7.3 the astigmatic image Flashcards
What happens when observing an object point at presence of astigmatism?
line foci are formed
What are one of the paradox of astigmatism?
the lines are perpendicular to the meridian aghast is at focus
What does astigmatism mean?
not stigmatic-
What does stigmatic mean?
means point to point imagery that means a single point object is imaged as single point image which is not the case in astigmatic images
What do the line foci represent?
represents extremes of shapes that can be formed in a astigmatic image
How do you and what happens when viewing an astigmatic image?
putting magnifier glass over
-get progression of blurring between the 2 extremes the horizontal line focus and vertical line focus
What happens as you move away from the horizontal line focus ?
get horizontal blur elipse
line limiting form of elipse
-the more ways you get a circular patch -disc of least confusion
-even more away the ellipse becomes vertical before it becomes the vertical line of focus
-progression of shapes of blur as we move through focus in a astigmatic image
-circles and lines are special form of elipse.
What is the disc of least confusion (DLC)?
-circular blur patch located dioptrically midway between the astigmatic foci
What is the best approximation to point object?
circular blur- all diagrams show single point of light
What is the best approximation to point object called ?
-circle of least confusion- point in between 2 line foci
What is Best vision sphere (BVS)?
-It is the spherical correction in the spectacle plane that places the disc of least confusion on the retina for distance vision.
What are the definitions for analysis?
Take θ to be the least powerful meridian with power Fe θ ; this will be the sphere component when the prescription is written in negative cyl form
-always at right angles to each other
What is the most powerful meridian ?
θ + 90 degrees is the more powerful Meridan with power Fe theta + 90
What is the least powerful meridian ?
Take θ meridian as least powerful meridian with power Fe θ
What is the expression of the length of the astigmatic line for the least powerful meridian?
From similar triangles: a=p(l’θ-l’θ+90/l’θ)=p(L’θ+90-L’θ/L’θ+90)
How does the pupil size and astigmatic line correlate?
the bigger the pupil size the longer the astigmatic line
What is the expression of the length of the astigmatic line for the most powerful meridian?
b=p(l’θ+90-l’θ/l’θ+90)=p(L’θ-L’θ+90/L’θ)
What is the length of focal line expression for a distance object?
L’θ=Feθ
What is astigmatism defined as ?
the difference in power between the principal meridians