Wave Sensitivities of Networks

Bandler, J.W.; Seviora, R.E.

doi:10.1109/tmtt.1972.1127697

Cited by 52 publications

(20 citation statements)

References 11 publications

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“…The sensitivities of the -parameters of microwave circuits have been discussed extensively in the microwave literature; see, e.g., [7]- [11]. Here, we only show that the same principles apply as in the case of current-voltage responses.…”

Section: Adjoint Network -Parameter Sensitivities Based On Wave mentioning

confidence: 57%

“…After imposing the relation (10) between the currents and the voltages of the respective element in the auxiliary circuit, we obtain (11) The voltage-current relation in (10) defines the state equations for the component in the auxiliary circuit [see Fig. 1(b)].…”

Section: B Circuit Sensitivitiesmentioning

confidence: 99%

“…Here, we only show that the same principles apply as in the case of current-voltage responses. For that, it would suffice to state the generalized Tellegen theorem in wave variables [8], [11], [45] for any two topologically identical networks (35) Here, and are vectors containing the incident and reflected waves, respectively, at all junctions in the first network, and and contain the corresponding wave variables of the second network. The voltage-current Tellegen theorem (2) can be easily transformed into (35) by a substitution of the relation between the voltage and current of a branch and its wave variables and [45] as follows: (36) where is a normalization impedance.…”

Section: Adjoint Network -Parameter Sensitivities Based On Wave mentioning

confidence: 99%

See 2 more Smart Citations

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Nikolova

Bandler

Bakr

2004

IEEE Trans. Microwave Theory Techn.

Self Cite

102

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Abstract-There is a revival of the interest in adjoint sensitivity analysis techniques. This is partly because current computer-aided-design software based on full-wave electromagnetic (EM) solvers remains too slow for the purposes of practical high-frequency structure design despite the increasing capacity of computers. The adjoint-variable methods for design sensitivity analysis offer computational speed and accuracy. They can be used for efficient gradient-based optimization, in tolerance and yield analysis. Adjoint-based sensitivity analysis for circuits has been well studied and extensively covered in the microwave literature. In comparison, sensitivities with full-wave analysis techniques have attracted little attention, and there have been few applications into feasible and versatile algorithms. We review adjoint-variable methods used in high-frequency structure design with both circuit analysis techniques and full-wave EM analysis techniques. A brief discussion on adjoint-based sensitivity analysis for nonlinear dynamic systems is also included.

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Section: Adjoint Network -Parameter Sensitivities Based On Wave mentioning

confidence: 57%

Section: B Circuit Sensitivitiesmentioning

confidence: 99%

Section: Adjoint Network -Parameter Sensitivities Based On Wave mentioning

confidence: 99%

See 1 more Smart Citation

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Nikolova

Bandler

Bakr

2004

IEEE Trans. Microwave Theory Techn.

Self Cite

102

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“…From (1), with direct differentiation, we obtain (4) Although (4) can be subsequently used for calculating exact sensitivities, we are mainly interested in the computation of the sensitivity of the global objective function rather than the sensitivity of the state variable . In such a case, the use of the adjoint network method [13] provides an efficient computational scheme which can be summarized in the following expressions: (5) where reflects the explicit behavior of the global objective function on the vector of design parameters and on the state vector . The adjoint variable vector is a solution to the following matrix equation: (6) Equation (5) combined with (6) form the basis for the adjoint network method.…”

Section: Hybrid Computational Scheme For Calculating Sensitivitiementioning

confidence: 99%

“…Second, for the optical characterization of metallic materials, a simplified temperature-independent Drude model has been used so far [8], thus prohibiting the thermal properties of these nanocomposites to be studied. Taking all the above circumstances into account, in this letter, we describe a novel sensitivity analysis technique based on a hybrid formalism of the scattering matrix method [9]- [11] with the adjoint network method [12], [13], for performing fast and accurate sensitivity calculations in PCs. Such an analytical technique which permits the study of both structural and temperature fluctuations in PCs will be reported for the fist time.…”

mentioning

confidence: 99%

Theoretical prediction of thermooptical and structurally disordered sensitivities in metallo-dielectric photonic crystals

Florous

Saitoh

Koshiba

2006

IEEE Photon. Technol. Lett.

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Abstract-In this letter, we introduce a novel computational technique for predicting thermal and structural sensitivities in metallo-dielectric photonic crystals (PCs). The computational scheme is based on a hybrid formalism of the scattering matrix technique combined with the adjoint network method. The proposed technique can predict with high accuracy the impact of temperature fluctuations or structural disorders, to the lightwave propagation in PCs, without additional computational effort. Numerical simulations show that PC circuits based on metallic-metamaterial platforms are significantly less sensitive to temperature variations in comparison to usual dielectric PCs.

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A delta‐method technique in the wavelet domain to determine statistical quantities of the response of electromagnetic devices with uncertain parameters

Barmada

Musolino

Raugi

et al. 2011

Int J Numerical Modelling

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In this paper a method to determine the mean value and the variance of the response of a system with uncertain parameters is proposed. With the term 'response of a system' we indicate either the value of a single parameter that represents a figure of merit of a device (e.g. the efficiency of a transmission system or the band width of a communication channel) or a characteristic function of the system (e.g. the impulse or the frequency response). In the latter case we estimate the mean value and the variance at every sample of the response. The estimate is performed by using the delta method, a technique for approximating expected values of functions of random variables when the direct evaluation is not feasible. Two examples of the application of the proposed procedure are reported and the results are compared with simulations performed by a Monte Carlo analysis

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Wave Sensitivities of Networks

Cited by 52 publications

References 11 publications

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Theoretical prediction of thermooptical and structurally disordered sensitivities in metallo-dielectric photonic crystals

A delta‐method technique in the wavelet domain to determine statistical quantities of the response of electromagnetic devices with uncertain parameters

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