NOTE ON SPHERICAL MIRRORS

Quantum Radiation of Uniformly Accelerated Spherical Mirrors

We study quantum radiation generated by a uniformly accelerated motion of small spherical mirrors. To obtain Green’s function for a scalar massless field we use Wick’s rotation. In the Euclidean domain the problem is reduced to finding an electric potential in 4D flat space in the presence of a metallic toroidal boundary. The latter problem is solved by a separation of variables. After performi...

A new reflecting microscope objective with two concentric spherical mirrors.

An Economical and Efficient Image Capturing Technique Using Spherical Mirrors

Today, security cameras used in stores and buildings have a limited area of vision. Multiple cameras are needed if a larger area is to be covered. With the technique described in this paper, it is possible to get a 360-degree panoramic vision by using a spherical mirror placed vertically with respect to a camera. First, image reflected from a spherical mirror is captured with a regular camera a...

Capturing wide field of view light fields using spherical mirrors

This project idea is motivated from the image based lighting technique presented in the class, where a single spherical mirror is used as a light probe for image based lighting. The project used an array of spherical mirrors arranged in a fixed pattern to capture the light field of the surrounding. The main steps in the project involved construction of a spherical mirror array of a fixed patter...

Tight focusing of plane waves from micro-fabricated spherical mirrors.

We derive a formula for the light field of a monochromatic plane wave that is truncated and reflected by a spherical mirror. Within the scalar field approximation, our formula is valid even for deep mirrors, where the aperture radius approaches the radius of curvature. We apply this result to micro-fabricated mirrors whose size scales are in the range of tens to hundreds of wavelengths, and sho...