Pesquisadores mostram como aumentar o brilho e a potência do laser de raios X usando uma cavidade de cristal e espelhos de diamante
A longa – mas não muito longa – cavidade faria ping-pong pulsos de raios-X dentro de uma instalação de acelerador de partículas para ajudar a capturar os movimentos mais rápidos da natureza.
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Nas instalações de aceleradores de partículas em todo o mundo, os cientistas contam com poderosos raios-X para revelar a estrutura e o comportamento de átomos e moléculas. Agora, pesquisadores do SLAC National Accelerator Laboratory do Departamento de Energia calcularam como tornar os pulsos de raios X em lasers de elétrons livres de raios X (XFEL) ainda mais brilhantes e confiáveis, construindo uma câmara de cavidade especial e espelhos de diamante em torno de um XFEL.
“Queremos tornar nossos XFELs mais parecidos com lasers”, disse Zhirong Huang, um SLAC e professor de ciência de fótons de Stanford. “Estamos procurando uma maneira de fazer isso há décadas e, com nossos novos cálculos, demonstramos que esse sonho pode se tornar realidade.”
Em XFELs como Linac Coherent Light Source (LCLS) do SLAC , a potência de pulsos de raios X individuais varia de pulso para pulso. O resultado são raios de luz temporalmente incoerentes – menos lasers semelhantes a lasers – que são mais difíceis para os cientistas usarem para concluir experimentos porque são menos previsíveis.
Em um novo estudo, detalhado este mês na Physical Review Letters , os pesquisadores mostram como gerar pulsos de raios X coerentes usando uma intrincada cavidade de cristal e um sistema de espelho – e sem a necessidade de uma cavidade extraordinariamente longa e complicada.
“A motivação para gerar raios-X coerentes e de alto brilho é estudar materiais do mundo real e o que acontece com esses materiais sob diferentes condições”, disse Jingyi Tang, cientista do SLAC e coautor do artigo. “Queremos estudar sistemas mais dinâmicos e difíceis de capturar.”
Armazenando luz usando espelhos
A ideia de capturar raios-X usando espelhos pode parecer impossível à primeira vista. Mas em um acelerador de alta taxa de repetição como o LCLS-II , essa ideia pode ser possível – se você tiver o equipamento de armazenamento certo e uma boa imaginação.
Os pesquisadores estudaram o que é chamado de laser de elétrons livres de raios-X baseado em cavidade (CBXFEL). Nesse projeto, uma estrutura de cavidade – talvez com centenas de metros ou até mais de um quilômetro de comprimento – captura pulsos de raios X incoerentes que foram gerados em uma instalação de aceleração, como a do SLAC.
Dentro da cavidade, os raios-X saltam de quatro espelhos de diamante, que enviam os pulsos de raios-X em voltas retangulares. Enquanto os pulsos circulam dentro da cavidade, o próximo feixe de elétrons dentro do acelerador viaja em direção a eles. Quando o feixe chega, o pulso de raio X saltitante interage com o feixe de elétrons, apertando-o e organizando-o. Quando balançado em um dispositivo chamado ondulador, esse feixe de elétrons mais compacto produzirá raios-X mais coerentes e brilhantes mais abaixo no acelerador.
Antes de seus novos cálculos, os pesquisadores pensavam que manter o poder de um pulso de raios-X enquanto ele ricocheteava em torno da cavidade poderia exigir feixes de elétrons espaçados ou uma cavidade de quilômetros de comprimento, tornando a ideia muito mais difícil de implementar.
“Mostramos que um sistema de cavidades de alta qualidade pode precisar ter apenas 100-300 metros de comprimento, mesmo com um poderoso XFEL operando em uma taxa de repetição mais lenta, o que significa mais espaço entre os feixes de elétrons”, disse Zhen Zhang, cientista e coautor do SLAC. .
Controlando a perda de cavidade
A chave para esse novo design é controlar o que os pesquisadores chamam de fator de qualidade da cavidade, Q. O fator de qualidade representa a refletividade dos espelhos na cavidade. Um alto valor de Q significa refletividade muito alta, o que permite que a potência dos raios X recircule na cavidade com pouca perda. Um valor Q mais baixo significa menor refletividade, o que significa que uma quantidade significativa de raios-X deixa a cavidade e é transmitida pelo acelerador.
Quando os raios X são recirculados em uma cavidade mais curta sem nenhuma interação com o feixe de elétrons, o Q é mantido muito alto. Quando esses raios-X interagem com um feixe de elétrons recebidos, os pesquisadores podem controlar com precisão o comprimento de onda e o espectro de raios-X amplificados para alterar a cavidade Q - chamada Q-switching. Isso significa que eles podem diminuir o valor Q quando os raios-X tiverem potência suficiente – ou seja, quando os raios-X estiverem prontos para deixar a cavidade e viajar pelo acelerador para os experimentos.
Ao controlar Q, os pesquisadores podem dar ao pulso de raios-X coerente sua vez de recircular várias vezes ao redor da cavidade e do sistema de espelhos. Essa capacidade dos pulsos de raios-X coerentes agora viajarem pelo sistema com pouca perda dá aos pulsos mais tempo para acumular energia, encurtando assim o comprimento necessário da cavidade e criando raios-X com alta potência de saída.
No próximo ano, cientistas e engenheiros do SLAC, em colaboração com o Argonne National Laboratory e outras instituições, estão trabalhando na construção de uma cavidade de teste no LCLS do SLAC. Os objetivos iniciais do experimento são demonstrar o aumento de potência após o raio X ser recirculado pela cavidade e observar o desempenho da cavidade. O Q-switching também pode ser testado em um sistema CBXFEL assim que os objetivos iniciais do experimento forem alcançados, disseram os pesquisadores.
Este projeto foi apoiado em parte pelo Office of Science do DOE.
Citação: Tang, Zhang et al., Physical Review Letters , 31 de julho de 2023 ( doi.org/10.1103/PhysRevLett.131.055001 )
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