2. TILT INDUCED POWER OF ASTIGMATIC LENS
TILT
When (a home center) pencil of light incident normally along the optical axis of a
spherical lens,the refracted pencil of light to be astigmatic.
3. • If the lens is pantascopically tilted so that the pencil of light is obliquely incident
upon the optical axis of the lens at its front pole,the refracted pencil will be
astigmatic.
• The astigmatism occurs as a result of the obliquely of the incident light.Not only
is a cylindrical component introduced,but the spherical power also changes.
4. • The spherical refraction produced by the lens increases in power & the cylinder
that is generated has the same sign as that of the original sphere.
• The axis of the resulting cylinder is parallel to the axis of rotation of the lens
5. • For Eg:if A Plus Lens Is Pantoscopically Tilted(tilted Inwards Towards The
Cheekbone).So That The Wearer Looks Through The Pole Of The Lens
Obliquely,plus Cylinder Is Induced & Since The Axis Of Rotation Is Horizonatl,the
Axis Of Induced Plus Cylinder Is Horizontal.
• Likewise If A Minus Lens To Panstoscopically Tilted,a Minus Cylider Is Induced
With Is Axis Horizontal.
6. • Fig a:homocenter pencil of light incident normally to the optic axis of a spherical
lens.
7. • Fig B:lens Is Tilted In The Vertical Meridian Woith Respect To Homocenter Bundle
O0f Incident Light.The Refracted Rays In Thr Vertical Meridian Form A Horizonatal
Focal Line ‘H’.
• The Refracted Rays In The Horizontal Meridian Form A Vertical Focal Line ‘V’.
• For Small Value Of Angle Α ,The Power Of The New Sphere Is Given By The
Expression,,
8. • S’= So[1+ Sin ^ 2 α /2 n ]
• S’=power of new sphere
• So=power of old sphere
• α= angle of obliquely/tilt
9. • If the index of refraction of glass or plastic is assumed to be 1.50 ,equation then
becomes
• S’= So[1+ Sin ^ 2 α /3]
• THE INDUCED CYLINDER IS GIVEN BY THE EXPRESSION
C=S’tan ^ 2 α
10. USES
• In Aphakic Patients Who Frequently Have A Cylinder In Horizontal Axis Which
Must Be Decreased In Strength After Some Weeks,a Change Which Can Be
Affected By Straightening The Spectacle.
• Another Advantage Of Method Is That Lenses Are Lighter Without
The Cylindrical Addition.