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简介 %gQUog g!.piG| 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。 p>i8aN q{_ f" 模型 =''WA:,=h X- X`Z`o 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。 '7}2}KD a~J!G:( Table 1. AZ眼睛模型的定义 en/ h`h]h 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. 4x}U+1B Lq$ig8V:O7 光源 f _$hK9I |h%HUau 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。 tSux5yV v%c/eAF xAl8e
图1. 光源和提示信息使用 :iLRCK3C 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。 "G~!J\ Tr s2M+r) 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。 /qJC p![X .p.(
\5Fo 图2. 字母F光源的设定方法光 2 S~( P V?'p E 图3. 字母F在视网膜上位置点列图 \NMqlxp2 视网膜的散射
x`FTy&g +Adk1N8 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。 x/CM)!U) W!R0:- @"BhKUoV$K 图4. 视网膜朗伯散射设定 3!\h'5{ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 c-5AI{%bl6 %gs?~Xl)] [|YvVA 图5. 视网膜重点采样规格设定 M]p-<R\ 脚本 ,`RX~ H=C zwU[!i) 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: #R:&Irh .)$MZyo 图6. 用户对话框的创建与编辑 99`w'Nlk 图7. 用户对话框编辑器 U]gUGD!5x 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。 OJ"./*H 余下的脚本计算与屈光度有关的所有参数。 +v
3:\# wggB^ }~ 分析 _tX=xAO9 $[Z~BfSQ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 eUZk|be ?T_MP" 图7. 字母F在视网膜上颜色分析 #+p- 脚本代码 W90!*1 "^6Fh"] Option Explicit 'Remove this to enable non-dimensioned variables to be used. w&p(/y ~v;+-*t Dim entity As T_ENTITY -e}(\ Dim op As T_OPERATION $A9Pi"/*z Dim mat As T_MODELMATERIAL Q&vdBO/ Dim A As Double J<+f7L Dim pupilDiam As Double ?RS:I%bL Dim eID As Long z`t~N Dim parID As Long {pH# zs4Y Dim count As Integer YPI,u7- Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double fn,hP_ Dim tlens As Double, nlens As Double C0/^ 6Lu"o Dim curv As Double, conic As Double ZSK_Lux> Dim ok As Long d8vf
kVB z2t+1In, Sub Main Nj3iZD| -*4*hHmb '用户输入对话框 pXl[I; Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 6];3h>c]N TextBox 220,21,40,21,.TextBox1 'default: 0 cjPXrDl{\ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~`QoBZ.O& OKButton 40,91,90,21 y)&K9 I CancelButton 190,91,90,21 ;10YG6: Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 P'OvwA TextBox 220,49,40,21,.TextBox2 'default: 4 :=;{w~D End Dialog jhf3(hx&F Dim dlg As UserDialog El5} f4sl ;j/$%lC ok = Dialog (dlg) Y2QX< ^@AyC"K If ok=0 Then 'cancel button was pressed lP`BKc, Print "Execution cancelled." ebI2gEu;a End vuPNru" 2 End If $~.YB\3 9D1WUUa 'Assign accommodation and pupil diameter & use defaults if field left empty |K Rt$t If dlg.TextBox1 = "" Then C$6FI`J A = 0 'Default accommodation T9Q3I Else aqI"4v]~b A = CDbl(dlg.TextBox1) `"&Nw,C End If ft(o-f7, &N/t%q If dlg.TextBox2 = "" Then hk4t #Km pupilDiam = 4 'Default pupil diameter ? /z[Jx. Else ?$109wZ:9 pupilDiam = CDbl(dlg.TextBox2) \OVtvJV] End If i>YQ<A1 tj@(0}pi4 Print " " 0dC5
-/+ Print "Accommodation = " & A & " Diopters" s/IsrcfM Print "Pupil Diameter = " & pupilDiam & " mm" &R<aRE:+R :LNE?@ ' Calculate new parameters with accommodation 1]2]l*&3 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness - /\qGI "g^i% Rant = 12.0 - 0.4*A 'Radius of anterior lens $q@d.Z>; CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 2r!ltG3} qXW\/NT"p< Rpost = -5.224557 + 0.2*A 'Radius of posterior lens @Uez2? CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens JyMk @Y 0Xh_.PF tlens = 3.767 + 0.04*A 'Lens thickness 1W{N6+u *pJGp:{6V? nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction h.>SVQzU ^_bG{du 'Adjust parameters to account for accommodation dyWp'vCQs\ c,2& -T} '************************************************************************* g;63$_< 'Aqueous thickness (Position of Lens) kKSGC?d '************************************************************************* f"5O'QHGQK eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7a'yO+7-) GetCustomElement eID, entity $5&%X'jk #4'wF4DR@ parID = FindFullName( "Geometry.Arizona Eye" ) ls
5iE 13!@LbC ' Delete any shift(s) in z ! dzgi: count = 0 >s{I@#9 While GetOperationCount(eID)>count njy2pDC@ GetOperation eID, count, op Iy9hBAg\y If op.Type="ShiftZ" Then |qUGB.Q DeleteOperation eID,count NZq-%bE count=count-1 s7 "xDDV End If yXR1NYg count=count+1 MuY:(zC% Wend 'K,\ q`<:CfCt 'Set new shift in %hnBpz op.Type = "ShiftZ" c1'@_Is op.val1 = taq l'+3
