Class3OK

Class3OK - Read Hecht, from Chapter 5: 5.1 to 5.5 Paraxial...

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Paraxial ray condition and image formula However, under the paraxial ray conditions: cos ϕ 1 and sin ϕ (6) The spherical surface can be approximated as an ideal optical system. Under these conditions, l o = S o , l i = S i , Eq. (5) can be simplified as: R n n S n S n i o 1 2 2 1 = + (7) Point source S Æ point images P , this one to one correspondence is given by Eq.(7) Paraxial rays: rays with very small value of , satisfying condition (6). Gaussian optics: the optics in the paraxial ray region, also called first-order or paraxial optics. All the following discussion are within the paraxial ray region.
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Spherical surface: focal lengths R n n S n S n i o 1 2 2 1 = + Ray equation for a spherical surface under paraxial ray approximation f o : first focal (object focal) length: the object distance for which S i = F o : the corresponding point on the optical axis, first (object) focus F 0 f 0 R n n n f o 1 2 1 =
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Spherical surface: focal lengths R n n S n S n i o 1 2 2 1 = + Ray equation for a spherical surface under paraxial ray approximation F i f i f i : second focal (image focal) length; the image distance where S o = F i : second (image) focus R n n n f i 1 2 2 =
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Paraxial ray condition and image formula Real image: image formed by actual converging rays Virtual image: image formed by extension of diverging rays P S P’ S
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Paraxial ray condition and image formula Virtual image: image formed by extension of diverging rays Virtual object: an object is virtual when the rays converge toward it (but not actually crossing with one another) S F o P’ S
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This note was uploaded on 10/19/2009 for the course PHY 31 taught by Professor Cebe during the Fall '08 term at Tufts.

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Class3OK - Read Hecht, from Chapter 5: 5.1 to 5.5 Paraxial...

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