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简介 M}c_KFMV 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。 &K4o8Qz x:2_FoQ 模型 saZ;ixV Bj2rA.M 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。 r1\.Jz ?SpI^Wn)[ Table 1. AZ眼睛模型的定义 H5 -I}z 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. 48DsRy we@bq,\w 光源 4qMHVPJv\ V>%%2"&C 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。 Vs"Z9p$U qM`SN4C C
}[u[) 图1. 光源和提示信息使用 ZDb`]c4( 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。 ,s2.l/5r;C zbnQCLs 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。 u+V;r)J{ / [19ITZ 图2. 字母F光源的设定方法光 +VeLd+Q} (tz! "K 图3. 字母F在视网膜上位置点列图 9GEcs(A* 视网膜的散射 9O)>>1}*S 6nwO:?1o9 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。 oacY-& -(2-zznZ nYe}d! 图4. 视网膜朗伯散射设定 7%<jZ= 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。 f8j^a?d| 0TNzVsu7 E,X,RM~
+D 图5. 视网膜重点采样规格设定 <Du*Re6g 脚本 {/Cd ^CK [brrziZ 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: ~%
c->\Q 4 A<c@g2 图6. 用户对话框的创建与编辑 zPXd]jIwV 图7. 用户对话框编辑器 &yN<@. 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。 =_86{wlk 余下的脚本计算与屈光度有关的所有参数。 @4|/| ! ZQ:Y5ph 分析 l{R)yTO p<jr&zVEc> 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 3l^pY18H' aJF`rLm 图7. 字母F在视网膜上颜色分析 j Hzy1P{? 脚本代码 Fzu{,b BE2{qO{ Option Explicit 'Remove this to enable non-dimensioned variables to be used. ,>^~u . FruI#99 Dim entity As T_ENTITY
l gC Dim op As T_OPERATION ?m!FM:% Dim mat As T_MODELMATERIAL ~RJg.9V Dim A As Double n >Ei1 Dim pupilDiam As Double /<C=9?Ok Dim eID As Long !9
F+uc5 Dim parID As Long Gl:ASPZ6 Dim count As Integer s,RS}ek~| Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 7^L&YVW Dim tlens As Double, nlens As Double %Xl@o Dim curv As Double, conic As Double BCbW;w8aI Dim ok As Long Yem\`; * pI`Ke" Sub Main jt3SA
[cy tFwlx3 '用户输入对话框 L:<'TXsRA Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *v9G#[gG TextBox 220,21,40,21,.TextBox1 'default: 0 . ~<+ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _=MWt_A '3 OKButton 40,91,90,21 ,aJrN!fzU CancelButton 190,91,90,21 DH^^$) Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 9V&LJhDQ TextBox 220,49,40,21,.TextBox2 'default: 4 v^tKT& End Dialog |`nVr>QF& Dim dlg As UserDialog 9 2EMDKJ R<=t{vTJ5 ok = Dialog (dlg) .phQ7":` iH>djGhTh If ok=0 Then 'cancel button was pressed ($s{em4L Print "Execution cancelled." _X[c19q End *pMA
V[^ End If &u8c!;y$b ,zFN3NLtA 'Assign accommodation and pupil diameter & use defaults if field left empty Ba6xkEd If dlg.TextBox1 = "" Then Pz 'Hqvd A = 0 'Default accommodation J[l K Else BP6Shc|C A = CDbl(dlg.TextBox1) Fo#*_y5\ End If gUp0RPs F'I6aE% If dlg.TextBox2 = "" Then s__g*%@B
b pupilDiam = 4 'Default pupil diameter 7L*`nU|h Else 2"O Y]d pupilDiam = CDbl(dlg.TextBox2) 6,PLzZ5 End If i1
&'Zh 0=B5
=qyw Print " " u W T[6R Print "Accommodation = " & A & " Diopters" GLyh1qNX Print "Pupil Diameter = " & pupilDiam & " mm" qZh~Ay6I 9x!y.gx ' Calculate new parameters with accommodation v knFtpx taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness UZra'+Wb qE}YVKV* Rant = 12.0 - 0.4*A 'Radius of anterior lens 4lCm(#T{, CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens .Q@"];wH _u$K Lqt/, Rpost = -5.224557 + 0.2*A 'Radius of posterior lens R{vPn8X6g CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens j`B{w -cgukl4Va tlens = 3.767 + 0.04*A 'Lens thickness SfUUo9R(sm k 9rnT)YU nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction
ZsZ1 d}_c( 'Adjust parameters to account for accommodation @_3$(*n$~ lQ"i]};<D '************************************************************************* DlI5} Jh 'Aqueous thickness (Position of Lens) Vm.@qO*= '************************************************************************* "[yiNJ"kt eID = FindFullName( "Geometry.Arizona Eye.Lens" ) T*yveo&j GetCustomElement eID, entity Kf#!IY][ Umg81! parID = FindFullName( "Geometry.Arizona Eye" ) \<**SSN G,*s9P]1 ' Delete any shift(s) in z R:?vY! count = 0 46Nf|~ While GetOperationCount(eID)>count fx:KH:q3 GetOperation eID, count, op VWt'Kx" If op.Type="ShiftZ" Then BtChG] N| DeleteOperation eID,count M7,MxwZ0k count=count-1 ;0}2@Q2@ZK End If :g#it@
