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简介 CdQ!GS<'y /x$ nje,. 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。 D,feF9 7:1Lol-V 模型 5j(k:a+!H HZge!Yp< 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。 i/4>2y9/F4 &8lZNv8;(p Table 1. AZ眼睛模型的定义 l_p2Riv 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. i_%_ x* ":ue-=&M 光源 rILYI;'o g-
gV2$I 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 02^ rV*re 4r}51 N\ (9a^$C* 图1. 光源和提示信息使用 @ 6vIap| 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。 XL^GZ 2+XAX:YD 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。 $UwCMPs X Zh~'9 JH 图2. 字母F光源的设定方法光 5H^(2w z{QqY.Gu{G 图3. 字母F在视网膜上位置点列图 GbI/4<)l} 视网膜的散射 gbA_DZ %N._w!N<5n 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。 $&c*'3 XCQs2CHt 9 68Ez
图4. 视网膜朗伯散射设定 @0''k 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 SXh-A1t =3P)q" TWTb?HP 图5. 视网膜重点采样规格设定 m&3xJuKih 脚本 i%?* @uj flx(HJK 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: "AqB$^S9t DEgXQ[ 图6. 用户对话框的创建与编辑 Ewz!O` 图7. 用户对话框编辑器 n$R)>nY 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 A#,ZUOPGH 余下的脚本计算与屈光度有关的所有参数。 c+ie8Q! 2\$oV 分析 %BODkc Zh ca9X19NG 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 sLk-x\P]| DY*N|OnqJ 图7. 字母F在视网膜上颜色分析 ]?4hyN 脚本代码 |.dRily+ 6S#Cl>v Option Explicit 'Remove this to enable non-dimensioned variables to be used. l[J8!u2Xp i6Gu@( 8Q Dim entity As T_ENTITY /-s6<e! Dim op As T_OPERATION cMIEtK` Dim mat As T_MODELMATERIAL Z_NCD`i; Dim A As Double xIn:ZKJ' Dim pupilDiam As Double K=&>t6s< Dim eID As Long \U_@S. Dim parID As Long y();tsWqc Dim count As Integer Hn:Crl y# Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]M3yLYK/P Dim tlens As Double, nlens As Double %so]L+r2! Dim curv As Double, conic As Double %iB,IEw Dim ok As Long l^}c! 2g<Xtt7+o Sub Main EQ_aa@M7 ;*J '用户输入对话框 7>RY/O;Z, Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 F'Z,]b'st3 TextBox 220,21,40,21,.TextBox1 'default: 0 v:#tWEbo- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 AXB7oV,xt OKButton 40,91,90,21 uAk.@nfiEv CancelButton 190,91,90,21 7EJ+c${e.- Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 X>^fEQq" TextBox 220,49,40,21,.TextBox2 'default: 4 =~gvZV-< End Dialog 6\t@)=C,Q Dim dlg As UserDialog Y:`&=wjP~ /wv0i3_e
ok = Dialog (dlg) '"Nr, vQo m {}Lm)M If ok=0 Then 'cancel button was pressed jiGTA:v Print "Execution cancelled." y7<|_:00 End Wn6Sn{8W{ End If Gm`8q}<I l-3~K-k<@ 'Assign accommodation and pupil diameter & use defaults if field left empty HZOMlOZ If dlg.TextBox1 = "" Then +T+#q@ A = 0 'Default accommodation Rb;'O89Hj@ Else @VI@fN A = CDbl(dlg.TextBox1) EX"yxZ~ End If 4Tc~b3\!Y -g<oS9 If dlg.TextBox2 = "" Then >mkFV@` pupilDiam = 4 'Default pupil diameter )5H?Vh>36 Else {{1G`;|v9 pupilDiam = CDbl(dlg.TextBox2) ?A0)L27UE& End If 8XaQAy%d] _v:SP
L U Print " " $Kd>:f=A Print "Accommodation = " & A & " Diopters" u@^LW<eD Print "Pupil Diameter = " & pupilDiam & " mm" 4e BLFdHB.$T ' Calculate new parameters with accommodation bK7J} 8hH taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness bd`P0f? VaPG-n>Vf Rant = 12.0 - 0.4*A 'Radius of anterior lens V~#tuv CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens _dU\JD 4z)]@:`}z Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 0}9h]X' CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens sRfcF`7 r<\u6jF tlens = 3.767 + 0.04*A 'Lens thickness U!]dEW|G (%9$! v{3 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 1*7@BP5 )}vl\7= 'Adjust parameters to account for accommodation 1x^GWtRp V6Dbd"
i9 '************************************************************************* 8k79&| 'Aqueous thickness (Position of Lens) 4K74=r),i '************************************************************************* fy$1YI>!Q eID = FindFullName( "Geometry.Arizona Eye.Lens" ) !9x} GetCustomElement eID, entity ?ubro0F: =M-p/uB] parID = FindFullName( "Geometry.Arizona Eye" ) =c7;r]Ol 'q.!|G2U ' Delete any shift(s) in z t<qiGDJ<d count = 0 7z-[f'EIUI While GetOperationCount(eID)>count ,?3G;- GetOperation eID, count, op
