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简介 ^>k [T. w_\niqm<y 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。 ze,HNFg@> jQsucs5$h 模型 )+cP8$n6L wl5!f| 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。 3G5i+9Nt.L z@<`] Table 1. AZ眼睛模型的定义 H!oP!rzEo 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. vco:6Ab$ Fwho.R-. 光源 bU_9GGG| X "1q$xwc 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。 Xg.\B1d 8 +uOYNXsA hQl3F6-ud 图1. 光源和提示信息使用 E!3W_:Bs 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。 Mb?6c y[ Eiz\Nb 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。 (x?A#o>% $IB@|n 图2. 字母F光源的设定方法光 rq2XFSXn xNq&_oY7 图3. 字母F在视网膜上位置点列图 1Qf5H!5vx 视网膜的散射 #sNa}292" WWq)CwR 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。 <\Y>y+$3 cWh Aj>?_Q eFZ`0V0 图4. 视网膜朗伯散射设定 PO |p53 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 oPre$YT}h 0~n=|3*P u5T\_0 图5. 视网膜重点采样规格设定 #M{}Grg 脚本 f+L )x jd(=? !_ 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: G7zfyw}W "FG6R' 图6. 用户对话框的创建与编辑 a>""MC2 图7. 用户对话框编辑器 PjRKYa_U 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。 LH<--#K 余下的脚本计算与屈光度有关的所有参数。 5#WZXhlc} CEI#x~Oq 分析 mN~;MR; 5/neV&VcB 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 SM0= 0/-[k 图7. 字母F在视网膜上颜色分析 i-tX5Md| 脚本代码 d{9jd{
_#G qK(?\t$ Option Explicit 'Remove this to enable non-dimensioned variables to be used. Yxi.A$g c3K(mM: Dim entity As T_ENTITY '4N[bRCn Dim op As T_OPERATION i,b>&V/Y$ Dim mat As T_MODELMATERIAL (8H
"' Dim A As Double nFxogCn Dim pupilDiam As Double *B@<{x r Dim eID As Long kk^KaD4dA Dim parID As Long
) VJ| Dim count As Integer -+O8v;aC' Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double srg#<oH|{c Dim tlens As Double, nlens As Double eQzSWn[ Dim curv As Double, conic As Double +F+jC9j(< Dim ok As Long #gi&pR'$ bYowEzieF Sub Main t'R&$;z@b `?`\!uP" '用户输入对话框 ii{5z;I]X Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Eepy%-\ TextBox 220,21,40,21,.TextBox1 'default: 0 U_oMR$/Z Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 gIRFqEz@o OKButton 40,91,90,21 F<G.!Y8!& CancelButton 190,91,90,21 MUVp8!*@ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 okr'=iDg TextBox 220,49,40,21,.TextBox2 'default: 4 H-0deJ[> End Dialog bha_bj Dim dlg As UserDialog L3i\06M JnPA; 1@/ ok = Dialog (dlg) udW,
P %o*afd If ok=0 Then 'cancel button was pressed MhJq~G p
Print "Execution cancelled." ]Alu~ Dw End 0'aZ*ozk End If X~n Kuo #WfJz}P,! 'Assign accommodation and pupil diameter & use defaults if field left empty `Mp]iD{ If dlg.TextBox1 = "" Then l3(k A = 0 'Default accommodation
%~$4[,= Else 3$WK%"%T A = CDbl(dlg.TextBox1) N[r@Y{ End If X @r5^A[9 sveFxI If dlg.TextBox2 = "" Then 21w<8:Vg pupilDiam = 4 'Default pupil diameter ,!bOzth2>K Else ?Tb'J`MO pupilDiam = CDbl(dlg.TextBox2) B/pNM81( End If G}] ZZ yh lZdF Print " " @(Q4 Print "Accommodation = " & A & " Diopters" Gz^g!N[ Print "Pupil Diameter = " & pupilDiam & " mm" ib uA~\5 A\k-OP] ' Calculate new parameters with accommodation $"x(: taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness gy~M]u{ M>1V3sM Rant = 12.0 - 0.4*A 'Radius of anterior lens $c f?`k CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens dI'C[.zp[ }2DeqY Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \h_hd%'G CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens (?q]E$
@ vWzNsWPK"{ tlens = 3.767 + 0.04*A 'Lens thickness 0*q~(.>a RwT.B+Onuy nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction NL2n\%n b\H(Lq17 'Adjust parameters to account for accommodation E/AM<eN
s9O] tk '************************************************************************* Fv e,&~ 'Aqueous thickness (Position of Lens) ~+^,o_hT '************************************************************************* G{ F>=z"(l eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7|65;jm+ GetCustomElement eID, entity EYG&~a>L* IcaIB) parID = FindFullName( "Geometry.Arizona Eye" ) UDuKG\_J<y h_y<A@[P} ' Delete any shift(s) in z x{Gih1 count = 0 zCPjuS/~
Q While GetOperationCount(eID)>count C:gE
