Abstract: A merging unit merges partial models into an entire model, and divides a grid of a parent hierarchy into grids of a child hierarchy based on hierarchical relationship of partial models, and an object selecting unit divides a grid of an object inclusion domain that includes an object selected from the entire model by a user to create a sub grid domain, and a domain selecting unit divides a grid of a domain selected from the entire model by the user to create the sub grid domain.

Abstract: Two centerlines each of which goes through the center of a surface and is parallel to one of the coordinate axes are considered for each surface constituting a cell. If one of the centerlines intersects a boundary, a line which goes through the intersection and is orthogonal to the centerline is approximated as a new boundary. If a boundary intersects with each of the two centerlines, an orthogonal line expressed by each of two lines which is obtained by crossing each of the two centerlines parallel to each different coordinate axis and a boundary is approximated as a new boundary. Thus, the new boundary is expressed by each part of these orthogonal lines toward the centerline from their intersection.

Abstract: A merging unit merges partial models into an entire model, and divides a grid of a parent hierarchy into grids of a child hierarchy based on hierarchical relationship of partial models, and an object selecting unit divides a grid of an object inclusion domain that includes an object selected from the entire model by a user to create a sub grid domain, and a domain selecting unit divides a grid of a domain selected from the entire model by the user to create the sub grid domain.

Abstract: Two centerlines each of which goes through the center of a surface and is parallel to one of the coordinate axes are considered for each surface constituting a cell. If one of the centerlines intersects a boundary, a line which goes through the intersection and is orthogonal to the centerline is approximated as a new boundary. If a boundary intersects with each of the two centerlines, an orthogonal line expressed by each of two lines which is obtained by crossing each of the two centerlines parallel to each different coordinate axis and a boundary is approximated as a new boundary. Thus, the new boundary is expressed by each part of these orthogonal lines toward the centerline from their intersection.

Abstract: An electromagnetic wave analyzer and program which can handle non-uniform cells with smaller computation errors. A given computational domain is divided into a plurality of cells for the purpose of finite difference approximation. For each space point, a cell size identification unit identifies the uniformity of surrounding cells. When the surrounding cells are identified as being uniform in size, a first calculation unit calculates electromagnetic field components at that space point with a first calculation method. When the surrounding cells are identified as being non-uniform in size, a second calculation unit calculates the same with a second calculation method which has smaller computational errors than the first calculation method. A data output unit then outputs the calculated electromagnetic field values.

Abstract: An electromagnetic wave analyzer and program which can handle non-uniform cells with smaller computation errors. A given computational domain is divided into a plurality of cells for the purpose of finite difference approximation. For each space point, a cell size identification unit identifies the uniformity of surrounding cells. When the surrounding cells are identified as being uniform in size, a first calculation unit calculates electromagnetic field components at that space point with a first calculation method. When the surrounding cells are identified as being non-uniform in size, a second calculation unit calculates the same with a second calculation method which has smaller computational errors than the first calculation method. A data output unit then outputs the calculated electromagnetic field values.

Abstract: An electromagnetic wave analyzer which numerically analyzes the behavior of electromagnetic waves at a higher computation speed, even when the object model has fine geometrical features. An analysis command input unit produces a command to initiate a simulation. Upon receipt of this command, an analyzing unit starts to calculate electromagnetic field components with an alternating direction implicit FD-TD method. The analyzing unit divides each time step into a first-half and second-half stages and alternately executes their respective operations.

Abstract: An electromagnetic wave analyzer which numerically analyzes the behavior of electromagnetic waves at a higher computation speed, even when the object model has fine geometrical features. An analysis command input unit produces a command to initiate a simulation. Upon receipt of this command, an analyzing unit starts to calculate electromagnetic field components with an alternating direction implicit FD-TD method. The analyzing unit divides each time step into a first-half and second-half stages and alternately executes their respective operations. Take a TE wave for instance. Receiving data at time n&Dgr;t from a second-half stage processor, a first-half stage processor calculates electromagnetic field components at time (n+1/2)&Dgr;t. At this stage, x-direction electric field components Exn+1/2 are obtained with an explicit method, and y-direction electric field components Eyn+1/2 and z-direction magnetic field components Hzn+1/2 with an implicit method.

