Abstract:This paper reports an advanced Czerny-Turner optical structure which is used for the application in imaging spectrometers. To obtain the excellent imaging quality, a cylindrical lens with a wedge angle is used between the focusing mirror and the imaging plane to remove astigmatism in broadband. It makes the advanced optical system presents high resolution over the full bandwidth and decreases the cost. An example of the imaging spectrometer in the waveband of 260nm~520nm has been designed to prove our theory. It yields the excellent modulation transfer functions (MTF) of all fields of view which are more than 0.75 over the broadband under the required Nyquist frequency (20lp/mm).Key words:imaging spectrometer; astigmatism-corrected; optical design
IntroductionThe Czerny-Turner imaging spectrometer has been applied in many areas of scientific research and engineering application. The characteristics of Czerny-Turner optical system [1] like low numerical aperture, coma-free and spherical aberration correction make it usually be applied in spectrum measuring such as product quality detection, product surface damage detection and pollution monitoring. Besides these applications, the Czerny-Turner spectrometer is commonly used in two-beam spectral interferometry for spectrometer-based frequency-domain optical coherence tomography and femtosecond pulse characterization. The unique problem of the Czerny-Turner spectrometer is that astigmatism remains in the meridian and sagittal planes. At present, many attempts have been provided to solve the problem such as, using toroidal mirrors, using a cylindrical grating, or introducing divergent illumination [2][3][4][5][6][7] . Of course, these methods introduce some difficulties in the optical manufacturing and assemblage and increase the cost.In the paper, we present a new method which obtains the astigmatism-corrected condition. It is different from K-S Lee's study [8] which used an off-the-shelf cylindrical lens but using a cylindrical lens with a wedge angle. It will simplify the assemblage in comparing K-S Lee's study. We present how the cylindrical lens can remove the astigmatism over the broadband width and design an example which obtains excellent performances in 260nm~520nm.
2.Compensation of broadband astigmatism with a cylindrical lens in Czerny-Turner systemIn the Czerny-Turner spectrometer with two off-axis spherical mirrors, the difference in astigmatic foci is [2] 1 1 1 2 2 2 ( / 2)(sin tan ) ( / 2)(sin tan )where R 1 is the radius of the collimating mirror, R 2 is the radius of the focusing mirror, α 1 is the off-axis incident angle on the collimating mirror, and α 2 is the off-axis incident angle on the focusing mirror as shown in Fig. 1. It can be easily seen that the astigmatism is hardly eliminated in the traditional form. The cylindrical lens is that it is a plate in the meridian plane and has a radius of curvature in the sagittal plane. This characteristic can be utilized to compensate the astigmatism [9] . The cylindrical lens is located betwee...