scholarly journals Tunable and adjustable broadband RF photonic fractional Hilbert transformer based on a Kerr soliton crystal optical microcomb

2021 ◽  
Author(s):  
David Moss
Keyword(s):  
Fractional Order ◽  
Spectral Range ◽  
Free Spectral Range ◽  
Phase Shifts ◽  
Phase Response ◽  
Experimental Results ◽  
Hilbert Transformer ◽  
Fractional Orders ◽  
Variable Center ◽  
Good Agreement

We demonstrate an RF photonic fractional Hilbert transformer based on an integrated Kerr micro-comb source featuring a record low free spectral range of 49 GHz. By programming and shaping the comb lines according to calculated tap weights for up to 39 wavelengths across the C-band, we achieve tunable bandwidths ranging from 1.2 to 15.3 GHz as well as variable center frequencies from baseband to 9.5 GHz, for both standard integral and arbitrary fractional orders. We experimentally characterize the RF amplitude and phase response of the tunable bandpass and lowpass Hilbert transformers with 90 and 45-degree phase shifts. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a powerful way to implement standard and fractional order Hilbert transformers with broad and variable bandwidths and center frequencies, with high reconfigurability and greatly reduced size and complexity.

scholarly journals Tunable and adjustable broadband RF photonic fractional Hilbert transformer based on a Kerr soliton crystal optical microcomb  

2021 ◽  
Author(s):  
Mengxi Tan ◽  
Xingyuan Xu ◽  
David Moss
Keyword(s):  
Fractional Order ◽  
Spectral Range ◽  
Free Spectral Range ◽  
Phase Shifts ◽  
Phase Response ◽  
Experimental Results ◽  
Hilbert Transformer ◽  
Fractional Orders ◽  
Variable Center ◽  
Good Agreement

Abstract We demonstrate an RF photonic fractional Hilbert transformer based on an integrated Kerr micro-comb source featuring a record low free spectral range of 49 GHz. By programming and shaping the comb lines according to calculated tap weights for up to 39 wavelengths across the C-band, we achieve tunable bandwidths ranging from 1.2 to 15.3 GHz as well as variable center frequencies from baseband to 9.5 GHz, for both standard integral and arbitrary fractional orders. We experimentally characterize the RF amplitude and phase response of the tunable bandpass and lowpass Hilbert transformers with 90 and 45-degree phase shifts. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a powerful way to implement standard and fractional order Hilbert transformers with broad and variable bandwidths and center frequencies, with high reconfigurability and greatly reduced size and complexity.

scholarly journals Adjustable RF photonic fractional Hilbert transformer based on Kerr microcombs

2021 ◽  
Author(s):  
David Moss
Keyword(s):  
Fractional Order ◽  
Spectral Range ◽  
Free Spectral Range ◽  
Phase Shifts ◽  
Phase Response ◽  
Experimental Results ◽  
Hilbert Transformer ◽  
Fractional Orders ◽  
Variable Center ◽  
Good Agreement

<p>We demonstrate an RF photonic fractional Hilbert transformer based on an integrated Kerr micro-comb source featuring a record low free spectral range of 49 GHz. By programming and shaping the comb lines according to calculated tap weights for up to 39 wavelengths across the C-band, we achieve tunable bandwidths ranging from 1.2 to 15.3 GHz as well as variable center frequencies from baseband to 9.5 GHz, for both standard integral and arbitrary fractional orders. We experimentally characterize the RF amplitude and phase response of the tunable bandpass and lowpass Hilbert transformers with 90 and 45-degree phase shifts. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a powerful way to implement standard and fractional order Hilbert transformers with broad and variable bandwidths and center frequencies, with high reconfigurability and greatly reduced size and complexity.</p>

scholarly journals Adjustable RF photonic fractional Hilbert transformer based on Kerr microcombs

2021 ◽  
Author(s):  
David Moss
Keyword(s):  
Fractional Order ◽  
Spectral Range ◽  
Free Spectral Range ◽  
Phase Shifts ◽  
Phase Response ◽  
Experimental Results ◽  
Hilbert Transformer ◽  
Fractional Orders ◽  
Variable Center ◽  
Good Agreement

<p>We demonstrate an RF photonic fractional Hilbert transformer based on an integrated Kerr micro-comb source featuring a record low free spectral range of 49 GHz. By programming and shaping the comb lines according to calculated tap weights for up to 39 wavelengths across the C-band, we achieve tunable bandwidths ranging from 1.2 to 15.3 GHz as well as variable center frequencies from baseband to 9.5 GHz, for both standard integral and arbitrary fractional orders. We experimentally characterize the RF amplitude and phase response of the tunable bandpass and lowpass Hilbert transformers with 90 and 45-degree phase shifts. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a powerful way to implement standard and fractional order Hilbert transformers with broad and variable bandwidths and center frequencies, with high reconfigurability and greatly reduced size and complexity.</p>

scholarly journals Tunable Broadband RF Photonic Fractional Hilbert Transformer Based on a Soliton Crystal Microcomb

