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IR Spectrometers01:25

IR Spectrometers

There are two main infrared (IR) spectrophotometers: dispersive IR spectrometers and Fourier transform infrared (FTIR) spectrometers. In a dispersive IR spectrometer, a beam of infrared radiation produced by a hot wire is divided into two parallel equal-intensity beams using mirrors. One beam passes through the sample, while another is a reference beam. The beams then move through the monochromator, which separates the radiations into a continuous spectrum of different frequencies. The...

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A Multimodal Wide-Field Fourier-Transform Raman Microscope
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Lamellar grating optimization for miniaturized fourier transform spectrometers.

Onur Ferhanoglu1, Hüseyin R Seren, Stephan Lüttjohann

  • 1Department of Electrical Engineering, Koç University, Sariyer, Istanbul 34450, Turkey.

Optics Express
|December 10, 2009
PubMed
Summary

Lamellar grating interferometers (LGI) offer compact Fourier transform spectrometers (FTS) with fewer components. This study derives equations for LGI-based FTS performance, detailing optimal grating periods for spectral resolution and signal-to-bias ratio.

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Area of Science:

  • Optics and Photonics
  • Spectroscopy
  • Microfabrication

Background:

  • Michelson interferometers are standard for Fourier transform spectrometers (FTS).
  • Microfabricated Lamellar grating interferometers (LGI) present a compact alternative with fewer components.
  • LGIs offer potential for broadband, high-speed, and high-efficiency FTS systems.

Purpose of the Study:

  • To present fundamental equations governing the performance and limitations of LGI-based FTS.
  • To analyze the impact of Talbot image formation on interferogram envelopes.
  • To derive new analytical equations for spectral resolution and signal-to-bias ratio (SBR) in LGI-FTS.

Main Methods:

  • Theoretical analysis of LGI principles.
  • Development of fundamental performance equations.
  • Computational simulations to study interferogram envelope behavior.
  • Experimental validation of simulation findings.

Main Results:

  • The Talbot effect in LGIs causes a periodic interferogram envelope.
  • Grating period selection involves a trade-off between avoiding Talbot phase reversal and minimizing diffraction order mixing.
  • Optimal LGI grating period is system-dependent, impacting spectral resolution and SBR.
  • New analytical equations quantify spectral resolution and SBR for LGI-FTS.

Conclusions:

  • LGI-based FTS systems offer advantages in compactness and component count.
  • Understanding Talbot image formation is crucial for LGI design.
  • Analytical equations provide a framework for optimizing LGI grating periods for specific applications.
  • LGI-FTS performance optimization requires balancing spectral resolution and signal-to-bias ratio.