Abstract: An electromagnetic wave analyzer which computes transitional behavior of electromagnetic waves, taking into account conductor losses in each metal part, without the computation being limited by the metal thickness or angular frequencies. An initialization unit initializes various calculation parameters such as metal thickness d, the number of meshes, mesh sizes, dielectric constant ∈ of each cell, permeability &mgr;, and electrical conductivity &sgr;. An analyzing unit uses a finite difference time domain method to solve a given equation under a surface impedance boundary condition in which the surface impedance z(&ohgr;) of a metal part becomes to 1/d&sgr; when the skin depth &dgr; approaches infinity (i.e., when the angular frequency &ohgr; approaches zero). The analyzing unit yields a solution that described the transitional behavior of electromagnetic waves and outputs it as a result data file.

Abstract: A simulator apparatus for a combined simulation of electromagnetic wave analysis and circuit analysis, which is configured to produce stable solutions with a smaller amount of processing loads. An electromagnetic wave analyzer calculates magnetic field at a simulation time tem01 and then electric field at another simulation time tem02 thereby performing a transient analysis of electromagnetic waves. A circuit analyzer solves the given circuit equation at still another simulation time tcs that is incremented by a variable time step size &Dgr;tcs determined in accordance with the circumstances. A current source data transfer unit compares tem01 and tcs, and if their difference falls below a time difference threshold &lgr;1, it calculates current source data for the equivalent circuit, based on the magnetic field obtained by the electromagnetic wave analyzer. The current source data transfer unit then transfers the resultant current source data to the circuit analyzer.

Abstract: A wave analyzing apparatus and method reduce the amount of time required for wave analysis. When changing wave data of a specified discrete point within an analysis domain expressed by a plurality of discrete points, the wave analyzing apparatus analyzes propagation of the changes in the form of spatial and time variations of wave data of other discrete points.

Abstract: A graphic display apparatus for rotating a three-dimensional figure about the three axes of the Cartesian coordinate system has a graphic information storing unit for storing graphic information of a three-dimensional object to be displayed, a rotative action indicating unit for indicating rotative actions to rotate the three-dimensional object being displayed about the three axes, a display coordinate calculating unit for calculating coordinates of the three-dimensional object after it is rotated, a rotational angle calculating unit for calculating rotational angles of the three-dimensional object after it is rotated, and a display unit for displaying the three-dimensional object after it is rotated and the calculated rotational angles. The rotational angle calculating unit calculates the rotational angles of the three-dimensional object rotated by the rotative action, as rotational angles from the initial state of the three-dimensional object in a predetermined sequence of three rotative actions.

Abstract: A constraint condition generating apparatus generates a constraint condition which should be output to a molecular dynamics simulator for simulating a behavior of a molecule based on a molecular dynamics method under the constraint condition for freezing a part of the degree of freedom within the molecule.

Abstract: An integral value calculating device is used for calculating an integral value of a function, and a function gradient calculating device is used for calculating the gradient of the graph for a function. The object is to obtain a transport coefficient, etc. by designating an appropriate calculation range in analyzing the data output by a molecular dynamics simulator. In the integral value calculating device, a graph display unit outputs a graph according to received data, for example, a graph of a time correlation function F(t) of the time differential W'(t) to the dynamics volume W(T), in the format applicable to an external unit, for example, a display unit. A calculation range input unit designates an integral range for the function according to the position data externally input for the graph. An integral value calculating unit calculates an integral value for a function F(t), for example, for the designated integral range.

Abstract: A Mach-Zehnder interferometer type modulator, constructed of first and second optical waveguides, first and second electrodes cooperating with the same, and a driving voltage source, wherein a driving voltage source is constructed of first and second driving units which drive independently the first and second electrodes in accordance with a data input and wherein the first and second driving units apply first and second driving voltages, individually determined, to the first and second electrodes.