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Simulation and Modelling



                      Notes         12.1 Experimental Layout


                                    Validation of design rules taking into account fine details such as line-edge roughness, and full
                                    chip layout simulation for design inconsistencies, before actual fabrication, are among the main
                                    objectives  of current  software assisted metrology tools. Line-edge roughness quantification
                                    should accompany Critical Dimension (CD) measurements since it could be a large fraction of
                                    the total CD budget. A detailed simulation and metrology approach  of line-edge roughness
                                    quantification versus the length scales in a layout are presented in this work using a combination
                                    of electron beam simulation for the exposure part, and stochastic simulations for the modeling
                                    of resist film, postexposure bake, and resist dissolution. The method is applied also on a test
                                    layout  with critical dimension of 200 nm and the resulted simulation and scanning electron
                                    microscopy images are compared with the aid of a pattern matching algorithm which enables
                                    the identification of the desired layout for metrology on a complex  layout containing many
                                    printed features.

                                    12.2 Validation


                                    It starts with a short review of arguments used in the simsoc mailing list discussion on theory,
                                    simulation and explanation a few months ago, deals with the use of quantitative and qualitative
                                    computational  models to make quantitative  and  qualitative  predictions  or  rather  to  draw
                                    conclusions from complex antecedents, and then discusses different types of explanation and
                                    prediction (and the relation between these two), It closes with an overview of topics in validity
                                    and validation from the point of  view of  the structuralist  programme in the philosophy of
                                    science.
                                    A few months ago, the simsoc mailing list experienced a longish discussion1 which originated
                                    from Thomas Kron’s  question “about the relation  of computer simulation and explanation,
                                    especially sociological explanation”. More than fifty contributions to this discussion followed
                                    within less than three weeks, and contributors discussed the role of simulation in theory building
                                    (mostly, but not only) in the social, economic and management sciences—as well as the relation
                                    between observation on one hand and computer-assisted theory building (Hanneman 1988) on
                                    the other. Scott Moss came back to his presidential address at the 1st conference of the European
                                    Social Simulation Association, Groningen,  September 2003, in which he said  “that if  social
                                    simulation with agents is to be anything other than another in the long line of failed approaches
                                    to social science, it will be a positive departure only because  it facilitates the dominance of
                                    observation over theory” and continued that the great successful scientists (outside the social
                                    sciences) built their generalisations around observation, developing new theoretical structures
                                    based on and validated by new evidence (quoted from his contribution to the simsoc mailing
                                    list as of November 14, 2003). Well in the line of this trait of thinking is the role of simulation or
                                    computational modeling which can be found in Gilbert and Troitzsch 1999 which was recently
                                    extended by Alexis Drogoul (Drogoul et al. 2003: 5) and can be seen in Figure 12.1.





















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