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简介 8a9RML}G< 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。 W<NmsG})_g kg3ppt 模型 n>P!u71 a=+T95ulDy 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。 ^Gq5ig1rxy 5 [4Z=RP Table 1. AZ眼睛模型的定义 O%-h&C3 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. W/r^ugDV G
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'Ti1! 光源 b{RqwV5P 4\p-TPM 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。 'S?;J ,/ &x0C4Kh 4<.O+hS
图1. 光源和提示信息使用 6e .v&f7( 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。 Kd3QqVJBz1 }>&KUl 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。 ~Fw<eY o9Sn*p-. 图2. 字母F光源的设定方法光 &aPl`"j :[sOKV i 图3. 字母F在视网膜上位置点列图 z/1{OL 视网膜的散射 aI(>]sWJ gi]ZG 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。 |;u}sX1t9 =Ikg.jYq&F $
[7 Vgs 图4. 视网膜朗伯散射设定 ug*D52? 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。 o2=A0ogz? gLQ #4H
++8_fgM 图5. 视网膜重点采样规格设定 F98i*K`" 脚本 [$a<b/4 xd8
*<,Wj 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ['[KR
BJL :eOR-}p' 图6. 用户对话框的创建与编辑 ;;V\"7q' 图7. 用户对话框编辑器 ^Y04qeRd 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 *Oo &}oAj 余下的脚本计算与屈光度有关的所有参数。 S#8>ZwQ {J]-<:XD 分析 E'c%d[:H, -2i\G .,J 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ;/LD)$_ C+%K6/J( 图7. 字母F在视网膜上颜色分析 'r+PH*Mr 脚本代码 :\yc*OtX ~rv})4h Option Explicit 'Remove this to enable non-dimensioned variables to be used. %f&< wC ](K0Fwo`;" Dim entity As T_ENTITY $h28(K% Dim op As T_OPERATION PlCc8Zy Dim mat As T_MODELMATERIAL _:J*Cm[q Dim A As Double vR>o}%` Dim pupilDiam As Double v6uxxsI>Hm Dim eID As Long . L;@=Yg) Dim parID As Long ;sPzOS9 Dim count As Integer x&=9P e( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 4MW ]EQ- Dim tlens As Double, nlens As Double Zk?
= Dim curv As Double, conic As Double XnUO*v^] Dim ok As Long wW`}VKu o-eKAkh Sub Main Hl7:*]l7b 2KI!af[I '用户输入对话框 \u{8Bak0 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 YaY8 `M{ TextBox 220,21,40,21,.TextBox1 'default: 0 .mxTfP=9 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 @"|i"Hk^ OKButton 40,91,90,21 cHD%{xlb CancelButton 190,91,90,21 X-JV'KE}^z Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 K7`YJp`i TextBox 220,49,40,21,.TextBox2 'default: 4 .36^[Jsz": End Dialog 9=+-QdX+0] Dim dlg As UserDialog rwqv V^ H{fM%*w ok = Dialog (dlg) 7#2j>G{?]v UG[e//m If ok=0 Then 'cancel button was pressed Fu _@!K
Print "Execution cancelled." B0)]s<< End g]$
4~"|. End If Hs?zq ?m"|QS!!K 'Assign accommodation and pupil diameter & use defaults if field left empty 'Bq ZOZw If dlg.TextBox1 = "" Then Y=B3q8l5 A = 0 'Default accommodation yA7)Y})> Else <GIwRVCU A = CDbl(dlg.TextBox1) s&
yk End If GJQc!cqk 2x}6\t If dlg.TextBox2 = "" Then ,M6ZZ* ,e pupilDiam = 4 'Default pupil diameter ($!KzxF3 Else ]/dVRkZeAE pupilDiam = CDbl(dlg.TextBox2) Ruaur] End If sbsu(Sz+ f7<pEGb Print " " pSAR/':eg Print "Accommodation = " & A & " Diopters" 8X7{vN_3K Print "Pupil Diameter = " & pupilDiam & " mm" pGWA\}' y]
V1b{9p ' Calculate new parameters with accommodation r%=[},JQ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness pP/@ E5G{B'%j Rant = 12.0 - 0.4*A 'Radius of anterior lens `T WN^0!] CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens t#b0H)
[aW = Rpost = -5.224557 + 0.2*A 'Radius of posterior lens UuJjO^t CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens RA1yr+) x8N|($1 tlens = 3.767 + 0.04*A 'Lens thickness -l*g~7|j grcbH nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ;Ss$2V'a \2!!L=&4G 'Adjust parameters to account for accommodation 'Cg{_z.~c Tj`5L6N;8 '************************************************************************* _PXdzeI. 'Aqueous thickness (Position of Lens) dbF M,"^ '************************************************************************* l},NcPL` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {]/8skov5] GetCustomElement eID, entity ;5S}~+j Y& {|Sw7? parID = FindFullName( "Geometry.Arizona Eye" ) d>i13dAI l\Ftr_Dk ' Delete any shift(s) in z Jh@_9/? count = 0 q~Jq/E"f While GetOperationCount(eID)>count Dz&+PES_k GetOperation eID, count, op Fwfo2 If op.Type="ShiftZ" Then 9O98Q6-s DeleteOperation eID,count M7dU@ Ag count=count-1 3#GqmhqKDk End If isK;mU?< count=count+1 P%>?[9!Nt Wend XW~bu2%{7" *"9<TSU%m 'Set new shift in (4+1lOd op.Type = "ShiftZ" }C#3O{5 op.val1 = taq i$Z#9M9 op.parent = parID ygViPz<J AddOperation eID, op VXKT\9g3A Print "Set aqueous humor thickness = " & taq-0.55 b:MG@Hxc 7TWNB{
