The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
H A Haus - One of the best experts on this subject based on the ideXlab platform.
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Analytic Theory of coupling from tapered fibers and half blocks into microsphere resonators
Journal of Lightwave Technology, 1999Co-Authors: Brent E Little, J P Laine, H A HausAbstract:Coupling from tapered fibers and polished half-block couplers into the high-Q whispering gallery modes of microsphere resonators is investigated Analytically. Numerous formulas are derived to predict the external coupling Q values, and intrinsic whispering gallery loss, for arbitrary structures, and for any sphere mode. Phase-mismatch due to the differences in propagation constants between input and sphere modes is taken into account. These formulas are strictly mechanical once a simple characteristic equation is solved which relates the spherical mode orders to the resonant wave vector. Results are in very good agreement with values that are calculated by different numerical methods.
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second order filtering and sensing with partially coupled traveling waves in a single resonator
Optics Letters, 1998Co-Authors: Brent E Little, Sai T Chu, H A HausAbstract:The counterpropagating waves in a single traveling-wave cavity can be partially coupled by means of a small perturbation such as a notch. When it is side coupled to a waveguide, this single cavity yields a general second-order (Chebyshev) reflection response in the waveguide, which is useful for narrow-bandwidth reflecting applications. In a different application, the cavity amplifies small reflections induced by external perturbations, thus finding use in ultrafine sensing. Amplification factors as great as 10(12) are predicted for the highest-Q microsphere resonators. The Analytic Theory of these devices is presented.
Brent E Little - One of the best experts on this subject based on the ideXlab platform.
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microring resonator arrays for vlsi photonics
IEEE Photonics Technology Letters, 2000Co-Authors: Brent E Little, Yasuo KokubunAbstract:The Analytic Theory governing the complete scattering response of two-dimensional (2-D) microring resonator arrays is developed, The method is applicable to arbitrary interconnections of general four-port, single polarization nodes. An 8/spl times/8 cross-grid array of vertically coupled glass microring resonators is fabricated for test purposes.
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Analytic Theory of coupling from tapered fibers and half blocks into microsphere resonators
Journal of Lightwave Technology, 1999Co-Authors: Brent E Little, J P Laine, H A HausAbstract:Coupling from tapered fibers and polished half-block couplers into the high-Q whispering gallery modes of microsphere resonators is investigated Analytically. Numerous formulas are derived to predict the external coupling Q values, and intrinsic whispering gallery loss, for arbitrary structures, and for any sphere mode. Phase-mismatch due to the differences in propagation constants between input and sphere modes is taken into account. These formulas are strictly mechanical once a simple characteristic equation is solved which relates the spherical mode orders to the resonant wave vector. Results are in very good agreement with values that are calculated by different numerical methods.
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second order filtering and sensing with partially coupled traveling waves in a single resonator
Optics Letters, 1998Co-Authors: Brent E Little, Sai T Chu, H A HausAbstract:The counterpropagating waves in a single traveling-wave cavity can be partially coupled by means of a small perturbation such as a notch. When it is side coupled to a waveguide, this single cavity yields a general second-order (Chebyshev) reflection response in the waveguide, which is useful for narrow-bandwidth reflecting applications. In a different application, the cavity amplifies small reflections induced by external perturbations, thus finding use in ultrafine sensing. Amplification factors as great as 10(12) are predicted for the highest-Q microsphere resonators. The Analytic Theory of these devices is presented.
Francesco Lippi - One of the best experts on this subject based on the ideXlab platform.
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the Analytic Theory of a monetary shock
Social Science Research Network, 2021Co-Authors: Fernando Alvarez, Francesco LippiAbstract:We propose an Analytical method to analyze the propagation of a once-and-for-all shock in a broad class of sticky price models. The method is based on the eigenvalue- eigenfunction representation of the dynamics of the cross-sectional distribution of firms’ desired adjustments. A key novelty is that, under assumptions that are appropriate for low-inflation economies, we can approximate the whole profile of the impulse response for any moment of interest in response to an aggregate shock (any displacement of the invariant distribution). We present several applications and discuss extensions. Institutional subscribers to the NBER working paper series, and residents of developing countries may download this paper without additional charge at www.nber.org.
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the Analytic Theory of a monetary shock
National Bureau of Economic Research, 2021Co-Authors: Fernando Alvarez, Francesco LippiAbstract:We propose a new method to analyze the propagation of a once and for all shock in a broad class of sticky price models. The method is based on the eigenvalue-eigenfunction representation of the cross-sectional process for price adjustments and provides a thorough characterization of the entire impulse response function of any moment or function of interest, in response to a once-and-for-all aggregate shock (any displacement of the initial distribution). We use the method (i) to discuss a general Analytic characterization of the selection effect in sticky-price models, (ii) to show that the response of the cross-sectional dispersion of prices to a small shock is zero at all horizons, (iii) to derive a parsimonious representation of the output response to monetary shocks, and the key parameters determining its shape, (iv) to study the propagation of monetary shocks after a change in volatility.
