Amplitude Transfer Function Research Articles

A Theoretical Model of Gravity Wave Propagation Based on the Transfer Function

AbstractTo study the relationship between the excitation source of gravity wave in the troposphere and the response of ionosphere, a theoretic model of gravity wave propagation based on the complex dispersion relation of internal gravity wave and the conception of transfer function has been built in a dissipative atmosphere which includes viscosity and heat conductivity. In this paper the amplitude of transfer function is discussed in the frequency domain. Through analyzing a case of unit impulse, we obtain the temporal and spatial distribution of a certain physical quantity from earth's surface to 300 km altitude. The results reveal that the atmosphere behaves like a filter which offers the easy passage to some gravity waves whose periods are between 15 min and 30 min and the horizontal wave lengths are between 200 km and 450 km, that it is large in horizontal distance between the source and the response of ionosphere, that the viscosity and the conductivity coefficients of atmosphere have little effect in the low atmosphere, but they become more and more important with the increment of height, and that the frequency obtained by transfer function model is consistent with Row's theory in the low atmosphere, but inconsistent in the high atmosphere.

Optimization and analysis of series-coupled microring resonator arrays

In terms of the coupled mode theory and transfer matrix technique, novel formulas of the amplitude coupling ratios and transfer functions are presented for a series-coupled microring resonator (MRR) array. By using these formulas, parameters are optimized, and transmission characteristics including the transmission spectrum and the insertion loss are analyzed for a SiN/SiO 2 series-coupled MRR array on Si substrate. The box-like spectral response is successfully obtained owing to the proper selection of the amplitude coupling ratio between the channel and the ring, and that between adjacent rings, as well as the number of series-coupled rings.

BIAS COMPENSATED LEAST SQUARES ESTIMATION OF CONTINUOUS TIME OUTPUT ERROR MODELS IN THE CASE OF STOCHASTIC SAMPLING TIME JITTER

This work investigates how stochastic unmeasureable sampling jitter noise affects the result of system identification, and proposes a modification of known approaches to mitigate the effects of sampling jitter. By just assuming conventional additive measurement noise, the analysis shows that the identified model will get a bias in the transfer function amplitude that increases for higher frequencies. A frequency domain approach with a continuous time system model allows an analysis framework for sampling jitter noise. This leads to a bias compensated (weighted) least squares algorithm. A continuous time output error model is used for numerical illustration.

Polychromaticity in the combined propagation-based/analyser-based phase-contrast imaging

A theoretical analysis of the combined analyser-based/propagation-based x-ray phase-contrast imaging of weak objects is presented in the case of partially coherent illumination. It takes into account the finite size and divergence of a polychromatic x-ray source as well as the detector point-spread function. The proposed formalism describes the diffraction of x-rays in the monochromator and analyser crystals and free-space propagations between various elements of the imaging system. As in the case of a monochromatic plane wave incident on the object, the intensity in the image is expressed in terms of the amplitude and phase transfer functions. Analytical expressions for the new ‘polychromatic’ transfer functions are obtained and compared with the corresponding ‘monochromatic’ transfer functions by numerical simulations. The crucial role of the monochromator is elucidated in the formation of the analyser-based phase-contrast images with polychromatic illumination.

Comparison and Combination of Coastal and Off-Shore Tide Gauge Measurements from Eivissa Island, Western Mediterranean

Two sea-level records, spanning eight months of simultaneous data in 2002, have been derived from pressure tide gauge measurements at Sant Antoni harbor (Eivissa Island, Western Mediterranean) and off Es Vedrà island, 15 km SW from Sant Antoni. The two time series are compared and used to characterize the sea-level variability in the Balearic Sea. The main forcings for the observed variations, astronomic tides, and meteorologic forcing by the inverse barometer effect are quantified. In a further step, an amplitude transfer function is determined, reflecting the frequency dependent amplification or damping of the nontidal sea-level residuals between both locations due to their local topography. The interpretation of the obtained transfer function indicates sea-level modulating topographic specifics not only for the coastal record at Sant Antoni, but also at the Es Vedrà site. In general, the application of such a transfer function allows the prediction of off-shore sea-level variations from coastal tide gauge measurements. In the present study, ellipsoidal sea-surface heights for Es Vedrà are inferred from Sant Antoni tide gauge data with an accuracy of about 1.5 cm by applying the determined transfer function and a geoid model.