K_ '************************************************************************* &O1v,$}' 'Radius and conic constant of anterior lens Y E1Hpeb '************************************************************************* 284zmZZ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) +=fKT,-*G! GetConic eID, entity, curv, conic ?d-70pm v 81rfB5 SetConic eID, entity, 1/Rant, CCant WH$HI/%*m Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant .iv3q?8.b ?pwE0N^ '************************************************************************* U[8{_h<# 'Radius and conic constant of posterior lens ZF{~ih*^u '************************************************************************* lOerrP6f( eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) v'ay.oVzw GetConic eID, entity, curv, conic wK*PD&nN j%tEZ"H SetConic eID, entity, 1/Rpost, CCpost b|?;h21rG Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #Z9L_gDp 2$0)?ZC?= '************************************************************************* Spj9H ?m 'Lens thickness (Position of posterior lens surface) la,
h '************************************************************************* U{#xW aiux^V parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }~I|t!GL ]Yz'8uts ' Delete any z-shift(s) BQNp$]5s count = 0 ~j&?/{7I While GetOperationCount(eID)>count DeQDH5X" GetOperation eID, count, op %$9bce-fcG If op.Type="ShiftZ" Then w|Qd` DeleteOperation eID,count _z"o1`{w count=count-1 -!dQ)UEP End If &]NZvqdj.] count=count+1 uxDLDA$; Wend HeS'~Z$ rc{o?U'^- 'Set new z-shift \E
hr@g op.Type = "ShiftZ" =AkX4k op.val1 = tlens kk_zVrQ< op.parent = parID 5gK~('9'?1 AddOperation eID, op 2d&^Sp&11 Print "Set lens thickness = " & tlens ?r3e*qJGn
GX38~pq '************************************************************************* ^H=o3#P~L 'Lens index of refraction UR:n5V4 '************************************************************************* s]x2DH+_ eID = FindMaterial( "Lens" ) +by| GetModelMaterial eID, mat ;=p;v .l ^!uO(B& mat.Nd = nlens i+ic23$4M SetModelMaterial eID, mat 78w4IICk Print "Set lens index of refraction = " & nlens ~@fanR = SALCuo"L '************************************************************************* 7}07Pit 'Pupil diameter 7'UWRRsxUF '************************************************************************* ?h&l
tD eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Wa/geQE1< _z%\'(l+ 'Adjust pupil diameter (trimming volume inner hole) !Bncx`pl hvcR.f)C> SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Esa6hU# ,whM22Af~{ ' Adjust pupil location to just in front of the lens f>4+,@G parID = FindFullName( "Geometry.Arizona Eye" ) 't ;/,+:V eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) WiwwCKjSa count = 0 NIL^UN} While GetOperationCount(eID)>count pfNThMf GetOperation eID, count, op #nDL If op.Type="ShiftZ" Then 98 ayA$ DeleteOperation eID,count KZ
@l/s count=count-1 -%N}A3m!5 End If '[xut1{ count=count+1 9Mut p4# Wend 9XY|V<} op.Type = "ShiftZ" [L)V(o)v op.val1 = taq-0.01 0=gF6U op.parent = parID -MsuBf AddOperation eID, op 81cv:|" eKS:7:X Print "Set pupil diameter = " & pupilDiam R+x%r&L5F {<~s&EPd 'Update AZ Eye subassembly Description 0sY#MHPT& eID = FindFullName( "Geometry.Arizona Eye" ) Mof)2Hbd: GetEntity eID, entity t2m ^ entity.Description = "Accommodation = " & A & "D" ws na5D6i
SetEntity eID, entity 5auL<Pq yqC+P Update =+k&&vOAn Print "DONE!" E^'C" 6 ` 3vN R" End Sub 18J.vcP j(UX
6lR 如果屈光度是4,光瞳直径是4,则会输出如下数据: M_|M&lR> ~rQ4n9G Accommodation = 4 Diopters av7q>NEZ!1 Pupil Diameter = 4 mm l6yB_M Set aqueous humor thickness = 2.81 ?%_]rr9 Set anterior lens radius = 10.4 and conic constant = -2.375869 gE-lM/w Set posterior lens radius = -4.424557 and conic constant = -3.081019 $Cut Set lens thickness = 3.927 xu0;a Set lens index of refraction = 1.42672 s}z(|IrH Set pupil diameter = 4 (0O`A~M3 DONE! #wq;^)> !tm|A`<g#< (文章来源:讯技光电)
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