By Ting-Chung Poon

This precious textbook serves reasons. the 1st is to introduce a few conventional themes comparable to matrix formalism of geometrical optics, wave propagation and diffraction, and a few basic historical past on fourier optics. the second one is to provide the necessities of acousto-optics and electro-optics, and supply the scholars with event in modeling the speculation and functions utilizing a usual software program instrument MATLAB®. The booklet relies at the authors' personal in-class lectures in addition to researches within the area.

Readership: First-year/senior graudate scholars in engineering and physics; scientists and engineers willing within the fundamentals of acousto-optics and electro-optics

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Example text

4-9b) is called the refracting power of the spherical surface. When R is measured in meters, the unit of p is called diopters. If an incident ray is made to converge (diverge) by a surface, the power will be assumed to be positive (negative) in sign. The (2 x 2) transfer matrix is called the refraction matrix TZ and it describes refraction for the spherical surface: K= 1 ( nL i^ 0 1 ) . (1-4-10) R Note that the determinant of 1Z is also unity. Thin-Lens Matrix Consider a thick lens as shown in Fig.

If di is positive (negative), the image is to the right (left) of the lens and it is real (virtual). Now, returning to Eq. 4-15) with Eq. 4-18) Xo f f f-d0 d0 using Eq. 4-16), where M is called the lateral magnification of the system. If M >0 (<0), the image is erect (inverted). 1 and pointed out that there are six cardinal points on the optical axis that characterize an optical system. They are the first and second principal (unit) points (Hi,H2), first and second nodal points (Ni,N2) and the front and back 28 Engineering Optics with MATLAB focal points (Fi, F2).

313]. Hint: make use of ds2 = dx2 + dy2 + dz2. 4 a) Show that for n2(x, y) = nl - n2(x2 + y2), the square-law medium x{z) = —y=^- sin — z Jn2 \ nocosa when the initial ray position is at x = 0 with a being the launching angle. 1 mm'2. Draw some conclusion from the plots. , a is small, can you draw a different conclusion from that obtained from part b)? 5 Show that the ray transfer matrix for the square-law medium n2(x, y) = UQ — n2(x2 + y2) is cos 5z ( isin/^ - no/3sin/3z cosfiz where 0 = ^Ju^/n®.

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