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the Analytic Theory of a monetary shock
Research Papers in Economics, 2021Co-Authors: Fernando Alvarez, Francesco LippiAbstract:We propose an Analytical method to analyze the propagation of a once-and-for-all shock in a broad class of sticky price models. The method is based on the eigenvalue- eigenfunction representation of the dynamics of the cross-sectional distribution of firms’ desired adjustments. A key novelty is that, under assumptions that are appropriate for low-inflation economies, we can approximate the whole profile of the impulse response for any moment of interest in response to an aggregate shock (any displacement of the invariant distribution). We present several applications and discuss extensions.
Hadi Salmasian - One of the best experts on this subject based on the ideXlab platform.
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categories of unitary representations of banach lie supergroups and restriction functors
Pacific Journal of Mathematics, 2012Co-Authors: Stephane Merigon, Karl-hermann Neeb, Hadi SalmasianAbstract:We prove two results which show that the categories of smooth and Analytic unitary representations of a Banach‐Lie supergroup are well-behaved. The first result states that the restriction functor corresponding to any homomorphism of Banach‐Lie supergroups is well-defined. The second result shows that the category of Analytic representations is isomorphic to a subcategory of the category of smooth representations. These facts are needed as a crucial first step to a rigorous treatment of the Analytic Theory of unitary representations of Banach‐Lie supergroups. They extend the known results for finite-dimensional Lie supergroups. In the infinite-dimensional case the proofs require several new ideas. As an application, we give an Analytic realization of the oscillator representation of the restricted orthosymplectic Banach‐Lie supergroup.
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categories of unitary representations of banach lie supergroups and restriction functors
arXiv: Representation Theory, 2011Co-Authors: Stephane Merigon, Karl-hermann Neeb, Hadi SalmasianAbstract:We prove that the categories of smooth and Analytic unitary representations of Banach--Lie supergroups are well-behaved under restriction functors, in the sense that the restriction of a representation to an integral subsupergroup is well-defined. We also prove that the category of Analytic representations is isomorphic to a subcategory of the category of smooth representations. These facts are needed as a crucial first step to a rigorous treatment of the Analytic Theory of unitary representations of Banach--Lie supergroups. They extend the known results for finite dimensional Lie supergroups. In the infinite dimensional case the proofs require several new ideas. As an application, we give an Analytic realization of the oscillator representation of the restricted orthosymplectic Banach--Lie supergroup.
Fernando Alvarez - One of the best experts on this subject based on the ideXlab platform.
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the Analytic Theory of a monetary shock
Social Science Research Network, 2021Co-Authors: Fernando Alvarez, Francesco LippiAbstract:We propose an Analytical method to analyze the propagation of a once-and-for-all shock in a broad class of sticky price models. The method is based on the eigenvalue- eigenfunction representation of the dynamics of the cross-sectional distribution of firms’ desired adjustments. A key novelty is that, under assumptions that are appropriate for low-inflation economies, we can approximate the whole profile of the impulse response for any moment of interest in response to an aggregate shock (any displacement of the invariant distribution). We present several applications and discuss extensions. Institutional subscribers to the NBER working paper series, and residents of developing countries may download this paper without additional charge at www.nber.org.
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the Analytic Theory of a monetary shock
National Bureau of Economic Research, 2021Co-Authors: Fernando Alvarez, Francesco LippiAbstract:We propose a new method to analyze the propagation of a once and for all shock in a broad class of sticky price models. The method is based on the eigenvalue-eigenfunction representation of the cross-sectional process for price adjustments and provides a thorough characterization of the entire impulse response function of any moment or function of interest, in response to a once-and-for-all aggregate shock (any displacement of the initial distribution). We use the method (i) to discuss a general Analytic characterization of the selection effect in sticky-price models, (ii) to show that the response of the cross-sectional dispersion of prices to a small shock is zero at all horizons, (iii) to derive a parsimonious representation of the output response to monetary shocks, and the key parameters determining its shape, (iv) to study the propagation of monetary shocks after a change in volatility.
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the Analytic Theory of a monetary shock
Research Papers in Economics, 2021Co-Authors: Fernando Alvarez, Francesco LippiAbstract:We propose an Analytical method to analyze the propagation of a once-and-for-all shock in a broad class of sticky price models. The method is based on the eigenvalue- eigenfunction representation of the dynamics of the cross-sectional distribution of firms’ desired adjustments. A key novelty is that, under assumptions that are appropriate for low-inflation economies, we can approximate the whole profile of the impulse response for any moment of interest in response to an aggregate shock (any displacement of the invariant distribution). We present several applications and discuss extensions.
