[15a-S4_201-1~10] 3.1 Basic optics and frontier of optics

9:30 AM - 9:45 AM JST(12:30 AM - 12:45 AM UTC)

[15a-S4_201-3] Orthogonal Sampling Functional Systems for Finite Fresnel Transform

〇Tomohiro Aoyagi¹, Kouichi Ohtsubo¹ (1.Toyo Univ.)

Keywords:

Fresnel transform,sampling theorem,double Fourier series expansion

Our main aim is to derive new functional systems with respect to Fresnel transformation to analyze an optical system. By applying double Fourier series to the finite region, the sampling theorem for Fresnel transform pair in rectangular coordinate system can be derived.
As a side result, new orthogonal functional systems which are expressed by the integral equation are induced.