Lecture 4: High Powered Lenses Flashcards
Radius of curvatures tells us what about the surface?
How steep or flat it is
Longer Radius = ?
Flatter curvature
Radius of Curvature is what to the SURFACE power of the Lens?
INVERSELY PROPORTIONAL
- Define Sagitta
a. As ROC DECREASES, Sagitta..
Height (depth) of a convex or concave lens surface. Defined by ROC of the surface at a given Diameter.
- a. INCREASES (Power of surface is inversely proportional to the radius)
Sagitta Related to Surface Power
- S = ?
- F = ?
- S =
- h = ?
- h^2/2000r
- (n-1)/r
- (h^2F)/(2000(n-1))
- 1/2 the diameter of the lens
Sagitta Related to Surface Power
Trends
- Surface Power
a. As F INCREASES, s…?
b. Steeper surfaces have GREATER what? - Refractive Index (n)
a. As n Increases…s…?
b. A Material with HIGHER n will do what to light?
c. Hi-Index Lens material Require more or less curvature to create the SAME SURFACE POWER? - Lens Diameter (2h)
a. As h INCREASES, s …? - As diameter increases or ROC decreases, what happens w/the approximation formula?
- a. s INCREASES (Sagitta)
b. Surface Heights than flatter
surfaces
- a. DECREASES
b. will BEND LIGHT MORE for the SAME AMT of CURVATURE
c. Require LESS CURVATURE to create the same surface power - a. s INCREASES
- It will LOSE ACCURACY and EXACT FORMULA has to be used.
Lens Geometry
- Center Thickness is measured where?
- Edge thickness is measured where?
- Focal POWER
- at the OC
- at the Thickest Edge
- Fa = F1 + F2
Lens Geometry
- Modern Day Lenses = ?
- Plus Lenses
a. When a Positive F1 is STRONGER than the NEGATIVE F2, the lens is generally (+ or -)?
b. s (height of the curve) will be HIGHER with what Surface Powers?
c. Convex F1 is the HIGHEST SURFACE, so it will be THICKER where?
- MENISCUS
- a. +
b. with STRONGER SURFACE POWERS
c. at the CENTER and THINNER at the EDGES
Len Geometry
- Minus Lenses
a. NEGATIVE F2 is STRONGER than Positive F1, lens is generally what?
b. CONCAVE BACK SURFACE will be what?
c. Where will it be thickest?
- Plano Lenses
a. When Positive F1 is Equal to Negative F2, net power = ?
- a. -
b. HIGHEST SURFACE
c. At EDGES and thinnest at center - a. 0 D. Same edge and center Thickness
Determining Max Thickness of a Plus Lens
- te = ?
- tc = ?
- Actual Eqn: tc = ?
- Min thickness = EDGE
- Max Thickness = Center
- te + (s1 + s2)
a. s1 = sagitta of front surface
b. s2 = sagitta of back surface
*Note: PLUS LENSES will NEVER have a te = 0 mm
Determining Min Thickness of a lens.
- te = ?
tc - (s1+s2)
*Thickness of a MINUS LENS SHOULD ALWAYS be a POSITIVE NUMBER!
Minimum Thickness Guidelines
- Need to ensure 2 things about the lens?
- Min Center thickness Range?
a. TRADITIONALLY? - Min Edge Thickness: traditionally?
- Has enough IMPACT RESISTANCE for EYE PROTECTION and Enough FLEXURAL STABILITY for PROCESSING!
- 1 to 2.2 mm
a. 2 mm - 1 mm
Calculating Max Lens Thickness
We combine Max Thickness formula and Approx. Sagitta Formula to get: tmax = ?
- tmin + ( (h^2|Fa|)/(2000(n-1)))
Relationships b/w Thickness, Focal Power, RI and Diameter
- Focal Power: as Fa INCREASES, t min?
- As n INCREASES, tmax ?
- As Lens size Increases, tmax?
- INCREASES
- DECREASES
- INCREASES
Thickness Factors by Diameter
- tmax = ?
tmin + (thickness factor)(|Fa|)