Unshackling solitons through ultimate dispersion control. The project aims to generate and investigate several novel families of self-stabilising optical pulses by using a unique fibre laser we recently devised. By developing the associated theoretical models, the team will transform conceptual and experimental knowledge of nonlinear physics, providing deep insights into fibre lasers and the pulses they can emit. The expected outcomes are a complete understanding of entirely novel families of op ....Unshackling solitons through ultimate dispersion control. The project aims to generate and investigate several novel families of self-stabilising optical pulses by using a unique fibre laser we recently devised. By developing the associated theoretical models, the team will transform conceptual and experimental knowledge of nonlinear physics, providing deep insights into fibre lasers and the pulses they can emit. The expected outcomes are a complete understanding of entirely novel families of optical pulses, and of the degree to which the energy required to generate these pulses can be reduced. Reducing this energy means that these pulses can perform the same function at lower power, which will enable the emergence of new applications that will play powerful roles in the 21st-century economy.Read moreRead less
Catching the fast waves: high speed RF sensing using Brillouin scattering. This project aims to develop a room temperature approach to fast sensing of microwave electromagnetic waves by harnessing stimulated Brillouin Scattering (SBS), simultaneously achieving high frequency range, high resolution and high-speed performance. This project expects to generate new knowledge in microwave photonics and SBS, specifically elucidating the transient temporal response of SBS. Expected outcomes of this pro ....Catching the fast waves: high speed RF sensing using Brillouin scattering. This project aims to develop a room temperature approach to fast sensing of microwave electromagnetic waves by harnessing stimulated Brillouin Scattering (SBS), simultaneously achieving high frequency range, high resolution and high-speed performance. This project expects to generate new knowledge in microwave photonics and SBS, specifically elucidating the transient temporal response of SBS. Expected outcomes of this project include a proof of concept RF sensor that has multi-Gigahertz real-rime instantaneous bandwidth with high-resolution that can be miniaturized on to a chip. This compact RF sensor, will play a vital role for situational awareness in space, defence and communications applications. Read moreRead less
Measuring uncertainty in global housing markets and its risk to Australia. This project aims to develop and construct a measure of systemic risk for the national real-estate markets in Australia, and its main trading partners, namely China, Japan, New Zealand, United Kingdom and United States of America. Recently developed methodology will be used to investigate how real estate risks migrate across these countries over time, and during periods of financial turbulence. This methodology is intende ....Measuring uncertainty in global housing markets and its risk to Australia. This project aims to develop and construct a measure of systemic risk for the national real-estate markets in Australia, and its main trading partners, namely China, Japan, New Zealand, United Kingdom and United States of America. Recently developed methodology will be used to investigate how real estate risks migrate across these countries over time, and during periods of financial turbulence. This methodology is intended to be employed as part of a market stability surveillance program and for assessing the impact of real-estate risk on the overall economy. Early detection of the onset of future housing bubble collapses would be of significant benefit to policy makers, Australia’s trading partners, the real estate industry and ultimately home buyers.Read moreRead less
Shear stimulated Brillouin microscopy for cell mechanobiology. This project aims to develop novel technology for non-contact imaging of micro-mechanical properties in cells and tissues to answer fundamental questions of cell mechnanobiology. Based on principles of Brillouin light scattering, the project takes advantage of a radio-frequency lock-in detection scheme. The project will result in a real-time, high-sensitivity, non-contact 3D imaging solution for spatial characterisation of cell's loc ....Shear stimulated Brillouin microscopy for cell mechanobiology. This project aims to develop novel technology for non-contact imaging of micro-mechanical properties in cells and tissues to answer fundamental questions of cell mechnanobiology. Based on principles of Brillouin light scattering, the project takes advantage of a radio-frequency lock-in detection scheme. The project will result in a real-time, high-sensitivity, non-contact 3D imaging solution for spatial characterisation of cell's local stiffness and compressibility. This will underpin the advancement of knowledge in the area of cell mechanobiology and the investigation of diseases, where microscale changes in cell mechanical properties lead to cell dysfunction and apoptosis.Read moreRead less
Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave sec ....Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave security scanners. This should provide benefits such as the capability to scan a crowd without a checkpoint, which will have the potential to improve security in public places.Read moreRead less