6 op.parent = parID [MTd<@ AddOperation eID, op |RiJ>/MK\ Print "Set aqueous humor thickness = " & taq-0.55 QO'Hyf t i?6&4 '************************************************************************* uDDa>Ka#+ 'Radius and conic constant of anterior lens i<Vc~!pT '************************************************************************* +FTc/r eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 9* )&hhBs, GetConic eID, entity, curv, conic 6 Xvpk1 _
>OP SetConic eID, entity, 1/Rant, CCant RPz[3y Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 7]h %?W! y*i&p4Y* '************************************************************************* Pp8S\%z~h 'Radius and conic constant of posterior lens +vh|m5"7I7 '************************************************************************* S>yi D`v eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Xsq@E#@S GetConic eID, entity, curv, conic ob.<j ?Z#N9Z~\ SetConic eID, entity, 1/Rpost, CCpost Y
[`+7w Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost /Y7^!3uM /s\ mV '************************************************************************* +K4XMf 'Lens thickness (Position of posterior lens surface) bwsKdh '************************************************************************* YJJ1N/Z1 O*xx63%jR parID = FindFullName( "Geometry.Arizona Eye.Lens" ) hhTtxC<: ,MY7h8V/ ' Delete any z-shift(s) H%wB8Y
] count = 0 Cy~ IB [ While GetOperationCount(eID)>count o7) y~ ke GetOperation eID, count, op \QvGkcDc{ If op.Type="ShiftZ" Then ?XBdBR_"^ DeleteOperation eID,count ;KL7SM%g4 count=count-1 E'QAsU8pP End If FOTe,F.8 count=count+1 KYFKH+d>m Wend .hT>a< 0j$\k|xFXZ 'Set new z-shift 2.q Zs8& op.Type = "ShiftZ" 1b5Z^a<u op.val1 = tlens }je<^]a op.parent = parID /UCBoQ$/] AddOperation eID, op B"^j>SF Print "Set lens thickness = " & tlens noZbsI4 O=0p}{3l '************************************************************************* bfxE}> 'Lens index of refraction Y 6a`{' '************************************************************************* W5R/Ub@g eID = FindMaterial( "Lens" ) 3q]0gU&?? GetModelMaterial eID, mat I,?NYIG"( _H+]G"k/r mat.Nd = nlens o0H^J,6gV SetModelMaterial eID, mat -KiPqE%&G Print "Set lens index of refraction = " & nlens &[ })FI -)V0D,r$[ '************************************************************************* -X.#Y6( 'Pupil diameter 2q?/aw ;Z '************************************************************************* 2I.FSR_G? eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ` H'G"V 6#Vl3o(E| 'Adjust pupil diameter (trimming volume inner hole) a5a
;Fp `G\
qGllX SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }+,Q&]>~ i$Y#7^l%k ' Adjust pupil location to just in front of the lens M
Kyj<@[ parID = FindFullName( "Geometry.Arizona Eye" ) !wYN",R- eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) )."ob=m count = 0 iJ>=!Q While GetOperationCount(eID)>count iq;\}, GetOperation eID, count, op 9{pT)(Wnb If op.Type="ShiftZ" Then N8sT? DeleteOperation eID,count {v"f){ count=count-1 %['NPs%B End If a"( Ws]K count=count+1 1g;2e##) Wend Wv4$Lgr op.Type = "ShiftZ" 0#|Jhmv-zL op.val1 = taq-0.01 "aGmv9\ op.parent = parID S>lP?2J AddOperation eID, op z~H1f$} w-).HPe Print "Set pupil diameter = " & pupilDiam @&*TGU OTy!Q,0$. 'Update AZ Eye subassembly Description [}L?EM eID = FindFullName( "Geometry.Arizona Eye" ) 4MC]s~n GetEntity eID, entity
S'x ]c# entity.Description = "Accommodation = " & A & "D" W{NWF[l8O? SetEntity eID, entity XDK Me} ekx(i
QA Update <@J$hs9s Print "DONE!" 5<Kt"5Z%7 w,1N ;R& End Sub !.h{/37] r\m{;Z#LJm 如果屈光度是4,光瞳直径是4,则会输出如下数据: < F5VJ W6?=9].gc Accommodation = 4 Diopters RE!WuLs0" Pupil Diameter = 4 mm e N`+ r Set aqueous humor thickness = 2.81 DgEdV4@p Set anterior lens radius = 10.4 and conic constant = -2.375869 AQ-PHv Set posterior lens radius = -4.424557 and conic constant = -3.081019 [n9l[dN Set lens thickness = 3.927 *zRig|k !H Set lens index of refraction = 1.42672 RFw0u 0Nrz Set pupil diameter = 4 g}~s"Sz DONE! V lZ+x)E Od.@G ~ W[jg+| QQ:2987619807 jdG'sITv
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