tv7W)?3h 5@1h^wv If dlg.TextBox2 = "" Then +|bmUm<2 pupilDiam = 4 'Default pupil diameter SujEF`" Else l=9D!64 pupilDiam = CDbl(dlg.TextBox2) =7TWzUCO# End If |-vyhr0 l-W)?d Print " " Eh;Ia6} Print "Accommodation = " & A & " Diopters" A4(L47^ Print "Pupil Diameter = " & pupilDiam & " mm" l
opl :_i1gY) ' Calculate new parameters with accommodation }2 S!;swg+ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness G3|23G.~)( uY)4y0 Rant = 12.0 - 0.4*A 'Radius of anterior lens cHr]{@7Cs CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens i#YDdz HLz<C Rpost = -5.224557 + 0.2*A 'Radius of posterior lens H#GR*4x CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !lzj.|7=1 p&Nav,9x tlens = 3.767 + 0.04*A 'Lens thickness f5bX,e)! ApSseBhh nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction %LC)sSq{H l+6@,TY1U 'Adjust parameters to account for accommodation
i / o @>U9CL" '************************************************************************* Eyf17 'Aqueous thickness (Position of Lens) fXnTqKAfu6 '************************************************************************* jN{k } eID = FindFullName( "Geometry.Arizona Eye.Lens" ) \I i#R GetCustomElement eID, entity U[;ECw@ !-qk1+<h parID = FindFullName( "Geometry.Arizona Eye" ) l]DRJ @Z$fEG)9 ' Delete any shift(s) in z p=[dt count = 0 Hh](n<Bs While GetOperationCount(eID)>count Z{(Gib~{N GetOperation eID, count, op g- #eMQ%J If op.Type="ShiftZ" Then *tZ3?X[b DeleteOperation eID,count |:(B I5&S count=count-1 ;w%g*S End If !#]kzS0 count=count+1 fU.hb%m)Q\ Wend >/.jB/q myXGMN$i 'Set new shift in 0j;|IU\ op.Type = "ShiftZ" 2\$<&]q op.val1 = taq ]lJ#|zd8o op.parent = parID )r A\+XT7 AddOperation eID, op .ZQXY%g Print "Set aqueous humor thickness = " & taq-0.55 Zq1> M'V; Rbm+V{EF& '************************************************************************* jj `0w@ 'Radius and conic constant of anterior lens ,t1s#*j\!q '************************************************************************* _mdJIa0D6k eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) )`5-rm~* GetConic eID, entity, curv, conic m|cRj{xZF S#+ _HFUK{ SetConic eID, entity, 1/Rant, CCant )}w-;HX Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]]V=\.y IP !zg|c, '************************************************************************* 0x'Fi2=` 'Radius and conic constant of posterior lens .
VI
# '************************************************************************* z5:3.+M5 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) u_WW
uo GetConic eID, entity, curv, conic 3joMtRB>; \<%FZT_4~ SetConic eID, entity, 1/Rpost, CCpost 8v;T_VN Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost I GcR5/3 l%2B4d9"v '************************************************************************* R<h0RKiM@ 'Lens thickness (Position of posterior lens surface) 9D%~~~
%b '************************************************************************* Eh_[8:dK #@5 jOi parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~ C_2D?
t.O4-+$ig ' Delete any z-shift(s) y7*^H count = 0 5o(=?dXm4 While GetOperationCount(eID)>count v g tJ+GjN GetOperation eID, count, op ;rF:$37^ If op.Type="ShiftZ" Then tK <)A) DeleteOperation eID,count S
1Ji\ count=count-1 Q([g1?F9* End If FUPJ&7+B count=count+1 VKrKA71Z~ Wend VxAR,a1+n {24Pv#ZG#^ 'Set new z-shift 3^&pb op.Type = "ShiftZ" ,%m$_wA$ op.val1 = tlens tQ?}x#J op.parent = parID p/s5[>N AddOperation eID, op }S&SL) Print "Set lens thickness = " & tlens q%^gG03. XlNB9\"5 '************************************************************************* Md m(xUs 'Lens index of refraction
UuA=qWC '************************************************************************* sAc)X!} eID = FindMaterial( "Lens" ) *KV]MdS GetModelMaterial eID, mat |y=D^NTG r>q`# ~ mat.Nd = nlens ma*9O |v^ SetModelMaterial eID, mat {k~$\J?. Print "Set lens index of refraction = " & nlens u09OnP\ tv|=`~Y '************************************************************************* PwNLJj+% 'Pupil diameter 9k"nx ," '************************************************************************* (/Y
gcT eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) `0 F"zu |s`q+ U - 'Adjust pupil diameter (trimming volume inner hole) ]g+(#x_.? pV-.r-P SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;j_#,Da9< Wj*6}N/ ' Adjust pupil location to just in front of the lens &k{@:z parID = FindFullName( "Geometry.Arizona Eye" ) KoXXNJax eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) XJ NKM~ count = 0 {5z?5i ?D While GetOperationCount(eID)>count ,!py
n<_ GetOperation eID, count, op O 1X
! If op.Type="ShiftZ" Then Ia"bP` L DeleteOperation eID,count Vis?cuU/ count=count-1 |m EJJg`"7 End If 0UB'6wRVo count=count+1 U&a]gkr Wend nMbV{h , op.Type = "ShiftZ" E|Lh$9XONA op.val1 = taq-0.01 G0&w#j op.parent = parID BzUx@, AddOperation eID, op Q\z*q,^R 3a S>U # Print "Set pupil diameter = " & pupilDiam p.IfJ| Zj^H3h 'Update AZ Eye subassembly Description Tuy*Df eID = FindFullName( "Geometry.Arizona Eye" ) ~gDtj&F GetEntity eID, entity ]-`{kX entity.Description = "Accommodation = " & A & "D" #sHP\|rA SetEntity eID, entity \^:f4ZT :R&tO3_F Update 8UZEC-K Print "DONE!" *Ee# x!O yI;Qb7|^ End Sub d$Xvax,C cK } Qu 如果屈光度是4,光瞳直径是4,则会输出如下数据: u@3w$"Pv1 =w5w=qB Accommodation = 4 Diopters #,;k>2j0 Pupil Diameter = 4 mm i
xyjl[G Set aqueous humor thickness = 2.81 ;Os3
! Set anterior lens radius = 10.4 and conic constant = -2.375869 m
;vNA Set posterior lens radius = -4.424557 and conic constant = -3.081019 J{ Vl2P?@ Set lens thickness = 3.927 _8>"&1n Set lens index of refraction = 1.42672 1WKDG~ Set pupil diameter = 4 *dl@)~i DONE! RinRQd w?C\YKF7 M/qiA.C@W QQ:2987619807 "869n37
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