|
|
简介 5avO48;Vc 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。 (Pd>*G\ X2[cR;;' 模型 CiuN26> !d\GD8|4 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。 uE j6A 9ojhI=: Table 1. AZ眼睛模型的定义 Z-|C{1}A 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. .LhmYbQ2WE !P$xh 光源 Bs?F*,zDJ L_mqC(vn 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 2-0cB$W+ }NCvaO ?vFh)U 图1. 光源和提示信息使用 05B+WJ1 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。 BA-nxR MjB[5:s 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。 kW&Z%k 3+3m`%G 图2. 字母F光源的设定方法光 Q~JKKq 1`lFF_stkP 图3. 字母F在视网膜上位置点列图 ok[=1gA#h 视网膜的散射 9M]"%E!s suFOc 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。 3|Sy'J0'K #<Nvy9 A.9'pi'[9Q 图4. 视网膜朗伯散射设定 %uVJLz 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。 ==1/N{{R ;Ia1L{472m Pki4wDCTW 图5. 视网膜重点采样规格设定 %:KV2GP 脚本 rs Uw(K^ &hN&nH"PC 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: ;-pvc<_c< WWW#s gM% 图6. 用户对话框的创建与编辑 \t# 9zn> 图7. 用户对话框编辑器 Gr$*t,ZW 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 M#]|$\v( 余下的脚本计算与屈光度有关的所有参数。 R.IUBw5;/ %K'*P56 分析 gH^$Y~Lx Z,!Xxv;4 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 1 {x~iZa ASZ5;N4u 图7. 字母F在视网膜上颜色分析 KV}U{s+U8 脚本代码 b+].Uc hYc{9$ Option Explicit 'Remove this to enable non-dimensioned variables to be used. .xkV#ol BrH;(*H)8 Dim entity As T_ENTITY I"32[?0
(; Dim op As T_OPERATION xPMyG); Dim mat As T_MODELMATERIAL P^3m:bE] Dim A As Double ]Wd`GI Dim pupilDiam As Double I49l2> Dim eID As Long 9LO.8Jy Dim parID As Long %C`'>,t> Dim count As Integer `3y!XET Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double cbCE
$ Dim tlens As Double, nlens As Double M=[q+A Dim curv As Double, conic As Double `x$}~rP&)! Dim ok As Long e*2&s5 #RT .\~P -{Hd Sub Main 8#]7`o NnLhJPh '用户输入对话框 >}DjHLTW\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 zz 'dg-F TextBox 220,21,40,21,.TextBox1 'default: 0 '+!S|U,{ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {8#N7(%z OKButton 40,91,90,21 $;2eH CancelButton 190,91,90,21 ))IgB).3M Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 =F%wlzF: TextBox 220,49,40,21,.TextBox2 'default: 4 Qw<kX*fxrI End Dialog X}j'L&{F@ Dim dlg As UserDialog I*W9VhIOV -S,ir ok = Dialog (dlg) Ukx/jNyYv l0caP( If ok=0 Then 'cancel button was pressed 1x\VdT Print "Execution cancelled." zh^jWu End we\b] End If ~w1{zxs "6E1W,|{ 'Assign accommodation and pupil diameter & use defaults if field left empty nI*(a: If dlg.TextBox1 = "" Then n=G>y7b A = 0 'Default accommodation RUS7Z~5 Else 9xK4!~5V A = CDbl(dlg.TextBox1) mI7rx`4H End If Fp5NRM*-! iM/*&O} If dlg.TextBox2 = "" Then ayH%
qp pupilDiam = 4 'Default pupil diameter mo|PrLV Else EtR@sJ< pupilDiam = CDbl(dlg.TextBox2) xxLgC;>[ End If h\=p=M ]Z.<c$ Print " " ?GUz?'d Print "Accommodation = " & A & " Diopters" }RA3$%3 Print "Pupil Diameter = " & pupilDiam & " mm" Bbl)3$`, Y( 1L>4 ' Calculate new parameters with accommodation Et}C`vZ+Ve taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness HzD> -f `R=a@DQ Rant = 12.0 - 0.4*A 'Radius of anterior lens 23}BW_m CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens P~Te+ -jX} YQ 8j Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ~T>jBYI0 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens nr<WO~Xw~ RwAbIXG{0 tlens = 3.767 + 0.04*A 'Lens thickness aCU7w5 x{NNx:T1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ><;l:RGK| A*7Io4e! 'Adjust parameters to account for accommodation qJ{r!NJJ
8 f?=r3/AO '************************************************************************* c&7Do} 'Aqueous thickness (Position of Lens) JCw{ ?^F" '************************************************************************* WFU?o[k-O eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l zfD)TWb GetCustomElement eID, entity _`bS[%CJ {B FT parID = FindFullName( "Geometry.Arizona Eye" ) JqI6k6~Q^ v87$NQvwQ ' Delete any shift(s) in z M1AZ}bc0] count = 0 6}VUD
