TY - JOUR

T1 - Constructive Model of Object Image Formation in Partially Coherent Light

AU - Chugui, Yu V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - A constructive theory of the formation of images of one-dimensional binary objects in a partially coherent diffraction-limited projection system with an arbitrary ratio of the angular sizes of the light source and aperture diaphragm is developed. The solution of the two-dimensional problem for such objects can be reduced to a one-dimensional problem, i.e., to calculating the integral in the form of convolution of the object with a generalized aperture response whose spectrum has a tapered profile determined by system parameters. The convolution integral is further subjected to a nonlinear transformation whose level is defined by the ratio of the angular sizes of the source and aperture diaphragm. It is shown that the profile of images formed in partially coherent light is determined by the threshold characteristic of the system that ensures reliable detection of the binary object boundaries. An approximation of this characteristic is proposed. The theory admits a simple physical interpretation of phenomena that occur in partially coherent projection systems.

AB - A constructive theory of the formation of images of one-dimensional binary objects in a partially coherent diffraction-limited projection system with an arbitrary ratio of the angular sizes of the light source and aperture diaphragm is developed. The solution of the two-dimensional problem for such objects can be reduced to a one-dimensional problem, i.e., to calculating the integral in the form of convolution of the object with a generalized aperture response whose spectrum has a tapered profile determined by system parameters. The convolution integral is further subjected to a nonlinear transformation whose level is defined by the ratio of the angular sizes of the source and aperture diaphragm. It is shown that the profile of images formed in partially coherent light is determined by the threshold characteristic of the system that ensures reliable detection of the binary object boundaries. An approximation of this characteristic is proposed. The theory admits a simple physical interpretation of phenomena that occur in partially coherent projection systems.

KW - image formation

KW - intensity

KW - light diffraction

KW - object boundary

KW - partially coherent light

KW - spatial filtration

UR - http://www.scopus.com/inward/record.url?scp=85073642643&partnerID=8YFLogxK

U2 - 10.3103/S8756699019030105

DO - 10.3103/S8756699019030105

M3 - Article

AN - SCOPUS:85073642643

VL - 55

SP - 280

EP - 288

JO - Optoelectronics, Instrumentation and Data Processing

JF - Optoelectronics, Instrumentation and Data Processing

SN - 8756-6990

IS - 3

ER -