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简介 v&(=^A\eN ;du},>T$n 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 !q,7@W3i &o7PB`(l 模型 J_7@d]0R U,p'<rmS 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 XkkzY5rxOc /;w(sU Table 1. AZ眼睛模型的定义 ^&C/,,U 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ^n<YO=|u ZA. SX|m 光源 Cse`MP fMUh\u3 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 u=qaz7E rr2!H%: 6it
[i@*" 图1. 光源和提示信息使用 M;b3-
i 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 NOwd'iU 9G2rVk 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 q2J|koT Q0Do B 图2. 字母F光源的设定方法光 ?<^8,H DnJ `]r 图3. 字母F在视网膜上位置点列图 y\uBVa<B 视网膜的散射 ~E((n n"aF#HR?0d 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 XEbVsw QEbf]U= 7S
8X) 图4. 视网膜朗伯散射设定 T fkGkVR 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 vV$t`PEY 8x)i{>#i %AtT(G(n 图5. 视网膜重点采样规格设定 ZiQ<SSo: 脚本 YkMFU'?[ +D4m@O 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: P (7Q8i' DiOd!8Y 图6. 用户对话框的创建与编辑 zSD_t 图7. 用户对话框编辑器 l,]%D 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。 ?B;7J7 T 余下的脚本计算与屈光度有关的所有参数。 ,g}$u'A+d o+x!
( 分析 %X.g+uu xg7KU& 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 C P&u xR%NiYNQz 图7. 字母F在视网膜上颜色分析 r<n:o7 脚本代码 w{dRf!b69 Y DHP-0? Option Explicit 'Remove this to enable non-dimensioned variables to be used. K-\wx5#l/ cf$
hIB)Oi Dim entity As T_ENTITY VVAc bAGJ Dim op As T_OPERATION aXq ig&: Dim mat As T_MODELMATERIAL d9U)O6= Dim A As Double &PL=nI\) Dim pupilDiam As Double Mb[4_Dc Dim eID As Long *_YR*e0^nN Dim parID As Long F.aG7 Dim count As Integer 1aIGC9xQ` Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double t7u*j-YE Dim tlens As Double, nlens As Double &}Wi@;G]2 Dim curv As Double, conic As Double r9N?z2X Dim ok As Long b(R.&X s+fxv(,"c Sub Main CP;<B1 ~' 955fK> '用户输入对话框 `5h^!=" Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 0{B<A^Bf TextBox 220,21,40,21,.TextBox1 'default: 0 :vEfJSA
1< Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 M[z1B!rT OKButton 40,91,90,21 !e<2o2~. CancelButton 190,91,90,21 2*O#m Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ;>6~}lMgJ TextBox 220,49,40,21,.TextBox2 'default: 4 {*hvzS{1d End Dialog N2}Y8aR~ Dim dlg As UserDialog Rzsu 7w 4XVwi<) ok = Dialog (dlg) 8'zl\:@N e4Qjx*[G If ok=0 Then 'cancel button was pressed t CO?<QBE Print "Execution cancelled." p6BDhT(RS End 0U*f"5F End If 8N"WKBj|_d =8tK]lb 'Assign accommodation and pupil diameter & use defaults if field left empty 1,OkuyXy!> If dlg.TextBox1 = "" Then %>9L}OAm A = 0 'Default accommodation :NWIUN Else Wp:vz']V A = CDbl(dlg.TextBox1) d`flYNg4 End If ;8&/JS N M ?0KIM*
. If dlg.TextBox2 = "" Then d
oEuKT pupilDiam = 4 'Default pupil diameter T+B-R\@t Else G}l9 [lE pupilDiam = CDbl(dlg.TextBox2) 6QT&{|q= End If Cc{{9Ud wN%lc3[/z2 Print " " -R]~kGa6m< Print "Accommodation = " & A & " Diopters" H? z~V-8 Print "Pupil Diameter = " & pupilDiam & " mm" FCwE/ 2, k=9+"4: ' Calculate new parameters with accommodation WFk%nO/ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ]ke9ipj]: ST[TKL<] Rant = 12.0 - 0.4*A 'Radius of anterior lens ]v>[r?X#V CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens pi#a!Quf\ Z+6WG Rpost = -5.224557 + 0.2*A 'Radius of posterior lens d6[' [dG CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens tl~ZuS/ 7 qn=W tlens = 3.767 + 0.04*A 'Lens thickness z(%tu wY%t# [T3 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 6[R6P:v&'G 8`)* ?Q9~ 'Adjust parameters to account for accommodation }xBO; FF^h(Ea '************************************************************************* ' ,]Aj!q 'Aqueous thickness (Position of Lens) ey9hrRMR '************************************************************************* VR1]CN"G eID = FindFullName( "Geometry.Arizona Eye.Lens" ) CC3i@ GetCustomElement eID, entity f2o6GC_ t$t'{*t(
T parID = FindFullName( "Geometry.Arizona Eye" ) "bRjY?D GKF!GbGR@ ' Delete any shift(s) in z F[jqJzCz count = 0 0iR?r+| While GetOperationCount(eID)>count <{;'0> ToM GetOperation eID, count, op ,38M6yD If op.Type="ShiftZ" Then ?Q"<AL>Z DeleteOperation eID,count 7\yh(+ kN count=count-1 -
uO(qUa# End If 4B[pQlg count=count+1 9-_Lc< Wend gq*W 0S r