-}B While GetOperationCount(eID)>count .9T.3yQ GetOperation eID, count, op o &BPG@n If op.Type="ShiftZ" Then "n{9- VEmN DeleteOperation eID,count YPF&U4CN count=count-1 x @1px&^ End If +M44XhT count=count+1 KY4d+~2 Wend y#]}5gJ gB(9vhj$ 'Set new shift in -Bo86t)F op.Type = "ShiftZ" <A#5v\{.;~ op.val1 = taq IXGW2z; op.parent = parID -M"IVyy@ AddOperation eID, op E4Y"X Print "Set aqueous humor thickness = " & taq-0.55 w) =eMdj\o E^b
pckP '************************************************************************* o;ik Z*+* 'Radius and conic constant of anterior lens +VSZhg,Np8 '************************************************************************* ?Wwh
_TO eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) =y?#^ GetConic eID, entity, curv, conic _FL<egK f"Ost;7zg SetConic eID, entity, 1/Rant, CCant )r ULT$;i@ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ^[ET&" Y{,2X~ 7 '************************************************************************* j h;
9
[ 'Radius and conic constant of posterior lens ^fkCyE;= '************************************************************************* n4^*h4J7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) N1PECLS? GetConic eID, entity, curv, conic M[A-1]' 0r1g$mKb SetConic eID, entity, 1/Rpost, CCpost Oz:D.V
3~ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost JYPxd~T/- gzor%)C '************************************************************************* ft{W/ * +_ 'Lens thickness (Position of posterior lens surface) ]x1p!TSU '************************************************************************* CNut{4 %>i@F=O2< parID = FindFullName( "Geometry.Arizona Eye.Lens" ) rqF"QU= l /E)9v$! ' Delete any z-shift(s) *yrnK3 count = 0 u0xQ;BQ While GetOperationCount(eID)>count 6A}eSG3 GetOperation eID, count, op xFOBF") If op.Type="ShiftZ" Then 1:_=g #WH DeleteOperation eID,count }xqXd%uz count=count-1 u2 7S%2P End If Z)NrhJC count=count+1 G=1m]>I8 Wend 26M~<Ic "r@G@pe 'Set new z-shift H-185]7 op.Type = "ShiftZ" /M:H9Z8! op.val1 = tlens w}d}hI op.parent = parID Y:wF5pp; AddOperation eID, op f7Zf}1| Print "Set lens thickness = " & tlens &RWM<6JP e|VJ9|;3 '************************************************************************* Ee8-- 'Lens index of refraction 90p3V\LO '************************************************************************* 82|q7*M*. eID = FindMaterial( "Lens" ) `0?^[;[u[ GetModelMaterial eID, mat B3Mx,uXT\ 0rcjorWI mat.Nd = nlens u^l*5F%DK SetModelMaterial eID, mat y<|)'( Print "Set lens index of refraction = " & nlens $Buf#8)F* QTYYghz '************************************************************************* qp\BV #E 'Pupil diameter X($6IL6m '************************************************************************* vb
%T7 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ?ZaD=nh$mK v{.\iIg N 'Adjust pupil diameter (trimming volume inner hole) o_O+u%y @HvScg*Y SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" {|XQO'Wg z>|)ieL ' Adjust pupil location to just in front of the lens (`pNXQ0n parID = FindFullName( "Geometry.Arizona Eye" ) WO@H* eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) [^M|lf count = 0 izf~w^/ While GetOperationCount(eID)>count 7 W{~f?Sh GetOperation eID, count, op O~6Q;q P If op.Type="ShiftZ" Then .EG*+, DeleteOperation eID,count n$YE !D' count=count-1 P_}/#N{C End If p qeL%="p; count=count+1 b_l3+'#ofM Wend ]H+{eJB7O op.Type = "ShiftZ" Xem5@
(u op.val1 = taq-0.01 <m0{'xw op.parent = parID uB;_vC AddOperation eID, op )\0q_a TP{Gt.e Print "Set pupil diameter = " & pupilDiam um[!|g/ (]XbPW 'Update AZ Eye subassembly Description +zsZNJ(U eID = FindFullName( "Geometry.Arizona Eye" ) xs%LRF#u GetEntity eID, entity uY;R8CiD entity.Description = "Accommodation = " & A & "D" G?/c/r G SetEntity eID, entity w;+ br +T2HE\ Update B+Z13;}B Print "DONE!" k2p'G')H HIGNRm End Sub q{E"pyt36R PrSkHxm 如果屈光度是4,光瞳直径是4,则会输出如下数据: 4P%m>[ xnbsg!`;7W Accommodation = 4 Diopters @rwU 1T33 Pupil Diameter = 4 mm DjwQ`MA Set aqueous humor thickness = 2.81 c
0-w6 Set anterior lens radius = 10.4 and conic constant = -2.375869 sofu Set posterior lens radius = -4.424557 and conic constant = -3.081019 8%ik853` Set lens thickness = 3.927 P'tMu6+) Set lens index of refraction = 1.42672 Pz@/|&] Set pupil diameter = 4 94{)"w] DONE! =VSkl;(O /.$L"u (文章来源:讯技光电)
|