Harnessing opto-acoustic interactions for on-chip optical isolation. The project aims to develop practical on-chip photonic isolators – one-way optical circuits – by harnessing light–sound interactions in a nanoscale platform novel in its materials, design and mechanism. The project should develop new nanofabrication techniques and transform understanding of the physics of one-way photonic processes. Expected outcomes include enhanced design and fabrication capabilities for photonic circuits, ul ....Harnessing opto-acoustic interactions for on-chip optical isolation. The project aims to develop practical on-chip photonic isolators – one-way optical circuits – by harnessing light–sound interactions in a nanoscale platform novel in its materials, design and mechanism. The project should develop new nanofabrication techniques and transform understanding of the physics of one-way photonic processes. Expected outcomes include enhanced design and fabrication capabilities for photonic circuits, ultra-compact, high-performance optical isolators and circulators that shield sensitive optical components, and a suite of theoretical tools for describing propagation and noise in these devices. These new high performance photonic circuits should benefit telecommunications, radar, defence, and sensing applications. Read moreRead less
A Functional Analysis of the Hypoelliptic Laplacian. Strike a bell, a sphere, or any geometrical object, and it rings. The frequencies of ringing are the mathematical spectrum, which encodes deep secrets about the shape of the object. The spectrum of the hypoelliptic laplacian is known to carry deep truths in mathematics and physics, but it remains difficult to understand. We propose a new analytic foundation, which will replace the so far non-analytical ad hoc approach, and make accessible many ....A Functional Analysis of the Hypoelliptic Laplacian. Strike a bell, a sphere, or any geometrical object, and it rings. The frequencies of ringing are the mathematical spectrum, which encodes deep secrets about the shape of the object. The spectrum of the hypoelliptic laplacian is known to carry deep truths in mathematics and physics, but it remains difficult to understand. We propose a new analytic foundation, which will replace the so far non-analytical ad hoc approach, and make accessible many new results. It is key to better understanding differential equations which lie at the boundary between quantum mechanics and the classical world. This will pave the way for Australian leadership in a new century of differential equations and geometry, and training of young mathematicians.Read moreRead less
Sustainable fiscal federalism and reform of the GST distribution system. The primary source of funds for Australian States and Territories is GST revenue distributed by the Commonwealth using an equalisation formula that has proved to be politically unsustainable and in recent times manifestly inadequate to provide the revenue needed in response to crises and natural disasters. A tipping point has been reached and reform is urgently needed. Drawing on international experience with GST distributi ....Sustainable fiscal federalism and reform of the GST distribution system. The primary source of funds for Australian States and Territories is GST revenue distributed by the Commonwealth using an equalisation formula that has proved to be politically unsustainable and in recent times manifestly inadequate to provide the revenue needed in response to crises and natural disasters. A tipping point has been reached and reform is urgently needed. Drawing on international experience with GST distributions specifically and fiscal federalism more generally, the project aims to develop a reform blueprint for a sustainable and equitable fiscal federalism regime in Australia that best aligns with Australia’s current and long-term fiscal needs.Read moreRead less
Mathematics for future magnetic devices. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential
equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to
three orders of magnitude faster switching speeds and dramatically increased data storage density. New
mathematical theories will help understand their sensitivity to small random fluctuations that can destroy stored
information. Th ....Mathematics for future magnetic devices. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential
equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to
three orders of magnitude faster switching speeds and dramatically increased data storage density. New
mathematical theories will help understand their sensitivity to small random fluctuations that can destroy stored
information. This project aims to revolutionise mathematical modelling of magnetic memories and put Australia at
the forefront of international research. Technological advances to create much smaller and faster memory devices
are expected to enable groundbreaking ways of managing and mining big dataRead moreRead less
Uncertainty on spheres and shells: mathematics and methods for applications. This project aims to develop new mathematics and mathematically rigorous approximation methods for physical problems on spherical geometries in the presence of uncertainty. Many physical phenomena are modelled on either a sphere or a spherical shell. Such models typically have large uncertainty in the input data, through uncertainty in model coefficients, forcing terms, geometry or boundary conditions. Yet their stochas ....Uncertainty on spheres and shells: mathematics and methods for applications. This project aims to develop new mathematics and mathematically rigorous approximation methods for physical problems on spherical geometries in the presence of uncertainty. Many physical phenomena are modelled on either a sphere or a spherical shell. Such models typically have large uncertainty in the input data, through uncertainty in model coefficients, forcing terms, geometry or boundary conditions. Yet their stochastic modelling and subsequent numerical analysis in the presence of uncertainty are still in their infancy. This project will conduct numerical analysis, stochastic analysis and approximation to address such problems.Read moreRead less