2021 ◽  
Author(s):  
Mengxi Tan ◽  
Xingyuan Xu ◽  
David Moss
Keyword(s):  
Computer System ◽  
Fractional Order ◽  
Spectral Range ◽  
Free Spectral Range ◽  
Hilbert Transformer ◽  
University Of Technology ◽  
E Mail ◽  
Fractional Orders ◽  
Variable Center ◽  
Good Agreement

We demonstrate an RF photonic fractional Hilbert transformer based on an integrated Kerr micro-comb source featuring a record low free spectral range of 49 GHz. By programming and shaping the comb lines according to calculated tap weights for up to 39 wavelengths across the C-band, we achieve tunable bandwidths ranging from 1.2 to 15.3 GHz as well as variable center frequencies from baseband to 9.5 GHz, for both standard integral and arbitrary fractional orders. We experimentally characterize the RF amplitude and phase response of the tunable bandpass and lowpass Hilbert transformers with 90 and 45-degree phase shifts. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a powerful way to implement standard and fractional order Hilbert transformers with broad and variable bandwidths and center frequencies, with high reconfigurability and greatly reduced size and complexity. Tan, and D. J. Moss are with the Optical Sciences Centre, Swinburne University of Technology, Hawthorn, VIC 3122, Australia. (Corresponding e-mail: [email protected]). Xu is with the Electro-Photonics Laboratory, Department of Electrical and Computer System Engineering, Monash University, Clayton, 3800 VIC, Australia

scholarly journals hilbert

2020 ◽  
Author(s):  
David Moss
Keyword(s):  
Real Time ◽  
Spectral Range ◽  
High Performance ◽  
Free Spectral Range ◽  
Phase Response ◽  
Pass Band ◽  
Hilbert Transforms ◽  
Multi Wavelength ◽  
Fractional Orders ◽  
Good Agreement

We report a photonic microwave and RF fractional Hilbert transformer based on an integrated Kerr micro-comb source. The micro-comb source has a free spectral range (FSR) of 50GHz, generating a large number of comb lines that serve as a high-performance multi-wavelength source for the transformer. By programming and shaping the comb lines according to calculated tap weights, we achieve both arbitrary fractional orders and a broad operation bandwidth. We experimentally characterize the RF amplitude and phase response for different fractional orders and perform system demonstrations of real-time fractional Hilbert transforms. We achieve a phase ripple of &lt; 0.15 rad within the 3-dB pass-band, with bandwidths ranging from 5 to 9 octaves, depending on the order. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a new way to implement high-performance fractional Hilbert transformers with broad processing bandwidth, high reconfigurability, and greatly reduced size and complexity.

scholarly journals RF and microwave fractional differentiation with transversal filters using a soliton crystal microcomb multiwavelength source

2020 ◽  
Author(s):  
David Moss ◽  
Arnan Mitchell ◽  
Roberto Morandotti ◽  
xingyuan xu
Keyword(s):  
High Performance ◽  
Free Spectral Range ◽  
Fractional Differentiation ◽  
Temporal Response ◽  
Pulse Input ◽  
Transversal Filters ◽  
Multi Wavelength ◽  
Fractional Orders ◽  
Fractional Differentiator ◽  
Good Agreement

We report a photonic radio frequency (RF) fractional differentiator based on an integrated Kerr micro-comb source. The micro-comb source has a free spectral range (FSR) of 49 GHz, generating a large number of comb lines that serve as a high-performance multi-wavelength source for the differentiator. By programming and shaping the comb lines according to calculated tap weights, arbitrary fractional orders ranging from 0.15 to 0.90 are achieved over a broad RF operation bandwidth of 15.49 GHz. We experimentally characterize the frequency-domain RF amplitude and phase response as well as the temporal response with a Gaussian pulse input. The experimental results show good agreement with theory, confirming the effectiveness of our approach towards high-performance fractional differentiators featuring broad processing bandwidth, high reconfigurability, and potentially reduced sized and cost.

scholarly journals Microwave and RF non-integral order Hilbert transforms using a 49GHz FSR integrated optical micro-comb source

2021 ◽  
Author(s):  
mengxi tan ◽  
xingyuan xu ◽  
David Moss
Keyword(s):  
Real Time ◽  
High Performance ◽  
Free Spectral Range ◽  
Pass Band ◽  
Hilbert Transforms ◽  
Integrated Optical ◽  
Multi Wavelength ◽  
Fractional Orders ◽  
Integral Order ◽  
Good Agreement

