Biomedical Optics

Chapter 4 - Convolution for Broadbeam Responses

4.1.   INTRODUCTION

The Monte Carlo program MCML, introduced in Chapter 3, computes responses
to a pencil beam normally incident on a multilayered scattering medium. These
responses are referred to as Green’s functions or impulse responses. When a
collimated photon beam is of finite width, the Monte Carlo method is still able
to compute the responses by distributing the incident positions over the cross
section of the beam. Each broad beam, however, requires a new time-consuming
Monte Carlo simulation, even if the other parameters are unchanged. Convolution
of Green’s functions for the same multilayered scattering medium, however,
can efficiently compute the responses to a broad beam. Such convolution was
implemented in a program named CONV (Appendix 4A). Like MCML, CONV
is written in ANSI Standard C and hence can be executed on various computer
platforms. Although convolution is applicable to collimated beams of any intensity
distribution, only Gaussian and top-hat (flat-top) beams are considered in
CONV version 1.

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