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简介 1(@$bsgu2 Nf([JP% 4 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 &%rM| #][i!9$ 模型 fJlNxdVr `,6|6.8# 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。 di/QJrw
S46aUkW. Table 1. AZ眼睛模型的定义 dGp7EB` 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. Tc(=J7*r& F
,472H 光源 OK]Q Db `rVru= zoy 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。 }@q/.Ct! x }`gOfj)?i cCZp6^/<x 图1. 光源和提示信息使用 )'~Jsg- 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。 |OJWQU![by 8;?4rrS 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。 +vy fhw4 $A?9U}V#^ 图2. 字母F光源的设定方法光 V<UChD)N` {3x>kRaKci 图3. 字母F在视网膜上位置点列图 o*)Sg6Yk 视网膜的散射 o#p%IGG` o,WjM[e 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 bVzi^R" I4"p]>Y" <kFLwF?PM' 图4. 视网膜朗伯散射设定 3A`Gx# 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 bVUIeX' ;(?tlFc }PJsPIa3j 图5. 视网膜重点采样规格设定 ?)1Y|W'Rv 脚本 !Q[v"6? ?C[?dg{n 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: XY| y1L 3[ +7b8 ye 图6. 用户对话框的创建与编辑 (|BY<Ac3 图7. 用户对话框编辑器 Jx5`0? 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 jn5xYKv 余下的脚本计算与屈光度有关的所有参数。 yIL=jzm`7 tq59w 分析 dLp1l2h!0 gQr+~O 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 bqE'9GI ^;_~mq. 图7. 字母F在视网膜上颜色分析 ."+lij=56 脚本代码 6|NH*#s !vnC-&G Option Explicit 'Remove this to enable non-dimensioned variables to be used. rk8pL[| ZwDL Dim entity As T_ENTITY #`u}#( Dim op As T_OPERATION ,Iyc0 Dim mat As T_MODELMATERIAL 8vVE Dim A As Double &q>8D' Dim pupilDiam As Double ]B3](TH" Dim eID As Long ?CAU+/ Dim parID As Long hty'L61\z Dim count As Integer w!"L\QT Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double `0NU
c)` Dim tlens As Double, nlens As Double (S!UnBb& Dim curv As Double, conic As Double Q~]oN Dim ok As Long -LiGO #U jUm-!SK}q Sub Main Hi09?AX 57q= '用户输入对话框 Q|)>9m!tt Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 !}!KT(%% TextBox 220,21,40,21,.TextBox1 'default: 0 ceG\Q2 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 `a&L OKButton 40,91,90,21 m ~&
CancelButton 190,91,90,21 {c*$i^T Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2V@5:tf TextBox 220,49,40,21,.TextBox2 'default: 4 \< .BN;t{ End Dialog .h W># Dim dlg As UserDialog %k#+nad q8$t4_pF ok = Dialog (dlg) P7-k!p" Ve(<s
If ok=0 Then 'cancel button was pressed iW6O9~ Print "Execution cancelled." \na$Sb+ End ;$iT]S End If CC=I|/mBM "zcAYg^U 'Assign accommodation and pupil diameter & use defaults if field left empty 7
{92_xRL If dlg.TextBox1 = "" Then Tm`@5 A = 0 'Default accommodation TAUl{??, Else +DRt2a# A = CDbl(dlg.TextBox1) fJ/INL End If t5E$u(&+'B &^$@LH3 If dlg.TextBox2 = "" Then 6vK`J"d{~D pupilDiam = 4 'Default pupil diameter %d+Fq=< Else Doc zQc-U+ pupilDiam = CDbl(dlg.TextBox2) 'b.jKkW7 End If Xgx/ubca0 XdJD"|,h Print " " C?|sQcCE Print "Accommodation = " & A & " Diopters" C)U4Fr ?E: Print "Pupil Diameter = " & pupilDiam & " mm" @S3 L%lOH "9xJ},:- ' Calculate new parameters with accommodation 2-'_Nwkl* taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ~a_hOKU5 m^oG9&"; Rant = 12.0 - 0.4*A 'Radius of anterior lens 'yCVB&`b CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens .h
<=C&Yg vT#R>0@mi Rpost = -5.224557 + 0.2*A 'Radius of posterior lens d9JAt-6z2 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens |y7TYjg6 dlo`](5m tlens = 3.767 + 0.04*A 'Lens thickness _t-6m2A <9&GOaJ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 6H0kY/quL| F2zo
!a8 'Adjust parameters to account for accommodation oL~1M=r }$<v '************************************************************************* M;XU"8 'Aqueous thickness (Position of Lens) N_
ODr]L '************************************************************************* Vl$RMW@Ds eID = FindFullName( "Geometry.Arizona Eye.Lens" ) |\Gkhi>; GetCustomElement eID, entity B4un6-<i t?&; parID = FindFullName( "Geometry.Arizona Eye" ) J <z
^C gA=Pz[i)p ' Delete any shift(s) in z 1CJ1-]S(3 count = 0 O_ r-(wE4 While GetOperationCount(eID)>count dUB;ZB7 GetOperation eID, count, op YN)qMI_`A If op.Type="ShiftZ" Then o Tvg%bX DeleteOperation eID,count /mJb$5=1 count=count-1 Gu{1%bb#kL End If lFuW8G,-f@ count=count+1 yE