5dg(e3T If op.Type="ShiftZ" Then adw2x pj DeleteOperation eID,count 4P0}+ count=count-1 0YHFvy) End If Pc9H0\+Xk count=count+1 _f{{( 7 Wend e(yh[7p= 0$njMnB2l 'Set new shift in F[0]/ op.Type = "ShiftZ" OJxl<Q=z op.val1 = taq 9FX-1,Jx op.parent = parID ~XIb\m9H AddOperation eID, op $8FUfJ1@ Print "Set aqueous humor thickness = " & taq-0.55 /O9EQ Pm( @XVTU '************************************************************************* cnLro 'Radius and conic constant of anterior lens Wjc'*QCPl '************************************************************************* tVjsRnb{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) d'2A,B~_* GetConic eID, entity, curv, conic (w{j6).3Dj y}H!c; SetConic eID, entity, 1/Rant, CCant qWw=8Bq Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant YzWz| Q.[0ct '************************************************************************* (#'>(t(4 'Radius and conic constant of posterior lens 3sk9`=[{$ '************************************************************************* *`U~?q} eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) rs.)CMk53 GetConic eID, entity, curv, conic 'Vbi VLWD UI#h&j5pW SetConic eID, entity, 1/Rpost, CCpost w(rE`IgW Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost fZ. ONq Q20%"&Xp] '************************************************************************* _g.{MTQ 'Lens thickness (Position of posterior lens surface) $u.z*b_yy '************************************************************************* 1"g<0
W xfQ1T)F3g parID = FindFullName( "Geometry.Arizona Eye.Lens" ) AR=]=8 $C\BcKlmv ' Delete any z-shift(s) yjAL\U7`T count = 0 8_8l.!~ While GetOperationCount(eID)>count Vc2`b3"Br GetOperation eID, count, op A's{j7 If op.Type="ShiftZ" Then Ned."e DeleteOperation eID,count =}*0-\QG count=count-1 Uv.)?YeGh End If pUTr!fR count=count+1 "fI6Cpc Wend d5.4l&\u 68
sB)R 'Set new z-shift w@b)g op.Type = "ShiftZ" yw!{MO op.val1 = tlens Fp:'M X op.parent = parID E3i4=!Y AddOperation eID, op w &(ag$p' Print "Set lens thickness = " & tlens _^;Z~/. FtZ?C@1/ '************************************************************************* T|p"0b A 'Lens index of refraction ""H?gsL[ '************************************************************************* q@&6#B eID = FindMaterial( "Lens" ) H. c7Nle GetModelMaterial eID, mat sRW<me; 1,~D4lD| mat.Nd = nlens OPi0~s SetModelMaterial eID, mat =WLY 6)]A Print "Set lens index of refraction = " & nlens Gq6*SaTk \8
":]EU '************************************************************************* R=dC4; 'Pupil diameter JLYi]nZ '************************************************************************* U(Zq= M eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6mE\OS-I d1*<Ll9K 'Adjust pupil diameter (trimming volume inner hole) TV:9bn?r) n?Q|)2 2 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" >7FHo-H/T 2T1q?L?] ' Adjust pupil location to just in front of the lens OVJ0}5P* parID = FindFullName( "Geometry.Arizona Eye" ) 2/f}S?@ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) : +u]S2u{ count = 0 z{6Z
11| While GetOperationCount(eID)>count T+$[eWk"a GetOperation eID, count, op @ 7u 0v If op.Type="ShiftZ" Then 7P
T{lT DeleteOperation eID,count E@\e$?*X count=count-1 >sF)BoLc End If b'y%n count=count+1 i1085ztN Wend 5N]"~w* op.Type = "ShiftZ" HsWk*L `y op.val1 = taq-0.01 /efUjkP op.parent = parID i@q&5;%% AddOperation eID, op #z(]xI)" 6LZCgdS{ Print "Set pupil diameter = " & pupilDiam }qUX=s
GG -4K5-|>O 'Update AZ Eye subassembly Description }b}m3i1 eID = FindFullName( "Geometry.Arizona Eye" ) LP-o8c GetEntity eID, entity uNyVf7u entity.Description = "Accommodation = " & A & "D" _GPe<H SetEntity eID, entity Ni>[D"| NHt\
U9l' Update 5(2;|I,T Print "DONE!" "7
yD0T)2 7=uj2.J6 End Sub JC"z&ka QPx^_jA 如果屈光度是4,光瞳直径是4,则会输出如下数据: k+/6$pI WxDh;*am: Accommodation = 4 Diopters ;"I^ZFYX Pupil Diameter = 4 mm 6Zo}(^Ovz Set aqueous humor thickness = 2.81 _aphkeqd Set anterior lens radius = 10.4 and conic constant = -2.375869 ~Ei<Z`3}7" Set posterior lens radius = -4.424557 and conic constant = -3.081019 5G#n"}T Set lens thickness = 3.927 4| f*eO Set lens index of refraction = 1.42672 ;a/E42eN; Set pupil diameter = 4 `V1]k_h DONE! s.rm7r@#
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