Syntax for Algebraic Option

When adding a named expression, HFSS users have the option of defining it using algebraic expressions.

An algebraic expression is either a namedExpression, a constant, a name, an operator, two expressions separated by a binaryOperator, or an expression enclosed in parentheses.

An operator is an opName followed by arguments.

An argument is either empty parentheses, an expression enclosed by parentheses, or two expressions separated by a comma and enclosed by parentheses.

A binaryOperator is one of the following literals: ‘+’, ‘-’, ‘*’, ‘/’, '%', '^'

A name is either a project, design, or intrinsic variable (scalar or vector), or a geometry.

A constant can be one of the following:

• scalar literal; for example, “1.5e-10”

• complex number; for example, "3.5-1.0i" or “<(3.5, -1.0)>”

• 3D vector; for example, "<1.0, 2.0, 3.0>"
• complex 3D vector; for example, "<1.0-2.0i, 2.0-3.0i, 3.0-4.0i>" or "<(1.0, -2.0), (2.0, -3.0) ,(3.0, -4.0)>”

The syntax for an algebraic expression is summarized below.

expression : namedExpression

| constant

| name

| operator

| expression binaryOperator expression

| '(' expression ')'

operator : opName arguments

binaryOperator : + | - | * | / | % | ^

arguments : <empty>

| '(' expression ')'

| '(' expression ',' expression ')

Note the following:

• % is used for the vector dot product; for example, Integrate(AllObjects, Real(E%H))
• * supports vectors on both sides as the operand and the cross-product. For example, Integrate(AllObjects, Mag(E*H)) can be used instead of Integrate(AllObjects, Mag(Cross(E,H)).