School of Science Department of Physics 69 Time-Varying Metamaterials Supervisor: LI Jensen Tsan Hang / PHYS Student: YIP Heung Kit / PHYS-IRE FAN Wai Hin / PHYS-IRE Course: UROP1100, Summer UROP2100, Summer This report aims to experimentally study the properties of a digitally virtualized acoustic metamaterial first proposed by Wen et. al.. We attempt to reproduce Wen et. al.’s temporal effective medium on an expanded analogous experimental platform with more metaatoms than in the original paper, and attempt to empirically verify our own predictions that a bandgap exists in this metamaterial. We produce and discuss evidence that indicates the realization of a temporal effective medium on our platform similar to Wen et. al., as well as evidence that suggests that the predicted bandgap exists, provided that the metamaterial contains enough metaatoms to enter the effective medium regime. Monte Carlo Simulation of 2D Supramolecular Assembly Supervisor: LIN Nian / PHYS Student: HUI Lik Hang Alpha / SSCI Course: UROP1000, Summer This is a report on simulation with molecular assembly using Kinetic Monte Carlo simulation with Fortran being the language used for the core of the program and Matlab, Excel or other program or platform as support on data analysis. We would be mainly talking about some basic concepts including the equations involved in the simulation of atoms on plane and basic assumptions, how some functions are coded with the logic behind and also some final simulation results with the program developed and conclusion of these data. Quantum State Calculation of Two-dimensional Supramolecular Nanostructures Supervisor: LIN Nian / PHYS Student: CHAN Pak Yin / PHYS Course: UROP1100, Fall This project is aimed to simulate a system of a two-dimensional supramolecular nanomolecule using the MATLAB program. However, there are several unexpected errors due to the MATLAB program itself. To put it briefly, the output parameters (pillar size and pillar potential) after Fourier Transformation has a certain variation from the input values which significantly affect the outcomes. In this paper, the error affecting the pillar potential would be discuss only, while the quantitative analysis for the errors as well as the solution would be conducted. Meanwhile, it is found that the radius difference over layer-to-layer will cause the extra potential difference over layer-tolayer. The qualitative adjustment will be discussed since the construction of the flat band due to an individual change of radius of each layer would also been discussed.