Frequency-Domain Analysis for Prediction of Seasickness on Ships

Oscillatory vertical motions of ships cause seasickness. There is a mathematical model that can be used to compute the percent of passengers who will get sick caused by vertical motions. However, the application of the mathematical model requires obtaining 2 hours of records of experimental or simulated ship motion data. Based on a filters analogy, this article proposes a new frequency-domain method for the calculation of seasickness incidence. The method can be applied to any sea power spectrum and any ship. Because it is based on response amplitude operators or transfer functions, which can be obtained with seakeeping simulation programs, the method can be applied even before the ship is built. The results of the method can be useful for ship design and for the analysis of best operation for passenger comfort.

Response of acoustic transmission to positive airway pressure therapy in experimental lung injury

To evaluate the effect of positive end-expiratory pressure on the sound filtering characteristics of injured lungs. Prospective experimental study in the animal laboratory in an academic medical center. Six 35- to 45-kg anesthetized, intubated pigs. Acute lung injury with intravenous oleic acid. We injected a multifrequency broad-band sound signal into the airway while recording transmitted sound at three locations bilaterally on the chest wall. Oleic acid injections effected a severe pulmonary edema predominantly in the dependent lung regions, with an average increase in venous admixture from 16+/-14% to 57+/-13% and a reduction in static respiratory system compliance from 31+/-6 to 16+/-3 ml/cm H(2)O. A significant concomitant increase in sound transfer function amplitude was seen in the dependent and lateral lung regions; little change occurred in the nondependent areas. The application of PEEP resulted in a decrease in venous admixture, increase in respiratory system compliance, and return of the sound transmission to preinjury levels. Acute lung injury causes regional acoustic transmission abnormalities that are reversed during alveolar recruitment with PEEP.

Geotechnical Site Characterisation in the Umbria-Marche Area and Evaluation of Earthquake Site-Response

In this research a site classification is proposed for the Umbria-Marche area (central Italy), based on geotechnical and geomorphological criteria. Two empirical techniques to evaluate site effects are used, namely the generalised spectral inversion, and the horizontal to vertical spectral ratio. The soil transfer functions obtained by the two techniques are compared in order to capture the features common to each class and verify the accuracy of the classification. We used strong ground motions recorded during the Umbria-Marche seismic sequence (September 1997-May 1998) and we selected 25 sites that were classified into four groups. The results of the empirical techniques have also been tested using theoretical 1-D or 2-D methods that are commonly used to simulate linear soil behaviour. The results, expressed in terms of amplitude transfer functions, are shown according to each soil class and confirm the consistency of the site characterisation. The empirical techniques are efficient in detecting the fundamental frequency of vibration but seldom the higher harmonics. Conversely, the peak amplitude of the transfer functions is not consistently determined, especially for sites located in deep sedimentary basins, where 2-D effects occur and simplified methods, such as the horizontal to vertical spectral ratios (HVSR) or 1-D theoretical models frequently fail. Significant amplifications are also found for 2-D rock structures such as rock crests or cliffs.

Effect of ring spacing on spectral response of parallel-cascaded microring resonator arrays

In terms of the coupled mode theory and transfer matrix technique, novel formulas of the amplitude coupling ratio and transfer functions are presented for a parallel-cascaded microring resonator array (PCMRR). By using these formulas, effects of structural parameters, especially the ring spacing, on the spectral response are analyzed for this kind of polymer device. The box-like spectral response is successfully obtained due to the proper selection of the ring spacing, amplitude coupling ratio and the number of rings.

Analysis of a 1 × 16 polymer microring resonant wavelength demulti/multiplexer with double seriated identical microrings in every filter element

Novel formulae of the amplitude coupling ratios and transfer functions are presented, parameter optimization is performed, transmission characteristics are analysed, and effects of manufacturing tolerances are investigated for a 1 × 16 polymer microring resonant wavelength demulti/multiplexer with double seriated rings in every filter element around the central wavelength of 1.55 µm with wavelength spacing 0.8 nm. Analytical results show that the 3 dB bandwidth is about 0.24 nm, the insertion loss is less than 0.77 dB, and the crosstalk loss is below −30 dB for every vertical output channel of the designed device without tolerances. The manufacturing tolerances cause a shift of the transmission spectrum and result in the increase of the crosstalk compared with the designed case without tolerances.

Effects of misalignment errors on the optical transfer functions of synthetic aperture telescopes

A segmented or diluted aperture optical system will undergo phase errors as a result of errors in the positioning of the segments. The errors associated with a segmented primary mirror limit the image quality obtainable with synthetic aperture telescopes. Here we study the effects of segmentation errors on image quality, considering both the phase angle and the amplitude of the optical transfer function (OTF). We show that, in these kinds of telescope, phasing and alignment errors among segments reduce the amplitude and distort the phase angle of the OTF.

