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简介 zaf%% 5Jlz$]f 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 H0_hQ:K kTt;3 Ia 模型 dr'# y7txIe!<5 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 22)2olU UF3WpA Table 1. AZ眼睛模型的定义 "JT R5;`w 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. KpA
iKe QG$LbuZ` 光源 s8Xort& 0ZlF#PJA 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。 y".uu+hL` :D`ghXj 17
Hdj 图1. 光源和提示信息使用 JL=MlZ 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。 bzz=8n =Wn11JGh 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。 tT>~;l%' LzEs_B=9 图2. 字母F光源的设定方法光 wz3BtCx 3@f@4t@5V 图3. 字母F在视网膜上位置点列图 ?KDI'>"-v 视网膜的散射 RBd{1on #p_3j 0S 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。 -Zh`h8gX bsO78a~=P pn<M`,F~q 图4. 视网膜朗伯散射设定 }J$Q 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 A
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图5. 视网膜重点采样规格设定 %{Ez0XwGCn 脚本 )o-rg
I'%vN^e^ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示:
Gqvj !)FM/Xj,o 图6. 用户对话框的创建与编辑 f^\qDvPur 图7. 用户对话框编辑器 `Hld#+R 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Ju4={^# 余下的脚本计算与屈光度有关的所有参数。 L?T%;VdG'> xj~5/)XX|X 分析 :yO.Te
F ve;#o< 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ="hh=x.5J eAR]~
NiW 图7. 字母F在视网膜上颜色分析 9&a&O
Z{ 脚本代码 U2l7@uDr; AC:cV=' Option Explicit 'Remove this to enable non-dimensioned variables to be used. m08:EXP B/u0^! Dim entity As T_ENTITY _PUgK\ Dim op As T_OPERATION ASME~]]? Dim mat As T_MODELMATERIAL \}[{q Dim A As Double )D?\ru H Dim pupilDiam As Double qP@d)XRQ Dim eID As Long @LZ'Qc
}@ Dim parID As Long X~wkqI#d%E Dim count As Integer %5.aC|^} Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double }#va#Nb(, Dim tlens As Double, nlens As Double Y?G\@6 Dim curv As Double, conic As Double B@XnHh5y Dim ok As Long UZ#Yd|'PD z=C'qF` Sub Main H=b54.J8& z9OhY]PPF '用户输入对话框 Rrh?0qWs Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 mkH{%7n TextBox 220,21,40,21,.TextBox1 'default: 0 U"\$k& Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 X-,scm OKButton 40,91,90,21 :KY920/, CancelButton 190,91,90,21 ernZfd{H Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 jzCSxuZ7O TextBox 220,49,40,21,.TextBox2 'default: 4 evOyTvc End Dialog P6q`i< Dim dlg As UserDialog GPP{"6q5' G=?2{c}U ok = Dialog (dlg) &-^|n*=g6 }NX9"}/ If ok=0 Then 'cancel button was pressed ti6\~SY Print "Execution cancelled." "";[U End .u[hK End If C/AqAW1
4wfT8CL 'Assign accommodation and pupil diameter & use defaults if field left empty RW19I,d If dlg.TextBox1 = "" Then N0APX4j A = 0 'Default accommodation 2E]SKpJ Else &%3$zgvR A = CDbl(dlg.TextBox1)
Z|zyO- End If M->/vi pZ4]KxX@ If dlg.TextBox2 = "" Then `@. pupilDiam = 4 'Default pupil diameter 7)iB6RBK Else P%HvL4R pupilDiam = CDbl(dlg.TextBox2) Z#H] yG End If MLD-uI10{ pbg[\UJyd Print " " t\YN\`XD Print "Accommodation = " & A & " Diopters" 9nW/pv Print "Pupil Diameter = " & pupilDiam & " mm" !=%E&e] UG)J4ZX ' Calculate new parameters with accommodation |.kYomJ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness dV+%x"[: 1O" Mo Rant = 12.0 - 0.4*A 'Radius of anterior lens #XSs.i{ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens B<)c{kj r0
%WGMk2 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 43_;Z| T CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens QEd>T"@g ^(,qkq'u
D tlens = 3.767 + 0.04*A 'Lens thickness m$glRs
@ GS),rNBur nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction QiDf,$t|, MD ETAd 'Adjust parameters to account for accommodation FFE IsB"9 o80?B~o '************************************************************************* 8NY$Iw 'Aqueous thickness (Position of Lens) ;Y:_}kN8_ '************************************************************************* j9)WInYc: eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %3v:c|r GetCustomElement eID, entity $|0_[~0-n <PBrW#:' parID = FindFullName( "Geometry.Arizona Eye" ) 3&*_5<t\X Z+jgFl