count=count+1 8[;oUVb5 Wend A#&qoZ(C D5u"4\g<& 'Set new shift in (14kR op.Type = "ShiftZ" N1~$ + op.val1 = taq nX%'o`f op.parent = parID [dlH
t;S AddOperation eID, op <9a_wGs Print "Set aqueous humor thickness = " & taq-0.55 ecpUp39\ RI3{>|* '************************************************************************* GK?R76d 'Radius and conic constant of anterior lens J5_Y\@ '************************************************************************* F
t/
x5 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 9PK-r;2 GetConic eID, entity, curv, conic 389.&`Q%Ut CL :M>( SetConic eID, entity, 1/Rant, CCant 2-!Mao"^ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant +|)1_NK z/k~+-6O '************************************************************************* KxmPL 'Radius and conic constant of posterior lens z.&%>%TPP '************************************************************************* A5<Z&Y[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) myOX:K* GetConic eID, entity, curv, conic )=nPM`Jn. UQ])QTrZFi SetConic eID, entity, 1/Rpost, CCpost eZ5}O0sfp Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [.xk hRIS[#z;U '************************************************************************* OKP_3Ns 'Lens thickness (Position of posterior lens surface) wn|@D< '************************************************************************* #aY<J:Nx g*?+~0"`Y parID = FindFullName( "Geometry.Arizona Eye.Lens" ) U9.=Ik c_$&Uii ' Delete any z-shift(s) 'O2#1SWe count = 0 PJ'lZu8?x While GetOperationCount(eID)>count tW"ptU^9) GetOperation eID, count, op ([dL:Fb If op.Type="ShiftZ" Then K6*UFO4}i DeleteOperation eID,count LiD |4(3 count=count-1 pkf OM"5' End If 1 lCikS^c count=count+1 -s%-*K+,W Wend 8G l5)=2 3hf;4Mb 'Set new z-shift ro^6:w3O^ op.Type = "ShiftZ" %_R|@cyD op.val1 = tlens dN\P&"` op.parent = parID gq_7_Y/ AddOperation eID, op R5&$h$[/ Print "Set lens thickness = " & tlens GHC?Tp (&S[R{=^j '************************************************************************* P,;b'-5C 'Lens index of refraction 4:e q{n '************************************************************************* C:GHP$/} eID = FindMaterial( "Lens" ) ?V)C9@bp GetModelMaterial eID, mat MRg\FR2>1
2C33;?M mat.Nd = nlens `TD%M`a SetModelMaterial eID, mat }d3N`TT Print "Set lens index of refraction = " & nlens 4 ^~zN"6] %f_OP$;fc '************************************************************************* w^rb|mKo 'Pupil diameter 5Jhbf2- '************************************************************************* opcR~tg@r eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) gUH'DS]{ u->@|tEq 'Adjust pupil diameter (trimming volume inner hole) g t^]32$ g\\1C2jG SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" nl-t<#z[ ;;w6b:}-c ' Adjust pupil location to just in front of the lens WW[`E parID = FindFullName( "Geometry.Arizona Eye" ) ELrZ8&5G eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]Z$TzT&@% count = 0 cbu nq" While GetOperationCount(eID)>count `mKlv~$1^ GetOperation eID, count, op XAU_SPAjiw If op.Type="ShiftZ" Then 7Z`Mt9:Ht DeleteOperation eID,count vpeBQ=2\ count=count-1 y@kcXlY End If 6}i&6@Snq? count=count+1 >^H'ZYzw Wend I`"-$99|t1 op.Type = "ShiftZ" Ku0H?qft( op.val1 = taq-0.01 3Zaq#uA op.parent = parID >FY&-4+v AddOperation eID, op qJX+[PJ 6R-C0_'h Print "Set pupil diameter = " & pupilDiam dE5 5 iz9\D*or 'Update AZ Eye subassembly Description OC?Zw@ eID = FindFullName( "Geometry.Arizona Eye" ) Sqdc1zC GetEntity eID, entity $(KIB82& entity.Description = "Accommodation = " & A & "D" 3b|7[7}& SetEntity eID, entity 'Vm5Cs$ zM_DE Update 2Ft8dfdm` Print "DONE!" !c4)pMd wuIsO;}/9 End Sub 95$pG/o SaR}\Up 如果屈光度是4,光瞳直径是4,则会输出如下数据: |{7e#ww] V~J*49t&2J Accommodation = 4 Diopters Evr2|4|O~ Pupil Diameter = 4 mm 2AXF$YjY Set aqueous humor thickness = 2.81 BN\fv, Set anterior lens radius = 10.4 and conic constant = -2.375869 :cXIO Set posterior lens radius = -4.424557 and conic constant = -3.081019 &Rt+LN0qB0 Set lens thickness = 3.927 6K4`; Set lens index of refraction = 1.42672 x1m8~F Set pupil diameter = 4 qPXANx<^ DONE! ?JXBWB4 C3
gZ6m (文章来源:讯技光电)
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