A forma algébrica geral que descreve um pulso ou qualquer onda progressiva (viajante) que se move em uma dimensão é dada por uma função que depende da posição (x) e do tempo (t) na forma:[br][br]y(x,t)=f(x +- vt)[br][br]Onde: [br]y é o deslocamento transversal (ou a perturbação) do meio em um determinado ponto x e instante t.[br]f é a função que descreve o perfil ou a forma do pulso.[br]Pode ser qualquer função matemática (como uma gaussiana, um seno, etc.).[br]x é a posição ao longo da direção de propagação.[br]v é a velocidade de propagação do pulso no meio.[br]t é o instante de tempo.[br]O sinal negativo ( x-vt) representa um pulso que se propaga no sentido positivo do eixo x (para a direita).[br]O sinal positivo ( x+vt) representa um pulso que se propaga no sentido negativo do eixo x (para a esquerda). [br][br]A chave para entender a descrição matemática de uma onda progressiva é que a variável independente da função f é sempre uma combinação de x e t na forma x +- vt.[br][br]Pulso Gaussiano[br]Um exemplo comum de uma função que representa um pulso específico éum pulso gaussiano:[br][br] 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caso: [/*][*]A é a amplitude do pulso.[/*][*]sigma está relacionado à largura do pulso.[/*][*](x-vt) indica a propagação para a direita com velocidade v.[/*][/list][br][br] 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[/img][br]