4 ' Delete any shift(s) in z ?_S f count = 0 'EsN{.l? While GetOperationCount(eID)>count z'cK,psq( GetOperation eID, count, op h@nNm30i If op.Type="ShiftZ" Then +(>!nsf DeleteOperation eID,count -w8c;5X count=count-1 i21ybXA=Z End If K@ZK@++ count=count+1 lZyxJDZ A Wend e;LJdd 'G3;!xk$ 'Set new shift in UzLe#3MU op.Type = "ShiftZ" q2qbbQ6H op.val1 = taq 4 [@`j{ op.parent = parID fC!]M hA"i AddOperation eID, op }lN@J,q Print "Set aqueous humor thickness = " & taq-0.55 ,`<w# V{51wnxT '************************************************************************* [3Qu @;"& 'Radius and conic constant of anterior lens AEjkqG4qv '************************************************************************* NzRpI5\. eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -8-BVU GetConic eID, entity, curv, conic Ift @/A Q4YIKNN|7 SetConic eID, entity, 1/Rant, CCant wd4wYk\ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant WM8
Ce0E vfW '************************************************************************* yHvF"4] 'Radius and conic constant of posterior lens /.leY$ '************************************************************************* D@[Mk"f eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 2LpJ xV GetConic eID, entity, curv, conic KH4
5A'o .A;D-"! SetConic eID, entity, 1/Rpost, CCpost n<C4-'^U[a Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ],rtSUO b>R/=tx '************************************************************************* M[wd.\
% 'Lens thickness (Position of posterior lens surface) 9S"c-"y\# '************************************************************************* zB 6u%u WR fV[(s7vW parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }F=+*-SYZ !P*1^8b`f ' Delete any z-shift(s) v634{:'e count = 0 d8 1u While GetOperationCount(eID)>count EC6)g;CO GetOperation eID, count, op ]e0yC If op.Type="ShiftZ" Then h-rPLU;Bw DeleteOperation eID,count ;g[C=yhK`C count=count-1 w#v8a$tT End If ,Lt+*!;m count=count+1 zo*YPDEm" Wend mmC&xZ5f P19nF[A 'Set new z-shift p"9a`/ op.Type = "ShiftZ" 1( V>8}zn op.val1 = tlens &V;^xMO! op.parent = parID ;k6>*wFl|! AddOperation eID, op v3 $+l1 Print "Set lens thickness = " & tlens >h3r\r\n3 v?b9TE '************************************************************************* VV/6~jy0 'Lens index of refraction m&)5QX '************************************************************************* pDr%uL eID = FindMaterial( "Lens" ) cr!6qv1 GetModelMaterial eID, mat 74*1|S< Vl;GQe mat.Nd = nlens K-Bf=7F, SetModelMaterial eID, mat b2;+a( Print "Set lens index of refraction = " & nlens >t2E034_ Ux_ tHyc/ '************************************************************************* 19od#
d3+ 'Pupil diameter neW_mu;~Z '************************************************************************* e(/~;"r{ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %GUu{n<6 A|sTnhp~ 'Adjust pupil diameter (trimming volume inner hole) oY@4G)5 j-2`yR SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" wN,DTmtD
K5U=%z ' Adjust pupil location to just in front of the lens FY%v \`@1* parID = FindFullName( "Geometry.Arizona Eye" ) y7#$:+jQv eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) b#p)bcz!I count = 0 @NMFurm While GetOperationCount(eID)>count ]PVPt,c GetOperation eID, count, op ]=v_u9; If op.Type="ShiftZ" Then mG[S"?C DeleteOperation eID,count @vWC "W count=count-1 \tFg10 End If d#:&Uw count=count+1 3nt&Sf Wend [KXxn>n op.Type = "ShiftZ" SX)giQLU op.val1 = taq-0.01 Vx_lI
#3 op.parent = parID |He,v/r AddOperation eID, op 7
}`c:u~j |ubDudzp Print "Set pupil diameter = " & pupilDiam D$g|f[l G1MuH%4 'Update AZ Eye subassembly Description ?vL\VI9 eID = FindFullName( "Geometry.Arizona Eye" ) )5Yv7x(K GetEntity eID, entity )'8DK$. entity.Description = "Accommodation = " & A & "D" 0;z-I"N SetEntity eID, entity y3T-^ dj*%^cI Update t1p} Print "DONE!" xz#;F ,`ZR zI/)#^ SQ End Sub SdhdXVZ ,]@ K6 如果屈光度是4,光瞳直径是4,则会输出如下数据: I}/o`oc {GDMix Accommodation = 4 Diopters dsP|j(y Pupil Diameter = 4 mm 9`}Wp2 Set aqueous humor thickness = 2.81 UJG)-x Set anterior lens radius = 10.4 and conic constant = -2.375869 Z qX U Set posterior lens radius = -4.424557 and conic constant = -3.081019 FUzIuz 6 Set lens thickness = 3.927 6GCwc1g Set lens index of refraction = 1.42672 BQVpp,] Set pupil diameter = 4 }OO(uC2 DONE!
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