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简介 VhGs/5 i+3fhV 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。 G2{O9 \!50UVzm) 模型 hg@}@Wq\) ,B}I?vN. 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。 [P4$Khu$ NSAF4e Table 1. AZ眼睛模型的定义 F|bYWYED; 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. YV4#%I!< lfsqC};#\ 光源 CWo1.pV w rZPT89M6 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。 [k$*4u> T^<>Xiam ^rl"rEA 图1. 光源和提示信息使用 4M&`$Wim 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。 p{)5k RZpcXv 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。 |%a4`w nP~({:l8X 图2. 字母F光源的设定方法光 Mp$@`8X` w@\vHH.;V 图3. 字母F在视网膜上位置点列图 = VLS/\A 视网膜的散射 x3ERCqTR )py{\r9X 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(F42;$$ zjL.Bhiud wu9=N
^x 图4. 视网膜朗伯散射设定 _lKZmhi 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ]&~]#vB# 5F|8?BkOL^ q*![AzFh 图5. 视网膜重点采样规格设定 DD9 ?V}Yx 脚本 Syp"L;H8Em H=g.34 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ^[-el=oKn0 P|2E2=G 图6. 用户对话框的创建与编辑 u,3,ck!B>@ 图7. 用户对话框编辑器 kU-t7'?4 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Z4$cyL'$P 余下的脚本计算与屈光度有关的所有参数。 d1@%W;qX! ;;$# )b 分析 Wjh/M&, if;71ZE 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 PfS:AIy vzel# 图7. 字母F在视网膜上颜色分析 @4(k( 脚本代码 U'UQ|%5f I2$T"K:eo Option Explicit 'Remove this to enable non-dimensioned variables to be used. Sw`RBN[ yo [+*$\ Dim entity As T_ENTITY I|-p3g8\ Dim op As T_OPERATION aq+Y7IR_ Dim mat As T_MODELMATERIAL AB Xl Dim A As Double !|q<E0@w\ Dim pupilDiam As Double zOEY6lAwI Dim eID As Long SjjIr ^ Dim parID As Long 1pv}]&X Dim count As Integer %u^JpC{E Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double MC((M,3L Dim tlens As Double, nlens As Double GT hL/M
Dim curv As Double, conic As Double uJR%0 E7! Dim ok As Long Kz<@x`0 D9mz9
Sub Main !}\4utHY 5 )2:stT73 '用户输入对话框 +#b:d=v! Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 z|7zj/+g TextBox 220,21,40,21,.TextBox1 'default: 0 (\"k&O{ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 be5,U\&z OKButton 40,91,90,21 "xMD,}+5$$ CancelButton 190,91,90,21 &bqT/H18 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 )5JU:jNy TextBox 220,49,40,21,.TextBox2 'default: 4 .,~(%#Wl$ End Dialog f"7M^1)h2% Dim dlg As UserDialog w#JJXXQI @ DZD ok = Dialog (dlg) }~h'FHCC+ <X TU8G If ok=0 Then 'cancel button was pressed \ 6EKgC1 Print "Execution cancelled." 2,vB'CAI End t:JI!DR End If ]J9cVp `G1&Z]z 'Assign accommodation and pupil diameter & use defaults if field left empty >U1R.B7f If dlg.TextBox1 = "" Then =.|J!x A = 0 'Default accommodation 2M)]!lYy Else #U=X NU}k A = CDbl(dlg.TextBox1) 9p 4"r^ End If H4OhIxK d_S*#/k If dlg.TextBox2 = "" Then ~9F ,% pupilDiam = 4 'Default pupil diameter 4>^K:/y Else 'tN25$=V&W pupilDiam = CDbl(dlg.TextBox2) M,j(=hRJ/E End If = 5D nR =S[yE]v^ Print " " !$A 37j6 Print "Accommodation = " & A & " Diopters" {Z; jhR, Print "Pupil Diameter = " & pupilDiam & " mm" #jpoHvth @ZN^1?][ ' Calculate new parameters with accommodation #tt?!\8C taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness H?}[r)|(3i 2=-utN@Z Rant = 12.0 - 0.4*A 'Radius of anterior lens =k3!RW' CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens o01kYBD SUWD]k >PH Rpost = -5.224557 + 0.2*A 'Radius of posterior lens J" j.'. CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens IYWjHE+)d +^rh[>W tlens = 3.767 + 0.04*A 'Lens thickness ""O" JO&JP3N1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction $d+DDm1o 0s#vwK13 'Adjust parameters to account for accommodation 9[v1h,L `=#01YX[0 '************************************************************************* ka\OJ7u 'Aqueous thickness (Position of Lens) bG&"9b_c '************************************************************************* U,/6;} eID = FindFullName( "Geometry.Arizona Eye.Lens" ) rA0,`}8\ GetCustomElement eID, entity A>VI{ * v8Ts parID = FindFullName( "Geometry.Arizona Eye" ) -71dN0hWh
