Michelson Gires Tournois Research Articles

Thin film-based Gires–Tournois Resonator (GTR) as quasi-optical analogue of the Thomas rotation angle effect in special relativity

We present an unconventional approach to generate an optical analogue of the Thomas rotation angle found in Special Relativity (SR) by using a thin-film–based Gires–TournoisResonator (GTR). At first glance, the phase response of the GTR seems to fail as an optical analogue for the Thomas rotation angle in the phase domain but we demonstrate that an analogue can be successfully constructed in the intensity domain by combining the GTR with a Michelson interferometer (MI), thus forming an interferometer known as the Michelson–Gires–Tournois Interferometer (MGTI). Thomas rotation angle is a spatial rotation of the reference frame due to the Einstein velocity addition (EVA) law of two successive relativistic velocities travelling in non-collinear directions, whereas, the GTR is a thin-film based asymmetric Fabry–Perot resonator (FPR) with a partially reflecting front mirror, and a 100% rear-reflecting mirror. We investigate in detail, both analytically and numerically, the Thomas rotation angle’s full behaviour under various parameter conditions. This approach offers the following advantages: (i) it leads to a simpler overall configuration, (ii) it measures the Thomas rotation angle directly requiring only a single optical parameter instead of multiple parameters compared with other methods, and (iii) it requires no sophisticated multilayer thin film design.

Fiber loop mirror based single-platform multifunctional Michelson–Gires–Tournois filter

Abstract A single platform multifunctional fiber optic filter is presented. The filter is based on a Michelson–Gires–Tournois Interferometric (MGTI) structure, which makes use of high dynamic range fiber loop mirrors (FLM) for the tunability of the required reflectance. Path length control is another degree of freedom which provide the multifunctionality in the optical transfer function of the filter. The optical filter can be configured to suppress optical side bands, shape the amplitude of optical combs, or perform spectral slicing for signal processing. Rectangular pass-band transfer functions (TF) with tunable center frequency (tens of GHz) and tunable frequency bandwidth (BW) with side lobe suppression of more than 20 dB and ripple of 99%) and optical paths can change the TF to notch type with 250 MHz bandwidth. Further reflectance modification (

Design of Optical Notch Filters Based on Equivalent Relations

The transfer functions of optical notch filters based on all fiber unbalanced Mach-Zehnder interferometer with fiber ring coupled structure and Michelson Gires–Tournois interferometer structure are presented based on z-transform method respectively. On this basis, the structural parameters between the two kinds of notch filters are revealed to have some certain equivalent relations. With this equivalent relationship, the structural parameters for designing one of the two kinds of notch filter can be conveniently obtained by that of the other of the two kinds of notch filters. A design example of a two notch point notch filter using the method is given in detail in the paper.

General IIR optical notch filter based on Michelson Gires–Tournois interferometer

A general IIR optical notch filter design is presented from a digital filter design perspective for Michelson Gires–Tournois Interferometer structure. Optical notch filter with arbitrary notch frequency, notch point number, and 3 dB rejection bandwidth can be designed easily. According to the spectral requirement of desired notch filter, in frequency domain we firstly calculate the transfer function of desired allpass filter. Then the numbers of reflectors in Gires–Tournois etalon can be determined. We calculate the transfer function of this multi-cavity Gires–Tournois etalon by using Z-transform. By making the transfer function of allpass filter in frequency domain equal to that of the multi-cavity Gires–Tournois etalon, the notch filter can be directly realized. Different design examples are given in detail in the paper. The change of output spectrum is also investigated for the reflectance of the reflectors and the distance between the reflectors deviating from the ideal value. The results show that the notch filter has the tunability of notch frequency and 3 dB rejection bandwidth. The chromatic dispersion characteristic of the notch filter is analyzed finally. It shows that the notch filter has excellent chromatic dispersion characteristic.

Electro-optic Michelson–Gires–Tournois modulator for optical information processing and optical fiber communications

We propose and demonstrate an electro-optic modulator based on a Michelson interferometer with a Gires-Tournois etalon (GTE, or asymmetric Fabry-Perot etalon) in one of the two arms. The insertion of a GTE significantly reduces the required interaction length or the operation voltage. Our experimental and theoretical results agree well. An extension of our setup to a waveguide configuration can lead to practical modulators and switches with greater compactness and reduced operation voltage for optical fiber communications.

Multifunction optical filter with a Michelson–Gires–Tournois interferometer for wavelength-division-multiplexed network system applications

We propose using a novel multifunction optical filter with a Michelson-Gires-Tournois interferometer (MGTI) for future smart wavelength-division-multiplexed network system applications. The MGTI filter is a typical Michelson interferometer in which one of its reflecting mirrors is replaced with a Gires-Tournois resonator. One unique feature of this device is that it can function as a channel-passing (CP), a channel-dropping (CD), or a wide-bandpass (BP) filter, depending on the interferometer arm-length difference. Other interesting features are that (1) the linewidths of both the CP and the CD filter are twice as narrow as that of a typical Fabry-Perot filter with similar parameters, (2) theoretical visibility is always unity regardless of the mirror reflectance value, and (3) the BP filter has an excellent boxlike response function. Numerical results showing these characteristics are presented.