20! 'Set new shift in + 0*\q op.Type = "ShiftZ"
=a=:+q g op.val1 = taq <<gW`KF
op.parent = parID K+ M\E[1W AddOperation eID, op II _CT= Print "Set aqueous humor thickness = " & taq-0.55 gs i2 *5s*-^'#! '************************************************************************* ]:2Ro:4Yv 'Radius and conic constant of anterior lens baTd;`Pn '************************************************************************* "x;FE<I eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) bk=;=K GetConic eID, entity, curv, conic SQU@JKi;g 1uKIO{d@ SetConic eID, entity, 1/Rant, CCant Ho(}_Q& Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant m;xa}b{(i A-L)2.M '************************************************************************* (gvnIoDl0 'Radius and conic constant of posterior lens o2$A2L9P '************************************************************************* ZR|s]' eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Wql=PqF GetConic eID, entity, curv, conic 1TfFWlf[B ~~"U[G1 SetConic eID, entity, 1/Rpost, CCpost |=VWE>g Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 2{l|<' !h}Vz '************************************************************************* ,+OVRc 'Lens thickness (Position of posterior lens surface) /5epDDP-t5 '************************************************************************* sD?Ynpt /GJL&RMx parID = FindFullName( "Geometry.Arizona Eye.Lens" ) [K4k7$ -%>Tjo@Bn ' Delete any z-shift(s) dikX_ Q>D count = 0 K+L9cv4 |* While GetOperationCount(eID)>count ,SdxIhL GetOperation eID, count, op qJl DQc- If op.Type="ShiftZ" Then n,-*$~{ DeleteOperation eID,count A4d3hF~ l` count=count-1 #^|2PFh5 End If +5R8mbD! count=count+1 @J^
Oy 3z Wend qyy. &+ mxJe\[I 'Set new z-shift \YF;/KwX$ op.Type = "ShiftZ" wNFx1u^/) op.val1 = tlens 5__B
M5| op.parent = parID j3+ hsA/(k AddOperation eID, op Q=[ IO,f Print "Set lens thickness = " & tlens &"Cy&[ )`W|J%w+ '************************************************************************* =)iAU/*N 'Lens index of refraction E"/k"1@ '************************************************************************* 4v5qK eID = FindMaterial( "Lens" ) vs$.i GetModelMaterial eID, mat /Gb)BJk! pR`nQM-D mat.Nd = nlens )N3/;U; SetModelMaterial eID, mat j2:9ahW
Print "Set lens index of refraction = " & nlens O\]{6+$fm! QJx<1# '************************************************************************* ehe#"exCB 'Pupil diameter D6yE/QeK4 '************************************************************************* $kR%G{j 4 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) T| (w-)mv D=5%lL 'Adjust pupil diameter (trimming volume inner hole) Y|/,*,u+ j#p3<V S4 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]D2d=\ pA@R,O>zr ' Adjust pupil location to just in front of the lens .ubZ parID = FindFullName( "Geometry.Arizona Eye" ) dIQ3snG eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) awQB0ow'$P count = 0 *'{9(Oj While GetOperationCount(eID)>count l[WX77bp= GetOperation eID, count, op L1@<7?@X If op.Type="ShiftZ" Then G/( tgQ DeleteOperation eID,count iM8l,Os]<f count=count-1 @qA11C.hq End If
jEP'jib% count=count+1 i{HzY[ Wend gKWUHlQY op.Type = "ShiftZ" Q;m8 drU op.val1 = taq-0.01 ):L0{W{ op.parent = parID 3|URlz AddOperation eID, op zE}ry!{ {e[~1]j3 Print "Set pupil diameter = " & pupilDiam !0KNA1w, Ogh, 'Update AZ Eye subassembly Description ^p%3@)& eID = FindFullName( "Geometry.Arizona Eye" ) l?^}n(_. GetEntity eID, entity `'bu8JK entity.Description = "Accommodation = " & A & "D" <hgfgk7< SetEntity eID, entity N{Pa&/V y;.5AvfD Update mGw*6kOIS Print "DONE!" kp)1s>c a72L%oJ End Sub ;_=dB[M =C^4nP- 如果屈光度是4,光瞳直径是4,则会输出如下数据: h?->A# 3JF" O+@ Accommodation = 4 Diopters `yRt?UQRS Pupil Diameter = 4 mm mJVru0 Set aqueous humor thickness = 2.81 pWoeF=+y]W Set anterior lens radius = 10.4 and conic constant = -2.375869 s|:j~>53 Set posterior lens radius = -4.424557 and conic constant = -3.081019 X#MC|Fzy@ Set lens thickness = 3.927 %=vU
Z4 Set lens index of refraction = 1.42672 Y5mk*Q#q Set pupil diameter = 4 y]ya.YG DONE! ?,eq86-M 2kFP;7FO --7@rxv QQ:2987619807 R:44Gv7
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