qLncn}oNM ' Delete any shift(s) in z d{et8N count = 0 ^n#1<K[E While GetOperationCount(eID)>count @RD+xYm GetOperation eID, count, op 0,*%vG?Q If op.Type="ShiftZ" Then ;TQf5|R\K DeleteOperation eID,count D+ V7hpH- count=count-1 @vgG1w End If BhpOXqg count=count+1 D0Z\Vvy Wend s)voII& C8@TZ[w 'Set new shift in r%wA&FQ8U op.Type = "ShiftZ" AJt!!crs op.val1 = taq CZ2`H[8 op.parent = parID B bhfG64 AddOperation eID, op HLQ"?OFlz Print "Set aqueous humor thickness = " & taq-0.55 PYB+FcR6?n @J[6,$UVu '************************************************************************* `Yc_5&" 'Radius and conic constant of anterior lens x+? 9C '************************************************************************* '"pd eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]!1OH
|Ad GetConic eID, entity, curv, conic y<W8Q<9 hlvt$Jwq SetConic eID, entity, 1/Rant, CCant F}Mhs17!| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant hovGQHg wYeB)1. '************************************************************************* \^+ILYO:$ 'Radius and conic constant of posterior lens >YW\~T '************************************************************************* y;"
n9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) XA0(f* GetConic eID, entity, curv, conic JL}\* PDx)S7+w[ SetConic eID, entity, 1/Rpost, CCpost dYFzye Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost RKd 9z
m|Lbj '************************************************************************* (A k\Lm
'Lens thickness (Position of posterior lens surface) Qz<d~N '************************************************************************* UIJx* %/"Oxi^G parID = FindFullName( "Geometry.Arizona Eye.Lens" ) {TSY|D2 k>4qkigjc ' Delete any z-shift(s) v=YK8fNi count = 0 >Dm8m[76 While GetOperationCount(eID)>count {mYP<NBT GetOperation eID, count, op @z6!a If op.Type="ShiftZ" Then ;'T{li2 DeleteOperation eID,count g]mtFrP count=count-1 FD7H@L5 End If A )nW count=count+1 n_[i0x7# Wend Dkw%`(Oh/, +\`vq"e 'Set new z-shift @`u?bnx]e op.Type = "ShiftZ" 3{raKM6F op.val1 = tlens T*2C_oW op.parent = parID %:6?Y%`*[ AddOperation eID, op ! U0z" Print "Set lens thickness = " & tlens e]+OO
g& 3EFD%9n '************************************************************************* )9"oL!2h 'Lens index of refraction U SOKDDm '************************************************************************* S[M4ukYK eID = FindMaterial( "Lens" ) u.|~
GetModelMaterial eID, mat
~m=EM; Lf}8qB#Y mat.Nd = nlens AG"l1wz SetModelMaterial eID, mat W+>wu%[L Print "Set lens index of refraction = " & nlens b=##A dFW=9ru+MQ '************************************************************************* _v5t<_^N 'Pupil diameter Aw^yH+ae '************************************************************************* Os),;W0w4 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ;|ub!z9GG Go\VfLL w 'Adjust pupil diameter (trimming volume inner hole) D=?{8 'R' Eyh|a.)- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" @98;VWY\ }Ag|gF!_ ' Adjust pupil location to just in front of the lens HB&
& parID = FindFullName( "Geometry.Arizona Eye" ) uK*|2U6t eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /9ZcM]X B count = 0 X33v:9= While GetOperationCount(eID)>count S0w> hr GetOperation eID, count, op :Z`4j If op.Type="ShiftZ" Then iv%w!3# DeleteOperation eID,count -/{af count=count-1 )na&"bJ End If y>o>WN<q count=count+1 eMMx8E)B Wend W^g'}}]T op.Type = "ShiftZ" IhonnLLW op.val1 = taq-0.01 h* .w"JO op.parent = parID Q}vbm4)[ AddOperation eID, op n[k1np$7?6 gp Print "Set pupil diameter = " & pupilDiam $3
8gs{+ m@qqVRn#) 'Update AZ Eye subassembly Description @ RR\lZ eID = FindFullName( "Geometry.Arizona Eye" ) >q( 5ir GetEntity eID, entity q^Tis>*u6 entity.Description = "Accommodation = " & A & "D" us{nyil1 SetEntity eID, entity TQ9'76INb 3;/?q Update w+UV"\!G)Q Print "DONE!" )s")y 7 ^I:=qc72 End Sub E&2tBrAq vZjZb(jlN 如果屈光度是4,光瞳直径是4,则会输出如下数据: A3UQJ _vrWj<wyf Accommodation = 4 Diopters 'Ji+c Pupil Diameter = 4 mm cH"@d^"+q| Set aqueous humor thickness = 2.81 c~tAvDX Set anterior lens radius = 10.4 and conic constant = -2.375869 }B)jq`a?|\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 } p'8w\C$ Set lens thickness = 3.927 &4kM8Qh Set lens index of refraction = 1.42672 -J$g(sikt Set pupil diameter = 4 !Yh}H<w0 DONE! (([I]q
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