N3/-S+ Wend Pjq9BK9p @B0fRG y 'Set new shift in <,O|fY% op.Type = "ShiftZ" gGNo!'o op.val1 = taq 0>m$e(Z op.parent = parID BT(eU*m- AddOperation eID, op 0<uL0FOT Print "Set aqueous humor thickness = " & taq-0.55 lre(]oBXA nEUH; z '************************************************************************* 0Bgj.?l 'Radius and conic constant of anterior lens 6 [bQ'Ir^8 '************************************************************************* |9i[*] eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) !gyW15z' GetConic eID, entity, curv, conic -^_^ByJe R{H8@JLD SetConic eID, entity, 1/Rant, CCant Y, Lpv| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant >G1]#'6; r+Sv(KS4i^ '************************************************************************* Foj|1zJS_ 'Radius and conic constant of posterior lens ymrnu-p o '************************************************************************* }x6)}sz7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) xGOmvn^lQ GetConic eID, entity, curv, conic DQ$m@_/4w ~2[kCuu SetConic eID, entity, 1/Rpost, CCpost ??Urm[Y.Z Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost \Dr( /n v\(6uej^ '************************************************************************* Q-iBK*-w 'Lens thickness (Position of posterior lens surface) c;KMox/ '************************************************************************* Wt5pK[JV gr!!pp; parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9h+TO_T@F ?W dY{;& ' Delete any z-shift(s) Yx66Xy count = 0 k g(}%Ih While GetOperationCount(eID)>count ;fQIaE&H GetOperation eID, count, op +i /4G.=* If op.Type="ShiftZ" Then ,ZYPffu<* DeleteOperation eID,count Lf.Ia*R: count=count-1 1"t9x. End If F1}d@^K
7d count=count+1 .LM|@OeaD! Wend ijcF[bmE a$iDn_{ 'Set new z-shift Qo]qs+ op.Type = "ShiftZ" TrgKl2xfx op.val1 = tlens b5~p:f-&4B op.parent = parID 2.{zfr AddOperation eID, op Dg Rn^gL{Q Print "Set lens thickness = " & tlens u!HbS*jqq [@pumH> '************************************************************************* p")"t`k7 'Lens index of refraction FBrh!vQ< '************************************************************************* =(R3-['QIb eID = FindMaterial( "Lens" ) U0W2 GetModelMaterial eID, mat hZ|0<u jMX+uYx M mat.Nd = nlens @d8Nr: SetModelMaterial eID, mat zDm3$P= Print "Set lens index of refraction = " & nlens @ I&k|\ >`yRL[c; '************************************************************************* '19? 'Pupil diameter 8B "^}y\0 '************************************************************************* +~==qLsU eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) '"hSX= Y~r)WV!G 'Adjust pupil diameter (trimming volume inner hole) rNm_w>bq jW^]N$> SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ww+,GnV M`9|8f,!a ' Adjust pupil location to just in front of the lens oBnes* parID = FindFullName( "Geometry.Arizona Eye" ) =|fB":vk eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 5+b73R3r count = 0 0a!|*Z While GetOperationCount(eID)>count FLG{1dS GetOperation eID, count, op Vvv;m 5. If op.Type="ShiftZ" Then X_3hh} = DeleteOperation eID,count |~v2~
count=count-1 WFmW[< g End If 6@:<62!; count=count+1 !F Zg'
9 Wend ^%\MOjSN op.Type = "ShiftZ" J{5p4bkb op.val1 = taq-0.01 p9MJa[}V op.parent = parID 4,=;:#n,J AddOperation eID, op +sq_fd ;'D qjg Z Print "Set pupil diameter = " & pupilDiam #op0|:/N J9J/3O
Q= 'Update AZ Eye subassembly Description ssH[\i eID = FindFullName( "Geometry.Arizona Eye" ) v4X ` Ul* GetEntity eID, entity T;,,! entity.Description = "Accommodation = " & A & "D" m*lcIa SetEntity eID, entity )g^O'e=m On[yL$? Update V1Gnr~GM Print "DONE!" va"bw!zXo* SUvrOl
End Sub D mky!Cp g^jTdrW/s 如果屈光度是4,光瞳直径是4,则会输出如下数据: CFoR!r:X G2sj<F=AV Accommodation = 4 Diopters \0e`sOS`L Pupil Diameter = 4 mm
%z~kHL Set aqueous humor thickness = 2.81 :N_DJ51 Set anterior lens radius = 10.4 and conic constant = -2.375869 ^q|W@uG-( Set posterior lens radius = -4.424557 and conic constant = -3.081019 \W\*'C8q\ Set lens thickness = 3.927 3m & Set lens index of refraction = 1.42672 #\K"FE0PGz Set pupil diameter = 4 N&$ ,uhmO DONE! nuA
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