GetOperation eID, count, op Wpj.G If op.Type="ShiftZ" Then KLAnW# DeleteOperation eID,count +$8hTi, count=count-1 "B)DX*-\? End If :UFf6T? count=count+1 |%zhwDQ. Wend t}NxD`8 9n9/[?S 'Set new shift in w)DO"Z7 op.Type = "ShiftZ" nb?bx{M op.val1 = taq .[K{;^> op.parent = parID vP&*(WfO) AddOperation eID, op zIRa%%.i< Print "Set aqueous humor thickness = " & taq-0.55 ilFM+x@ {"4t`dM '************************************************************************* z XVQLz5 'Radius and conic constant of anterior lens 9x{T"' '************************************************************************* $Q]`+:g*} eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) +wT,dUin_< GetConic eID, entity, curv, conic \gIdg:"02 '90B),c{ SetConic eID, entity, 1/Rant, CCant iAup',AZg Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant li
NPXS+ MQ,$'Y5~H '************************************************************************* B[b'OtH 'Radius and conic constant of posterior lens ,0#OA*0B '************************************************************************* @JN%P}4) eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) FcfN]! GetConic eID, entity, curv, conic UP, 0`fh(y Gg,,qJO SetConic eID, entity, 1/Rpost, CCpost G)b ]uX Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost T5Pc2R }3)$aI_ '************************************************************************* >@]E1Qfe 'Lens thickness (Position of posterior lens surface) :5@7z9 > '************************************************************************* Lg9ktRKK |L]dJ< parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1
4(?mM3
,QG,tf? ' Delete any z-shift(s) )xTp7YnZ; count = 0 S0p]:r";x While GetOperationCount(eID)>count %tQIKjsVaY GetOperation eID, count, op 2hU4g
e?6 If op.Type="ShiftZ" Then b\^ Sz{ DeleteOperation eID,count }14.u&4 count=count-1 q{KRM\ooYs End If fI"`[cA"] count=count+1 V|b?H6Q Wend hA/FK ~(hmiNa; 'Set new z-shift {/B) YR op.Type = "ShiftZ" I-;JDC? op.val1 = tlens 5HOhk"
op.parent = parID (y(V,kXwa8 AddOperation eID, op i37W^9 R Print "Set lens thickness = " & tlens =YPWt>\a} ym ,S/Uz '************************************************************************* EH4WR/x 'Lens index of refraction Z39^nGO '************************************************************************* gB
kb0 eID = FindMaterial( "Lens" ) w(mn@Qc GetModelMaterial eID, mat ^Jc~G~x4* lkw[Z}\ mat.Nd = nlens F}.Af=<Q SetModelMaterial eID, mat " I _T Print "Set lens index of refraction = " & nlens 7a@V2cr@ =]7 \-- '************************************************************************* CWC*bkd5a 'Pupil diameter 's&Vg09D, '************************************************************************* ! '2'db eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ]~a!O #*Mk@XrV 'Adjust pupil diameter (trimming volume inner hole) QjZ}*p iB]kn(2C SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" YK}(VF?& 9N'$Y*. d< ' Adjust pupil location to just in front of the lens x`B:M7+\ parID = FindFullName( "Geometry.Arizona Eye" ) Tri.>@-u eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) [Q^kO; count = 0 br'~SXl
While GetOperationCount(eID)>count <GoE2a4Va GetOperation eID, count, op M{nz~W80 If op.Type="ShiftZ" Then `5!7Il DeleteOperation eID,count lg!1q8 count=count-1 A;Zg: End If ef,6>xv count=count+1 Z;%qpsq Wend f_z2d+ op.Type = "ShiftZ" =}Cb?C[; op.val1 = taq-0.01 RNi&OG( op.parent = parID 59EAqz[: AddOperation eID, op RmzK?muk '{7A1yJnY% Print "Set pupil diameter = " & pupilDiam xRaYm ^[id8 'Update AZ Eye subassembly Description x,p|n eID = FindFullName( "Geometry.Arizona Eye" ) kxf'_Nzy GetEntity eID, entity -Mv`|odY/ entity.Description = "Accommodation = " & A & "D" +;*])N%q SetEntity eID, entity F92n)*[ F htf4 Update } [75`pC~O Print "DONE!" ;9prsvf
pwu5Fxn) End Sub ~xHr/: x"N,oDs 如果屈光度是4,光瞳直径是4,则会输出如下数据: c)$/Uu :$94y{ Accommodation = 4 Diopters &"L3U Pupil Diameter = 4 mm g`1*p| Set aqueous humor thickness = 2.81 g@1MImc'! Set anterior lens radius = 10.4 and conic constant = -2.375869 M8g=t[\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 <'gCI Ia2 Set lens thickness = 3.927 O %)+ w Set lens index of refraction = 1.42672 H=wmN0s{< Set pupil diameter = 4 G=b`w;oL: DONE! mBnC]$<R aV>w($tdd _
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