Broadband Femtosecond Dispersion Compensator for Fiber CPA Systems Using Controlled Optical Aberrations

ABSTRACTThe paper is concerned with the construction of polynomials in two variables, which form a complete orthogonal set for the interior of the unit circle and which are ‘invariant in form’ with respect to rotations of axes about the origin of coordinates. It is found that though there exist an infinity of such sets there is only one set which in addition has certain simple properties strictly analogous to that of Legendre polynomials. This set is found to be identical with the set of the circle polynomials of Zernike which play an important part in the theory of phase contrast and in the Nijboer-Zernike diffraction theory of optical aberrations.The results make it possible to derive explicit expressions for the Zernike polynomials in a simple, systematic manner. The method employed may also be used to derive other orthogonal sets. One new set is investigated, and the generating functions for this set and for the Zernike polynomials are also given.

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Ocular Optical Aberrations After Photorefractive Keratectomy for Myopia and Myopic Astigmatism

Archives of Ophthalmology ◽

10.1001/archopht.118.1.17 ◽

2000 ◽

Vol 118 (1) ◽

pp. 17 ◽

Cited By ~ 161

Author(s):

Theo Seiler

Keyword(s):

Photorefractive Keratectomy ◽

Optical Aberrations ◽

Myopic Astigmatism

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Compactly arranged 25-stage PLC mach-zehnder-type wide-band tunable dispersion compensator

2008 34th European Conference on Optical Communication ◽

10.1109/ecoc.2008.4729151 ◽

2008 ◽

Author(s):

Hiroshi Kawashima ◽

Kazutaka Nara

Keyword(s):

Wide Band ◽

Dispersion Compensator

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A New Design of Large Stroke Micro-Deformable Mirror Actuated by Electrostatic Repulsive Force

2008 Second International Conference on Integration and Commercialization of Micro and Nanosystems ◽

10.1115/micronano2008-70058 ◽

2008 ◽

Cited By ~ 1

Author(s):

Fangrong Hu ◽

Jun Yao ◽

Chuankai Qiu ◽

Dajia Wang

Keyword(s):

Electric Field ◽

Resonant Frequency ◽

Adaptive Optics ◽

Bottom Electrode ◽

Sacrificial Layer ◽

Electrostatic Force ◽

Repulsive Force ◽

Deformable Mirror ◽

Optical Aberrations ◽

Out Of Plane

In this paper, a MEMS mirror actuated by an electrostatic repulsive force has been proposed and analyzed. The mirror consists of four U-shape springs, a fixed bottom electrode and a movable top electrode, there are many comb fingers on the edges of both electrodes. When the voltage is applied to the top and bottom electrodes, an asymmetric electric field is generated to the top movable fingers and springs, thus a net electrostatic force is produced to move the top plate out of plane. This designed micro-mirror is different from conventional MDM based on electrostatic-attractive-force, which is restricted by one-third thickness of the sacrificial layer for the pull-in phenomenon. The characteristic of this MDM has been analyzed, the result shows that the resonant frequency of the first mode is 8 kHz, and the stroke reaches 10μm at 200V, a MDM with large strokes can be realized for the application of adaptive optics in optical aberrations correction.

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