{'fraction_non_alphanumeric': 0.0266497461928934, 'fraction_numerical': 0.007614213197969543, 'mean_word_length': 4.932330827067669, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Microwave Circuits Described by Two-Dimensional Vector Wave Equation and their Analysis by FD-TD Method

The paper postulates distinction of a class of microwave circuits described by two-dimensional vector wave equation. It proposes to refer to them as vector two-dimensional or 2-DV circuits to distinguish them from the circuits described by two-dimensional scalar wave equation (typically referred to as 2-D circuits). The class of 2-DV circuits includes many microwave circuits of great importance. Formal description of the 2-DV circuits is presented in a form of extension of the formulas describing 2-D circuits. The paper presents also effective way of calculating arbitrarily shaped 2-DV circuits by finite-difference time-domain method. Examples of calculations are also shown.