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All-Optical Gyroscope Based on Sagnac Effect in Photonic Crystal Coupled Cavity Waveguides and Slow Light Structures Work published in: B.Z. Steinberg,

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Presentation on theme: "All-Optical Gyroscope Based on Sagnac Effect in Photonic Crystal Coupled Cavity Waveguides and Slow Light Structures Work published in: B.Z. Steinberg,"— Presentation transcript:

1 All-Optical Gyroscope Based on Sagnac Effect in Photonic Crystal Coupled Cavity Waveguides and Slow Light Structures Work published in: B.Z. Steinberg, ‘’ Rotating photonic crystals: a medium for compact optical gyroscopes ”, Phys. Rev. E, vol 71, pp , May

2 Basic Principles Stationary Rotating at angular velocity A CCW folded back upon itself in a fashion that preserves symmetry  C - wise and counter C - wise propag are identical.  “Conventional” self-adjoint formulation.  Dispersion is the same as that of a regular CCW except for additional requirement of periodicity: Micro-cavities  Co-Rotation and Counter - Rotation propag DIFFER.  E-D in accelerating systems; non self-adjoint  Dispersion differ for Co-R and Counter-R: Two different directions

3 Formulation E-D in the rotating system frame of reference: –We have the same form of Maxwell’s equations: –But constitutive relations differ: –The resulting wave equation is (first order in velocity):

4 Procedure: –Tight binding theory –Non self-adjoint formulation (Galerkin) Results: –Dispersion: Solution QQ   mm  m Q|Q|   m ;    )   m ;    )  m ;    ) At restRotating Depends on system design

5 The Gyro application Measure beats between Co-Rot and Counter-Rot modes: Rough estimate: For Gyro operating at optical frequency and CCW with :


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