Abstract We report a photonic microwave and RF fractional Hilbert transformer based on an integrated Kerr micro-comb source. The micro-comb source has a free spectral range (FSR) of 50GHz, generating a large number of comb lines that serve as a high-performance multi-wavelength source for the transformer. By programming and shaping the comb lines according to calculated tap weights, we achieve both arbitrary fractional orders and a broad operation bandwidth. We experimentally characterize the RF amplitude and phase response for different fractional orders and perform system demonstrations of real-time fractional Hilbert transforms. We achieve a phase ripple of < 0.15 rad within the 3-dB pass-band, with bandwidths ranging from 5 to 9 octaves, depending on the order. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a new way to implement high-performance fractional Hilbert transformers with broad processing bandwidth, high reconfigurability, and greatly reduced size and complexity.

scholarly journals Microwave and radio frequency fractional differentiation with a 49GHz Kerr soliton crystal microcomb source

2021 ◽  
Author(s):  
David Moss
Keyword(s):  
Radio Frequency ◽  
High Performance ◽  
Free Spectral Range ◽  
Fractional Differentiation ◽  
Temporal Response ◽  
Pulse Input ◽  
Multi Wavelength ◽  
Fractional Orders ◽  
Fractional Differentiator ◽  
Good Agreement

Abstract We report a photonic radio frequency (RF) fractional differentiator based on an integrated Kerr micro-comb source. The micro-comb source has a free spectral range (FSR) of 49 GHz, generating a large number of comb lines that serve as a high-performance multi-wavelength source for the differentiator. By programming and shaping the comb lines according to calculated tap weights, arbitrary fractional orders ranging from 0.15 to 0.90 are achieved over a broad RF operation bandwidth of 15.49 GHz. We experimentally characterize the frequency-domain RF amplitude and phase response as well as the temporal response with a Gaussian pulse input. The experimental results show good agreement with theory, confirming the effectiveness of our approach towards high-performance fractional differentiators featuring broad processing bandwidth, high reconfigurability, and potentially reduced sized and cost.

scholarly journals RF and microwave fractional differentiation with transversal filters using a soliton crystal microcomb multiwavelength source

2020 ◽  
Author(s):  
David Moss ◽  
Arnan Mitchell ◽  
Roberto Morandotti ◽  
xingyuan xu
Keyword(s):  
High Performance ◽  
Free Spectral Range ◽  
Fractional Differentiation ◽  
Temporal Response ◽  
Pulse Input ◽  
Transversal Filters ◽  
Multi Wavelength ◽  
Fractional Orders ◽  
Fractional Differentiator ◽  
Good Agreement

We report a photonic radio frequency (RF) fractional differentiator based on an integrated Kerr micro-comb source. The micro-comb source has a free spectral range (FSR) of 49 GHz, generating a large number of comb lines that serve as a high-performance multi-wavelength source for the differentiator. By programming and shaping the comb lines according to calculated tap weights, arbitrary fractional orders ranging from 0.15 to 0.90 are achieved over a broad RF operation bandwidth of 15.49 GHz. We experimentally characterize the frequency-domain RF amplitude and phase response as well as the temporal response with a Gaussian pulse input. The experimental results show good agreement with theory, confirming the effectiveness of our approach towards high-performance fractional differentiators featuring broad processing bandwidth, high reconfigurability, and potentially reduced sized and cost.

Inducing Frictional Force to Enhance the Transient Response in Beams

2019 ◽  
Vol 22 (2) ◽  
pp. 88-93
Author(s):  
Hamed Khanger Mina ◽  
Waleed K. Al-Ashtrai
Keyword(s):  
Numerical Analysis ◽  
Transient Response ◽  
Frictional Force ◽  
Damping Ratio ◽  
Experimental Results ◽  
Damping Capacity ◽  
Tightening Force ◽  
Contact Areas ◽  
Good Agreement ◽  
Ansys Workbench

This paper studies the effect of contact areas on the transient response of mechanical structures. Precisely, it investigates replacing the ordinary beam of a structure by two beams of half the thickness, which are joined by bolts. The response of these beams is controlled by adjusting the tightening of the connecting bolts and hence changing the magnitude of the induced frictional force between the two beams which affect the beams damping capacity. A cantilever of two beams joined together by bolts has been investigated numerically and experimentally. The numerical analysis was performed using ANSYS-Workbench version 17.2. A good agreement between the numerical and experimental results has been obtained. In general, results showed that the two beams vibrate independently when the bolts were loosed and the structure stiffness is about 20 N/m and the damping ratio is about 0.008. With increasing the bolts tightening, the stiffness and the damping ratio of the structure were also increased till they reach their maximum values when the tightening force equals to 8330 N, where the structure now has stiffness equals to 88 N/m and the damping ratio is about 0.062. Beyond this force value, increasing the bolts tightening has no effect on stiffness of the structure while the damping ratio is decreased until it returned to 0.008 when the bolts tightening becomes immense and the beams behave as one beam of double thickness.

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