Introduction

• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)

Room: Geb. 600 "CHyN", Floor 3, Room 301 - New research field in the post-LHC era: particle physics with microwaves - How can a researcher with particle physics background learn microwaves? Physics vs Engineering - Narrative of Akira Miyazaki "from quantum electrodynamics to superconducting radiofrequency"

Part 1: RF in free space (lecture)

• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)

Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 - Maxwell equations and Helmholtz equation (30mins) -- Plane wave solution -- Gaussian beam -- Higher-order Gaussian beam - Gaussian beam optics (30 mins) -- Gaussian lens formula -- Lens and mirrors - Integral form: diffraction of waves (30 mins) -- Airy disk diffraction -- Fourier transform

Part 1: RF in free space (exercise) Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 Gaussian optics with two lenses: practical example from 200 GHz system in Akira's PhD thesis 2014

Part 2: RF in confined space (lecture)

• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)

Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 - Material and boundary conditions (40 mins) -- Normal conductor -- Superconductor -- Dielectric material - Waveguide and coaxial lines (30 mins) -- Rectangular and cylindrical waveguide -- Cut-off frequency -- Coaxial lines - Resonators (50 mins) -- General resonator -- RF cavity -- Fabry-Pérot resonator

Part 2: RF in confined space (exercise) Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 Coaxial to rectangular transition: example in the textbooks by Posar and Jackson

Part 3: Equivalent circuit (lecture)

• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)

Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 - From (E, B) to (V, I) (30 mins) -- Physics meaning of the equivalent circuit -- Various impedances - Transmission line theory (30 mins) -- Generalized telegraphist’s equation -- Mode conversion in over-sized tapered waveguides - Circuit representation of resonators (30 mins) -- RLC circuit model -- Coupling and impedance matching

Part 3: Equivalent circuit (exercise) Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 Over / critical / under coupling in high-Q cavity: time domain simulation in C++ & GSL & ROOT

Part 4: Basic of RF measurement (lecture)

• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)

Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 - Analog and digital circuits (30 mins) -- Analog circuit components -- Analog down-conversion with superheterodyne -- Analog-to-digital conversion -- Digital down-conversion with under sampling - Our weapons (30 mins) -- Vector network analyzer -- Fast Fourier Transform -- Real-time spectrum analyzer - RF noise (30 mins) -- Dicke’s radiometer formula -- Noise power, Noise temperature and noise figure -- Noise equivalent power

Part 4: Basic of RF measurement (exercise) Room: Geb. 600, ChyN, 3rd Floor, Room 301/303 Data processing with Fast Fourier Transform: Time Domain Reflectometry of real data from ESS spoke cavity cryomodule, HL-LHC crab cavity, and MADMAX setup

Visit to facilities

• Marc Wenskat (UHH / DESY)
• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)

- ALPSII (IR Fabry-Pérot resonators for axions) - AMTF (Superconducting RF cavities for particle accelerators)

Part 5: RF applications for various physics fields

• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)
• Giovanni Marconato (MSL (Supraleitende Beschleuniger Technologie))
• David Leppla-Weber (ALPS (ALPS _ Any Light Particle Search))

Room: Geb. 600, Floor 3, Room 303 - Axion experiments - Gravitational waves - Particle Accelerator

Closing session

• Akira Miyazaki (CNRS/IN2P3/IJCLab Université Paris-Saclay)