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Design and Development of Compact Spectrometers

I and my colleagues have designed and developed a new class of optical devices that integrates the functionalities of different optical elements into a simple volume hologram. As a result, very compact, low cost and easy to use devices such as portable spectrometers can be made with particular applications in biological and environmental sensing. In such a spectrometer, several optical elements of the conventional spectrometers (such as an input slit, a collimating lens, a diffractive grating, and a collector lens) are replaced by a specially designed volume hologram. This work attracted much attention and was published as a newsbreak in Photonics Spectra (April 2006) and in Advanced Materials and Processes (April 2006).

 

 

 

 

 

Diffraction Analysis of Complicated Holograms (Multi-grating Method)

To implement the functionalities of several optical elements into a complicated volume hologram, I have developed a new semi-analytic tool called multi-grating method. In this method, the complicated hologram is represented as the superposition of several sinusoidal gratings. The diffracted beam is then obtained by coherent superposition of the diffracted components from each grating. Using this method and for the first time, I derived a complete closed-form representation of the diffracted beam from a spherical beam volume hologram that is valid for both near-field and far-field scenarios. 

 

 

 

 

 

Software-based Stabilized Holographic Recording

I and my colleagues have developed and implemented a simple and low cost stabilized holographic recording system based on a modular software design in LabView. The stabilized recording system is necessary for long holographic recording to completely characterize doubly doped crystals. Fringe stability better than 1/20 of the wavelength of the recording beams was obtained for more than 5 hours using our system. Based on these accurate holographic recordings, I showed, for the first time, that the sensitivity (S) in two-center recording is a function of the ratio of the recording to sensitizing intensities and not the absolute intensities.

 

 

 

 

 

Global Optimization for Two-center Holographic Recording

I performed a global optimization of dynamic range (M/#) and sensitivity (S) for two-center holographic recording for the first time. I derived analytic formulas for M/# and S for the recording phase of the hologram and analytic and numerical solutions for the read-out phase. This complete set of accurate solutions was derived for the first time and was necessary for the global optimization. Using optimal design parameters, one order of magnitude improvement for M/# and more than two orders of magnitude improvement for S were obtained compared to the reported values before this work. I also showed that a trade-off exists between M/# and S that should be taken into account for the design of the optimum material.