Research on a novel high gain model for dispersive spectrographic systems

Liang Cheng; Zi Ye; Xingzhi Gong; Feihong Yu

doi:10.1117/12.756167

4 January 2008 Research on a novel high gain model for dispersive spectrographic systems

Liang Cheng, Zi Ye, Xingzhi Gong, Feihong Yu

Proceedings Volume 6832, Holography and Diffractive Optics III; 68321Y (2008) https://doi.org/10.1117/12.756167
Event: Photonics Asia 2007, 2007, Beijing, China

Abstract

Traditional dispersive spectrographic systems usually base on slit imaging. The entrance slit can ensure a remarkable spectral resolution but a loss of system throughput and vice versa, thus this kind of instruments can't achieve Jacquinot advantage and Fellgett advantage simultaneously and statically. To derive a high gain model for the stationary dispersive systems with these two advantages, traditional single-slit and the multi-slit spectrographic systems were studied. A method for single channel spectrum abstraction in a multi-slit spectrographic system was derived. This method demonstrates that if each individual slit in a multi-slit system possesses a transformation form of orthogonal independent column codes, the spectrum of each individual slit can be abstracted from superposed spectrum, spectral resolution of equivalent single-slit system is obtained and the system achieves dual advantages. This high gain computational system model is applicable for almost all kinds of existing dispersive spectrographic systems. Furthermore individual coded slits can be integrated as a coded aperture to increase system's integration level and reduce off-axis aberration. Based on the derivation of theoretical model, two kinds of coding forms' mathematical models were studied. To verify the derived theory, a testing system with a specially designed flat-field holographic concave grating and a coded aperture of order 16 Hadamard matrix form was set up. The experiment indicated that although optical aberration and other system noise were involved, this high gain system model could still achieve a high spectral resolution of 0.4nm as single-slit system, while remarkable system etendue (8X) and SNR (4X) were also obtained, which proved the correctness of the theoretical derivation.

Citation Download Citation

Liang Cheng, Zi Ye, Xingzhi Gong, and Feihong Yu "Research on a novel high gain model for dispersive spectrographic systems", Proc. SPIE 6832, Holography and Diffractive Optics III, 68321Y (4 January 2008); https://doi.org/10.1117/12.756167

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KEYWORDS

Systems modeling

Imaging systems

Coded apertures

Mathematical modeling

Spectral resolution

Signal to noise ratio

Computer programming

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