Determining the relative sign and size of scalar and residual dipolar couplings in homonuclear two-spin systems

Based on the sign and amplitude of TOCSY transfer functions, it is possible to determine the relative sign and size of scalar and residual dipolar couplings in homonuclear spin systems consisting of two spins 1/2. The efficiency of different mixing sequences and different transfer functions is examined both theoretically and experimentally.

Quantitative diffraction-enhanced x-ray imaging of weak objects

Theoretical aspects of quantitative diffraction-enhanced imaging of weak objects are considered using the Fourier optics approach. The amplitude and phase transfer functions are introduced by analogy with the well-known case of in-line (holographic) imaging. The inverse problem of the reconstruction of the phase and amplitude of the incident wave from recorded images is solved in the case of non-absorbing objects and objects consisting of a single material and in the general case of objects with uncorrelated refraction and absorption characteristics. A comparison is given between the solutions to the inverse problem obtained using the new formalism and the geometric-optics approximation.

Transformation of Short Waves in a Nonuniform Flow Field on the Ocean Surface. The Effect of Wind Growth Rate Modulation

We develop a model of transformation of the short surface wave spectrum in the presence of a nonuniform flow on a water surface, in which the modulation of wind-wave growth rate is taken into account. The model of a turbulent near-water atmospheric layer is used to calculate the modulated growth rate. In this model, turbulent stresses in the wind are described using a gradient approximation with model eddy viscosity specified with allowance for the known laboratory experiments. The examples of short-wave modulation in the presence of nonuniform flows on a water surface, originating from ripples and intense internal waves, are considered. It is shown that deformations of the wind-velocity profile and its long-wavelength perturbation due to the nonlinear interaction between the wind surface waves and the wind has a significant effects on the short-wave growth rate and its modulation. In the case of ripples, this deformation reduces to an increase in the roughness parameter of the wind-velocity profile and to a velocity-profile modulation with ripple period. The modulated growth rate is calculated within the framework of a quasi-linear model of surface-wave generation by a turbulent wind, in which the hypothesis of random phases of the wind-wave field is used. The amplitude and phase of the hydrodynamical modulation transfer function are calculated within the framework of the relaxation model. The calculation results are in reasonable agreement with the available experimental data. A model described by the combined Korteweg–de Vries equation is used to study a surface flow field generated by intense internal waves. The internal-wave parameters are takes from the results of the COPE experiment. We calculate the wind growth-rate dependences on the wave-train phase for the cases of downwind and upwind propagation of an internal wave. The calculation results agree qualitatively with experimental data.

The relative influence of different types of magnetotelluric data on joint inversions

Diverse magnetotelluric data (apparent resistivity, phase or geomagnetic transfer function) used during the inversion process provide different information on the model as a consequence of data error. The relative influence of these data constitutes a subject of interest on the inversion process. This influence can be evaluated from the error ratio between two types of data; thus, when phase and the logarithm of apparent resistivity are involved, the well-known ratio of one half is obtained. A new error ratio between the geomagnetic transfer function and the logarithm of apparent resistivity is presented. We deduced this ratio, which is bounded by one half of the amplitude of the geomagnetic transfer function. In order to verify this new ratio, we employed a technique based on the study of the RMS misfit, obtained after an intensive inversion computation whilst taking different error values for the different data. This technique was applied to synthetic and experimental data, and the results agree with the proposed value. This value should be taken into account for setting error floors when performing joint data inversion in order to obtain the same influence from the different data.

Fast practical evaluation of soil–structure interaction of embedded structures

A simple and fast evaluation method of soil–structure interaction (SSI) effects of embedded structures is presented via a cone model. The impedances and the effective input motions at the bottom of an embedded foundation are evaluated by means of the cone model. Those quantities are transformed exactly to the corresponding values at the top of the foundation. The evaluated quantities are combined with the super-structure at the top of the foundation. The transfer function amplitude of the interstory drift of a single-degree-of-freedom super-structure is computed for various cases, i.e. no SSI, SSI without embedment, SSI with shallow embedment, SSI with deep embedment. Soil properties are also varied to investigate in more detail the SSI effects of embedded structures. It is found that, while the transfer function amplitude is reduced by the increase of embedment in general, the characteristics of the transfer function amplitude for a very small ground shear wave velocity and large embedment are irregular and complicated.

Fish cage and mooring system dynamics using physical and numerical models with field measurements

As wild fish stocks decline, marine aquaculture is expected to play an increasing role in satisfying the global need for seafood. Since the expansion of near-shore aquaculture is becoming more difficult because of multi-use issues and environmental impact concerns, the feasibility of moving aquaculture into the open ocean is being studied. To enable the optimum design and evaluation of fish cage and mooring performance in the energetic open ocean, physical and numerical modeling techniques are being utilized. To validate these methods, the dynamics of a fish cage and mooring system deployed in the Gulf of Maine are simulated with physical and numerical models and compared with field observations. Assuming that the system can be modeled as a linear system, a stochastic approach was used to analyze the motion response (heave, surge and pitch) characteristics of the fish cage and the load (tension) response in an anchor line to wave forcing. Transfer functions were calculated from field observations for storm events and used to understand the system dynamics and to validate the models for the deployed system. Fish cage heave and surge motions were found to be overdamped, while pitch exhibited a resonance at low frequencies (less than 0.1 Hz). Transfer functions for anchor line tension were consistent with observations over most of the wave frequencies. The physical model clearly revealed the pitch resonance, while the numerical model was better at predicting mooring line tension. Results also provided insight concerning dynamical processes that require further study, including fluid–net panel interaction, transfer function amplitude dependence and the nonlinear relationship between steady current and wave fluid velocity on drag and its effect on system geometry and therefore response.

Characterization of the performance of a 200-kV field emission gun for cryo-electron microscopy of biological molecules

The value of an electron microscope equipped with a field emission gun (FEG) was first revealed in materials science applications. More recently, the FEG has played a crucial role in breaking the 10Å barrier in single-particle reconstructions of frozen hydrated biological molecules. The standard high-resolution performance tests for electron microscopes are made close to focus, at several hundreds of Å underfocus at a magnification of 500 000× or more. While this is appropriate for materials science specimens, it is not suitable for observing frozen hydrated biological specimens with which the optimum underfocus is of the order of 1 micron or so and the magnification is limited by radiation damage to roughly 30 000 to 60 000× . Thus, in order to access the performance of a cryo-electron microscope for high-resolution 3D electron microscopy of biological molecules, additional tests are necessary. We present here resolution tests of a 200-kV FEG using frozen hydrated virus suspensions. The extent and amplitude of the contrast transfer function are used as a test of the performance. We propose that small spherical viruses close to 300 Å in diameter, such as the picornaviruses or phages, make good specimens for testing the performance of an electron microscope in cryo-mode.

Spectrum-modulation method for measuring the amplitude and phase characteristics of time-varying optical signals and transfer functions

The solution of the phase problem in optics, as applied to the determination of the amplitude and phase characteristics of optical signals varying in time and of the transfer functions of media transmitting the signals, is considered. The solution of this problem is based on using the spectrum-modulation method. In particular, the possibility of studying ultrashort processes is considered. The analysis was performed by probing the medium with an optical signal of an arbitrary structure. To obtain the information required, we used a four-channel optical arrangement with a spectral instrument, which records the intensity distributions directly for the signal under study after it passed through the medium; for the signal that was preliminary modulated in the specific manner and then passed through the medium; for the signal that was additionally modulated after passing through the medium; and for the signal that was additionally modulated both before and after passing through the medium. Each of these modulations should provide, to some extent, visualization of the phase information. Two variants of analysis were considered. In the first variant, the influence of the medium to be analyzed on the radiation considered is represented as modulation of the latter in time. The second variant is associated with studying the medium, whose influence on the signal brings about time-redistribution of the radiation and is described by a convolution operation.

Detection of porcine oleic acid-induced acute lung injury using pulmonary acoustics

To evaluate the utility of monitoring the sound-filtering characteristics of the respiratory system in the assessment of acute lung injury (ALI), we injected a multifrequency broadband sound signal into the airway of five anesthetized, intubated pigs, while recording transmitted sound over the trachea and on the chest wall. Oleic acid injections effected a severe lung injury predominantly in the dependent lung regions, increasing venous admixture from 6 +/- 1 to 54 +/- 8% (P < 0.05) and reducing dynamic respiratory system compliance from 19 +/- 0 to 12 +/- 2 ml/cmH(2)O (P < 0.05). A two- to fivefold increase in sound transfer function amplitude was seen in the dependent (P < 0.05) and lateral (P < 0.05) lung regions; no change occurred in the nondependent areas. High within-subject correlations were found between the changes in dependent lung sound transmission and venous admixture (r = 0.82 +/- 0.07; range 0.74-0.90) and dynamic compliance (r = -0.87 +/- 0.05; -0.80 to -0.93). Our results indicate that the acoustic changes associated with oleic acid-induced lung injury allow monitoring of its severity and distribution.